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i Physicochemical Analysis on the Interaction of Aβ 40 and 42 with GM1 Ganglioside-Containing Lipid Membrane 2018 Majid Vahed Department of Physical Chemistry Graduate School of Pharmaceutical Sciences Chiba University

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Page 1: Physicochemical Analysis on the Interaction of Aβ …I.2.1 Lipid composition of Neuronal Neuritic and Somata Alderon et al. determined lipid composition of neuronal neuritic and somata

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Physicochemical Analysis on the Interaction of Aβ40 and

Aβ42 with GM1 Ganglioside-Containing Lipid Membrane

2018

Majid Vahed

Department of Physical Chemistry

Graduate School of Pharmaceutical Sciences

Chiba University

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Contents

Abstract……………………………………………………………………...……………1

I. Introduction…...……….………………………………………………………………...2

I.1 Lipids……...……………………….………………….……………..…………3

I.2 Lipid Composition of Neuron Cell …………….………….………………..….3

I.2.1 Lipid Composition of Neuronal Neuritic and Somata ……….….......3

I.2.2 Sphingomyelin ………..…………………………………………......3

I.2.3 Gangliosides ……………………………………..……………….....4

I.2.4 Cholesterol……………………………………...………………..…..5

I.3 Amyloid Beta……………………………………….....……………………….5

I.4 Molecular Dynamics Simulations …………………….....…………………....6

I.5 Analysis of MD Simulation……………………….……………………….......7

I.6 Composition of the Thesis ……………………….……………………….......10

II. Analysis of Physicochemical Interaction of Aβ40 with GM1 Ganglioside Containing Lipid

Membrane………………………………………………………………......………....…..11

II.1 Introduction…….……..……….……………………………………...……....12

II.2 Method………...………………………………………...................................14

II.2.1 Construction of Computational Model……………………..….…..14

II.2.2 Calculation Condition of MD Simulation……………………….....16

II.2.3 Analysis of Simulation Products……...………...……….……...16

II.3 Results………………………………………………………………….....…..17

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II.3.1 Single Aβ Peptide on a GM1-Containing Membrane ……………..17

II.3.2 Interaction of Aromatic Residues ………...……………………......22

II.3.3 Hydrogen-Bond Interaction of Aβ40 Peptides……………...……....24

II.3.4 Binding Free Energy of Aβ40 Peptide to Lipid Membrane………...28

II.3.5 Conformation of Aβ40 Peptide………………...….…………....…..30

II.4 Discussion…..……..…………….….……...…………………………...….....33

II.4.1 Insertion of Aβ40 Into Lipid Membrane…………….....…..…….....33

II.4.2 Interaction between Aβ Peptide and GM1-Ganglioside….…....…..35

II.4.3 H-Bonds between Aβ40 and Membrane………………….…...…....36

II.4.4 Secondary Structure of Aβ40……...…………………………..........37

II.4.5 Comparison with the Findings from the Previous Studies…….......37

II.5 Conclusion………..……………....………...……………………………........39

III. A Unique Conformation and Aggregation of Aβ42 Peptides on GM1 Ganglioside

-Containing Lipid Membrane …………………………………………………………..40

III.1 Introduction………………………….…………..…..………………...…….41

III.2 Methods…………………………...………………………………..…..…….42

III.2.1 Construction of Computational Model………......…………..…....42

III.2.2 Calculation Condition of MD Simulation….……….………….....42

III.2.3 Analysis of MD Simulations………………………………….…..42

III.3 Results……….. ………..………………….………………………………...42

III.3.1 Motion of Aβs Molecules……………..……..…………………....42

III.3.2 Simulation Trial I with Four Aβ Peptides……………………..….43

III.3.3 Simulation Trial II with Five Aβ Peptides……………….......…....45

III.3.4 Interaction of Aromatic Residues…………………..………….….48

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III.3.5 Hydrogen-Bond Interaction of Aβ Peptides………………...….…51

III.3.6 Hydrogen-Bond Interaction between Aβ Peptides……….…….…55

III.3.7 Secondary Structure & Conformational Diversity of Aβ Peptides..58

III.3.8 Binding Free Energy between Aβs and Lipid Membrane…….…...61

III.3.9 Binding Free Energy between Every Two Aβs………………....…64

III.3.10 Cluster Dendrogram Aβs Structure…………….………..……….66

III.4. Discussion…………………………………………………………....….......68

III.4.1 Formation of Aβs Complex………………………………….….…68

III.4.2 Compatibility with Experimental Findings………………...…..….69

III.4.3 Roles of Several Residues in Aβ Complex…………………...........70

III.5 Conclusion…………………………… ………………………………....…...72

IV. Summery………………………………………………..……………...………........…73

Acknowledgment……………………..……………………………………………............74

References ………………………..…………..…………..…………………….…….....…75

Publications ……………………………………………………………..………..….…....80

Presentations …………………………..……………………………………….....…….....81

Thesis Examiner Committee………………..……………….......…………………...........82

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Figures & Tables Contents

Table

Table1: Ratio of Secondary Structures of Single Aβ40 and Aβ42 Observed in the Simulations…..38

Figures

Figure 1: Amino acid sequence of Aβ. …………………………..………...… … …….…6

Figure 2: Representation of the calculation method used to gain free energy of binding in

solvated media ……………………………………………………………………………9

Figure 3: Chemical structures of the lipid molecules composing computational model

Membrane………………………………………………………………..………...….…14

Figure 4: Model of the GM1, SM, and Chol mixed membrane …………….…………...15

Figure 5: Motion of Aβ40 in each of the five 100 ns MD simulations ………….….........18

Figure 6: Final structure of 100 ns MD simulation………………………………….…..19

Figure 7: Change of z-axis of Aβ40 peptide …………………………………...…….......21

Figure 8: Change of the distances between aromatic rings of 4 residues of Aβ40 with

lipid………………………………………………………………………………………23

Figure 9: Accumulative number of H-bonds of 100 ns MD simulation for 5 trials ….....24

Figure 10: Number of H-bonds between each residue of Aβ40 and NEU and/or GAL ....25

Figure 11: Analysis on the H-bonds between Aβ40 and SM …………………………….26

Figure 12: Atomic geometry of Aβ-bound membrane surface at the moment when Aβ40

was deeply inserted in the lipid membrane…………………………………….……….. 27

Figure 13: Change of the binding free energy between a single Aβ40 peptide and lipid

membrane for the 100 ns MD simulation………………………………………….…….29

Figure 14: Change of the secondary structure of Aβ40 peptide……………………..…....31

Figure 15: Dendrogram obtained by cluster analysis y of Aβ40………………….…..…..32

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Figure 16: Motion of Aβ42 peptides with the four Aβs-incorporated model………………44

Figure 17: Change of z-axis of four Aβ42 peptides during the 1000 ns MD simulation......45

Figure 18: Motion of Aβ42 peptides with the five Aβs-incorporated model….....………...46

Figure 19: Change of z-axis of five Aβ42 peptides during the 1000 ns MD simulation..…47

Figure 20: Changes of the distances of the aromatic rings of 4 residues of Aβ peptide…………...49

Figure 21: Changes of the distances of the aromatic rings of 4 residues of Aβ peptide………..….50

Figure 22: Total number of H-bonds, summed up for all the four Aβs…………..…….….51

Figure 23: Accumulative number of H-bonds for the four Aβs-incorporated mode…..….52

Figure 24: Total number of H-bonds, summed up for all the five Aβs………..……….…53

Figure 25: Accumulative number of H-bonds for the 1000 ns MD simulation ……..……54

Figure 26: Accumulative number of H-bonds between two Aβ peptides for the four Aβs.56

Figure 27: Accumulative number of H-bonds between two Aβ peptides for the five Aβs..57

Figure 28: Change of the secondary structure of four Aβs peptide …………………...….59

Figure 29: Change of the secondary structure of five Aβs peptide ………..…………...…60

Figure 30: Change of the binding free energy of each Aβ to the lipid membrane …......…62

Figure 31: Change of the binding free energy of each Aβ to the lipid membrane ……..…63

Figure 32: Change of the binding free energy between two Aβs ………………….......…64

Figure 33: Change of the binding free energy between two Aβs ……………………..…..65

Figure 34: Dendrogram obtained by the cluster analysis of four Aβs ……………........…66

Figure 35: Dendrogram obtained by the cluster analysis of five Aβs……………….........67

Figure 36: Aβs complex to the lipid membrane ………………………………….……....71

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Abbreviations

Aβ Amyloid β-Protein

AD Alzheimer’s Disease

APP Amyloid Precursor Protein

Chol Cholesterol

DSSP Defined Secondary Structure of Protein

DIG Glycoshpingolipid-Rich Domain

GM1 GM1 Ganglioside

GSLs Glycosphingolipid

GPUs Graphics Processing Units

GAL Galactose

H-bonds Hydrogen bonds

MD Molecular Dynamics

MM-GB/SA Molecular Mechanics Generalized Born/Surface Area

NANA N-Acetylneuraminic Acid

NMR Nuclear Magnetic Resonance

NEU Neuraminic Acid

PDB Protein Data Bank

POPC Palmitoyl-Oleoyl-Phosphatidyl-Choline

POPE Palmitoyl-Oleoyl-Phosphatidyl-Ethanolamine

RMSD Root Mean Square Deviation

SM Sphingomyelin

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Abstract

Aggregation and complex formation of Aβ peptides on the neuronal cell membrane is a

hallmark of the neuro-disturbance disease. In this work, I performed MD simulations to

investigate the initial stage of adhesion of Aβ40 and Aβ42 to a GM1 ganglioside-containing

membrane. Conformational change of Aβ40 and Aβ42 due to the interaction with the

membrane was monitored. Multiple computational trials were executed to analyze the

probability of the Aβ binding using a calculation model consisting of the GM1-containing

mixed lipid membrane, water layer, ions, and Aβs. In this work, I performed MD simulations

to investigate the initial stage of adhesion of Aβ40 (chapter II) and Aβ42 (chapter III) to a lipid

membrane containing GM1/SM/Chol. An important feature of our computational study is that

Aβ40 showed more various structural transformation than Aβ42. This feature on the

conformational flexibility enabled Aβ40 to be inserted into space that not occupied by head

groups of lipids on the membrane surface. The α-helix content of Aβ42 is larger than that of

Aβ40, and then the structure of Aβ42 is more stable than Aβ40. It is implied by Aβ40 relatively

shows dynamic movement, compared to Aβ42. Arg5 and Lys28 are important residues to hold

the Aβ42 helix on the membrane surface, but residues His14 and Leu34 were important to

adhesion Aβ40 on the membrane. A parallel β-sheet is formed between the C-terminal

hydrophobic regions of the two Aβ42 peptides.

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Chapter I

I. Introduction

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I.1 Lipid

Lipids are a diverse group of molecules that are approximate insoluble in water. Lipids

play two principal roles in the body: energy storage or forming cell membranes. Other

characters of lipids serve as essential cofactors for enzymes, such as electron transporters, or

as signal transduction molecules. Lipids often consist of fatty acids molecules. Fatty acids are

carboxylic acids with hydrocarbon chains between 4 to 36 carbons long. The most common

biological fatty acids have a limited number of carbons between 12 and 24.1 The mammalian

nervous system is rich in SM 2 and GSLs.3 Gangliosides are primary components of neuronal

membranes, where they participate up to 10–12% of the total lipid content and contribute in

crucial processes of the nervous system.3 The SM, ceramide, and GSLs of brain changes

throughout life, during aging and in neurodegenerative diseases.4

I.2 Lipid composition of Neuron cell

I.2.1 Lipid composition of Neuronal Neuritic and Somata

Alderon et al. determined lipid composition of neuronal neuritic and somata of ganglia.

