measuring pkas, logp and solubility by automated titration

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© 2008 Sirius Analytical Measuring pK a s, logP and Solubility by Automated titration Jon Mole Technical Sales Manager www.sirius-analytical.com

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Presentation by Sirius Analytical covering measurement of pKa, LogP, LogD, Solubility, Supersaturation and precipitation kinetics.For more details visit www.sirius-analytical.com

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Page 1: Measuring pKas, logP and Solubility by Automated titration

© 2008

Sirius Analytical

Measuring pKas, logP and Solubility by Automated titration

Jon MoleTechnical Sales Manager

www.sirius-analytical.com

Page 2: Measuring pKas, logP and Solubility by Automated titration

© 2008

Contents Introduction to Sirius

Overview of instrumentation & assays for pKa, logP/D

Validation studies

Principle of our “CheqSol” Solubility method

Our early theories

Four classes of solubility behaviour - implications

Modelling gastrointestinal precipitation/dissolution

Conclusions

2/ 70

Page 3: Measuring pKas, logP and Solubility by Automated titration

© 2008

An introduction to Sirius

Sirius was founded in 1990 in the UK. We are a manufacturer and vendor of instrumentation for measurement of physicochemical parameters.

We also run an Analytical Service, and measure thousands of samples for hundreds of customers, worldwide, each year.

3/ 70

Page 4: Measuring pKas, logP and Solubility by Automated titration

© 2008

Sirius locations

Sirius Analytical Ltd. Company headquarters in UK

– Manufacturing

– Engineering

– Software

– Chemistry R & D

– Administration

Located in Forest Row, East Sussex

30 minutes from London Gatwick Airport

Direct sales in some countries, distributors in others

Sirius Analytical Inc. Support for North American

customers– Instrument service

– Installation

– Training

– Sales

– Stock of parts

Located in Lakewood, NJ 60 minutes from Newark Airport

4/ 70

Page 5: Measuring pKas, logP and Solubility by Automated titration

© 2008

What we do

We make instruments for measuring physicochemical properties of ionizable compounds

– pKa

– logP/D– Solubility– Dissolution

Widely accepted assays regarded as “gold standard”

Instruments installed at most major pharmaceutical companies

We also offer an analytical service for these parameters (and many more)

5/ 70

Page 6: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 706

Propranolol (a base): pKa = 9.53

O

NH2+

HO

H3C

H3C

O

NH

HO

H3C

H3C

BH+ B

BH+ B

Flumequine (an acid): pKa = 6.27

N

O OH

O

CH3

F

N

O O-

O

CH3

F

HA A-HA A-

pKa is the pH at which an ionisable group is “half-ionised”

Page 7: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 707

Most drugs ionize in solution Other properties (lipophilicity, solubility, permeability) are

pKa-dependent

In general:– neutral molecules are more easily absorbed by membranes– ionized molecules remain in plasma and are predominantly cleared by

renal excretion

Other reasons:Useful in formulation and salt selection. With knowledge of

pKa values, the species which is stable over the largest pH range can be selected.

Why is pKa important?

Page 8: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 708

2 or more acidic groups, no basic ~ 3%

1 basic group, no acidic ~ 42%

1 acidic group, no basic ~ 12%

Others ~ 3%1 basic group + 2 or more acidic ~ 3%

1 acidic group + 2 or more basic ~ 4%

1 acidic group + 1 basic ~ 8%

2 or more basic groups, no acidic ~ 25%

With thanks to Tim Mitchell and Ryszard Koblecki, Millennium Pharmaceuticals Ltd.

32,437 Ionizable drugs in World Drug Index (63% of total)

Page 9: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 709

Human Gastrointestinal (GI) Tract

STOMACH 0.1 m2

DUODENUM 0.1 m2

JEJUNUM 60 m2

ILEUM 60 m2

COLON 0.3 m2

pH (fasted)

4.6 (2.4 - 6.8)

6.1 (5.8 - 6.2)

1.7 (1.4 -2.1)

6.5 (6.0 - 7.0)

6.5

8.05.0 - 8.0

pH (fed)

5.0 (0.1 hr)

4.5 - 5.5 (1 hr)

4.7 (2 hr)

6.5

8.0

3-4 h small Intestinetransit time

Page 10: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7010

P = partition coefficient.

The ratio of concentrations of

unionised species dissolved in

two immiscible solvents (e.g.

water + octanol) which are in

equilibrium.

D = Distribution Coefficient.

The ratio of all species

dissolved in two immiscible

solvents which are in

equilibrium.

water

octanol

species ionised unionised

species ionised unionised D

LogP and logD describe lipophilicity

P is constant D is pH-dependent

water

octanol

speciedunionised

speciesunionisedP

Page 11: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7011

-2

-1

0

1

2

3

4

5

0 2 4 6 8 10 12 14

pH

log

D

DesipraminepKa = 10.14

DiphenhydraminepKa = 8.26

TriamterenepKa = 3.92

These molecules all have similar value for log D at pH 7.4.

