medical aerosol deposition in the human lung

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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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    RiefRiefRiefRief

    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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    Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006

    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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    Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006

    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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    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

    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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    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):

    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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    RiefRiefRiefRief

    Kaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, JanuaryKaiserslautern, January 26262626thththth to 27to 27to 27to 27thththth,,,, 2006200620062006

    II. Model of the Human Lung

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    RiefRiefRiefRief

    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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    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

    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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    RiefRiefRiefRief

    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

    -

    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