Neuronal neuritic contained 15% of the dry weight as lipid (22.1% Chol, 7.7% galactolipid,

and 56.4% total phospholipid) but neuronal soma comprised 37% of dry weight as lipid

(15.4% Chol, 4.8% GAL, and 57.1% phospholipid).5 The high concentration of Chol in

neuritic lipid indicated the higher percentage of the plasma membrane in this part. The

ganglioside pattern of neurites is distinct from that of the neuronal soma.5

I.2.2 Sphingomyelin

Sphingomyelin (SM) is a type of sphingolipid discovered in animal cell membranes,

especially in the membranous myelin sheath that surrounds some nerve cell axons. It consists

of phosphocholine and ceramide, or a phosphoethanolamine head group; therefore, SM can

also be classified as sphingophospholipids. In humans, SM represents ~85% of all

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sphingolipids, and typically make up 10–20 mol percentage of plasma membrane lipids.6

Simple sphingolipids such as ceramide and SM as well as more complex GSLs have an

essential duty in cell function under the physiological situation and during disease

development and progression. Sphingolipids are especially abundant in the nervous system.

According to their amphiphilic nature, they localize to cellular membranes and many of their

roles in health and disease cause from membrane reorganization and lipid interaction with

proteins within cellular membranes.4

I.2.3 Gangliosides

Gangliosides are the class of GSLs that display the considerable structural variation and

also the greatest complex structure.7 Gangliosides are main molecular determinants on the

surfaces of vertebrate nerve cells.8 This group consists molecules constituted of ceramide

connected by a glycosidic bond to an oligosaccharide chain comprising hexose and N-

acetylneuraminic acid (NANA, acidic sugar also known as sialic acid) units.7 These GSLs

were discovered and named by Ernst Klenk.9 Gangliosides are principally found in the

nervous system, where they involve 10–12% of the lipid content.4 One of the essential GSLs

is ganglioside GM1 that including a sialic acid as a fragment of its carbohydrate moiety. GM1

is exclusively numerous in neuronal plasma membranes.10, 11 The age-related high

concentration GM1 clustering at the presynaptic neuritic terminals is a critical phase for Aβ

deposition in the AD. In amyloid-positive synaptosomes accumulated from AD brain, GM1

rate are significantly increased when Aβ deposition begins at presynaptic terminals.12 Also,

the presence of apolipoprotein E4 assists Aβ assembly in the brain through an enhancement

of GM1 content in neuronal membranes, which probably induces Aβ generation.13-14

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I .2.4 Cholesterol

Chol is a vital structural molecular of cellular membranes and myelin. Chol is the main

constituent of the human brain (with about 35 grams of Chol in an adult brain),15 and the

brain is the primary cholesterol-rich organ,16 containing about 20% of the body’s total Chol.

Chol is a lipid with a unique structure including of four hydrocarbon rings which are super-

hydrophobic. Therefore, the hydroxyl group attached to one end of Chol is poorly hydrophilic,

17 and there is a hydrocarbon tail bonded to one terminal of the steroid and a hydroxyl group

connected to the other end. The hydroxyl group can form H-bonds with the nearby carbonyl

oxygen of phospholipid and sphingolipid head groups. Chol is recognized as a "sterol"

because it is composed of steroid and alcohol. Chol exists in most animal membranes with

differing amounts.18 Chol trafficking defects cause the accumulation of gangliosides.19

I.3 Amyloid Beta

Aβ is small peptide includes typically 39-43 amino acid residues that are a natural

yield of cellular metabolism generated from the APP by the successive proteolytic action of

the β- and γ-secretases.20,21 Physiological concentration of Aβ has important physiological

roles, and might even be crucial for neuronal cell survival.22 Aβ has an extensive distribution

entire the brain and body, even in cognitively healthy person. Evidence illustrates that despite

being a toxic peptide, soluble Aβ works a variety of physiological functions, containing

modulation of synaptic function, facilitation of neuronal growth and survival, protection

against oxidative stress, and surveillance against neuroactive compounds, toxins, and

pathogens.23 Several numbers of evidence demonstrate that Aβ may have a role in controlling

synaptic activity. Kamenetz and his co-worker observed that stimulated activity of

hippocampal neurons in the brain a bit increased the production of Aβ firstly by growing APP

trafficking towards β secretase sites at the cell membrane. This would enhance Aβ formation,

but also increase making of other fragments,24 Non-amyloidogenic cleavage happens when α-

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secretase acts to release sAPPα and C83, the latter being cleaved by γ-secretase to generate

p3. Amyloidogenic cleavage by β-secretase releases APPβ and the residual peptide is cleaved

to produce C88 and Aβ. Aβ, in turn, can be degraded by enzymes consist of neprilysin,

insulin degrading enzyme, and endothelin cleaving enzyme.22 Aβ has eleven electronically

charged amino acids, which have six amino acids with a negative charge (Asp1, Glu3, Asp7,

Glu11, Glu22, and Asp23), three amino acids with positive charges (Arg5, Lys16, and lys28)

at neutral pH, and three electrical charge residues (His6, His13, and His14) at acidity pH (Fig.

1).

Figure 1: Amino acids sequence of Aβ. The positively or negatively charged residues and His are

indicated by blue, red, and green, respectively.

I.4 Molecular Dynamics Simulations

Computer simulation is a bridge between experiment and theory. The intent of the

simulation is the utilization of the computer to model a physical system. Calculations implied

by a mathematical model are carried out by the machine, and the outcomes analyzed

regarding physical properties. Since computer simulation deals with models, it classified as a

theoretical method.25 MD technology is a computer simulation method for investigating the

physical movements of atoms and molecules. The method of MD solves Newton's equations

of motion for a molecular system, which outcomes in trajectories for all atoms in the

system.26 In the background of molecular modeling, a force field (a particular case of energy

functions or interatomic potentials) refers to the functional case and parameter sets used to

calculate the potential energy of a system of atoms or coarse-grained particles in molecular

mechanics and MD simulations. The parameters of the energy functions are probably taken

from experiments in physics or chemistry, estimated in quantum mechanics, or both.27 The

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fundamental functional form of potential energy in molecular mechanics consists bonded

terms for interactions of atoms that are connected by covalent bonds, and non-bonded (also

termed non-covalent) conditions that characterize the long-range electrostatic and van der

Waals forces. The specific analysis of the terms relates to the force field, but a standard form

for the total energy in an additive force field can be written as where the components of the

covalent and non-covalent shares. The most general force fields are DREIDING,28

Universal,29 AMBER,30 and CHARMM,31 and the MD simulation program packages, for

instance, AMBER, CHARMM, NAMD.32 MD simulations are regularly beginning from a

three-dimensional protein structure determined by X-ray crystallography, NMR or theoretical

models and use an experimental force field to estimate the potential energy surface of a

protein. MD is the principal method used in our research, a summary note on the current

state-of-the-art in MD is future attention on subsection. The most considerable developments

in computational infrastructures consist the accessibility of calculating power and advances in

parallel computing platforms. Many universal MD codes have been modified to use GPUs to

speed up specific computations.33 For example, NAMD has been changed to run on GPU for

accelerating explicit solvent and non-bonded interaction computations. For simulating

protein-protein interactions, the complexes are solvated in water with physiological

concentrations of sodium chloride. Periodic boundary conditions are used to minimize

artifacts caused by boundaries34 with simulation boxes sufficient to incorporate all simulated

conformations of any system properly.

I.5 Analysis of MD Simulation

For analysis of trajectories, there is RMSD. RMSD measurement was accomplished,

using the ptraj module of AMBER program.35 If the time progress of RMSD value displays

steady, the molecule fluctuates in a single conformation, and the calculation system is

supposed to be equilibrated. RMSD for MD simulation calculated with related to the Cα, N,

and C main chain atoms. The secondary structure content of each protein was computed using

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DSSP36 which classifies each residue into 8 categories: H = alpha helix, B = residue in

isolated β-bridge (single pair β-sheet hydrogen bond formation), E = extended strand in

parallel and/or anti-parallel β-sheet conformation (min length two residues), G = 310 helix

helix, I = π helix, T = hydrogen bonded turn and S = bends. A blank in the DSSP secondary

structure definition stands for a loop or unusual structures. Loops and different elements are

mostly named "random coil" or coils and are replaced by “C.” Computational systems that

link molecular mechanics energy and implicit solvation models, such as Molecular

Mechanics/Generalized Born Surface Area (MM/GBSA), have been extensively exploited in

free energy calculations.37 MM/GBSA allow us for strong free energy analyzing of the

complex from different groups of atoms or types of interaction. In MM/GBSA, the binding

free energy (ΔGbind) between a ligand and a receptor to form a complicated measured as the

formulas at the bottom of this page, where ΔEMM, ΔGsol, and -TΔS are the changes of the gas

phase MM energy, the solvation free energy, and the conformational entropy upon binding,

respectively. ΔEMM includes ΔEinternal (bond, angle, and dihedral energies), ΔEelectrostatic

(electrostatic), and ΔEvdw (van der Waals) energies. ΔGsol is the sum of electrostatic solvation

energy (polar contribution), ΔGGB, and the non-electrostatic solvation component (nonpolar

contribution), ΔGSA. The polar contribution measured applying either the GB model, while

the nonpolar energy determined by solvent accessible surface area. The conformational

entropy change TΔS is ordinarily calculated by normal-mode analysis on a set of

conformational snapshots taken from MD simulations (Fig. 2).38,39

ΔGbind = ΔH - TΔS ≈ ΔEMM + ΔGsol - TΔS

ΔEMM = ΔEinternal + ΔEelectrostatic + ΔEvdw

ΔGsol = ΔGGB + ΔGSA

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Figure 2: Representation of the calculation method used to gain free energy of binding in solvated

media

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I.6 Composition of the Thesis

This thesis describes the following two main subjects;

1. Analysis of Physicochemical Interaction of Aβ40 with GM1 Ganglioside Containing

Lipid Membrane (Chapter II).

2. A unique conformation and aggregation of Aβ42 Peptides on GM1 Ganglioside-

Containing Lipid Membrane (Chapter III).

In the first topic, I performed MD simulation to investigate the behavior of single Aβ40

molecule into the model with its lipid composition of GM1/SM/Chol = 1:2:2 and compared

with the findings from the previous studies of a single Aβ40 model shown in Chapter II.

In the second topic, I performed MD simulation to investigate the initial stage of interactions

of multiple Aβ42 peptides on a GM1 ganglioside-containing membrane. Two types of models

incorporated four or five Aβ42 peptides shown in Chapter III.

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Chapter II

Analysis of Physicochemical Interaction of Aβ40 with GM1 Ganglioside-

Containing Lipid Membrane

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II.1. Introduction

Aβ are involved in the pathogenesis of neurodegenerative disorders such as AD,

Parkinson's disease, Huntington’s disease, and so on.40,41 AD is a progressive cognitive

deterioration and one of the most widespread forms of dementia 42. Extracellular

aggregation of Aβ is a hallmark in AD brains.43 The most commonly observed forms of

toxic Aβs consist of 40 and/or 42 residues, which are referred as Aβ40 and Aβ42.44, 45, 46 Aβ

is a natively unfolded protein, and under some condition, Aβ aggregates to develop into a

heterogeneous mixture of oligomers and fibrils. Numerous reports have suggested that

Aβs exhibit affinity to lipid membrane of neuronal cell.47 Aβ oligomers on the membrane

surfaces are deformed into pathogenic structures in AD.48, 49, 50 Further, soluble Aβ

monomers were capable of penetrating into the lipid bilayer deeply.50 It has been reported

that the Aβ insertion into lipid membrane was strongly influenced by pH condition and

the presence of metal ions.51, 52 Many studies have suggested that the aggregation of toxic

Aβ peptides on lipid membrane was enhanced on the glycolipid-containing micro-domain

which consisted of, for example, GM1 ganglioside, SM, and Chol in high

concentrations.53,54 It has also been suggested that Aβs were likely to be bound to a

particular type of micro-domain named the detergent-insoluble DIG. 55 GM1 is an acidic

GSLs abundant in plasma membrane of neurons and is involved in the pathology of AD.

