2004/03/15 by Xiao Zhu, X. -M. Zhu, Lan Yin +9 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Gene Regulatory Network Analysis #Protein Structure and Dynamics #cond-mat.stat-mech #nlin.AO #q-bio.MN #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.q-bio/0403016
31 pages
arxiv created 2004/03/15 · arxiv updated 2009/12/01
Based on our physical and biological studies we have recently developed a mathematical framework for the analysis of nonlnear dynamics. We call this framework the dynamical structure analysis. It has four dynamical elements: potential landscape, transverse matrix, descendant matrix, and stochastic drive. In particular, the importance and the existence of the potential landscape is emphasized. The dynamical structure analysis is illustrated in detail by the study of stability, robustness, and efficiency of the simplest gene regulatory network of phage lambda.