Simple mathematical models in biology 2 - NMMO594
Title: Jednoduché matematické modely v biologii 2
Guaranteed by: Institute of Mathematics CAS (32-MUAV)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
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: not taught
Language: Czech
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
Guarantor: prof. RNDr. Milan Kučera, DrSc.
Classification: Mathematics > Differential Equations, Potential Theory
Incompatibility : NMOD209
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Annotation -
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.
Last update: T_KMA (26.04.2013)
Literature -

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

Last update: T_KMA (26.04.2013)
Syllabus -

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.

Last update: T_KMA (26.04.2013)