Detailed experimental studies have suggested that the Aβ-GM1 complex acts as a seed for

the aggregation of Aβ.56, 57 A series of in vitro and in vivo measurements and several

NMR studies demonstrated that GM1 had a strong influence on the secondary structure of

Aβ in the early stage of aggregation. 58, 59, 60, 61 Chol enhanced the production of Aβ

fragments.62, 63 Chol also facilitates the Aβ binding to lipid membrane, because a cluster

of GM1, which is formed depending on the concentration of Chol, constitutes the binding

site suitable for Aβ adhesion.64,65 A ganglioside made of a ceramide and oligosaccharide

with one or more sialic acids (e.g. n-acetylneuraminic acid, NANA) linked on the sugar

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chain. An acetylated derivative of the carbohydrate sialic acid, makes the head groups of

gangliosides anionic at pH 7, which distinguishes them from globosides. It is a type of

sphingolipid found in animal cell membranes, especially in the membranous myelin

sheath that surrounds some nerve cell axons. It usually consists of phosphocholine and

ceramide, or a phosphoethanolamine head group; therefore, SM can also be classified as

sphingophospholipids. In humans, SM can represents ~85% of all sphingolipids, and

typically make up 10–20 mol % of plasma membrane lipids. It is especially abundant in

the membranes of these cells, where it helps maintain the integrity of these membranes,

and plays a role in facilitating cell signaling- meaning the ability of your cells to

communicate with each other. In previous study,66 MD simulations were performed for

two kinds of GM1-containing membrane models: one model consisted of GM1, SM, and

Chol in a ratio of 1:2:2 and the other consisted of GM1 and POPC in a ratio of 1:4. The

simulations showed a marked difference between the two membrane models, that is, GM1

molecules in the former model were condensed while those in the latter model scattered.

GM1 clusters were formed only on the GM1/SM/Chol membrane.66 The experimental

studies suggested that a condensation of GM1 molecules due to the DIG-like environment

was critical for the formation of the Aβ-GM1 complex.65 Hence, in our subsequent

study,67 I carried out multiple MD simulations based on the GM1-clustered lipid

membrane model, in which Aβ42 molecules were incorporated into the model system with

the lipid composition of GM1/SM/Chol =1:2:2. The simulation clarified that Aβ42 was

occasionally bound to the lipid membrane tightly in which the amine group of Lys28 of

Aβ42 was held by the Neu5Ac residues that formed a gathering pit on the GM1 cluster. 67

In the present work, I have performed MD simulation with incorporating Aβ40 molecule

into the model with its lipid composition of GM1/SM/Chol = 1:2:2. The computational

results will provide a picture of the binding of Aβ40 to the GM1-containing membrane. A

comparison is made between Aβ40 and Aβ42 in terms of conformational change of Aβ and

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stability of the lipid membrane.

II.2 Method

II.2.1 Construction of Computational Model

The initial atom coordinate of Aβ40 was extracted from the structure that is available

in PDB with an accession code of 2LFM.68 The structure was determined by a solution

NMR spectroscopy without detergent. Since the structure, 2LFM, contains 20

conformations, the first NMR conformation was selected.

The membrane model is a GM1-containing lipid mixture consisting of 48 GM1, 96

SM, and 96 Chol molecules with a molar ratio of 1:2:2. Chemical structures of these lipid

molecules are shown in Fig. 3.

Figure 3: Chemical structures of the lipid molecules composing computational model membrane.

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The initial coordinates of the lipids were extracted from the last snapshot structure of the

100 ns MD simulation of our previous study. 66 The computational model also contains a

water layer with sodium and chloride ions, setting the ion concentration equal to 150 mM.

A single Aβ40 molecule was incorporated into the water layer of this model as shown in

Fig. 4. The total number of atoms in the model is about 90,000 and the final model size is

about 70.0 Å × 70.0 Å × 136.0 Å.

Figure 4: (a) Top view of the GM1, SM, and Chol mixed membrane. GM1 oligosaccharides are

depicted in green. Acyl chains of GM1, SM, and Chol are colored yellow, cyan, and red, respectively.

(b) Initial structure of Aβ40 placed in the water layer. (c) Computational model for the Aβ-incorporated

mixed membrane. Sodium and chloride ions are represented by yellow and green spheres. The

periodic boundary box is indicated by lines. Water molecules are not shown for clarity.

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II.2.2 Calculation condition of MD simulation

MD simulations were performed using NAMD2.9 program32 with the CHARMM27

force field31. The simulations were divided into four parts: minimization, heating,

equilibration, and production runs. After the potential energy had been minimized, the model

system was heated to 310 K with z coordinates of the head groups of the lipids restrained in

order for the lipids to move only in the x and y directions. I equilibrated the system at a

constant temperature of 310 K and a constant pressure of 1 atm and then accomplish

production runs under no restraint condition. The calculation applied for pre-equilibration,

equilibration, and production, respectively. 66, 67, 69, 70 The production run was carried out at a

temperature of 310 K and a pressure of 1 atm. A periodic boundary condition was applied to

all the xyz-directions, and pressure and temperature were kept constant by the Nose−Hoover

Langevin piston method. The cutoff distance of van der Waals and Coulomb forces in a real

space was set to 12.0 Å. The integration time step was 2 fs. The particle mesh Ewald method

was applied to estimate the effect of long-distance electrostatic force. MD calculations were

carried out 5 times with changing the initial position of Aβ40 in water layer. Simulation time

for each computational trial was 100 ns.

II.2.3 Analysis of simulation products

The hydrogen bond occupancy was calculated using VMD.69 A combination of the

acceptor - hydrogen - donor atoms is regarded as in the formation of hydrogen bond (H-bond)

when the acceptor - donor distance less than 3.5 Å and the acceptor - donor - hydrogen angle

is less than 60°. The binding energy between Aβ peptide and lipid membrane was estimated

by MM/GBSA method using pbsa module of AMBER11.71 The secondary structure of Aβ

peptides was calculated using the defined secondary structure of protein (DSSP) program.31

For visual clarity in drawing of simulation structures, the positions of molecules in some

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parts of the model were transferred to the x-, y-, or z-direction by the length of the periodic

boundary box. All of the structures were visualized by PyMOL.72

Cluster analysis of conformational diversity of Aβs were performed in a similar manner to

our previous work.73 The coordinates of main-chain atoms were extracted from every 10 ns

snapshot structure of all the computational trials. The average main-chain coordinates were

calculated from the extracted coordinates. Then, each extracted coordinate was fitted to the

average one to calculate the root-mean-square deviation (RMSD). In case of Aβ40, a 55×55

matrix of RMSD values was generated from totally 55 snapshot structures. Based on the

RMSD matrix, the structures are classified into groups by performing cluster analysis with

the nearest neighboring method using R software. In the nearest neighboring method, all of

the structures are finally connected as a tree called a dendrogram. The x-axis of the

dendrogram is the label number for the snapshot structures. The y-axis is the distance for the

least dissimilarity among the individual structures based on RMSD matrix. To separate the

snapshot structures into groups from the dendrogram, the criteria of distance was set to 12 Å

for Aβs.

II.3 Result

II.3.1 Single Aβ peptide on a GM1-Containing Membrane

The motion of Aβ40 peptide on the GM1/SM/Chol mixed membrane was investigated

through multiple MD simulations. We carried out 5 times of 100 ns simulations, with

incorporating one Aβ peptide into the model membrane. MD simulation will reproduce the

dynamic movements of Aβ and lipid membrane, which enables us to examine the possibility

of Aβ binding to the membrane. Snapshot structures were extracted every 20 ns from 100 ns

MD simulation for all the trials (Fig. 5). The final structures for the five computational trials

are depicted in Figure 6.

Aβ peptide initially fluctuated at the water layer in every trial and showed connection to

on side lipid leaflets. In the 100 ns period of simulation time. In trial 1, Aβ peptide was bound

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to the surface of lipid membrane and Aβ was weakly attached after 60 ns. In trial 2, unlike

other trials, Aβ was scarcely attached to the bilayer, i.e., the Aβ binding to the membrane sur-

face was soon broken and Aβ fluctuated in the water layer long. In trial 3, Aβ was observed to

be firmly bound to one of the leaflets of the bilayer. In trial 4, Aβ showed firmly bound to the

membrane surface during simulation. When Aβ established a steady contact with the mem-

brane the interaction of Aβ with membrane did not become weak during simulation time. In

trial 5, the connection of Aβ with membrane was not so stable but Aβ showed scarcely re-

leased from the membrane. The primary molecular axis of the helix was almost parallel to the

lipid surface after binding to the membrane.

Figure 5: Motion of Aβ40 in each of the five 100 ns MD simulations for a single Aβ peptide incorpo-

rated into the GM1-clustering lipid membrane. GM1 head groups are depicted in green. Acyl chains

of GM1 ceramide, SM, and Chol are colored yellow, cyan and red, respectively. Sodium and chloride

ions are represented by yellow and green spheres. Aβ peptide is depicted in magenta. Water molecules

are not shown for clarity.

(e) trial 5

(d) trial 4

(a) trial 1

(b) trial 2

(c) trial 3

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Figure 6: Final structure of 100 ns MD simulation for the five computational trials. Aβ peptide is

depicted in a cartoon representation with magenta and GM1 head groups are depicted in green. Acyl

chains of GM1, SM, and Chol are colored yellow, cyan and red, respectively. Water molecules and

ions are not depicted. Only the molecules in the half leaflet of lipid membrane that Aβ40 is bound to

are shown for clarity. Side (left) and top (right) views are shown for every trials in (a)-(e).

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Further, the z-axis change of the center of mass of Aβ peptide was monitored during MD

simulation (Fig. 7). Aβ peptide initially fluctuated at the water layer in every trial. In the 100

ns period of simulation time, Aβ peptide was bound to the surface of lipid membrane except

for trial 2. In trial 2, Aβ was scarcely attached to the bilayer, i.e., the Aβ binding to the

membrane surface was soon broken and Aβ fluctuated in the water layer long. In other four

trials, Aβ was observed to be firmly bound to one of the leaflets of the bilayer. The primary

molecular axis of the helix was almost parallel to the lipid surface after binding to the

membrane.

According to the change in z-axis of the uppermost and lower most trials in Fig. 7, the

principle molecular axis of Aβ trial3 was changed from parallel to vertical to the membrane

surface at 100 ns and the N-terminal side was exposed to water. Another Aβ was bound to the

same side of the membrane as Aβtrial3, which was labelled as Aβ trial2. The principal mo-

lecular axis of Aβ trialtrial2 was almost parallel to the membrane surface through the simula-

tion and the upper most atom was considerably close to the membrane after 400 ns. The last

Aβ, Aβ trial1, was singly attached to the opposite leaflet of the membrane. Aβtrial1 slowly

migrated on the membrane surface during MD simulation. The z-axis showed that except

Aβtrial4, all peptides had connection with lipid membrane.

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Figure 7: Change of z-axis of Aβ40 peptide during the 100 ns MD simulation. The center of mass of

Aβ peptide is represented by blue line. The positions of the uppermost and lowermost atoms of the Aβ

peptide are indicated by pink and navy lines. The center of mass of GM1 head groups is represented

by red and/or green lines for the upper and lower leaflets, respectively.

