title: Signal propagation in nonlinear stochastic gene regulatory networks.
abstract: The ability to build genetic circuits with a reproducible response to external stimuli depends on the experimental and theoretical methods used in the process. A theoretical formalism that describes the response of a nonlinear stochastic genetic network to the external stimuli (input signals), is proposed. Two applications are studied in detail: the design of a logic pulse and the interference of three signal generators in the 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.
authors.affiliation: Center for Biotechnology and Genomic Medicine, Medical College of Georgia, Augusta 30912, USA.
authors.forename: S
authors.initials: S
authors.lastname: Achimescu
authors.forename: O
authors.initials: O
authors.lastname: Lipan
mesh_terms: D000818:Animals; D003198:Computer Simulation; D005786:Gene Expression Regulation / Q000235:genetics*; D006801:Humans; D008957:Models, Genetic; D017711:Nonlinear Dynamics; D050436:Regulatory Elements, Transcriptional / Q000235:genetics*; D015398:Signal Transduction / Q000235:genetics*; D013269:Stochastic Processes; D014157:Transcription Factors / Q000235:genetics*; D014158:Transcription, Genetic / Q000235:genetics*; D015533:Transcriptional Activation / Q000235:genetics*
chemical_list: D014157:Transcription Factors