Physiological Systems Modeling and Simulation Federica Caselli University of Rome “Tor Vergata”...
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Transcript of Physiological Systems Modeling and Simulation Federica Caselli University of Rome “Tor Vergata”...
Physiological Systems Modeling and Simulation
Federica CaselliUniversity of Rome “Tor Vergata”
A.A. 2011/2012
Purpose of modeling
Understanding physiology
Diagnosis
Prediction
Artificial organ design
Virtual medicine
…
Modeling process:
Model formulation
Parameter identification
Model validation
Model simulation
(iterative process!)
Physiological Systems Modeling and Simulation
Examples?
Type of models
Black or gray box (data or system modeling)
Linear or nonlinear
Stationary or time-dependent
Lumped or distributed parameters (ODE or PDE)
Deterministic or stochastic
…
Biomechanics
0 100 200 300 4000
0.02
0.04
0.06
0.08
0.1
strain rate
visc
osity
[dy
n*s/
cm2]
PowerCarreauCassonMod. CassonQuaemada
Heart-lung machine
Oxygen diffusion and transport, blood flow dynamics, stress on red blood cell and haemolysis ...
Challenges
Complexity
Multiphysics & Multiscale models
Holistic approach
Growth and remodeling
Patient-Specific models
Noninvasive method for parameter identification
Computational efforts To name but a few!
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., Cardiovascular Mathematics, Springer, 2009.