title: Transcriptional delay stabilizes bistable gene networks.
abstract: Transcriptional delay can significantly impact the dynamics of gene networks. Here we examine how such delay affects bistable systems. We investigate several stochastic models of bistable gene networks and find that increasing delay dramatically increases the mean residence times near stable states. To explain this, we introduce a non-Markovian, analytically tractable reduced model. The model shows that stabilization is the consequence of an increased number of failed transitions between stable states. Each of the bistable systems that we simulate behaves in this manner.
authors: Department of Mathematics, University of Houston, Houston, Texas 77004, USA.
authors: Chinmaya
authors: C
authors: Gupta
authors: José Manuel
authors: JM
authors: López
authors: William
authors: W
authors: Ott
authors: Krešimir
authors: K
authors: Josić
authors: Matthew R
authors: MR
authors: Bennett
mesh_terms: D000465:Algorithms; D005786:Gene Expression Regulation; D053263:Gene Regulatory Networks; D008957:Models, Genetic; D014158:Transcription, Genetic
references: Biophys J. 2001 Dec;81(6):3116-36
references: 11720979
references: Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Sep;80(3 Pt 1):031129
references: 19905084
references: Science. 2004 Sep 10;305(5690):1622-5
references: 15308767
references: Am J Physiol. 1999 Oct;277(4):C777-90
references: 10516108
references: PLoS Comput Biol. 2012;8(4):e1002480
references: 22511863
references: J Math Biol. 2008 Nov;57(5):613-48
references: 18449541
references: PLoS One. 2008 Aug 13;3(8):e2972
references: 18698420
references: Nature. 2004 Feb 19;427(6976):737-40
references: 14973486
references: Curr Biol. 2003 Aug 19;13(16):1398-408
references: 12932323
references: Phys Rev Lett. 2003 Jan 17;90(2):020601
references: 12570531
references: J Phys Chem B. 2005 Apr 14;109(14):6812-23
references: 16851767
references: Nature. 2000 Jan 20;403(6767):339-42
references: 10659857
references: Proc Natl Acad Sci U S A. 2005 Oct 11;102(41):14593-8
references: 16199522
references: Curr Biol. 2003 Aug 19;13(16):1409-13
references: 12932324
references: Proc Natl Acad Sci U S A. 2011 Jun 14;108(24):10016-21
references: 21617094
references: Cell. 2011 Jan 21;144(2):268-81
references: 21236481
references: PLoS Comput Biol. 2011 Nov;7(11):e1002264
references: 22102802
references: Biophys J. 2002 Nov;83(5):2349-59
references: 12414672
references: Phys Rev Lett. 2009 Feb 13;102(6):068105
references: 19257639
references: Science. 1995 Aug 4;269(5224):650-6
references: 7624793
references: Phys Rev Lett. 2002 Jan 28;88(4):048101
references: 11801174
references: Nonlinearity. 2009 Dec;22(12):2845-2859
references: 20592956
references: Proc Natl Acad Sci U S A. 2010 May 4;107(18):8171-6
references: 20404196
references: Phys Rev Lett. 2001 Dec 17;87(25):250602
references: 11736552
references: J Theor Biol. 2004 Nov 7;231(1):23-38
references: 15363927
references: Biochemistry. 1981 Nov 24;20(24):6929-48
references: 7317363
references: Adv Enzyme Regul. 1965;3:425-38
references: 5861813
references: Mol Microbiol. 2010 Apr;76(2):428-36
references: 20345668
references: Nature. 2008 Nov 27;456(7221):516-9
references: 18971928
references: BMC Syst Biol. 2012 Jun 14;6:66
references: 22697466
references: Nature. 2009 Jan 15;457(7227):309-12
references: 19148099