Their lipophilicity profiles are quite different

Flat part of curve: log D = log P of neutral species

Big changes in lipophilicity occur over physiological pH range

Physiological pH range

DiclofenacpKa = 3.99

PhenobarbitalpKa = 7.43

NifuroximepKa = 10.56

Lipophilicity profiles are pKa and pH dependent

Page 12: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7012

LogD at pH 7.4 Implications for drug development

Below 0 Intestinal and CNS permeability problems.

Susceptible to renal clearance.

0 to 1 May show a good balance between permeability and solubility.

At lower values, CNS permeability may suffer

1 to 3 Optimum range for CNS and non-CNS orally active drugs.

Low metabolic liabilities, generally good CNS penetration

3 to 5 Solubility tends to become lower. Metabolic liabilities increase

Above 5 Low solubility and poor oral bioavailability. Erratic absorption.

High metabolic liability, although potency may still be high.

Why is logP (and logD) important?

LogP and logD (lipophilicity) provide a rough guide to pharmacokinetic behavior.

Page 13: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7013

Why is solubility important?

Poorly soluble molecules rarely make successful drugs– They are difficult to absorb, to formulate and to analyze

Discovery and lead optimization– it helps in identification of potential screening and bioavailability

issues– it is valuable in planning chemistry changes

Biopharmaceutical evaluation– it is important for the confirmation of bioavailability issues– during early trials of drugs, it is used in the design of animal

formulations, as well as for human formulation design Development

– solubility knowledge is needed for biopharmaceutical classification, biowaivers and bioequivalence

– it is also required for formulation optimization and salt selection Manufacturing

– solubility affects the optimization of manufacturing processes

Page 14: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7014

Solubility is also pKa and pH dependent

NH

OH

O Cl

Cl

Compounds are more soluble when ionized

Lower plateau is the “intrinsic solubility”

Propranolol

Base

pKa = 9.54

S0 = 81μg/mL (314μM)

Diclofenac

Acid

pKa = 3.99

S0 = 0.9μg/mL (4.1μM)

O

NH

OH

CH3

CH3

Page 15: Measuring pKas, logP and Solubility by Automated titration

© 2008

SiriusT3

Our “next generation” system

pKa

logP/DSolubilityBuilt in UV/VisSub-mg sample

requirementAutoloader for 192

samplesMore automation,

easier to use

www.sirius-analytical.com/products/SiriusT3.shtml15/ 70

Page 16: Measuring pKas, logP and Solubility by Automated titration

© 2008

SiriusT3 - Dispenser Module

5 Mini dispensersCosolvent 6 way valveReagents storageArgon spargingUV/Vis diode array &

detector

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Page 17: Measuring pKas, logP and Solubility by Automated titration

© 2008

SiriusT3 – Titrator Module

Arm moves probes into calibration, wash and assay positions

Built in turbidity sensorPeltier temperature

controlArgon flowFlowing water wash for

optimum cleaning

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Page 18: Measuring pKas, logP and Solubility by Automated titration

© 2008

SiriusT3 – Autoloader Module

4 x 48 vial racksStandard footprintRobotic gripper arm to

automatically move samples

Built in ultra-sonic bath

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Page 19: Measuring pKas, logP and Solubility by Automated titration

© 2008

Titration cell for SiriusT3

Capillaries, for adding reagents

pH electrode, diameter 3mm

Glass vial, 4 ml total capacity

Electronic thermometer

Automatic overhead

Stirrer

Probes require a minimum of 0.5mL of solution contained in glass vial. Typical assay volume = 1ml.

UV Dip Probe.

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Page 20: Measuring pKas, logP and Solubility by Automated titration

© 2008

pH-metric pKa – experimental process

Set up assay

– SiriusT3 software includes templates for all assays

Data Collection

– weigh sample into vial (or dispense stock solution)

– instrument adds water (or water-CoSolvent)

– instrument adjusts pH, then titrates with acid or base

Calculation of results (in software)

– pKa result obtained by analyzing the shape of the titration curve

– Calculation fully automated in SiriusT3 software

Titration of flumequine in 39.8% methanol

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Page 21: Measuring pKas, logP and Solubility by Automated titration

© 2008

A refined solution

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Page 22: Measuring pKas, logP and Solubility by Automated titration

© 2008

½Á

(b

ou

nd

per

Van

)

Example: vancomycinMeasured pKas:

Van4- + H+ VanH3- pKa6 11.88 ± 0.01

VanH3- + H+ VanH22- pKa5 10.15 ± 0.01

VanH22- + H+ VanH3

- pKa4 9.28 ± 0.01

VanH3- + H+ VanH4 pKa3 8.62 ± 0.01

VanH4 + H+ VanH5- pKa2 7.48 ± 0.01

VanH5+ + H+ VanH62+ pKa1 2.64 ± 0.01

0

1

2

3

4

5

6

7

1 2 3 4 5 6 7 8 9 10 11 12 13 pH (concentration scale)

