Synchronized switching induced by colored noise in the genetic toggle switch systems coupled by quorum sensing mechanism

It is well known that white noise can induce switch behaviors in bistable systems. However, recent experimental observation shows that extrinsic fluctuation in gene regulation networks has an autocorrelation time. That is, the extrinsic noise is colored. This paper aims at investigating the synchronized switching behaviors induced by colored noise in the genetic toggle switch systems coupled by quorum sensing (QS) mechanism. Compared with the white noise case, our results indicate: i) Colored noise has the optimal extrinsic noise strength for inducing the best synchronized switching; ii) Colored noise is much more prone to promote population synchronization while white noise is good at switch behavior; iii) Colored noise can accelerate protein production. These results are very useful for experimental scientists. Moreover, it sheds some light on potential clinical applications in gene therapy, artificial organisms design, and so on.

[1]  Julien F. Ollivier,et al.  Colored extrinsic fluctuations and stochastic gene expression , 2008, Molecular systems biology.

[2]  Ofer Biham,et al.  Stochastic simulations of genetic switch systems. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  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.

[4]  K. Burrage,et al.  Stochastic models for regulatory networks of the genetic toggle switch. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[5]  D. A. Baxter,et al.  Mathematical Modeling of Gene Networks , 2000, Neuron.

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

[7]  Giovanni Russo,et al.  Global convergence of quorum-sensing networks. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  D. Sherrington Stochastic Processes in Physics and Chemistry , 1983 .

[9]  E. Greenberg,et al.  Census and consensus in bacterial ecosystems: the LuxR-LuxI family of quorum-sensing transcriptional regulators. , 1996, Annual review of microbiology.

[10]  J. Ferrell,et al.  Bistability in the JNK cascade , 2001, Current Biology.

[11]  K. Aihara,et al.  Molecular communication through stochastic synchronization induced by extracellular fluctuations. , 2005, Physical review letters.

[12]  P. Swain,et al.  Gene Regulation at the Single-Cell Level , 2005, Science.

[13]  J E Ferrell,et al.  The biochemical basis of an all-or-none cell fate switch in Xenopus oocytes. , 1998, Science.

[14]  A. Mikhailov,et al.  Entrainment of randomly coupled oscillator networks by a pacemaker. , 2004, Physical review letters.

[15]  Prahlad T. Ram,et al.  MAP Kinase Phosphatase As a Locus of Flexibility in a Mitogen-Activated Protein Kinase Signaling Network , 2002, Science.

[16]  M Laurent,et al.  Multistability: a major means of differentiation and evolution in biological systems. , 1999, Trends in biochemical sciences.

[17]  Ofer Biham,et al.  Genetic toggle switch without cooperative binding. , 2006, Physical review letters.

[18]  Jiajun Zhang,et al.  Noise-induced switches in network systems of the genetic toggle switch , 2007, BMC Systems Biology.

[19]  A. Arkin,et al.  Stochastic kinetic analysis of developmental pathway bifurcation in phage lambda-infected Escherichia coli cells. , 1998, Genetics.

[20]  Nancy Kopell,et al.  Synchrony in a Population of Hysteresis-Based Genetic Oscillators , 2004, SIAM J. Appl. Math..

[21]  E. Wimmer,et al.  MAP Kinase Phosphatase As a Locus of Flexibility in a Mitogen-Activated Protein Kinase Signaling Network , 2022 .

[22]  J. Hasty,et al.  Synchronizing genetic relaxation oscillators by intercell signaling , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Jinzhi Lei,et al.  Stochasticity in single gene expression with both intrinsic noise and fluctuation in kinetic parameters. , 2009, Journal of theoretical biology.

[24]  M. Ptashne A genetic switch : phage λ and higher organisms , 1992 .

[25]  Raúl Toral,et al.  Diversity-induced resonance. , 2006, Physical review letters.

[26]  Jeff Hasty,et al.  Designer gene networks: Towards fundamental cellular control. , 2001, Chaos.