medical aerosol deposition in the human lung
TRANSCRIPT
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Medical Aerosol Deposition in the Human Lung
Dr. Stefan RiefDr. Stefan RiefDr. Stefan RiefDr. Stefan Rief
Workshop on Microstructure Simulation andWorkshop on Microstructure Simulation andWorkshop on Microstructure Simulation andWorkshop on Microstructure Simulation andVirtual Material DesignVirtual Material DesignVirtual Material DesignVirtual Material Design
Kaiserslautern, January 26Kaiserslautern, January 26Kaiserslautern, January 26Kaiserslautern, January 26thththth
to 27to 27to 27to 27thththth
, 2006, 2006, 2006, 2006
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
Overview
I. Introduction
II. Model of the Human Lung
III. Simulation of Respiration andHygroscopic Aerosols
IV. Current State and Outlook
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I. Introduction
Simulation of Aerosol Dynamics in the Human Lungoriginates from a joint project of
Medical Background Modeling and Simulation Computer Tomography
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I. Introduction
New Challenges for ITWMs
Filter Simulation Technology Virtual model of a human lung
Simulation of the respiration cycle
Hygroscopic particle growth
Aims of the Project
Prediction of aerosol deposition in the lung
Optimization of particle sizes -> Reduced amountof applied medicine
Knowledge of absorbed dose
CaskCaskCaskCask of aof aof aof a lunglunglunglung
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
Overview
I. Motivation
II. Model of the Human Lung
III. Simulation of Respiration andHygroscopic Aerosols
IV. Current State and Outlook
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RiefRiefRiefRief
Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
II. Model of the Human Lung
Model of a human airway tree (Model of a human airway tree (Model of a human airway tree (Model of a human airway tree (KitaokaKitaokaKitaokaKitaoka, 1999):, 1999):, 1999):, 1999):
Outer boundaries of the organ (heart, backbone,
diaphragm, ) are given by a set of algebraic equations
Lung is based on a dichotomous tube model
Branches are characterized by
- di tube diameters
- i branching angles
- r flow dividing ratio
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
II. Model of the Human Lung
Model of a human airway tree (Model of a human airway tree (Model of a human airway tree (Model of a human airway tree (KitaokaKitaokaKitaokaKitaoka, 1999):, 1999):, 1999):, 1999):
9 rules determine the branching, e.g.
- conservation of flow rates at branches
- tube length = 3 * tube diameter
- branching is planar
- successive branching planes are perpendicular
- flow-dividing ratio = volume-dividing ratio
- minimum flow rate terminates branching
Morphometric characteristics are in good agreement to literature and lung casks
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
II. Model of the Human Lung
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
II. Model of the Human Lung
~1000 tubes~1000 tubes~1000 tubes~1000 tubes ~7000 tubes~7000 tubes~7000 tubes~7000 tubes
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
Overview
I. Motivation
II. Model of the Human Lung
III. Simulation of Respiration andHygroscopic Aerosols
IV. Current State and Outlook
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RiefRiefRiefRief
Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
III. Simulation of Respiration and Hygroscopic Aerosols
Model of the Respiration CycleModel of the Respiration CycleModel of the Respiration CycleModel of the Respiration Cycle instationary, incompressible Navier-Stokes equations
constant pressure at the inlet (trachea)
time-periodic pressure variations at the outlets
no-slip conditions on the tube walls
p=0
p(t) = sin(w*t)
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Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
III. Simulation of Respiration and Hygroscopic Aerosols
Hygroscopic AerosolsHygroscopic AerosolsHygroscopic AerosolsHygroscopic Aerosols
due to large humidity, aerosol particles growsignificantly during the respiration cycle
particle growth obeys a nonlinear ODEparameterized by
- surface tension of water
- saturation rate of air
- temperature
- mobility of water in air
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diameter has to be updated in each time step
additional collision check due to particlegrowth
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RiefRiefRiefRief
Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
Overview
I. Motivation
II. Model of the Human Lung
III. Simulation of Respiration andHygroscopic Aerosols
IV. Current State and Outlook
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RiefRiefRiefRief
Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006
IV. Current State and Outlook
AchievementsAchievementsAchievementsAchievements
Geometric model of a virtual human lung
Growth of hygroscopic aerosols
Respiration cycle
Still To DoStill To DoStill To DoStill To Do
detailed deposition study of aerosol particles ofdifferent size providing
1) suggestion for an optimum aerosol particle size
2) quantitative statement about absorbed dose
ValidationExisting
Data