When do diffusion-limited trajectories become memoryless?
Presented at the Workshop on Computation of Biochemical Pathways and Genetic Networks, Heidelberg
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.
|THEME||Energy (theme 4)|
|Publisher||Logos Verlag Berlin|
|Editor||R. Gauges , U. Kummer , J. Pahle , P.M. Willy|
|Project||Mathematics and Computation for the System Biology of Cells|
|Conference||Workshop on Computation of Biochemical Pathways and Genetic Networks|
Dobrzynski, M. (2008). When do diffusion-limited trajectories become memoryless?. In R Gauges, U Kummer, J Pahle, & P.M Willy (Eds.), . Logos Verlag Berlin.