Structure and function of biological cells, Types of tissues, Hierarchial structure of tissues, Human circulatory system, Lung physiology, Skeletal physiology.
Continuum kinematics, Constitutive relationships for fluid & solid stress, Navier Stokes Equation, Generalized Hooke’s law, Potential flow theory, Vortex dynamics Swimming and flying: S callop theorem.
Resistive force theory, Motion of flagellum, Swimming of flexible sheet, small amplitude, swimming of fish, Steady flight, Soaring of birds, Clap and fling mechanism for insect flight.
Blood flow in human body - Blood rheology, Flow through arteries and veins, Wave propagation in arterial circulation, Flow separation in bifurcations, Pulsatile flow, Cardiac cycle, Heart motion, Heart valve function, Disease conditions, Microcirculation physiology,
Pressure and velocity distribution in microcirculation beds, Hematocrit/FahraeusLindquist Effect/Fahraeus Effect, Interactions between cells and vessel walls.
Mass transport in microcirculation Flow in lungs and joints – Pressure volume relationship for air flow in lungs, Oxygen/CO2 diffusion, Oxygen/CO 2 transport in blood.
Darcy’s law, Matrix material and fluid incompressibility constraints, Undrained elastic coefficients, Basic equations for poroelasticity, Compression of a fluid filled anisotropic disc, Poroelastic modeling of tissues, Modeling array of cilia
P.K. Kundu, D. R. Dowling and I. M. Cohen. "Fluid Mechanics". Elsevier Science, USA, 2011
D. Rubenstein, W. Yin, M. D. Frame. “Biofluid Mechanics: An Introduction to Fluid Mechanics, Microcirculation”. Academic Press, USA, 2015
J.N. Mazumdar, “Biofluid mechanics”, World Scientific, Singapore, 1992
M.J. Lighthill, “Mathematical Biofluid dynamics”, Society for Industrial & Applied Mathematics, USA, 1975
W. Shyy, Y. Lian, J. Tang, D. Viieru, H. Liu, “Aerodynamics of Low Reynolds Number Flyers”, Cambridge University Press, New York, USA 2007
S.C. Cowin, S.B. Doty, “Tissue Mechanics”, Springer Science and Business Media, 2007
Y.C. Fung, “Biodynamics: Circulation”, Springer-Verlag, New York, USA, 1984
Name(s) of other Academic units to whom the course may be relevant