Difference Curve

0

50

100

% S

pe

cie

s

1 2 3 4 5 6 7 8 9 10 11 12 13

pH

Distribution of species

VanH5

Difference Curve can handle 1, 2 or several pKas

OHHOOH

HN

HOOC H

ONH

O O

Cl

NH

O

ClH

HHO

HHN

H HN

O

OHH

NH

NHCH3

HC H

O

OO

O

O

O

O

H

OH

HO

CH2OH

CH3

NH2

H3C

HO

O

H2N

H3C

CH3

22/ 70

Page 23: Measuring pKas, logP and Solubility by Automated titration

© 2008 * D-PAS = Dip-Probe Absorption Spectroscopy* D-PAS = Dip-Probe Absorption Spectroscopy

pKa measurement by UV

Multi-wavelength UV technique

220 to 750nm, diode array

Fibre optic dip probe allows spectral

measurement during titration

Less sample required (down to 10-6 M)

3uL of 10mM Stock

equally sensitive over entire pH range

pKas measured below 1, above 13

Allows fast pKa measurement (just 4 mins)23/ 70

Page 24: Measuring pKas, logP and Solubility by Automated titration

© 2008

Set up assay

– SiriusT3 software has built-in templates for UV pKa assays

Data Collection

– Prepare 10mM stock solution of sample in DMSO

– Pipette 3μL of stock solution into vial

– instrument adds water (or water + CoSolvent) & buffer

– instrument adjusts pH, then titrates with acid or base

Calculation of results (in software)

– Target Factor Analysis (TFA) method finds pKas, even when they are

overlapping or spectral change as a function of ionization is small

– Calculation fully automated in SiriusT3 software

UV pKa - experimental

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Page 25: Measuring pKas, logP and Solubility by Automated titration

© 2008

3-D spectrum: pH vs. absorbance vs.

wavelength

pKa from UV spectra

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Page 26: Measuring pKas, logP and Solubility by Automated titration

© 2008

pKa from UV spectra

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Page 27: Measuring pKas, logP and Solubility by Automated titration

© 2008

pKa result calculated by Target Factor Analysis (TFA)

pKa Result

27 / 70

Page 28: Measuring pKas, logP and Solubility by Automated titration

© 2008

Using CoSolvents

Dissolve sample in water-miscible CoSolvent + water

– Water-CoSolvent should be ionic-strength-adjusted to 0.15M with KCl

– Solvents supported fully:

methanol (80%) 1,4 dioxane (60%)

DMSO (60%) ethanol (60%)

ethylene glycol (60%) DMF (60%)

THF (60%) Acetonitrile

(50%)

MDM-mix (20% Methanol, 20% dioxane, 20% acetonitrile) (60%)

Iso-propyl alcohol

28/ 70

Page 29: Measuring pKas, logP and Solubility by Automated titration

© 2008

Using Sirius: Quinine hydrochloride pKa

Sample weighed into vial

SiriusT3 adds CoSolvent + water (45 wt%

methanol), lowers pH and titrates with KOH (green

curve)

SiriusT3 adds more water (now 35 wt%

methanol), lowers pH and titrates with KOH (red

curve)

SiriusT3 adds more water (now 25 wt%

methanol), lowers pH and titrates with KOH (blue

curve)

Results from Yasuda-Shedlovsky extrapolation:

– pKa1 = 8.49 ± 0.02

– pKa2 = 4.22 ± 0.01

N

O

CH3

HO

H

N+

H

H

H

Cl-

Example of a CoSolvent titration

29/ 70

Page 30: Measuring pKas, logP and Solubility by Automated titration

© 2008

3-aminobenzoic acid

4

5

6

7

12 13 14 15 16 17 181/e

p¿K¾+log[H

2O]

...using CoSolvent psKa titrations

COOH

NH3+

COOH

NH2

COO-

NH2

Yasuda-Shedlovsky slope direction:

up (red) = acidic group

down (blue) = basic group

3-aminobenzoic acid: an example of an ordinary ampholyte

Assigning pKas to ionizable groups

30/ 70

Page 31: Measuring pKas, logP and Solubility by Automated titration

© 2008

Detecting precipitation

SiriusT3 has built in turbidity detection .

Shaded area shows pH where sample precipitated.

This is a warning, do not use this data to determine pKa of miconazole!

Repeat in cosolvent to avoid precipitation and get reliable pKa data.

N

N

O

Cl

Cl Cl

Cl

31/ 70

Page 32: Measuring pKas, logP and Solubility by Automated titration

© 2008

Set up assay

– SiriusT3 software has templates for logP assays

Data Collection

– weigh sample into vial (or use stock solution).

– instrument adds water and octanol

– instrument adjusts pH, then titrates with acid or base

Calculation of results (in software)

– logP result obtained by analyzing the shape of the titration curve

(procedure requires pKa value)

– Calculation fully automated in SiriusT3 software

pH-metric logP - experimental

32/ 70

Page 33: Measuring pKas, logP and Solubility by Automated titration

© 2008

Principles of pH-metric logP measurement

]][X[H

][XHlog pK

0a

aq0

oct0

][X

][Xlog logP

A solution of the sample is titrated in a two-phase system (water + octanol)

The sample can ionise in water (pKa), or it can partition into octanol (logP)

The presence of the octanol disturbs the pKa equilibrium.

The pKa shifts to a new value (poKa) to minimise this disturbance. We calculate the logP from this shift in pKa.