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II.3.2 Interaction of Aromatic Residues

There are four aromatic residues, Phe4, Tyr10, Phe19, and Phe20, at the N-terminal

side of Aβ40. The interaction of these four aromatic residues with GM1 head groups was

monitored during the 100 ns MD simulation for the five trials (Fig. 8). In every trial except

for trial 2, some aromatic rings were within a distance that enabled CH−π and/or OH−π

interaction with GM1. In trial 1, three residues, Tyr10, Phe19, and Phe20, were within the

distance for interaction at 60 ns, but the aromatic rings were apart from GM1 after 65 ns. In

trial 2, the time for interaction was short. In trial 3, the interaction between aromatic rings of

Aβ40 and lipid membrane was established after 20 ns. All four aromatic residues were stably

kept within the distance for 70 – 90 ns. In trial 4, almost all the aromatic rings were within

the distance possible for CH−π or OH−π interaction through the 100 ns simulation. In trial 5,

interaction was established at 30 ns and all four aromatic residues were close to GM1 for 58 –

62 ns. As observed in Fig. 8, Phe20 tends to establish stable CH−π contact with GM1. Phe4

and Tyr10 are unlikely to have steady interaction compared to the other aromatic residues.

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Figure 8: Change of the distances between the center of the aromatic rings of 4 residues of Aβ peptide

and the closest atom of GM1 head groups during the 100 ns MD simulation. The colors, violet, blue,

cyan, and green, correspond to the residues, Phe4, Tyr10, Phe19, and Phe20, respectively.

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II.3.3 Hydrogen-Bond Interaction of Aβ40 Peptides

To identify specific lipid-Aβ interactions, H-bonds between Aβ40 and GM1

ganglioside were monitored for the 100 ns MD simulation for all the five trials (Fig. 9). The

amino groups of Arg5, His14, and Lys16 showed a high number of H-bonds. The main-chain

atoms of Leu34 also showed a large number of H-bonds. Glu11, Lys16, and Leu34 were

observed to be involved in the H-bond formation with lipid membrane in every trial, while no

H-bond was observed for the two residues; Phe4 and Val18. The numbers of H-bonds

observed during the 100 ns simulations were examined again for the respective residues of

Aβ40, with separating into the counterparts of GM1 head group, NEU and GAL shown in Fig.

10. Both NEU and GAL were shown to be possible counterparts of H-bonds of Aβ40. In

average, Neu5Ac had the highest number of H-bonds among the residues of GM1 head

groups. The motion of Aβ40 in the simulation (Fig. 5) was consistently reflected in the change

of H-bond numbers (Fig. 10).

Figure 9: Accumulative number of H-bonds of 100 ns MD simulation for 5 trials, separately counted

for the respective residues of Aβ40. For each trial, atom coordinate was extracted every 1 ns and totally

100 snapshot structures were used for the analysis. Number of H-bonds was the sum of the counts for

all the five trials. Number contains the H-bonds involved in both main-chain and side-chain atoms of

each residue.

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Figure 10: Number of H-bonds between each residue of Aβ40 and NEU and/or GAL groups of GM1

for five trails. For each trial, atom coordinate was extracted every 1 ns and totally 100 snapshot

structures were used for the analysis.

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To examine the deep insertion of Aβ40 on membrane surface, H-bonds of Aβ40 with

SM were monitored (Fig. 11). The H-bonds between Aβ40 and SM were observed only in two

trials, 1 and 3. That is, the H-bond formation to SM was not observed in trials 2, 4, and 5. Fig.

11 shows the number of H-bonds from the residues responsible for the interaction with SM in

trials 1 and 3. Lys28, Ala30, Ile31, Ile32, Gly38, Val39, and Val40 in trial 1 and Arg5, His13,

and Leu17 in trial 3 were orientated towards the hydrophobic core of the membrane, which

resulted in the H-bond

Figure 11: Analysis on the H-bonds between Aβ40 and SM. Occupancy represents the time percentage

for meeting the H-bond criteria in the 100 ns MD simulation.

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formation with SM for 25 – 33 ns in trial 1 and 27 – 31 ns and 76 – 81 ns in trial3. In trial 1,

the highest number of H-bonds was observed at 29 ns and in trial 3 the highest number of H-

bonds was observed at 78 ns. This deep insertion of Aβ40 will be a potential cause for the

disorder of the membrane by increasing the bilayer curvature. A typical structure on the deep

insertion of Aβ40 was shown in Fig. 12.

Figure 12: Atomic geometry of Aβ-bound membrane surface at the moment when Aβ40 was deeply

inserted in the lipid membrane. Some residues of Aβ40 was observed to form H-bond with SM. The

snapshot structure was extracted at the time point of 28 ns in trial 1. (a) Side view of the Aβ40 -bound

membrane. (b) Magnified view at the contact area between Aβ40 and SM. A yellow broken line

represent a H-bond between C-terminus of Aβ40 and SM.

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It is notable that Aβ peptide was occasionally deeply inserted into the head group region

of the lipid membrane in two trials: 1 and 3. In trial 1, seven residues, Lys28, Ala30, Ile31,

Ile32, Gly38, Val39, and Val40, were interacted with the deep inside of membrane surface. In

trial 3, Arg5, His13, and Leu17 were interacted with the lipid membrane and made H-bonds

with SM (Fig. 11).

II.3.4 Binding Free Energy of Aβ40 Peptide to lipid Membrane

The binding free energy between Aβ40 and lipid membrane was calculated by the

MM/GBSA method in pbsa module of AMBER11. The energy gain was observed for four

trials in the 100 ns MD simulation (Fig. 13). The binding free energies between Aβ40 and

lipid membrane was gradually lowered in all five trials except for trial 2. The energy gain was

moderate in trial 1 and the peak energy was -148 kcal/mol at 44 ns. In trial 2, a decrease in

energy was observed for 25 – 46 ns because Aβ interacted with lipid membrane. After 46 ns,

Aβ was detached from the membrane and, therefore, the energy was elevated and almost zero

after 50 ns. In trial 3, a large stabilization was observed and the peak ∆Gb was

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Figure 13: Change of the binding free energy between a single Aβ40 peptide and lipid membrane for

the 100 ns MD simulation.

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-223 kcal/mol at 75 ns. Trial 4 gave the largest energy reduction among all the trials at the

final time point. The peak ∆Gb was -199 kcal/mol at 94 ns. In trial 5, the energy was

decreased after 27 ns and the peak ∆Gb was -131 kcal/mol at 61 ns.

II.3.5 Conformation of Aβ40 Peptide

Conformational transformation of the secondary structure of Aβ40 due to the

interaction with the lipid membrane was examined for the 100 ns MD simulation (Fig. 14).

The secondary structure was calculated by DSSP program. One of the secondary structures

among coil (no secondary structure), bend, turn, π-helix, α-helix, 310-helix, β-bridge, β-sheet

was assigned to every residue of Aβ peptide for every snapshot structure in the trajectory of

100 ns MD simulation in DSSP plot of Fig. 14. The most popular secondary structure of Aβ40

was bend and the secondly most popular structure was coil (Fig. 14). When Aβ40 interacted

with the lipid membrane, a slight increase of bend and helix was observed. The N-terminal

and C-terminal residues, Asp1, Ala2, Val39, and Val40, showed no secondary structure. Val12

and Asp23 were also likely to have no secondary structure. A stable β-bridge was established

between Ile32 and Val36 in trial 3 and observed for most of the period in simulation. α-helix

structure was almost limited to the region from residues 13 to 22, and π-helix was temporarily

observed at the region for 55 - 65 ns in trial 2. α-helix also temporarily appeared at the N-

terminal region from residues 6 to 9 in trials 2 and 5.

Cluster analysis provides the information on the conformational diversity in the

motion of protein peptide. The dendrograms by cluster analysis in Fig. 15 showed more

cluster groups for Aβ40 than that for Aβ42. Aβ40 structural transformations in the MD

simulation were distinguished into seven groups, while those of Aβ42 were into three when

structures were classified at a height of 12Å in the hierarchical dendrogram. This implies that

Aβ40 shows a diverse structural transformation compared to Aβ42 and the rate for

conformational change of Aβ40 is higher than that of Aβ42.

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Figure 14: Change of the secondary structure of Aβ40 peptide during the 100 ns MD simulation. The

310-helix, α-helix, π-helix, β-bridge, β-sheet, turn, and bend structures are represented by brick, red,

orange, light green, green, blue, and cyan, respectively. The white regions represent coil that is no

identifiable secondary structure. Snapshots were extracted from simulation trajectory every 1 ns and

the secondary structures were calculated for the respective snapshots using DSSP program.

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Figure 15: Dendrogram obtained by cluster analysis on the conformational diversity of Aβ40 and Aβ42.

Snapshot structures were collected every 10ns for five 100 ns MD simulation trials.

Aβ40

Aβ42

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II.4. Discussion

II.4.1 Insertion of Aβ40 into Lipid Membrane

With respect to Aβ pathogenicity, it is important to know which factor brings high

toxicity to neurons. It has been proposed that a major toxicity of Aβ is caused by oligomer

structures of Aβ. 74, 75 In a report on a small bacterial peptide, HypF-N, which is known to

form oligomers and amyloid-like fibrils, the presences of two types of oligomers were

detected by an atomic force microscopy observation,76 in which one type of oligomer was not

toxic but the other was highly toxic. The latter toxic oligomer was strongly interacted with

cellular membranes and was able to penetrate into cells. It was suggested that the toxicity of

the oligomer was a consequence of structural flexibility and hydrophobic property.77

Accordingly, Aβ peptide and its interaction with the mixed lipid membrane are of great

interest. In the present study, when a single Aβ40 was bound to lipid membrane, Aβ40 showed

a slight structural transformation. DSSP analysis in Table 1 indicated that Aβ40 contained a

significantly high ratio of coil and bend and, then, the helix content was relatively low, which

suggested the instability of Aβ40. In comparison to Aβ42, the helix content of Aβ42 was higher

than that of Aβ40 and the coil and bend contents of Aβ42 were relatively low. This means that

the rate for the structural transformation of Aβ40 is high compared to Aβ42 and Aβ40 is more

flexible than Aβ42. Therefore, considerably diverse conformational changes can be observed

in the MD simulations as shown in Fig. 15.

Cluster analysis provides the information on the conformational diversity in the

motion of protein peptide. The dendrograms by cluster analysis in Fig. 15 showed more

cluster groups for Aβ40 than that for Aβ42. Aβ40 structural transformations in the MD

simulation were distinguished into seven groups, while those of Aβ42 were into three when

structures were classified at a height of 12Å in the hierarchical dendrogram. This implies that

Aβ40 shows a diverse structural transformation compared to Aβ42 and the rate for

conformational change of Aβ40 is higher than that of Aβ42. Since the competition between the

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peptide-peptide H-bonds and the peptide-water H-bonds will be one of the factors for the

protein folding and/or flexible motion,78 the high content of coil and bend of Aβ40 is a reason

for the large structural diversity.

According to a solid-state NMR measurement,79 the stabilization by a salt bridge

between Lys28 and carboxyl group of C-terminus is a reason why a unique S-shaped β-sheet

motif is observed only for Aβ42 fibrils. Because the C-terminal side of Aβ40 is shorter than

that of Aβ42 by two residues, such a salt bridge structure is not stable for Aβ40. The NMR

study also suggested the presence of Gly29-Ile41 contact.79 Therefore, Aβ42 is likely to form

an extended β-sheet compared to Aβ40, which results in the decrease of transformation rate.

