The transition between stochastic and deterministic behavior in an excitable gene circuit.

The transition between stochastic and deterministic behavior in an excitable gene circuit.

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 dramat...

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Bibliographic Details
Main Authors: Robert C Hilborn, Benjamin Brookshire, Jenna Mattingly, Anusha Purushotham, Anuraag Sharma
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2012-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC3324528?pdf=render
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spelling doaj-b575120c85314b0db033b065936a04df2020-11-25T01:47:20ZengPublic Library of Science (PLoS)PLoS ONE1932-62032012-01-0174e3453610.1371/journal.pone.0034536The transition between stochastic and deterministic behavior in an excitable gene circuit.Robert C HilbornBenjamin BrookshireJenna MattinglyAnusha PurushothamAnuraag SharmaWe 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.http://europepmc.org/articles/PMC3324528?pdf=render
collection DOAJ
language English
format Article
sources DOAJ
author Robert C Hilborn
Benjamin Brookshire
Jenna Mattingly
Anusha Purushotham
Anuraag Sharma
spellingShingle Robert C Hilborn
Benjamin Brookshire
Jenna Mattingly
Anusha Purushotham
Anuraag Sharma
The transition between stochastic and deterministic behavior in an excitable gene circuit.
PLoS ONE
author_facet Robert C Hilborn
Benjamin Brookshire
Jenna Mattingly
Anusha Purushotham
Anuraag Sharma
author_sort Robert C Hilborn
title The transition between stochastic and deterministic behavior in an excitable gene circuit.
title_short The transition between stochastic and deterministic behavior in an excitable gene circuit.
title_full The transition between stochastic and deterministic behavior in an excitable gene circuit.
title_fullStr The transition between stochastic and deterministic behavior in an excitable gene circuit.
title_full_unstemmed The transition between stochastic and deterministic behavior in an excitable gene circuit.
title_sort transition between stochastic and deterministic behavior in an excitable gene circuit.
publisher Public Library of Science (PLoS)
series PLoS ONE
issn 1932-6203
publishDate 2012-01-01
description 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.
url http://europepmc.org/articles/PMC3324528?pdf=render
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