Biomathematics (4V+2U, 9.0 LP)
|SWS||Type||Course Form||CP (Effort)||Presence-Time / Self-Study|
|-||K||Lecture with exercise classes (V/U)||9.0 CP||186 h|
|2||U||Exercise class (in small groups)||28 h|
|(4V+2U)||9.0 CP||84 h||186 h|
- qualitative analysis of ordinary differential equations, nondimensionalization, stability and bifurcation.Applications: enzyme kinetics due to the Law of mass action, population interaction models (e.g.predator-prey model, cooperation/symbiosis, concurrence),
- diffusion and transport processes, random walks and partial differential equations;· traveling waves, perturbation solutions, similarity solutions, asymptotic methods,
- reaction-diffusion (transport) equations, chemo- and haptotaxis as cell migrations,
- comparison principles, invariant sets and global solvability,
- structured population models,
- kinetic transport equations for cell migration problems, macroscopic scaling. Applications: Pattern formation in animals, cancer cell invasion and migration of tumor cells throughtissue networks, epidermal wound healing.
- J.D. Murray: Mathematical Biology I, II,
- S.H. Strogatz: Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering,
- J. Smoller: Shock Waves and Reaction-Diffusion Equations.
Further literature will be announced in the lecture.
Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).
Requirements for attendance (informal)
Additional knowledge from the module [MAT-80-11B-M-4] is useful but not necessarily required.
- [MAT-10-1-M-2] Fundamentals of Mathematics (M, 28.0 LP)
- [MAT-80-11A-M-4] Numerics of ODE (M, 4.5 LP)
Requirements for attendance (formal)
References to Course [MAT-84-11-K-7]
|[MAT-84-11-M-7]||Biomathematics||P: Obligatory||4V+2U, 9.0 LP|