MATH 8410 - Mathematical Biology
Content of this page:
Develop an understanding of some advanced mathematical and computational techniques required to study topics in mathematical biology, through an extensive exploration of problems in two specific topic areas: demography and cellular biology.
We will meet Wednesdays, in 527 Buller, from 14:30 to 17:00.
Articles and notes will be handed out during lectures.
4 marked assignments (2 with each instructor).
Demography (J. Arino)
- Malthus' law, the logistic equation (slides)
- The logistic map (slides)
- Age-structure in discrete time, strong and weak ergodic theorems of demography (slides)
- Age-structure in continuous-time, McKendrick-Von Foerster model (slides)
- Delay models (slides)
- Stochastic models (slides)
Cell Biology (S. Portet)
Michaelis-Menten (Quasi-equilibrium, slow-fast systems), Cooperative reactions, Activator-Inhibitor systems (+ diffusion), Patterns formation, Active and passive cell motion (chemotaxis, haptotaxis..).
Material is available in the private area.