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# Applications of Mathematical Biology

## Module MA3602

This Module is offered by TUM Department of Mathematics.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

### Module version of WS 2021/2 (current)

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
WS 2021/2SS 2020WS 2018/9SS 2012WS 2011/2

### Basic Information

MA3602 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

• Catalogue of non-physics elective courses
270 h 90 h 9 CP

### Content, Learning Outcome and Preconditions

#### Content

Basics in mathematical methods: nonlinear dynamics and bifurcation theory, singular perturbation theory, basic elements of stochastic processes. Most important/common mathematical models in: ecology, biochemistry, regulatory pathways, neuronal sciences and population genetics.

#### Learning Outcome

Upon successful completion of the module, students are able to read most articles from biomathematical journals, to perform a basic literature research and know the most important data bases to search for biomathematical papers. Finally, students are able to approach a given problem, know the standard models and adapt them to the problem under consideration.

#### Preconditions

MA0001/MA1001 Analysis 1, MA0002/MA1002 Analysis 2, MA1101/MA0004 Linear Algebra and Discrete Structures 1 (recommended: MA1102/MA0005 Linear Algebra and Discrete Structures 2, MA1401 Introduction to Probability Theory (or MA0009 Introduction to Probability and Statistics), MA3601 Mathematical Models in Biology, MA3080 Introduction to Nonlinear Dynamics)

### Courses, Learning and Teaching Methods and Literature

#### Courses and Schedule

VO 4 Advanced Mathematical Biology Kuttler, C. Tue, 10:15–11:45, MI 03.10.011
Thu, 10:15–11:45, MI 03.10.011
eLearning
UE 2 Exercises for Acvanced Mathematical Biology Kuttler, C. dates in groups

#### Learning and Teaching Methods

The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should motivate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress.

lecture notes

#### Literature

J.D. Murray, Mathematical Biology: I. An Introduction, Springer-Verlag, 2002.
J.D. Murray, Mathematical Biology: II. Spatial Models and Biomedical Applications, Springer-Verlag, 2003.

### Module Exam

#### Description of exams and course work

The module examination is based on a written exam (60-90 minutes) or an oral exam (30 minutes), depending on the number of attendants. Students have to understand basic concepts and models of biomathematics and can adequately apply them to biomathematical problems.

#### Exam Repetition

The exam may be repeated at the end of the semester.

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