33/ 70

Page 34: Measuring pKas, logP and Solubility by Automated titration

© 2008

Flumequine (acid)pKa = 6.27, poKa = 7.99 log P = 1.72

Lipophilicity profiles: these

profiles are correct for high logD, but

do not show partitioning of ionic species

Diacetylmorphine (base)pKa = 7.95, poKa = 6.37 logP = 1.58 O

O

O

H

N

CH3

O

CH3

H3C O

Titrations with equal volumes of water and octanol

Aqueous pKa poKa

N

O OH

O

CH3

F

34/ 70

Page 35: Measuring pKas, logP and Solubility by Automated titration

© 2008

Shake flask vs. pH-metric

line calculated using log D

equation for monoprotic base,

using pKa = 9.54, log P0 = 1.83,

log P1 = -1.32 (pH-metric data,

0.15M KCl, 25°C [8])

[8] Caron, G., Steyaert, G., Pagliara, A., Reymond, F., Crivori, P., Gaillard, P., Carrupt, P.A., Avdeef, A., Comer, J., Box, K.J., Girault, H.H., Testa, B. Helv Chim Acta. 82, 1211-1222 (1999)

[9] Barbato, F., Caliendo, G., Larotonda, M.I., Morrica, P., Silipo, C., Vittoria, A. Farmaco. 45, 647-663 (1990)

HN

OHN

OH

Pindolol

points from shake-flask experiments, various

buffers, 0.1M [9]

35/ 70

Page 36: Measuring pKas, logP and Solubility by Automated titration

© 2008

The world’s most powerful system for measuring pKa

SiriusT3 is our third generation instrument.

We have spent over 15 years of continuous research and development on improving our assays and calculations for pKa, logP and solubility measurement.

If a sample has a pKa between 2 and 12, we can always measure it on the SiriusT3 system.

Every year we measure pKa of hundreds of samples that customers send us, and we never fail (provided the sample has a pKa and is chemically stable and pure).

36/ 70

Page 37: Measuring pKas, logP and Solubility by Automated titration

© 2008

R.I. Allen, K.J. Box, J.E.A. Comer, C. Peake, K.Y. Tam, J. Pharm. Biomed. Anal., 17, 699-712, 1998.K.Y. Tam, K. Takács-Novák, Pharm. Research,. 1999, 16, 374-381R.C. Mitchell, C.J. Salter, K.Y. Tam, J. Pharm. Biomed. Anal., 1999, 20, 289-295 K.Y. Tam, M. Hadley, W. Patterson, Talanta, 1999, 49, 539-546

Validation of UV pKa method

0

2

4

6

8

10

12

0 2 4 6 8 10 12pH-metric pKa

UV

pK

a

pKa (spec) = 1.006 x pKa (pH-metric) n = 31 R2 = 0.999 RMSD = 0.098pKa (spec) = 1.006 x pKa (pH-metric) n = 31 R2 = 0.999 RMSD = 0.098

Benzoic acid (3.98)Icotidine (3.29, 5.39, 6.22, 9.97)Lupitidine (2.79, 5.96, 8.25, 9.66)Nicotinic acid (2.10, 4.63)Nitrazepam (2.90, 10.39)Niflumic acid (2.28, 4.86)m-aminobenzoic acid (3.17, 4.54)p-aminosalicylic acid (1.79, 3.58)Phthalic acid (2.70, 4.86)Phenol (9.73)Phenolphthalein (8.87, 9.35)Pyridoxine (4.90, 8.91)Quinine (4.33, 8.59)SB-221789 (2.74)SKF-75250 (1.48, 6.59)

(measured at 25ºC and an ionic strength of 0.15 M)

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Page 38: Measuring pKas, logP and Solubility by Automated titration

© 2008

B. Slater, A. McCormack, A. Avdeef and J.E.A. Comer, J. Pharm. Sci. 1994, 83,1280-1283

J.E.A. Comer, K. Chamberlain and A. Evans in J. Devillers (Ed.), SAR QSAR Environ. Res., Vol.3 Issue 4; Molecular Descriptors, Gordon and Breach, Philadelphia 1995, pp. 307-313.

K. Takács-Novák and A. Avdeef, J. Pharm. Biomed. Anal. 1996, 14,1405-141;

Validation of pH-metric logP method

61 samples over eight logP units

amino acids, peptides, ampholytes, barbiturates, ß-blockers, herbicides, phenols, various others

61 samples over eight logP units

amino acids, peptides, ampholytes, barbiturates, ß-blockers, herbicides, phenols, various others

Graph plotted using Polyfit program from RefinementPro 2

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Page 39: Measuring pKas, logP and Solubility by Automated titration

© 2008

CheqSol Technology – for Solubility measurement

In 2004, Sirius introduced a new patented technology for measuring

solubility of ionizable drugs.

Recent investigations at Sirius using our CheqSol solubility assay has given

us some interesting insights into supersaturation effects and the

relationships between dissolution and precipitation rates for a range of

drugs.

Our latest research indicates that molecules can be placed into one of four

classes: Chasers, Non-Chasers, Super-Dissolvers and Ghosts.

39/ 70

Page 40: Measuring pKas, logP and Solubility by Automated titration

© 2008

Introduction to CheqSol

Unique method for solubility measurement

Runs on Sirius GLpKa, PCA200 & SiriusT3 instruments

Requires pKa value

Uses “Chasing Equilibrium” process to determine intrinsic solubility

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Page 41: Measuring pKas, logP and Solubility by Automated titration

© 2008

Sirius definitions of solubility

Kinetic Solubility is the concentration of a compound in solution at the time when an induced precipitate first appears

Equilibrium Solubility* is the concentration of compound in a saturated solution when excess solid is present, and solution and solid are at equilibrium

Intrinsic Solubility ** is the equilibrium solubility of the free acid or base form of an ionizable compound at a pH where it is fully un-ionized

* also called Thermodynamic Solubility** Hörter, D.; Dressman, J. B. Adv. Drug Deliv. Rev., 1997, 25, 3-14

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Page 42: Measuring pKas, logP and Solubility by Automated titration

© 2008

Solid added to vial. (5 to 20mg on GLpKa)(0.5 to 2mg on SiriusT3)

Instrument adds water (or water-cosolvent), then adjusts pH to dissolve sample.

Solution titrated towards the pH where the sample becomes neutral.Eventually it precipitates

Precipitation causes light scattering, and system detects this as an increase in the light absorbed.

Kinetic solubility determined at point of precipitation.

Starting the CheqSol Assay - Seeking precipitation

Before precipitation, no light is absorbed by the solution

Ab

sorb

an

ce

0.0

0.8

1.6

2.4

3.2

200 300 400 500 600 700

After precipitation, most light is scattered

Wavelength (nm)

0.0

0.8

1.6

2.4

3.2

200 300 400 500 600 700

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Page 43: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7043

The Bjerrum Graph: a graphical view of solubility

Bjerrum Graphs provide a graphical view of solubility

They are theoretical curves plotted using pH, pKa, solubility and concentration of sample

They are related to the Distribution of Species graph

– Graph below shows distribution of species of Pindolol in aqueous solution

The next slide shows the Bjerrum function Bj vs. pH

BBH+

pH

2 4 6 8 10 12

% S

peci

es

0

50

100

pKa = 9.54

Page 44: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7044

Sample = base with one pKa

Understanding the Bjerrum Graph

Precipitate is present

pH

0.0

0.5

1.0

2 4 6 8 10 12

pH = pKa

Sample is unionised at

this pH

Sample is ionised at this pH

Bj =

Mo

les

of

boun

d H

+

ions

per

mol

e of

sam

ple

Precipitation Bjerrum Graph. For a base with one pKa,

atotal

0

]K[X][HS

Bj

Solution Bjerrum Graph. For a base with one pKa ,

aK][H

][HBj

1.0

BBH+

pH

2 4 6 8 10 12

% S

peci

es

0

50

100

Page 45: Measuring pKas, logP and Solubility by Automated titration

© 2008/ 7045

Sample = base with one pKa

Understanding the Bjerrum Graph

This distance depends on:

Solubility (for a given concentration, distance increases as solubility decreases)

Concentration (for a given solubility, distance increases as concentration increases)

Precipitate is present

pH

0.0

0.5

1.0

2 4 6 8 10 12

pH = pKa

Sample is unionised at

this pH

Sample is ionised at this pH

Bj =

Mo

les

of

boun

d H

+

ions

per

mol

e of

sam

ple

Precipitation Bjerrum Graph. For a base with one pKa,

atotal

0

]K[X][HS

Bj

Solution Bjerrum Graph. For a base with one pKa ,

aK][H

][HBj

1.0

pH

0.0

1.0

2 4 6 8 10

0.5

Sample = acid with one pKa

Sample is ionised at

this pH

Sample is unionised at this pH

Page 46: Measuring pKas, logP and Solubility by Automated titration

© 2008

CheqSol example – solubility of Pindolol (a chaser)

Pindolol is a beta-blocker, used to reduce hypertension

It’s a secondary amine with pKa of 9.54 (25°C, 0.15M ionic strength)

The neutral form B is poorly soluble in water at high pH

The ionized form BH+ is soluble at low pH

BH+

solubleBinsoluble

NH

ONH

OH

CH3

CH3

NH

ONH2+

OH

CH3

CH3

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Page 47: Measuring pKas, logP and Solubility by Automated titration

© 2008

Pindolol - Chasing method

For Pindolol, the kinetic solubility falls on a different Precipitation Bjerrum Graph to the rest of the data

Intrinsic solubility is determined from the data points on the Equilibrium Precipitation Graph, as explained in the following slides

Kinetic solubility is higher than Intrinsic solubility Assay took 37 minutes to measure kinetic and Intrinsic solubility

pH

0.0

0.5

1.0

0 2 4 6 8 10 12 14

Mole

s of

bound H

+

ions

per

mole

of

sam

ple

Precipitation detected at pH 9.07 (Kinetic point)

While chasing equilibrium, all data

points fall on the Equilibrium

Precipitation Graph

Equilibrium Precipitation Graph

Kinetic Precipitation

Graph

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Page 48: Measuring pKas, logP and Solubility by Automated titration

© 2008

Overview of Chasing Equilibrium

CheqSol adds HCl or KOH solution while precipitate is present, and records the rate of pH change*

