Stochastic description of cellular dynamics by the chemical master equation assumes the exponential distribution of intervals between reaction events. Diffusion-limited reactions violate this assumption. Using the example of the target search we investigate the conditions under which a peaked waiting-time distribution can be approximated by the exponential function. We link the steady-state flux and the dynamic property of the diffusion, the mean first-passage time.
Additional Metadata
THEME Energy (theme 4)
Publisher Logos Verlag Berlin
Editor R. Gauges , U. Kummer , J. Pahle , P.M. Willy
ISBN 978-3-8325-1993
Project Mathematics and Computation for the System Biology of Cells
Conference Workshop on Computation of Biochemical Pathways and Genetic Networks
Citation
Dobrzynski, M. (2008). When do diffusion-limited trajectories become memoryless?. In R Gauges, U Kummer, J Pahle, & P.M Willy (Eds.), . Logos Verlag Berlin.