Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 43: Statistical Physics in Biological Systems III (joint DY/BP)

DY 43.2: Vortrag

Mittwoch, 9. März 2016, 15:45–16:00, H46

Population dynamics in switching environments — •Peter Hufton, Yen Ting Lin, Tobias Galla, and Alan McKane — School of Physics and Astronomy, The University of Manchester, Manchester, UK

In gene regulatory networks, the binary state of a single gene can have drastic effects on the dynamics of a population of proteins. Similarly, switches between environmental states are important in bacterial populations and in models of epidemic spread. The mathematical treatment of problems of this type---populations in switching environments---is an open challenge. We present a systematic approach to computing stationary states of these problems. We identify two sources of randomness: the stochasticity from environmental switches, and the intrinsic noise from fluctuations in the population. By extending the linear-noise approximation and utilising a piecewise-deterministic Markov process, we develop a method which incorporates both these effects.