DYNAMICAL BIOLOGICAL SYSTEMS (Verrelli Cristiano Maria, verrelli@ing.uniroma2.it, 06 7259 7410)
TUTOR-GUIDED FORMATION ACTIVITY (8 credits)
Dynamical systems theory can be successfully used to gain profound insight into the control mechanisms, bifurcation
phenomena, complexities and subtleties in biology and physiological processes. Tutor-guided individual projects
(including computer simulations) invite an intensive participation and encourage the involvement in learning the
fundamental mathematical modeling and analysis techniques for deepening the understanding of biological systems.
The project may concern one of the following topics.

Population dynamics
- L. Edelstein-Keshet, Mathematical models in biology, Siam, 2005.
- J. D. Murray, Mathematical biology I, Springer, 2003.
- D. S. Jones, M. J. Plank, B. D. Sleeman, Differential equations and mathematical biology, CRC press, 2010.
- N. Boccara, Modeling complex systems, Springer, 2010.
- F. C. Hoppensteadt, C. S. Peskin, Modeling and simulation in medicine and the life sciences, Springer, 2002.
- C. H. Taubes, Modeling differential equations in biology, Cambridge University press, 2008.

Dynamics of infectious diseases
- L. Edelstein-Keshet, Mathematical models in biology, Siam, 2005.
- J. D. Murray, Mathematical biology I, Springer, 2003.
- S. P. Ellner, J. Guckenheimer, Dynamic models in biology, Princeton University press, 2006.

Mathematics of heart physiology and control
- D. S. Jones, M. J. Plank, B. D. Sleeman, Differential equations and mathematical biology, CRC press, 2010.
- J. Keener, J. Sneyd, Mathematical physiology, Springer, 2004.
- M. C. K. Khoo, Physiological control systems, IEEE press, 2000.

Mathematics for glucose regulation control
- J. Keener, J. Sneyd, Mathematical physiology, Springer, 2004.
- M. C. K. Khoo, Physiological control systems, IEEE press, 2000.

Excitable systems and bifurcations
- L. Edelstein-Keshet, Mathematical models in biology, Siam, 2005.
- E. M. Izhikevich, Dynamical systems in neuroscience, MIT press, 2007.
- G. B. Ermentrout, D. H. Terman, Mathematical foundations of neuroscience, Springer, 2010.
- A. Beuter, L. Glass, M. C. Mackey, M. S. Titcombe, Nonlinear dynamics in physiology and medicine, Springer,
2003.

Development and spatial pattern formation in biological systems
- L. Edelstein-Keshet, Mathematical models in biology, Siam, 2005.
- J. D. Murray, Mathematical biology II, Springer, 2003.
- D. S. Jones, M. J. Plank, B. D. Sleeman, Differential equations and mathematical biology, CRC press, 2010.
- C. H. Taubes, Modeling differential equations in biology, Cambridge University press, 2008.

Models of biological invasion
- S. V. Petrovskii, B.-L. Li, Exactly solvable models of biological invasion, Chapman & Hall/CRC, 2006.
- S. P. Ellner, J. Guckenheimer, Dynamic models in biology, Princeton University press, 2006.
- C. H. Taubes, Modeling differential equations in biology, Cambridge University press, 2008.