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Physiological Systems Modeling and Simulation

Physiological Systems Modeling and Simulation. Federica Caselli University of Rome “ Tor Vergata” A.A. 2011/2012. Modeling. Simulation. Physiological Systems Modeling and Simulation. Examples ?. Physiological Systems Modeling and Simulation. Modeling process : Model formulation

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Physiological Systems Modeling and Simulation

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  1. PhysiologicalSystemsModeling and Simulation Federica Caselli UniversityofRome “Tor Vergata” A.A. 2011/2012

  2. Modeling • Simulation PhysiologicalSystemsModeling and Simulation

  3. Examples? PhysiologicalSystemsModeling and Simulation • Modelingprocess: • Modelformulation • Parameter identification • Modelvalidation • Modelsimulation • (iterative process!) • Purposeofmodeling • Understandingphysiology • Diagnosis • Prediction • Artificialorgan design • Virtual medicine • …

  4. Typeofmodels • Black or gray box (data or system modeling) • Linear or nonlinear • Stationary or time-dependent • Lumped or distributedparameters (ODE or PDE) • Deterministic or stochastic • …

  5. LTI ModelsofPhysiologicalSystems Example: linearized lung mechanics

  6. System Identification Gray box Black box

  7. Homeostasis! Physiological CONTROL Systems

  8. Milestones 1952

  9. Milestones 1938 Hill model 1957 Huxley crossbridge model

  10. Electricconduction in cells and tissues

  11. Drug delivery system modeling Cell encapsulation Normalized drug mass in the container

  12. Biomechanics

  13. Biomechanics

  14. Biomechanics

  15. Biomechanics symmetry clamped contact

  16. Biomechanics Stress free 100 %

  17. Heart-lungmachine Oxygen diffusion and transport, blood flow dynamics, stress on red blood cell and haemolysis ...

  18. Tonamebut a few! Challenges • Complexity • Multiphysics & Multiscalemodels • Holistic approach • Growth and remodeling • Patient-Specific models • Noninvasive method for parameter identification • Computational efforts

  19. References • Cobelli C. and Carson E., Introduction to Modeling in Physiology and Medicine, Elsevier/Academic Press, New York, 2007. • Holzapfel G.A., Nonlinear Solid Mechanics: A Continuum Approach for Engineering, Wiley, New York, 2000. • Humphrey J.D., Cardiovascular Solid Mechanics: cells, tissues and organs, Springer-Verlag, 2002. • Keener J. and Sneyd J., Mathematical Physiology – Systems Physiology, Springer. • Khoo M.C.K., Physiological Control Systems, IEEE Press, 2000. • Quarteroni A., CardiovascularMathematics, Springer, 2009.

  20. Webpage

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