Author(s): Tabaka, Marcin and Holyst, Robert
Title: Binary and graded evolution in time in a simple model of gene induction
Abstract: We solve analytically the model of gene expression induction which of three steps: gene activation, gene products synthesis, and degradation. The solution is given as a time-dependent distribution for gene products. Following the distribution time from the inactive state of the gene to the stationary state we binary or graded response depending solely on the ratio r of the activation rate to the rate of the gene product degradation. If r 1 the response is binary and the continuous transition from binary to
Journal: PHYSICAL REVIEW E
Volume: 82
ID: ISI:000283926300005
Year: 2010
DOI: 10.1103/PhysRevE.82.052902