Dynamical robustness of biological networks with hierarchical distribution of time scales - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IET Systems Biology Year : 2007

Dynamical robustness of biological networks with hierarchical distribution of time scales

Abstract

We analyze the concepts of distributed robustness and r-robustness proposed by biologists to explain a variety of stability phenomena in molecular biology. Then we discuss the robustness of the relaxation time using a chemical reaction description of genetic and signalling networks. First, we obtain the following result for linear networks: for large multiscale systems with hierarchical distribution of time scales the variance of the inverse relaxation time (as well as the variance of the stationary rate) is much lower than the variance of the separate constants. Moreover, it can tend to 0 faster than 1/n, where n is the number of reactions. We argue that similar phenomena are valid in the nonlinear case as well. As a numerical illustration we use a model of signalling network for the important transcription factor NFkB
No file

Dates and versions

inria-00181450 , version 1 (23-10-2007)

Identifiers

  • HAL Id : inria-00181450 , version 1

Cite

Alexander N. Gorban, Ovidiu Radulescu. Dynamical robustness of biological networks with hierarchical distribution of time scales. IET Systems Biology, 2007. ⟨inria-00181450⟩
251 View
0 Download

Share

Gmail Facebook Twitter LinkedIn More