Since many residues of Aβ40 have no secondary structure, there are many main-chain NH and

CO groups not involved in the H-bonds inside the peptide. Hence, the peptide backbone of

Aβ40 is more flexible than that of Aβ42 and the chance for interacting with lipid membrane

becomes high. Aβ40 peptide can be separated into two parts, residues 1 - 28 and residues 29 –

40, in polarity. The C-terminal side of Aβ is highly hydrophobic due to many non-polar

residues. Therefore, the peptide backbone of C-terminal region with no secondary structure is

easy to access to the other molecule. Thus, the hydrophobic property and no secondary

structure of the C-terminus enhance Aβ40 to interact with lipid membrane. In contrast, N-

terminal region of residues 1 - 28 contains 9 polar residues. Six of them are negatively

charged and the positively charged basic residues are three. 80, 81 The MD simulation also

showed that the hydrophobic interaction played an important role as a driving force for

molecular interaction and C-terminal side was likely to have contact with hydrophobic

surface of lipids. An important observation of the present simulation study was that Aβ40 was

deeply inserted into the head group region of the lipid membrane as shown in Fig. 12. This

insertion was not observed in case of Aβ42 in our previous study. 67 This means that Aβ40 was

likely to have strong interaction with the inside of the membrane surface compared to Aβ42.

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Some study suggested a possibility of Aβ to create pore/channel for ions and reactive oxygen

species access to the inside of membrane and attack the non-polar lipid molecules.82

II.4.2 Interaction between Aβ Peptide and GM1-Ganglioside

In the present simulations, Aβ40 showed a steady interaction with lipid membrane.

Neu5Ac makes important contribution in Aβ binding to the membrane. In addition, GalNAc

also contributes through the pyranosyl ring of GAL. GAL has two chemically distinctive

faces: one is non-polar face with CH groups and the other is polar face with OH groups. The

non-polar side of GAL acts as a complimentary block for making a contact with non-polar or

aromatic residues of protein.83 Indeed, both hydrophobic interaction and aromatic interaction

are deeply involved in protein folding and molecular recognition.84 Four aromatic residues,

Phe4, Tyr10, Phe19, and Phe20, have chances for the CH−π and/or OH−π interaction with

GM1 oligosaccharide. Hence, the distances from the aromatic rings of Phe4, Tyr10, Phe19,

and Phe20 to the closest heavy atom of GM1 head groups were monitored during the 100 ns

MD simulation (Fig. 8). Arunan and Gutowsky reported that the equilibration distance

between two mass-centers of a gas-phase benzene dimer was 4.96 Å 85. This value is close to

5.05 Å that is the average distance between two phenyl rings interesting with each other in

proteins.86 An NMR observation suggested that GAL was also approached aromatic ring to

produce the CH−π interaction 87 and a theoretical calculation with benzene and β-fucose

indicated that the intermolecular C-C distances were in a range of 3.89 Å - 5.04 Å.86 Hence,

5.04 Å is assumed to be a criteria distance for judging the formation of aromatic interaction

with GM1 in our present study. Among four residues, Phe20 showed the CH−π interaction

with GM1 most frequently. The rates of CH−π interactions with Phe4 and Tyr10 were low

compared to Phe19 and Phe20 (Fig. 8). These two residues, Phe4 and Tyr10, are located at

the hydrophilic region and the secondary structure was coil or bend for most of the period in

simulation, while the secondary structures of Phe19 and Phe20 were mainly α-helix (Fig. 14).

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Because the α-helix is more stable than coil, the rate for movement and/or conformational

change are low and these two residues are likely to keep the interaction with membrane.

Hydrophobic interaction will play a primary role for Aβ adhesion and the CH−π and/or OH−π

interaction can support the Aβ binding to the membrane surface.

Among all the computational trials, the lowest energy was observed at 75 ns in trial 3,

and the value was -223.1 kcal/mol (Fig. 13). At that moment, the number of H-bonds of Aβ

showed a peak during MD simulation; 14. The α-helix content in the secondary structure was

relatively high and β-bridge was also observed at this moment.

II.4.3 H-bonds between Aβ40 and Membrane

Although there was no critically predominant residue of Aβ for making the initial

contact with the lipid membrane, two residues were observed to play critical roles in Aβ40

adhesion. In the sum of H-bonds found in all the five trials, His14 and Leu34 gave the highest

numbers of H-bonds to GM1. The change of the number of H-bonds along the 100 ns MD

simulation shown in Fig. 9 both for His14 and Leu34. The H-bond in Fig. 9 suggested that,

once His14 was bound to the membrane, Aβ peptide was unlikely to be detached from the

membrane surface. In the initial stage of interaction between Aβ and membrane, His14 works

as both hydrogen-donor and -acceptor due to N and NH atoms of its imidazole ring in the

side-chain. In the neighborhood of His14, there is a positively charged residue; Lys16, which

plays as an anchor to the membrane as well as His14. After a while, Leu34 established a

strong interaction with GM1. Contribution of Leu34 was obvious in the latter half of 100 ns

MD simulations. N and O atoms in main-chain enable Leu34 to form two H-bonds with GM1

even though Leu34 is positioned in the hydrophobic region of Aβ.

Glu11, Lys16, and Leu34 were only the residues of which the formation of H-bonds

with GM1 was observed in all the five trials. This result indicated that Glu11, Lys16, and

Leu34 play important roles to attach Aβ to membrane surface as well as His14. The residues,

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Ile31, Val39, and Val40 in trial 1 and His13 and Leu17 in trial 3, were observed to form H-

bonds with SM with a certain degree of frequency. In the sum of five trials, Leu34 showed

the largest number of H-bonds. NEU formed more H-bonds than GAL with Aβ40. The H-bond

analysis suggested that most of the residues involved in the H-bond at the N-terminal side

formed the H-bonds via side-chain but most of the H-bonds at the C-terminal side were with

main-chain atoms. It is interesting to note that Phe4 and Val8 were observed to have no H-

bond with membrane in all the five trials.

II.4.4 Secondary Structure of Aβ40

Our simulation provided the information on the conformational transformation of

secondary structures of Aβ40 due to interaction with lipid membrane (Fig. 14). This secondary

structure change will reflect the flexibility of the respective residues of Aβ. Asp1, Ala2, Val12,

Asp23, Val39 and Val40 showed no secondary structure in most of the simulation period and

the probability for conversion into other conformation was low. Those residues could not

keep stable secondary structure and are closely related to fluctuation of Aβ peptide. A

solution NMR spectroscopy and circular dichroism demonstrated that the membrane with a

specific lipid composition enhanced the conversion of soluble monomeric Aβ conformation

into helix-rich one.88 A decrease in α-helical content was observed in trial 2, when Aβ was

detached from lipid membrane after 50ns. Namely, a part of the α-helix region from residues

12 to 24 caused a conformational change to coil or bend, and the region also temporarily

converted into π-helix, when Aβ40 peptide was not bound to the lipid membrane (Fig. 14).

II.4.5 Comparison with the Findings from the Previous Studies

A recently in vivo study reported that soluble Aβ oligomers from brain interstitial fluid

were bound to GM1 ganglioside on cellular membranes.89 Some experimental studies

suggested that the Aβ peptide was bound to the GM1/SM/Chol mixed membrane with a α-

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helix-rich conformation when the molar ratio of Aβ to GM1 was low, but when the ratio was

high, β-strand-rich conformation became dominant.65 In our previous study, 67 MD

simulations were performed for GM1-containing membrane with a single Aβ42. The

calculation model for the lipid membrane was the same as the present calculation. In the

simulations with a single Aβ40, the helix-poor region of Aβ40 became straight compared with

Aβ42 as observed in every trial. This is one of the possible reasons for deep insertion of Aβ40

to the membrane surface. The appearance frequency of the secondary structures in Table 1

showed much higher rates for π-helix (20%) and α-helix (33%) for Aβ42 than those for Aβ40.

Aβ40, rather, showed a high content for coil, compared to Aβ42. The secondary structure

analysis (Fig. 14) and the cluster analysis (Fig. 15) showed that Aβ40 had more diverse

structural transformations than Aβ42 when they were bound to lipid membrane. If the coil

content in the secondary structure is increased, Aβ40 is likely to fluctuate and the freedom of

peptide conformation is increased, which results in an increase of the reactivity of Aβ with

lipid membrane.

Table1: Ratio of secondary structures of single Aβ40 and Aβ42 observed in the simulations.*1 The

ratio was presented by the percentage of each secondary structure in the sum of all the snapshot struc-

tures acquired every 1 ns from MD trajectories of all the computational trials. *2 Coil denotes no sec-

ondary structure.

secondary structure Aβ40 (%) Aβ42 (%)

α-helix 17.0 32.6

π-helix 0.4 19.9

310-helix 0.2 0.1

β-bridge 1.0 0.5

strand 0.1 0.0

turn 7.6 6.8

bend 33.9 14.7

coil *2 39.8 25.4

total 100 100

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The α-helix content of Aβ42 is larger than that of Aβ40 and then the structure of Aβ42 is

more stable than Aβ40. This means that Aβ40 relatively shows dynamic movement,

compared to Aβ42.Hence, Aβ40 will be effectively interacted with the deep inside of the

membrane surface and are able to make H-bonds with SM that was not observed in Aβ42. β-

bridge structure was observed for single Aβ40 as well as Aβ42 (Fig. 14). β-bridge

conformation appeared at the C-terminal region, which is compatible with the recent NMR

analysis for Aβ fibrils.79

II.5 Conclusion

The following findings were obtained from the MD simulations of single Aβ40 peptide

interacting with GM1 ganglioside-containing lipid membrane. Both the hydrophobicity of the

C-terminal side and the aromatic rings at the N-terminal side of Aβ40 was important for the

interaction with lipid membrane. His14 and Leu34 showed the highest number of H-bonds

with GM1 among the residues. Many H-bonds from His14 to lipid membrane were observed

in the early stage of Aβ40 adhesion, while Leu34 established a strong connection to the

membrane in the latter half of 100 ns simulation. NEU had large number of H-bonds with

Aβ40 among the head groups of lipid membrane. Four residues, Phe4, Tyr10, Phe19, and

Phe20, of Aβ40 were related to the aromatic interactions. Phe20 was most likely to form the

CH-π and/or OH-π interactions with GM1. An important feature of our computational study

is that Aβ40 showed more diverse structural transformation than Aβ42. This feature on the

conformational flexibility enabled Aβ40 to be inserted into the space not occupied by head

groups of lipids on membrane surface. When Aβ40 is attached to the lipid surface, Aβ40 is

possible to move into the lipid membrane deeply and make H-bonds with SM. His13, Leu17,

Ile31, Val39, and Val40, were closely related to this insertion of Aβ40 and the formation of H-

bonds with SM.

