Mathematical Models in Biology 1

Lecturer (assistant)
Number240542364
TypeLecture
Duration4 SWS
TermWintersemester 2019/20
Language of instructionGerman
Position within curriculaSee TUMonline
DatesSee TUMonline

Dates

Admission information

Objectives

After successful completion of the module, the student is able to evaluate the connection of different results related to different model approaches (stochastic/deterministic, discrete/continuous) and to choose the appropriate level for the description of the system under observation. Furthermore they are able to formulate mathematical models for biological systems on the basis of analytic, stochastic or discrete mathematical structures.

Description

Introduction in theory and application of dynamical systems and stochastic processes: linear compartmental models, Markov-chains, Galton-Watson processes, birth-death-processes, population models, spatial models and age structured models. The emphasis of the module is to teach the understanding of the importance for different model approaches for one single biological system.

Prerequisites

MA1001 Analysis 1, MA1002 Analysis 2, MA1101 Linear Algebra 1, MA1102 Linear Algebra 2, MA1401 Introduction to Probability Theory

Recommended literature

J.D. Murray, Mathematical Biology. Springer-Verlag, 3rd ed. in 2 vols.: Mathematical Biology: I. An Introduction, 2002; Mathematical Biology: II. Spatial Models and Biomedical Applications, 2003; P. Jagers: Branching Processes With Biological Applications. Wiley, London 1975

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