1. Systems and physiological models
Organs, functions and other components of living organisms as systems and simulations used for their study. The interest of the models in the study of flows of matter, energy and information in biological systems.
2. Mass transport across membranes
Functional models of membrane. The diffusion of solutes and water transport. Nernst-Plank and Goldman equations. Donnan membrane.
3. Electric potential to the surface
Electric dipoles. Potential created by an electric dipole at an outside point. Electrically charged membranes. Double electric layer and potential created at an outside point P. Potential created by fibers during the depolarization. Fictitious dipole. Surface potentials. Electrocardiogram.
4. Compartmental analysis
Deterministic models of one and two compartments. Stochastic systems. Tracers, volume and flow in distribution systems. Frequency function of transit times.
Bibliography of reference
1. Modeling and Simulation in Medicine and the Life Sciences, Frank C. Hoppensteadt, Charles S. Peskin, Springer, 2000.
2. - Biofísica Médica. JJ Pedroso de Lima. Universidade de Coimbra, 2003
3. - Intermediate Physics for Medicine and Biology (Biological and Medical Physics, Biomedical Engineering). Russell K. Hobbie, Brad Roth. Springer, 2007