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Chapter III

A Unique Conformation and Aggregation of Aβ42 Peptides on GM1

Ganglioside-Containing Lipid Membrane

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III.1. Introduction

The abnormal deposition and aggregation of Aβ peptides on brain tissues are

considered to be one of the characteristic neuropathological features of AD.90,91 AD is a

progressive cognitive deterioration and one of the most widespread forms of dementia.23

Aggregation and resultant transformation of Aβ into insoluble misfolding protein is a

pathological hallmark of neurodegeneration diseases in brain.92 The most commonly

observed forms of toxic Aβs is comprised of 40 and/or 42 residues. Both of them show an

affinity to lipid membrane, but Aβ42 (a.a. 1−42) was more likely to form amyloid fibrils.47

This high tendency of Aβ42 to aggregation will be related to two additional hydrophobic

amino acids at its C-terminal end.93 According to an in vivo study,89 soluble Aβ oligomers

were sequestered from brain interstitial fluid onto brain membranes more rapidly compared to

non-toxic monomers and strongly bound to GM1-ganglioside on cellular membranes. GM1 is

likely to form a cluster on the membrane containing GM1, SM, and Chol. GM1 cluster has

hydrophobic surface and negatively charged area due to the condensation of glycan,

especially GAL and sialic acid. Many in vitro studies indicated an acceleration of Aβ

aggregation on the lipid micro-domains including GM1, SM, and Chol. 43,53,65,94,95 Further, the

formation of the GM1 cluster was suggested to be cholesterol-dependent.54 It was

demonstrated by Matsuzaki and his co-workers that the GM1-including membrane not only

enhanced the aggregation of Aβ but also converted amyloid structure to form toxic fibrils that

showed high hydrophobicity and contained antiparallel β-sheets.56

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III.2. Method

III.2.1 Construction of Computational Models

Two types of computational models, four or five Aβ42 peptides incorporated ones, were

used in this study. The Construction of Computational models was almost the same as that in

our previous works (Chapter I), For initial atom coordinates of Aβ42 placed in the water layer

were extracted from one of the conformations which had been determined by solution NMR

spectroscopy (PDB code: 1Z0Q, 11th structure). The reason for selecting this conformation

was described elsewhere.67

III.2.2 Calculation Condition of MD Simulation

The calculation procedure was almost the same as that in our previous works (Chapter II).

III.2.3 Analysis of MD Simulations

The Analysis of MD Simulations was almost the same as that in our previous works

(Chapter II). For analyzing the parallel and/or anti-parallel contact of helix parts of Aβ

peptides, the unit vector along the axis of Aβ helix was calculated using Chimera.36 In the

cluster analysis to examine the conformational diversity of Aβ42, the coordinates of main-

chain atoms were extracted from the snapshot structures acquired every 100 ns from MD

trajectory. The average main-chain coordinate was calculated from the extracted coordinates.

Then, each extracted coordinate was fitted to the average one and the root-mean-square

deviation (RMSD) was calculated. Based on the RMSD matrix, the structures are classified

into groups by performing cluster analysis with the nearest neighboring method.73

III.3 Results

III.3.1 Motion of Aβs Molecules

The dynamic movements of Aβ42 peptides on the GM1/SM/Chol mixed membrane were

monitored during the 1000 ns MD simulation. The snapshot structures extracted every 100 ns

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from the 1000 ns for two models incorporating four (trial I) in Fig. 16, and Change of z-axis

of four Aβ42 peptides during the 1000 ns MD simulation are display in Fig. 17. Five Aβs

model (trial II) in Fig. 18, and Change of z-axis of four Aβ42 peptides during the 1000 ns MD

simulation are display in Fig. 19, to investigate the action of Aβs on GM1-ganglionic-

containing lipid membrane.

III.3.2 Simulation Trial I with Four Aβ Peptides

The starting molecular geometry for Four Aβ was settled by referring the final structure

of our previous MD simulation with three Aβs model. 105 Hence, three Aβ42 peptides were

already bound to the membrane surface (Fig. 16). Another Aβ42 peptide, the fourth Aβ

labelled as Aβ4, was put into the water layer of the model system. Aβ4 initially fluctuated in

the water layer and then began to interact with the C-terminal side of one of the three Aβs

labelled as Aβ3. This interaction kept Aβ4 in the vicinity of the membrane for a long time.

Afterward, Aβ4 established a contact with the membrane at 200 ns.

According to the change in z-axis of the uppermost and lower most atoms of Aβ3 in Fig.

17, the principle molecular axis of Aβ3 was changed from parallel to vertical to the

membrane surface at 100 ns and the N-terminal side was exposed to water. Another Aβ was

bound to the same side of the membrane as Aβ3, which was labelled as Aβ2. The principal

molecular axis of Aβ2 was almost parallel to the membrane surface through the simulation

and the upper most atom was considerably close to the membrane after 400 ns. The last Aβ,

Aβ1, was singly attached to the opposite leaflet of the membrane. Aβ1 slowly migrated on the

membrane surface during MD simulation. The z-axis showed that except Aβ4, all peptides

had connection with lipid membrane.

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Figure 16: Motion of Aβ42 peptides during the simulation with the four Aβs-incorporated model. The

first, second, third and fourth Aβ peptides are depicted in red, yellow, green and blue, respectively.

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Figure 17: Change of z-axis of four Aβ42 peptides during the 1000 ns MD simulation. The center of

mass of Aβ peptides is represented by blue line. The positions of the uppermost and lowermost atoms

of the Aβ peptide are indicated by pink and dark blue lines. The center of mass of GM1 head groups is

represented by red and/or green lines for the upper and lower leaflets, respectively.

III.3.3 Simulation Trial II with Five Aβ Peptides

In the five Aβs-incorporated model, the starting structure was built from the snapshot at

100 ns of MD simulation with the four Aβs model, in which the fifth Aβ was put into the

water layer. As shown in Fig. 18, Aβ5 initially made a weak interaction with Aβ4, but the

connection was soon broken and Aβ5 moved to the same leaflet as Aβ1.

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Figure 18: Motion of Aβ42 peptides during the simulation with the five Aβs-incorporated model. The

first, second, third, fourth and fifth Aβ peptides are depicted in red, yellow, green, blue and grey, re-

spectively.

The connection of Aβ5 with the membrane was weak and the z-axis distance of Aβ5

from the membrane surface was increased after 300 ns (Fig. 19). Aβ5 was not bound to the

membrane around 750-950 ns, but the connection with Aβ1 was maintained. Aβ1 was firmly

bound to the membrane and a steady contact of Aβ5 to Aβ1 was kept after 50 ns. The

principal molecular axis of Aβ1 was parallel to the membrane surface and kept Aβ5 in the

vicinity of the membrane through the MD simulation. Other three Aβs were bound to the

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opposite leaflet. Aβ4 made a complex with Aβ2 and Aβ3. The complex of the three Aβs was

stable and no one was detached from the complex through the simulation. Aβ2 and Aβ3 also

maintained close contact with the membrane, but Aβ4 scarcely interacted with membrane and

no direct contact with the membrane was observed during the simulation (Fig. 19). Aβ4 were

changed ceaselessly during the simulation. The z-axis showed that except Aβ4, all peptides

had connection with lipid membrane.

Figure 19: Change of z-axis of five Aβ42 peptides during the 1000 ns MD simulation. See

also the caption of Fig. 17 for line colors.

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III.3.4 Interaction of Aromatic Residues

There are four aromatic residues, Phe4, Tyr10, Phe19, and Phe20, at the N-terminal side

of Aβ42. The interaction of these four aromatic residues with GM1 head groups was

monitored for the two models (Figs. 20 and 21). In each simulation, several aromatic rings

were within the distance possible for CH−π and/or OH−π interaction with GM1.

In the four Aβs model, Tyr10 of Aβ1 was only a residue within the distance for

interaction. For Aβ2, almost all aromatic rings were within the distance through the 1000 ns

simulation. For Aβ3, the interaction between aromatic rings and lipid membrane was broken

after 100 ns. Phe19 and Phe20 were occasionally close to the membrane. For Aβ4, only Tyr10

was observed within the distance after 810 ns.

In the five Aβs model, Tyr10 of Aβ1 was only a residue within the distance for most of

the simulation time. For Aβ2, Phe19 and Phe20 were almost within the distance during

simulation. For Aβ3, Tyr10 was within the distance for interaction until 235 ns, but was apart

from GM1 after 240 ns. Phe4 temporarily became close to GM1 for 810 – 890 ns. For Aβ4,

the interaction was hardly observed. For Aβ5, Phe20 was stably kept within the distance for

160 – 610 ns and after that the aromatic rings were apart from the membrane. These results

suggest that the CH−π and/or OH−π interactions of aromatic residues are not always

necessary for the Aβ binding to the membrane.

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Figure 20: Changes of the distances between the center of the aromatic rings of 4 residues of Aβ pep-

tide and the closest atom of GM1 head groups during the 1000 ns MD simulation for the four Aβs-

incorporated model. The colors; violet, blue, cyan and green, correspond to the residues, Phe4, Tyr10,

Phe19, and Phe20, respectively.

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Figure 21: Changes of the distances between the center of the aromatic rings of 4 residues of Aβ pep-

tide and the closest atom of GM1 head groups during the 1000 ns MD simulation for the five Aβs-

incorporated model. The colors; violet, blue, cyan and green, correspond to the residues, Phe4, Tyr10,

Phe19, and Phe20, respectively.

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III.3.5 Hydrogen-Bond Interaction of Aβ Peptides

The number of H-bonds between Aβs and GM1 oligosaccharides were calculated. In the

four Aβs model, the summed up over all the Aβs through the simulation for four Aβs model

shown Fig. 22(a). The total number of H-bonds from NEU, GAL of GM1 were also

separately counted for four Aβs (Fig. 22 (b)). In the four Aβs model, H-bonds were broadly

distributed over N-terminal, center and C-terminal regions for all the Aβs (Fig. 23). The

domain with the highest number of H-bonds was different among Aβs (Fig. 23). In the four

Aβs model, sum of H-bonds from the five Aβs, Arg5 showed the highest number among the

residues (Fig. 22(a)). No H-bond was observed for Phe19, Phe20 and Val24. Both NEU and

GAL had H-bonds with Aβ. NEU had larger number of H-bonds than GAL (Fig. 22 (b)).

In the five Aβs model, the summed up over all the Aβs through the simulation for five

Aβs model shown Fig. 24(a). In total, Arg5 had the highest number of H-bonds among the

residues (Fig. 24(a)). No H-bond was observed for Gly9, Val12, Leu17, Val18, Phe19, Phe20,

Ala21 and Val24. In the five Aβs model, H-bonds were broadly distributed over N-terminal,

center and C-terminal regions for all the Aβs. Both NEU and GAL were involved in H-bonds,

while NEU had larger number of H-bonds than GAL (Fig. 24(b)). The total number of H-

bonds from NEU, GAL of GM1 were also separately counted for four Aβs (Fig. 25).

Figure 22: (a) Total number of H-bonds for the 1000 ns MD simulation, summed up for all the four

Aβs. (b) Sum of the H-bonds involved in NEU and GAL head groups of lipid membrane. Numbers

contain the H-bonds both from the main- and side-chains of Aβ residues.

(a) (b)

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Figure 23: Accumulative number of H-bonds for the 1000 ns MD simulation for the four Aβs-

incorporated model, separately counted for the respective residues of Aβ42. Snapshot structures were

extracted every 1 ns and totally 1000 snapshot structures were used for the analysis.

(a) Aβ1

(b) Aβ2

Aβ2

(c) Aβ3

(d) Aβ4

A4

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In the five Aβs model, the dominant region for H-bonds was different among Aβs. For

Aβ1, H-bonds were present at the N-terminal and C-terminal regions and no H-bond was

observed at the center part of Aβ. His13 showed the highest number. For Aβ2, Arg5 had large

numbers of H-bonds. Aβ3 made a contact with GM1 at the center part and Lys28 had the

highest number of H-bonds both for main- and side-chains. The number of H-bonds of Aβ4

was very low (Fig. 25). Most of H-bonds of Aβ5 were located at the C-terminal side and, for

main-chain, Leu34 had the highest number. In total, Arg5 had the highest number of H-bonds

among the residues (Fig. 24(a)). No H-bond was observed for Gly9, Val12, Leu17, Vale18,

Phe19, Phe20, Ala21 and VaL24 (Fig. 24(a)). Both NEU and GAL were involved in H-bonds,

while GLC had no H-bond (Fig. 24(b)).