*after waiting until the onset of sustained response

This forces the neutral species to cycle between two states:

Between these states, a point will be crossed where the concentration of neutral species would be at equilibrium

This technique is called Chasing Equilibrium

NOTE: CheqSol is short for Chasing equilibrium Solubility

CheqSol was invented in April 2004 at Sirius. Sirius have a patent for the CheqSol method.

supersaturated (excess neutral species in solution)subsaturated (excess undissolved neutral species)

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When KOH is added to raise the pH, the solution of Pindolol becomes supersaturated before it precipitates

When precipitate first appears there is a good deal of dissolved unionized material B, but it could take hours before it all falls out of solution

KOH addition pauses when precipitation has been detected Molecules of B interact to form particles of precipitate, and

BH+ ions convert to B to replace some the B that was lost. This releases H+ ions, and the pH goes down

Supersaturated Pindolol

B(aq) + H+

B(s)

BH+ (aq)

Solid State

Solution

CheqSol reports the gradient of this line

0.183dt

dpH

pH

Time (s)

8.6

8.7

8.8

30 40 50 60

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Subsaturated Pindolol

After recording the linear fit to the gradient, CheqSol adds HCl to lower the pH.

Some of the dissolved B converts to BH+ in solution The solution becomes subsaturated, i.e. there is an excess of

precipitate that could dissolveB dissolves. Some of it converts to BH+ in solution. This

consumes H+ ions, and the pH goes up

pH

Time (s)

8.5832

8.5840

8.5848

8.5856

0 25

00570dt

dpH.

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Chasing Equilibrium continues until a graph like this can be drawn. In the graph above, there are eight crossing points.

After collecting a specified number of crossing points, the instrument adjusts pH back to the starting pH to re-dissolve the sample, then cleans the probes for the next experiment.

The Crossing Point Graph for Pindolol

Black lines and circles - nothing addedBlue lines and triangles - KOH addedRed lines and triangles - HCl added

The system would be at equilibrium at the crossing points

dp

H/d

t

-0.04

0

0.04

36 56Time (minutes)

Subsaturated basic sample is dissolving

Supersaturated basic sample is precipitating

Crossing points

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dp

H/d

t

Concentration (µg/mL)

-0.04

0

0.04

0 10 20 80 90

41.32 µg/mL

dp

H/d

t

-0.04

0

0.04

6 36Time (minutes)

Subsaturated basic sample is dissolving

Supersaturated basic sample is precipitating

Crossing points

The concentration of unionized species at each point in the Crossing Point Graph is calculated. This requires

– weight of sample– total volume of solution– concentrations and volumes of

acid and base dispensed– pH at each point

– pKa(s) of sample, both value and type (acid, base)*

Gradient vs. concentration is plotted in the graph below

The average value of all crossing points is the concentration of the unionized species at equilibrium.

This is the Intrinsic Solubility CV shows the quality of assay

Calculating the result for Pindolol

CV

* The procedure is sensitive to errors in pKa – an error of 1 pKa causes an error of 1 logS unit52/ 70

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Pindolol is a chaser

Pindolol is a chaser because its kinetic solubility is significantly higher than its Intrinsic solubility

The neutral species of Pindolol forms a supersaturated aqueous solution

It precipitates slowly, and would take a long time for all the substance to precipitate at a given pH

If Pindolol were to pass from the stomach to the upper intestine, it may be expected to form a supersaturated solution before precipitation – this may help to drive absorption.

The ratio between the kinetic solubility and intrinsic solubility provides an indication of the supersaturation factor – a useful number for modelling absorption?

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Everything a “Chaser”?

When we initially discovered CheqSol – we thought every drug would supersaturate to some degree, and therefore “Chase Equilibrium”

Our first paper presents 6 chasers:

Stuart, M. Box, K. Chasing equilibrium: measuring the intrinsic solubility of weak acids and bases. Anal. Chem. 2005 (77(4)) pp 983-990

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Solubility of six compounds from our first paperpKa Sample

weight (mg)

Time taken (min)

Kinetic solubility (µg/mL)

Intrinsic solubility (µg/mL)

33 45 ± 6 0.9 ± 0.1 0.8 ± 0.2 [1]

43 180 ± 10 50 ± 4 49 ± 2 [1]

79 4600 ± 900 3500 ± 100 3810 ± 20 [3]Lidocaine 7.95 96-280

3.4-24

Ibuprofen 4.35 6.2-51

Diclofenac 3.99

CheqSolIntrinsic solubility (µg/mL)

Literature

All measurements at 25ºC in aqueous 0.15M KCl solution Results for Propranolol and Famotidine are the mean of 6 (others are mean of 10) Time taken includes dissolution time

61 5900 ± 650 740 ± 40 1100 ± 200 [1]

60 120 ± 1 5.3 ± 0.2 5.6 ± 0.3 [2]

60 340 ± 20 81 ± 6 70 ± 20 [1] Propranolol 9.54 10-19

102-123

Warfarin 4.94 10-12

Famotidine 6.77, 11.01

[1] Avdeef, A. Berger, C M. Brownell, C. Pharm. Res. 2000, 17 (10, 85-89[2] Bergström, C A S. Strafford, M. Lazorova, L. Avdeef, A. Luthman, K. Artusson, P. J. Med. Chem. 2003, 46, 558-570[3] Powell, M F. in Analytical Profiles of Drug Substances: Florey, K (ed); Academic \Press, San Diego 1986, 15, 761-779

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Everything a “Chaser”?

