Noise in Genetic Toggle Switch Models

Summary In this paper we study the intrinsic noise effect on the switching behavior of a simple genetic circuit corresponding to the genetic toggle switch model. The numerical results obtained from a noisy mean-field model are compared to those obtained from the stochastic Gillespie simulation of the corresponding system of chemical reactions. Our results show that by using a two step reaction approach for modeling the transcription and translation processes one can make the system to lock in one of the steady states for exponentially long times.

[1]  Andrzej M. Kierzek,et al.  STOCKS: STOChastic Kinetic Simulations of biochemical systems with Gillespie algorithm , 2002, Bioinform..

[2]  David McMillen,et al.  Biochemical Network Stochastic Simulator (BioNetS): software for stochastic modeling of biochemical networks , 2004, BMC Bioinformatics.

[3]  D. Gillespie.  Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .

[4]  T. Kepler,et al.  Stochasticity in transcriptional regulation: origins, consequences, and mathematical representations. , 2001, Biophysical journal.

[5]  J. Collins,et al.  Construction of a genetic toggle switch in Escherichia coli , 2000, Nature.

[6]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[7]  Ping Ao,et al.  Noise in a small genetic circuit that undergoes bifurcation , 2005, Complex..

[8]  K. Sneppen,et al.  . s of t ] 1 9 O ct 2 00 0 Stability Puzzles in Phage λ , 2008 .

[9]  Ertugrul M. Ozbudak,et al.  Regulation of noise in the expression of a single gene , 2002, Nature Genetics.

[10]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[11]  P. Swain,et al.  Stochastic Gene Expression in a Single Cell , 2002, Science.

[12]  P. R. ten Wolde,et al.  Enhancement of the stability of genetic switches by overlapping upstream regulatory domains. , 2003, Physical review letters.

[13]  N. Kampen,et al.  Stochastic processes in physics and chemistry , 1981 .

[15]  J. Hasty,et al.  Noise-based switches and amplifiers for gene expression. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[16]  A. Arkin,et al.  Stochastic mechanisms in gene expression. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[17]  I. Ross,et al.  Transcription of individual genes in eukaryotic cells occurs randomly and infrequently , 1994, Immunology and cell biology.