Figure 24: (a) Total number of H-bonds for the 1000 ns MD simulation, summed up for all the five

Aβs. (b) Sum of the H-bonds involved in NEU and GAL head groups of lipid membrane. Numbers

contain the H-bonds both from the main- and side-chains of Aβ residues

(a) (b)

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Figure 25: Accumulative number of H-bonds for the 1000 ns MD simulation for the five Aβs-

incorporated model, separately counted for the respective residues of Aβ42. See also the caption of Fig.

23.

(c) Aβ3

A2

(b) Aβ2

A2

(e) Aβ5

(a) Aβ1

A2

(d) Aβ4

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III.3.6 Hydrogen-Bond Interaction between Aβ Peptides

The numbers of H-bonds among Aβs were monitored and counted for the respective

amino acid residues (Figs. 26 and 27).

In the four Aβs model, Aβ1 was singly bound to one leaflet and then impossible to make

H-bonds with other Aβs. Aβ2, Aβ3, and Aβ4 were located on the same side and many H-

bonds were formed among them. The number of H-bonds between Aβ2 and Aβ3 was low.

Ala42 of Aβ2 and Lys16 of Aβ3 showed a stable H-bond. In the interaction between Aβ2 and

Aβ4, Leu34 of Aβ2 and Val39 of Aβ4 showed a stable H-bond. In the interaction between

Aβ3 and Aβ4, Lys28 of Aβ3 and Glu11 of Aβ4 had the highest number of H-bonds (Fig. 26).

In the five Aβs model, Aβ1 was possible to interact with Aβ5, while Aβ2, Aβ3 and Aβ4

were located on the opposite leaflet. Ala42 of Aβ1 and Gln15 of Aβ5 largely contributed to

the H-bonding. In the interaction between Aβ2 and Aβ3, Gly37 of Aβ2 and Ile31 of Aβ3 had

the highest numbers of H-bonds. Many H-bonds were observed in the Aβ2-Aβ4 interaction

and Glu22 of Aβ2 and Arg5 of Aβ4 had the highest number of H-bonds. Lys28 of Aβ4 also

made H-bonds via its side-chain. The Aβ3-Aβ4 interaction showed a few number of H-bonds.

The contributions from Lys28 of Aβ3 and Met35 of Aβ4 were large (Fig. 27).

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Figure 26: Accumulative number of H-bonds between two Aβ peptides for the 1000 ns MD simula-

tion for the four Aβs-incorporated model. H-bonds were separately counted for the respective residues.

Snapshot structures were extracted every 1 ns and totally 1000 structures were used for the analysis.

(b’)Aβ4-Aβ2 (b)Aβ2-Aβ4

(c’)Aβ4-Aβ3 (c)Aβ3-Aβ4

(a’)Aβ3-Aβ2 (a)Aβ2-Aβ3

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Figure 27: Accumulative number of H-bonds between two Aβ peptides for the 1000 ns MD simula-

tion for the five Aβs-incorporated model. H-bonds were separately counted for the respective residues.

Snapshot structures were extracted every 1 ns and totally 1000 structures were used for the analysis.

(c’)Aβ4-Aβ2

(b’)Aβ3-Aβ2

(d)Aβ3-Aβ4

(a’)Aβ5-Aβ1 (a)Aβ1-Aβ5

(d’)Aβ4-Aβ3

(c)Aβ2-Aβ4

(b)Aβ2-Aβ3

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III.3.7 Secondary Structure and Conformational Diversity of Aβ Peptides.

The conformational transformation of Aβs were monitored in terms of secondary

structure (Figs. 28 and 29). The secondary structures of the respective residues of Aβ were

examined for every ns snapshot structure in the trajectory of 1000 ns MD simulation and

assigned to one of structures of coil (no secondary structure), bend, turn, π-helix, α-helix, 310-

helix, β-bridge, β-sheet by DSSP program.

In trial 1, four Aβs model as shown in Fig. 28, the most popular structure of four Aβs was

helix, which was almost limited to the residues 1-22. Coil and bend were commonly observed

for the residues 29-42. It is notable that β-sheet structure temporarily appeared at the C-

terminal region in all the four Aβs. In Aβ1, β-sheet transiently appeared at around 200 ns for

Ala30, Val36 and Val39. A part of the α-helix of Aβ1 was changed to π-helix between 200 –

694 ns. In Aβ2, β-sheet appeared for Val39 for a long time. In Aβ3, β-sheet temporarily

appeared for Ala30, Ile32 and Gly37. Most part of the α-helix domain of was converted to π-

helix when its N-terminal side was exposed to water layer after 170 ns. In Aβ4, β-sheet stably

appeared for Val39. The helix of Aβ4 covered the residues 1-28 but Asp7 and His14 were

likely to be coil or bend (Fig. 28).

In the five Aβs model, α-helix was also the most major secondary structure of Aβs. The

N-terminal side of Aβ1 showed bend and coil. Aβ2 showed a large content of α-helix and the

coil residues in the C-terminal region were transformed into β-sheet especially for Ala30,

Gly33 and Met35. In Aβ3, the residues 1-8 showed coil and bend and β-sheet was

temporarily observed for Ala2, Ala30 and Gly37. In Aβ4, Asp7, Ser8 and His14 showed coil

or bend in the α-helix domain. Ala30, Gly33 and Met35 sometimes showed β-sheet. In Aβ5,

coil and bend appeared at Asp7, Ser8 and His13 in the α-helix domain. Aβ5 showed β-sheet

among the residues of Ala30, Ile32, Val36 and Gly37 (Fig. 29).

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Figure 28: Change of the secondary structure of four Aβs peptide during the 1000 ns MD simulation.

The 310-helix, α-helix, π-helix, β-sheet, β-bridge, turn, and bend structures are represented by brick,

red, orange, light green, green, blue, and cyan, respectively. The white regions represent coil that is no

identifiable secondary structure. Snapshots were extracted from simulation trajectory every 1 ns and

the secondary structures were calculated for the respective snapshots using DSSP program.

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Figure 29: Change of the secondary structure of five Aβs peptide during the 1000 ns MD simulation.

See also the caption of Fig. 28.

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III.3.8 Binding Free Energy between Aβs and Lipid Membrane

The binding free energy between Aβs and lipid membrane was computed for the two

models (Figs. 30 and 31). The changes in binding free energies of Aβs reflected the motions

of Aβs.

In the four Aβs model, Aβ1 was singly located on one leaflet and the energy was widely

changed due to the Aβ1 movement on the membrane. After 750 ns, the energy largely

dropped below -500 kcal/mol. The energy change of Aβ2 was moderate. Aβ3 showed high

free energy level compared to other Aβs due to the weak contact with lipid membrane. The

energy was not significantly changed through the simulation. Aβ4 showed a sudden energy

change due to the steady contact with the membrane and the energy was gradually lowered

with the progress of simulation after 200 ns (Fig. 30).

In the five Aβs model, the binding free energy between Aβ1 and lipid membrane was

widely changed and the lowest energy peak was about -600 kcal/mol at 483 ns. The binding

energy of Aβ2 was also widely changed and the lowest energy peak was -650 kcal/mol at 407

ns. The energy change of Aβ3 was small and the free energy level was moderate. In Aβ4, the

energy fluctuation was slight and the energy level was the highest among all the five Aβs

because of the poor interaction of Aβ4 with lipid membrane. Aβ5 marked the lowest peak at

200 ns and the energy fluctuation was observed after the peak (Fig. 31)

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Figure 30: Change of the binding free energy of each Aβ to the lipid membrane during the

1000 ns MD simulation for the four Aβs-incorporated model.

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Figure 31: Change of the binding free energy of each Aβ to the lipid membrane during the 1000 ns

MD simulation for the five Aβs-incorporated model.

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III.3.9 Binding Free Energy between Every Two Aβs

The binding free energy between every two Aβs were calculated to examine which pair

of Aβs is energetically favorable for two models (Figs. 32 and 33). Since Aβ1 was singly

bound to one leaflet in the four Aβs model, Aβ1 had no interaction with the other Aβs.

Other three Aβs; Aβ2, Aβ3 and Aβ4, made contacts among them. However, the free energy

levels of Aβ2-Aβ3, Aβ2-Aβ4, and Aβ3-Aβ4, were not so large compared to the binding free

energy between Aβ and membrane. A rapid fluctuation in energy was observed for every

combination of three Aβs (Fig. 32). Only the Aβ2- Aβ4 interaction showed a noticeable

energy gain.

Figure 32: Change of the binding free energy between two Aβs during the 1000 ns MD simu-

lation for the four Aβs-incorporated model.

In the five Aβs model, Aβ1 and Aβ5 were on the same leaflet. The energy fluctuated

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ceaselessly and the free energy gain was 20 kcal/mol at most. Aβ2, Aβ3 and Aβ4 were on the

opposite leaflet. The energy between Aβ2-Aβ3 showed an energy drop after 700 ns. Aβ2-Aβ4

showed a remarkable stabilization after 280 ns and the binding energy decreased to -60

kcal/mol. The stability continued until the end of MD simulation. The energy gain between

Aβ3-Aβ4 was low and the energy fluctuation was small (Fig. 33).

Figure 33: Change of the binding free energy between two Aβs during the 1000 ns MD simulation for

the four Aβs-incorporated model.

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III.3.10 Cluster Dendrogram Aβs Structure:

Every 100 ns Aβs snapshot structures were collected from the 1000 ns simulation for

cluster analysis. Dendrograms were obtained both for the four and five Aβs models, based on

the RMSD distances among the snapshot structures (Figs 34 and 35).

In the four Aβs model, snapshot structures of Aβs were separated into three groups by cluster

analysis at a height of 10.2 Å. Structural differences among Aβ2 structures were low, which

suggested that conformational change was little for Aβ2. Aβ4 structures were distributed

three cluster groups, which reflected the large structural transformation.

Figure 34: (a) Superposition of the respective Aβ structures extracted every 100 ns from the 1000 ns

trajectory. (b) Dendrogram obtained by the cluster analysis on the conformations of four Aβs.

(a)

Aβ1

Aβ2

Aβ3

Aβ4

(b)

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In the five Aβs model, snapshot structures were separated into eleven groups and five of

them were single-membered cluster. All the structures of Aβ2 were assigned into one cluster

group, which means that the motion of Aβ2 was small in simulation. Structural difference

among snapshots of Aβ4 after 300 ns was little, which suggested that Aβ4 had a stable

conformation after 300 ns. Aβ5 structures were distributed over three groups. Aβ4 in the four

Aβs model and Aβ5 in the five Aβs model showed high conformational diversity because

both were initially set in the water layer in simulation. The adhesion onto membrane surface

imposed the restriction on the motion of Aβs and then the conformational diversity was

diminished in the two Aβs.

Figure 35: (a) Superposition of the respective Aβ structures. (b) Dendrogram obtained by the cluster

analysis on the conformations of five Aβs.

Aβ1

Aβ2

Aβ3

Aβ4

Aβ5

(a)

(b)

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III.4. Discussion

III.4.1 Formation of Aβs Complex

As seen in Figs. 28 and 29, Aβ2 contained α-helix in a higher rate than other Aβs both for

the four and five Aβs models and was stably bound to the membrane surface. The rate of the

conformational change of Aβ2 was low and the α-helix part was considerably rigid and long.

The cluster analysis also supported the structural inflexibility of Aβ2 because the Aβ2

structures were assigned to a small cluster isolated from the other Aβs (Figs. 34 and 35).

In the five Aβs-incorporated model, Aβ2 and Aβ4 established a strong connection to each

other compared to the other Aβs. The cluster analysis showed that the structures of Aβ4

distributed over four cluster groups, which was the broadest among the Aβs. In contrast, Aβ2

had little structural diversity. No CH−π nor OH−π interaction with the lipid membrane was

observed for Aβ4 but much was seen for Aβ2. The number of H-bonds with the membrane

was low for Aβ4 but many for Aβ2. The binding free energy on the interaction with the

membrane was high for Aβ4 but was low for Aβ2. These results indicated that the two Aβs

had different behaviors, that is, Aβ2 was tightly bound to the membrane surface and Aβ4 was

bound to Aβ2 without contact with the membrane. Accordingly, Aβ2 provided a suitable seat

for Aβ4.

