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Seminar on bifurcations and their interpretations in biology - NMMO591

Title:	Seminář z bifurkací a jejich interpretací v biologii
Guaranteed by:	Institute of Mathematics CAS (32-MUAV)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
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:	cancelled
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 (26.04.2013)

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 (26.04.2013)

J. D. Murray: Mathematical Biology II. Spatial Models and Biomedical Applications. Third Edition, Springer 2003.

Syllabus -

Last update: T_KMA (26.04.2013)

Bifurcation for variational inequalities and related problems.

Reaction-diffusion systems, influence of diffusion to stability of stationary solutions (spatial patterns).

Stabilizing and destabilizing effect of unilateral conditions.

Interpretation in biology.

Discussion of up-to-date results.