Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-84-14-M-7

Reaction-Diffusion Equations with Applications to Biology and Medicine (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-84-14-M-7 Reaction-Diffusion Equations with Applications to Biology and Medicine 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Lecturers
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V MAT-84-14-K-7
Reaction-Diffusion Equations with Applications to Biology and Medicine
P 28 h 107 h - - PL1 4.5 irreg.
  • About [MAT-84-14-K-7]: Title: "Reaction-Diffusion Equations with Applications to Biology and Medicine"; Presence-Time: 28 h; Self-Study: 107 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86377 ("Reaction Diffusion Equations with Applications in Biology and Medicine")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

  • reaction-diffusion equations,
  • eexistence and properties of solutions,
  • applications: pattern appearance in biological systems, tumor growth (modelling and analysis),
  • integro-differential equations (structured populations).

Competencies / intended learning achievements

Upon successful completion of this module, the students have learned how to use reaction-diffusion equations to derive and to analyse mathematical models for applications in biology and medicine. They know advanced mathematical tools that are used for investigating the existence, uniqueness and characteristics of solutions, and they can apply those to practical problems. Additionally, they have gained insights into interdisciplinary questions.

Literature

  • B. Perthame: Parabolic Equations in Biology - Growth, Reaction, Movement and Diffusion,
  • L.C. Evans: Partial Differential Equations.

References to Module / Module Number [MAT-84-14-M-7]

Module-Pool Name
[MAT-81-MPOOL-7] Specialisation Partial Differential Equations (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)