Signal Propagation in Nonlinear Stochastic Gene Regulatory Networks
Abstract
Description
The structure of a stochastic nonlinear gene regulatory network is uncovered by studying its response to input signal generators. Four applications are studied in detail: a nonlinear connection of two linear systems, the design of a logic pulse, a molecular amplifier and the interference of three signal generators in E2F1 regulatory element. The gene interactions are presented using molecular diagrams that have a precise mathematical structure and retain the biological meaning of the processes.
45 pages, 14 figures, Excerpts from this manuscript were presented at the 3rd International Conference on Pathways, Networks, and Systems: Theory and Experiments, October 2-7, Rhodes Greece 2005. A reduced version was submitted on May 24th 2005 to IEE Systems Biology. High quality figures at http://www.cbgm.mcg.edu/signal.pdf
45 pages, 14 figures, Excerpts from this manuscript were presented at the 3rd International Conference on Pathways, Networks, and Systems: Theory and Experiments, October 2-7, Rhodes Greece 2005. A reduced version was submitted on May 24th 2005 to IEE Systems Biology. High quality figures at http://www.cbgm.mcg.edu/signal.pdf