title: The transition between stochastic and deterministic behavior in an excitable gene circuit.
abstract: We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations. Near a bifurcation point in the ODE model, the stochastic simulation model yields behavior dramatically different from that predicted by the ODE model. We analyze how that behavior depends on the gene copy number and find very slow convergence to the large number limit near the bifurcation point. The implications for understanding the dynamics of gene circuits and other birth-death dynamical systems with small numbers of constituents are discussed.
authors.affiliation: The University of Texas at Dallas, Richardson, Texas, United States of America. rhilborn@aapt.org
authors.forename: Robert C
authors.initials: RC
authors.lastname: Hilborn
authors.forename: Benjamin
authors.initials: B
authors.lastname: Brookshire
authors.forename: Jenna
authors.initials: J
authors.lastname: Mattingly
authors.forename: Anusha
authors.initials: A
authors.lastname: Purushotham
authors.forename: Anuraag
authors.initials: A
authors.lastname: Sharma
mesh_terms: D056915:DNA Copy Number Variations / Q000235:genetics; D053263:Gene Regulatory Networks / Q000235:genetics*; D008957:Models, Genetic; D013269:Stochastic Processes; D014158:Transcription, Genetic / Q000235:genetics