The little interaction with lipid membrane made Aβ4 highly flexible. The readiness in

structural change of Aβ4 made it possible to adjust its conformation to fit well to Aβ2. The

conformational diversity of Aβ4 was compatible with the high β-sheet content of Aβ4. That is,

Aβ2 had a steady connection to lipid membrane and hold Aβ4 in the vicinity of the

membrane. This means that the lipid membrane is indirectly connected to Aβ4 via Aβ2. In

other words, lipid membrane captures two Aβs2. The first Aβ has rigid structure due to a

strong contact with the membrane, while the second Aβ can move around the first one and

make a conformational change to fit the first one. Consequently, an energetically stable Aβ

complex will be formed on the membrane surface

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The progress into β-sheet of Aβ is slow because the corresponding energy barrier is

high.96 In view of the binding free energy between two Aβs in Figs. 32 and 33, only the Aβ2-

Aβ4 interaction showed an energetic gain among every two Aβs. This means that the stable

complexes of Aβ peptides were not rapidly generated. The conversion of monomer Aβs into

dimer, trimer and oligomer was reported to be energetically unfavorable until the critical

nucleus was formed.97 In our study, the presence of one stable Aβ bound to the membrane and

the appearance of another Aβ with high conformational flexibility will be important for

overcoming the energetic barrier to form Aβ complex.

III.4.2 Compatibility with Experimental Findings

Arg5 was observed to play a key role for the Aβ stable binding to the membrane in the

simulations for both models. In the sum of H-bonds of all the Aβs, the positively charged

side-chain of Arg5 had the highest numbers of H-bonds with the GM1 head groups. An NMR

study suggested a possible interaction between Arg5 and GM1.98 The residue 5 of rodent Aβ42

is Gly instead of Arg of human Aβ42. Both human Aβ42 and rodent Aβ42 were aggregated to be

non-toxic forms in the buffer without membrane. In the presence of GM1-containing

membrane, human Aβ42 was aggregated to be toxic form but rodent Aβ42 was developed into

the different form and the aggregates was less toxic.99 In the Aβs aggregation on neuronal cell,

the helix content in rodent Aβ42 was low compared to that in human Aβ42. It was suggested

from the in vitro study that the amount of helix in Aβ was important to generate the seed for

toxic Aβ aggregate.99

The structure and toxicity of Aβ oligomers or fibrils highly depend on the sample

preparation.100 Structural analyses by an isotope-edited Fourier transform infrared

spectroscopy and a solid-state NMR suggested that toxic form of oligomeric Aβs had anti-

parallel β-sheets.101, 102 Further, the fibrils formed on the membrane are significantly

cytotoxic, whereas the fibrils formed in solution are less toxic 91, 103. Since the major content

of a singly isolated Aβ is α-helix, 104, 105,structural transformation into β-sheet of Aβ will be

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related to the toxic fibril form. Another study suggested that mechanical pressure can induce

the transformation from α-helix to β-sheet, in which conversion from α-helix to random coil

was firstly observed by applying mechanical pressure and then the random coil was

converted into β-sheet by subsequent thermal treatment.106 The DSSP plot in our simulation

showed the temporary appearance of β-sheet in the C-terminal side of Aβs (Figs. 28 and 29).

III.4.3 Roles of Reveral Residues in Aβ Complex

The C-terminal domain of Aβ42, residue 29-42, is composed of non-polar residues and

then has a strong hydrophobicity. The domain contains four Glys, which enhances the

structural flexibility and increases the tendency for coil or bend in secondary structure. The

flexibility and the low steric hindrance of side-chain are advantageous for adjusting the

conformation to well fit to other Aβ. Val and Ile are also abundant in the C-terminal domain

and they substantially contribute to the hydrophobic interaction with other molecules.

In our simulation, a stable β-sheet formation was generated between Aβ2 and Aβ4. The

H-bond network constituting the β-sheet backbone was observed for the residues from Ala30

to Gly38. Val 39 and Val 40 supported the β-sheet formation by keeping the hydrophobic

contact. As described above, Aβ2 was stably bound to the membrane surface and the

conformational change was small. In contrast, Aβ4 was bound to Aβ2 without making a

contact with the membrane and the structural diversity during the simulation was broad. A

stable and long helix domain in the N-terminal side of Aβ2 was pinned on the membrane

surface by Arg5 and Lys28. The β-sheet structure started from Ala30. The turn structure at

Lys28, Gly29 and Ala30 is important to keep a steady β-sheet contact between the two Aβs.

Lys28 is favorably exposed to solvent or glycan and Gly29 works as a pivoting point. Further,

Val24 supported the turn structure. The H-bond between Val24 and Ala30 was observed both

for Aβ2 and Aβ4. These H-bonds essentially stabilize the turn at the end of the helix domain

as schematically (Fig. 36).

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Figure 36: (a) Interaction of three molecules in the Aβ complex, extracted from the last snap-

shot structure of the MD simulation for the five Aβs-incorporated model. (b) Schematic illus-

tration of two Aβs making a stable contact in the β-sheet formation.

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III.5. Conclusion:

MD simulations were carried out to characterize the initial stage of the Aβ inter-

molecular interaction on the lipid membrane, using a model membrane containing GM1-

ganglioside, SM, and Chol. The Aβ stably bound to the lipid membrane and keeps a rigid and

long helix structure at its N-terminal side. Arg5 and Lys28 are critical residues to hold the Aβ

helix on the membrane surface. Another Aβ can interact with the Aβ that was first attached to

the membrane. Since the second Aβ has little contact with the membrane, the various

conformational change is possible on the first one in the water layer. This conformational

change is helpful to find a stable structure for Aβ complex. A parallel β-sheet formed between

the C-terminal hydrophobic regions of the two Aβs. The β-sheet structure is likely to start

from Ala30 because Lys28-Gly29-Ala30 is positioned at the turn region just after the long

helix and a hydrogen bond from Val24 to Ala30 stabilize the tight turn.

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IV. Summary

The interaction of Aβ peptide with cell membrane is one of the factors enhancing Aβ

aggregation that is closely related to a neuro-disturbance disease. The unique formation and

aggregation of Aβ peptides on the neuronal cell membrane is a hallmark of

neuroinflammation disease. Many studies have suggested that the aggregation of toxic Aβ

peptides on lipid membrane was enhanced on the glycolipid-containing micro-domain which

consisted of GM1 ganglioside, in high concentrations. GM1 is likely to form a cluster on the

membrane containing SM and Chol. GM1 cluster has a hydrophobic surface and negatively

charged area due to the condensation of glycans. Many computational studies have been

executed to investigate the behavior of Aβ in an aqueous condition or in the presence of a

lipid membrane. However, only a simple lipid membrane including of a single type of lipid

was used in most of that researches. Therefore, simulation analysis using a mixed membrane

including GM1 ganglioside, SM and Chol are needed. The most commonly observed forms

of toxic Aβs consist of 40 and/or 42 residues, which are referred as Aβ40 and Aβ42. In this

work, I performed MD simulations to investigate the initial stage of adhesion of Aβ40 (chapter

II) and Aβ42 (chapter III) to a lipid membrane containing GM1/ SM/ Chol. An important

feature of our computational study is that Aβ40 showed more diverse structural

transformation than Aβ42. This feature on the conformational flexibility enabled Aβ40 to be

inserted into space that not occupied by head groups of lipids on the membrane surface. The

α-helix content of Aβ42 is larger than that of Aβ40 and then the structure of Aβ42 is more stable

than Aβ40. This means that Aβ40 relatively shows dynamic movement, compared to Aβ42.

Arg5 and Lys28 are important residues to hold the Aβ42 helix on the membrane surface but

residues His14 and Leu34 were important to adhesion of Aβ40 on the membrane. The unique

formation of Aβ on a GM1 Ganglioside containing lipid membrane warrants further

investigations as early diagnosis of AD.

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Acknowledgment

First of all, I like to express by thanking Dr. Tyuji Hoshino and prof. Saburo Neya, The

primary supervisors he invited me to Japan and give me an opportunity to achieve my goal,

they not only a good supervisor but a good friend. I learn many things in bio-computational

field.

I would also like to appropriate of Ministry of Education, Culture, Sports, Science, and

Technolog(MEXT)Japan for scholarship to me. I appreciate Chiba University for all

support.

I would like to thank all my colleagues at the school, especially Mr. Komukai and Dr.Fudo.

During my study, I received help from them, and I have had a lot of support from them.

In the end, I appreciate and my parents and my brother Mohammad for all things.

I would like to thank the committee for taking time from their busy schedules to read and

give feedback to my work.

Thank you all!

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Publications & Presentations

Publications

1. Vahed, M., Neya, S., Matsuzaki, K., Hoshino, T. Simulation Study on Complex Confor-

mations of Aβ42 Peptides on a GM1 Ganglioside Containing Lipid Membrane. Chem. Pharm.

Bull. 2018, 66, 170-177.

2. Vahed, M., Neya, S., Matsuzaki, K., Hoshino, T. Analysis of Physicochemical Interaction

of Aβ40with GM1 Ganglioside-Containing Lipid Membrane. Accepted, 2018, 14, Mar. J.

Phys. Chem. B.

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Presentations

1. Vahed, M., Hoshino, T., Yoneda, T., Neya, S., Matsuzaki K. Adhesion behavior of Aβ40

onto the GM1-containg lipid membrane analyzed by MD simulation. 136th Annual Meeting

of the Pharmaceutical Society of Japan. March 26, 2016 in PACIFICO Yokohama, Japan.

2. Vahed, M., Hoshino, T., Yoneda, T., Neya, S., Matsuzaki, K. Mechanism of physicochem-

ical interactions of four Aβ42 peptids onto GM1 ganglioside-containing lipid membrane. 6th

International Conference on Bioinformatics & Systems Biology, August 23, 2016 in Phila-

delphia, USA.

3. Vahed, M., Hoshino, T., Yoneda, T., Neya, S., Matsuzaki, K. GM1 ganglioside containing

lipid membrane and aggregation of amyloid beta peptides: Alzheimer’s related protein. IMS

2016 supper computer, February 2, 2017 Okazaki Conference Center, Japan.

4. Vahed, M., Hoshino, T., Yoneda, T., Neya, S., Vahed, M, Matsuzaki, K. Role of aromatic

interaction in adhesion of amyloid beta peptides on glycolipid containing membrane. Interna-

tional Conference on Glycobiology, September 22, 2017 Houston, USA.

5. Vahed, M., Hoshino, T., Yoneda, T., Neya, S., Vahed, M., Matsuzaki, K. Analysis of physi-

cochemical interaction GM1 ganglioside cluster containing lipid membrane with amyloid be-

ta peptides: Alzheimer's related protein. Society for Neuroscience November 14, 2017, Wash-

ington D.C, USA.

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Thesis Examiner Committee

This thesis was examined by the following committee authorized by the

Graduate School of Pharmaceutical Sciences, Chiba University

Professor Kunikazu Moribe Chairman

(Department of Pharmaceutical Technology, Graduate School of

Pharmaceutical Sciences, Chiba University)

Professor Yasushi Arano

(Department of Molecular Imaging and Radiotherapy, Graduate School of

Pharmaceutical Sciences Chiba University)

Professor Yasumitsu Ogura

(Department of Toxicology and Environmental Health, Graduate School of

Pharmaceutical Sciences, Chiba University)