Excitable media; wave propagation in neurons.

Calcium dynamics: calcium-induced calcium release. Intracellular oscillations and wave propagation.

The electrochemical action of the heart. Spiral waves, tachycardia and fibrillation. The heart as a pump. Regulation of blood flow.

Respiration and CO_2 control. Mackey and Grodins models.

Regulation of stem cell and blood cell production. Dynamical diseases.

- Review of enzyme reactions and Michaelis-Menten theory.
- Membrane transport.
- Hodgkin-Huxley model.
- Phase plane analysis: Fitzhugh-Nagumo model.
- Wave propagation.
- Calcium dynamics.
- Calcium waves.
- Spiral waves.
- The heart as a pump.
- A model of the circulation.
- Nervous control of heart rate.
- Respiratory control.
- The Mackey-Glass model.
- The Grodins model.
- Blood cell production.
- Stem cell control model.

- Problem sheets. These are
now ready (16/1/06). I may add in some other questions later which
can be used in revision.
**The classes are now up in Minerva.** - Lecture notes These are now available. They are still incomplete in parts but will be updated as time permits.

- Keener, J. and J. Sneyd 1998 Mathematical
physiology. Chs. 1,4,5,9-12,14-17. Springer-Verlag.
Subsidiary mathematical texts are

- Murray, J.D. Mathematical biology. Springer-Verlag, 2nd ed., 1993.
- Segel, L.A. Modeling dynamic phenomena in molecular and cellular biology. CUP, 1984.
- Glass, L. and M.C. Mackey 1988 From clocks to chaos. Princeton University Press.
- Grindrod, P. 1991 Patterns and waves. Oxford University Press.
General physiology texts are

- Berne, R. M. and M. N. Levy 1996 Principles of physiology, 2nd ed. Mosby, St.\ Louis.
- Levick, J. R. 2000 An introduction to cardiovascular physiology, 3rd ed. Butterworth-Heinemann, Oxford.
- Guyton, A. C. and J. E. Hall 2000 Textbook of medical physiology, 10th ed. W. B. Saunders Co., Philadelphia.

The principal text is