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Mathematics-Biology seminar - NMOD210

Title:	Matematicko-biologický seminář
Guaranteed by:	Institute of Mathematics CAS (32-MUAV)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2013 to 2021
Semester:	both
E-Credits:	3
Hours per week, examination:	0/2, C [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Note:	you can enroll for the course repeatedly you can enroll for the course in winter and in summer semester

Class:	DS, matematická analýza
Classification:	Mathematics > Differential Equations, Potential Theory, Mathematical Modeling in Physics

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Annotation -

Last update: T_KMA (09.05.2012)

General relations of mathematics and biology will be discussed. In particular, open problems concerning bifurcation and stability for differential equations and variational inequalities and their biological interpretation will be studied.

Literature -

Last update: T_KMA (14.09.2012)

J. D. Murray: Mathematical Biology II. Spatial

Models and Biomedical Applications, Third Edition, Springer 2003

Syllabus -

Last update: T_KMA (14.09.2012)

Basic Turing’s ideas - diffusion driven instability, bifurcation of spatial patterns.

Applications in biology and medicine, in particular pigmentation of animals and angiogenesis playing a role (between others) also in a study of tumors.

Influence of unilateral sources to stability and bifurcation of stationary solutions and their interpretation in applications.

Discussion of up-to-date results.