227-0684-00L | ||
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Professor(en): H. Koeppl |
Betreuer: E. August, A. Ganguly, M. Unger, P. Nandy | |
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Vorlesung: |
Link zum Kurskatalog Frühling 2013 |
Webseite: |
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Ziele: After successful completion of the course the student will be able to derive computational models from experimental facts; he will be acquainted with the basics of molecular cell biology; he will know what model formulation to chose that best fits the data situation. |
Vorlesungslevel: D-ITET Master, Systems and Control specialization Recommended Core Courses | |
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Voraussetzungen: | ||
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Inhalt: 1. Basics of molecular cell biology 2. Reaction rate equations: Basics of nonlinear differential equations, and population models, Lyapunov stability, stoichiometric formulation, stoichiometry analysis. 3. Stochastic analysis: Markov process basics, Master equation, Omega expansions, Fokker-Planck equation, linear noise approximation, moment closures, Langevin, simulation algorithms, Gillespie, tau-leaping, SDE integration. 4. Spatial simulations: Smoluchowski diffusion model, Compartment models, spatial Gillespie, Greens functions reaction dynamics, mesh methods. 5. Parameter inference, system identification: ODE identification, Markov process inference, Markov Chain Monte Carlo methods, sequential Monte Carlo, optimal experimental design. 6. Computer science models: Petri nets, rule-based models, finite state automata, hybrid automata, boolean models, fuzzy models. |
Dokumentation: | |