Subjects

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Simple Mathematical Models in Biology II - NMOD209

Title:	Jednoduché matematické modely v biologii II
Guaranteed by:	Institute of Mathematics CAS (32-MUAV)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2022
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, Ex [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:	course can be enrolled in outside the study plan

Classification:	Mathematics > Differential Equations, Potential Theory
Is incompatible with:	NMMO594

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: G_M (16.05.2011)

The lecture will focus on bifurcations of "spatial patterns" in reaction-diffusion systems with interpretation in models of morphogenesis. Open problems of various complexity will be formulated.

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)

Reaction-diffusion systems of activator-inhibitor type.

Destabilizing effect of diffusion, domains of stability and instability.

Bifurcation of stationary spatially non-homogeneous solutions (spatial patterns).

Application - pigmentation of mammalians, models of angiogenesis playing (between others) a role in the study of tumors.