250170 SE Models from Biomathematics (2005W)
Models from Biomathematics
Continuous assessment of course work
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Language: German
Lecturers
Classes (iCal) - next class is marked with N
Tuesday
18.10.
11:00 - 12:00
Seminarraum
Wednesday
19.10.
11:00 - 12:00
Seminarraum
Tuesday
25.10.
11:00 - 12:00
Seminarraum
Tuesday
08.11.
11:00 - 12:00
Seminarraum
Wednesday
09.11.
11:00 - 12:00
Seminarraum
Tuesday
15.11.
11:00 - 12:00
Seminarraum
Wednesday
16.11.
11:00 - 12:00
Seminarraum
Tuesday
22.11.
11:00 - 12:00
Seminarraum
Wednesday
23.11.
11:00 - 12:00
Seminarraum
Tuesday
29.11.
11:00 - 12:00
Seminarraum
Wednesday
30.11.
11:00 - 12:00
Seminarraum
Tuesday
06.12.
11:00 - 12:00
Seminarraum
Wednesday
07.12.
11:00 - 12:00
Seminarraum
Tuesday
13.12.
11:00 - 12:00
Seminarraum
Wednesday
14.12.
11:00 - 12:00
Seminarraum
Tuesday
10.01.
11:00 - 12:00
Seminarraum
Wednesday
11.01.
11:00 - 12:00
Seminarraum
Tuesday
17.01.
11:00 - 12:00
Seminarraum
Wednesday
18.01.
11:00 - 12:00
Seminarraum
Tuesday
24.01.
11:00 - 12:00
Seminarraum
Wednesday
25.01.
11:00 - 12:00
Seminarraum
Tuesday
31.01.
11:00 - 12:00
Seminarraum
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Assessment and permitted materials
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Association in the course directory
Last modified: Mo 07.09.2020 15:40
Among other interesting features, these systems lead to selforganizat. phenomena, which exhibit interesting spatial patterns. As an example, here an interacting particle system modelling the social behaviour of ants is proposed, based on a system of stochastic differential equations, driven by social aggregating/repelling "forces". Specific reference to species observed in will be made. Extensions to models of chemotaxis, such as tumor driven angiogenesis will also be presented, in which the so called organizat. process is driven by an underlying biochemical field, strongly coupled with the spatial/geometric structure of the growing tumor. Current interest concerns how do properties on the macroscopic level depend on interactions at the microscopic level. Among the scopes of the seminar, a relevant one is to show how to bridge different scales at which biological processes evolve; in particular suitable "laws of large numbers" are shown to imply convergence of the evolution equations for empirical spatial distributions of interacting individuals to nonlinear reaction-diffusion equations for a so called mean field, as the total number of individuals becomes sufficiently large. We will see how by rather simple models based on stochastic differential equations we may gain remarkable insight in the behaviour of complex systems.