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Instructors: Univ.-Prof. Dr. Peter Spichtinger
Event type:
online: Lecture
Displayed in timetable as:
08.110.8005
Hours per week:
2
Credits:
3,0
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Requirements / organisational issues:
Prerequisites:
- Lecture Modeling with Ordinary Differential Equations or equivalent prior knowledge of the theory and numerics of dynamical systems
- Interest in scientific modeling
Contents:
Stochastic modeling of reaction and diffusion processes
In addition to the classical deterministic approaches using ordinary and partial differential equations, modeling of chemical reactions and diffusion can also be carried out by means of stochastic processes. In particular, reaction kinetics can be well described. For diffusion, classical approaches (random walk) can be considered.
In the lecture, an insight into the essential concepts for the stochastic simulation of chemical reactions (in a broader sense) and diffusion processes will be given. Algorithms for the treatment of the processes (e.g. Gillespie algorithm) will be presented with many examples. Furthermore, the theory is discussed and, if possible, comparisons to deterministic descriptions are given.
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