Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-84-11-K-7

Biomathematics (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State [NORM] Active

Contents

  • 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.

Literature

  • 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.

Materials

Further literature will be announced in the lecture.

Registration

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.

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-84-11-K-7]

Module Name Context
[MAT-84-11-M-7] Biomathematics P: Obligatory 4V+2U, 9.0 LP