We then discovered some compounds that did not follow the “Chasing Equilibrium” process.

We named these compounds “Non-Chasers”

Example – Verapamil (tertiary amine – a base with pKa of 8.72 @25°C, 0.15M ionic strength)

N

NH+

O

O

O

O

CH3

CH3

CH3

CH3

CH3

CH3

CH3N

N

O

O

O

O

CH3

CH3

CH3

CH3

CH3

CH3

CH3

BH+

solubleBinsoluble

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Verapamil Bjerrum Curve

For Verapamil, all points collected, including the kinetic solubility, fall on the Precipitation Bjerrum Graph

After titrating with base, the instrument adds acid to check that the points are still on the Precipitation Bjerrum Graph. If they are, then …

Kinetic solubility = Intrinsic solubility = the solubility value required to fit a precipitation curve to the data points

Assay took just 19 minutes to measure kinetic and Intrinsic solubility

Precipitation detected at pH 7.82 (Kinetic point)

Mole

s of

bound H

+

ions

per

mole

of

sam

ple

pH

0.0

0.5

1.0

0 2 4 6 8 10 12 14

All data points collected after precipitation fall on

the same Precipitation Bjerrum Graph as the

Kinetic Point

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Other Non-Chasers

Chlorpromazine, Imipramine, Quinine, Amitryptyline, Diphenhydramine, Nortriptyline, Desipramine, Diltiazem, Deprenyl.

These compounds would not supersaturate and therefore would precipitate as soon as they exceed their solubility limit.

Questions raised:– What implications does this have for oral absorption?– What determines the degree to which a compound will

supersaturate or not?– Can we predict supersaturation behaviour from structure?– Do chasers precipitate and dissolve at equal rates?

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Can we predict whether a sample is a non-chaser?

N

N

CH3

CH3

Imipramine

Non-chaser

N

CH3

CH3

Amitryptyline

Non-chaser

Chlorpromazine

N

S

N

Cl

CH3

CH3Non-chaser

N

NHCH3

Desipramine

Non-chaser

NHCH3

Nortriptyline

Non-chaser

NHCH3

Maprotiline

Chaser

Secondary and tertiary amines with logP > 4.

S

N

Cl

CH3

CH3

Chlorprothixene

Non-chaser converts to

chaser

N

N

CH3

CH3

CH3

Similar structures, but maprotiline contains a -CH2-CH2- bridge.

Non-chaser

Trimipramine

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N

N

O

O

O

O

CH3

CH3

CH3

CH3

CH3

CH3

CH3

More non-chasers.…..

Amiodarone

Verapamil

O

O

I I

ON

CH3

CH3

CH3

N

N

CH2

OH

OCH3

H

H

H

Quinine

N

S

O

O O

N

O

CH3

CH3

CH3

CH3

H

H

Diltiazem

CHN

CH3

CH3

Deprenyl

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N

N

O

OH

Cl

CH3

CH3

O NH

OH

OH

OH

CH3

CH3

CH3

..….. and some chasers

Terfenadine

Nadolol

LoperamideNOH

OH

CH3

CH3CH3 ONH

NH2

Cl

O

N CH3

CH3

CH3

Metoclopramide

NH

N

N

Cl

OH

CH3

CH3

Amodiaquin

N

N

NH2

NH2

Cl

CH3

Pyrimethamine

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Investigating precipitation and dissolution behaviour

Piroxicam

SN

NH

O O

O

NOH

CH3

SNHN

O

O

N

NH2

CH3

SulfamerazineSupersaturated acidic sample

Subsaturated acidic sample

Subsaturated acidic sample

Supersaturated acidic sample

Most of the early compounds we investigated show a tight symmetry.

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Page 63: Measuring pKas, logP and Solubility by Automated titration

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Investigating precipitation and dissolution behaviour

NO

O

O

O

CH3

CH3

CH3

CH3

Papaverine

Furosemide

S

NH

OO

O

NH2

O

Cl

OHSupersaturated acidic sample

Subsaturated acidic sample

Subsaturated basic sample

Supersaturated basic sample

Some compounds show a clear offset!

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Page 64: Measuring pKas, logP and Solubility by Automated titration

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Using the Precipitation Rate graph to investigate ~100 ionisable drugs, we have found that there appears to be four classes of behaviour.

Slow Precipitator Fast Precipitator

Slow Dissolver

“Chasers”

Slow rate for bothprecipitation and dissolution

Examples:Ibuprofen, Benzocaine, Benzthiazide.

“Non-Chasers”

Fast rate of precipitation, slow rate of dissolving

Examples:Nortriptyline, Amitryptyline, Imipramine.

Fast Dissolver

“Super Dissolvers”

Slow rate of precipitation,Fast rate of dissolving

Examples:Tolmetin, Papaverine, Chlorzoxazone.

“Ghosts”

Fast rate for precipitation and dissolution

Examples:None yet discovered.

