Dr. Wilhelm Huisinga
Freie Unviversität Berlin
Exact simulation of hybrid models for biochemical systems
Abstract: Over the last years it has become evident that stochastic effects play an important role in biological processes leading to an increase in stochastic modelling attempts. Despite the availability of exact algorithms to numerically solve the chemical master equation that entirely describes a stochastic system, stochastic simulations are most of the times very computationally expensive. Hybrid methods that treat some processes as deterministic and others as stochastic are a promising way to speed up simulations for those cases involving different time scales, e.g., systems integrating metabolic pathways and gene regulatory networks. In this talk, we present a mathematical basis for hybrid stochastic and deterministic models, and provide easy to handle algorithmic schemes for exact simulation of such hybrid models. We finally show numerical results obtained for a model describing viral infection that illustrate the power of and the computational speed gained by the presented hybrid modelling approach.| Zeit: | Freitag, 14. Januar 2005, 14.15 Uhr (Kaffee/Tee um 15.30) |
| Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG |