Anti-synchronization of coupled boolean networks

Contrary information is recorded in the process of Ribonucleic Acid transcription, which is similar to the anti-synchronization process. In this paper, the anti-synchronization of coupled Boolean networks is investigated. Firstly, the definition of anti-synchronization is introduced, and the drive-response Boolean networks dynamics are translated into linear representations with the semi-tensor product. Then, a necessary and sufficient condition is obtained for anti-synchronization of coupled Boolean networks. Finally, simulation example is presented to further illustrate the efficiency of the proposed method.

[1]  Alfredo Benso,et al.  Using Boolean networks to model post-transcriptional regulation in gene regulatory networks , 2014, J. Comput. Sci..

[2]  Daizhan Cheng,et al.  A Linear Representation of Dynamics of Boolean Networks , 2010, IEEE Transactions on Automatic Control.

[3]  Tianguang Chu,et al.  Complete Synchronization of Boolean Networks , 2012, IEEE Transactions on Neural Networks and Learning Systems.

[4]  Konstantin Klemm,et al.  Stability of Boolean and continuous dynamics. , 2011, Physical review letters.

[5]  Maxim Teslenko,et al.  Compositional properties of random Boolean networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Chao Luo,et al.  Algebraic Representation of Asynchronous Multiple-Valued Networks and Its Dynamics , 2013, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[7]  John Maloney,et al.  Finding Cycles in Synchronous Boolean Networks with Applications to Biochemical Systems , 2003, Int. J. Bifurc. Chaos.

[8]  Hao Zhang,et al.  Synchronization of Asynchronous Switched Boolean Network , 2015, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[9]  S. Kauffman.  Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[10]  Fangfei Li.  Synchronization of coupled large-scale Boolean networks. , 2014, Chaos.

[11]  Maxim Teslenko,et al.  A SAT-Based Algorithm for Finding Attractors in Synchronous Boolean Networks , 2011, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[12]  Jinde Cao,et al.  Synchronization of Arbitrarily Switched Boolean Networks , 2017, IEEE Transactions on Neural Networks and Learning Systems.

[13]  T. Chu,et al.  Synchronization in an array of coupled Boolean networks , 2012 .

[14]  Stefan Bornholdt,et al.  Boolean Network Model Predicts Knockout Mutant Phenotypes of Fission Yeast , 2013, PloS one.

[15]  Tamer Kahveci,et al.  Large-Scale Signaling Network Reconstruction , 2012, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[16]  Fangfei Li,et al.  Synchronization Analysis for Multivalued Logical Networks , 2013, Int. J. Bifurc. Chaos.

[17]  Hao Zhang,et al.  Synchronization of Boolean Networks with Different Update Schemes , 2014, IEEE/ACM Transactions on Computational Biology and Bioinformatics.

[18]  Xingyuan Wang,et al.  Controllability of asynchronous Boolean multiplex control networks. , 2014, Chaos.