The Four Class Model

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Page 65: Measuring pKas, logP and Solubility by Automated titration

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CheqSol Technology A weak base might dissolve fully in the stomach but precipitate on entering the high pH environment of the upper intestinal tract. Can the patterns we observe in CheqSol be used to identify which formulation/delivery methods can be used to improve bioavailability?

Does the supersaturation exhibited by “chasers” mean that the bioavailability is already enhanced over what the thermodynamic properties imply, and thus further formulation/delivery work is unwarranted?

Do non-chasers fall out of solution as amorphous material whereas chasers produce crystalline precipitate?

Amorphous materials are amenable to solid state dispersion nanoparticle delivery methods.

Alternatively, could a formulation technique be used to keep a supersaturated sample in a supersaturated state for longer than expected?

Are the properties we observe inherent to the compound, or can they be changed by the use of excipients, milling techniques etc.?

CheqSol is a unique tool for investigating the precipitation characteristics of a drug.65/ 70

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Kinetic Solubility

Kinetic Solubility

CheqSol Shake-Flask Literature Chaser non-chaser

1 Phthalic Acid 5330 5950 8462

2 Quinine 363 201 491 391

3 Trazodone 134.6 138.0 435

4 Nitrofurantoin 112.5 109.5 78.9 319

5 Nortriptyline 27.0 49.3 20.0 27.3

6 Verapamil 48.5 48.5 9.7 47.8

7 Niflumic Acid 9.53 29.5 59

8 Imipramine 17.2 21.7 18.1 17.3

9 Flumequine 34.2 20.7 121

10 Furosemide 19.7 20.4 5.9 96

11 Maprotiline 5.80 8.05 3.49 77

12 Piroxicam 5.92 5.95 3.16 233

13 Warfarin 5.30 5.25 5.60 120

14 Chlorpromazine 2.70 2.41 1.71 2.70

15 Lidocaine 3500 3810 4600

16 Famotidine 740 1100 5900

17 Hydrochlorothiazide 630 700 2400

18 Chlorpheniramine 608.3 615.2 668

19 Sulfamerazine 200.3 203.0 701

20 Ketoprofen 130.6 178.0 336

21 Propranolol 81.0 70.0 340

22 Ibuprofen 50.0 49.0 180

23 Pindolol 41.7 32.7 1424

24 Miconazole 1.00 0.67

25 Diclofenac 0.90 0.80 45

26 Amodiaquin 0.41 8.8

27 Pamoic acid 0.0003 0.019

All results in µg/mL

Name Equilibrium solubility

Validation of CheqSol solubility method

19 compounds in this group – see next slide

CheqSol vs. Shake-flask results for compounds 1– 14

Six replicate shake-flask experiments compared with six CheqSol experiments for each compound

Box, K J. Völgyi, G. Baka, E. Stuart, M. Takács-Novák, K. Comer, J E A. J. Pharm. Sci. 2006, in press

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CheqSol validation

19 compounds with low solubility Good correlation between CheqSol and Shake-flask results

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Page 68: Measuring pKas, logP and Solubility by Automated titration

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Conclusion

Sirius are experts in physicochemical measurement, serving a global market.

Sirius provide several turn-key tools for measuring important physicochemical parameters - pKa, LogP/D and Solubility.

Our unique CheqSol assay measures solubility AND supersaturation

Our unique CheqSol assay provides information on dissolution AND precipitation rates

Highly automated instrumentation is available

We are always working to improve and update our instruments and software through innovative research, publications and and collaboration.

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Sources of Further Information

Website:

www.sirius-analytical.com• Overview of Sirius, our products and our technologies

• Detailed list of all our literature publications

• Brochure Downloads

Our recent publications:

• Stuart, M. Box, K. Chasing equilibrium: measuring the intrinsic solubility of weak acids and bases. Anal. Chem. 2005, 77(4), 983-990

• Box, K J. Völgyi, G. Baka, E. Stuart, M. Takács-Novák, K. Comer, J E A. Equilibrium vs. kinetic measurements of aqueous solubility, and the ability of compounds to supersaturate in solution - a validation study. J. Pharm. Sci. 2006, 95, 1298-1307.

• Sköld, C. Winiwarter, S. Johan Wernevik, J. Bergström, F. Engström, L. Allen, R. Box, K. Comer, J. Mole, J. Hallberg, A. Lennernäs, H. Lundstedt, T. Ungell, A-L. Karlén, A. Presentation of a Structurally Diverse and Commercially Available Drug Data Set for Correlation and Benchmarking Studies. J. Med. Chem. 2006, 49(23), 6660-6671

• Llinàs, A. Burley, J C. Box, K J. Glen, R C. Goodman, J M. J. Diclofenac Solubility: Independent Determination of the Intrinsic Solubility of Three Crystal Forms. Med. Chem.; 2007, 50 (5), 979-983 Collaborative research with the University of Cambridge

• Llinàs, A. Box, K J. Burley, J C.Glen, R C. Goodman, J M.J. A new method for the reproducible generation of polymorphs: two forms of Sulindac with very different solubilities. J. Applied Crystallography, 2007, 40(2), 379-381. Collaboration with the University of Cambridge.

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