Abstract
This paper investigates the abscisic acid (ABA) signal transduction network which is described by Boolean network (BN) based on semi-tensor product (STP). By using this algebraic approach, the oscillation of ABA signal transduction network in the case of the node-disrupted, namely cytosolic PH (\(pH_c\)) perturbation is observed.
This work is supported partly by National Natural Science Foundation (NNSF) 61773090 of China.
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Azuma, S.-i., Yoshida, T., Sugie, T.: Structural oscillatority analysis of boolean networks. IEEE Trans. Control Netw. Syst. 2865–2868 (2015)
Cheng, D., Qi, H.: A linear representation of dynamics of Boolean networks. IEEE Trans. Autom. Control 55(10), 2251–2258 (2010)
Cheng, D., Qi, H., Li, Z.: Analysis and control of Boolean networks: a semi-tensor product approach. Acta Autom. Sin. 37(5), 1352–1356 (2011)
Cheng, D., Qi, H., Zhao, Y.: An Introduction to Semi-Tensor Product of Matrices and Its Applications. World Scientific, Hackensack (2012)
Chen, H., Liang, J., Lu, J., Qiu, J.: Synchronization for the realization-dependent probabilistic Boolean networks. IEEE Trans. Neural Netw. Learn. Syst. 29(4), 819–831 (2018)
Feng, J.E., Lv, H., Cheng, D.: Multiple fuzzy relation and its application to coupled fuzzy control. Asian J. Control 15(5), 1313–1324 (2013)
Felle, H.H.: pH: signal and messenger in plant cells. Plant Biol. 3(6), 577–591 (2001)
Grantcharova, N., Peters, V., Monteiro, C., Zakikhany, K., Rmling, U.: Bistable expression of CsgD in biofilm development of salmonella enterica serovar typhimurium. J. Bacteriol. 192(2), 456–466 (2010)
Jenkins, A., Macauley, M.: Bistability and asynchrony in a Boolean model of the L-arabinose operon in Escherichia coli. Bull. Math. Biol. 79(8), 1778–1795 (2017)
Li, H., Wang, Y.: Boolean derivative calculation with application to fault detection of combinational circuits via the semi-tensor product method. Automatica 48(4), 688–693 (2012)
Li, S., Assmann, S.M., Albert, R.: Predicting essential components of signal transduction networks: a dynamic model of guard cell abscisic acid signaling. Plos Biol. 4(10), 312 (2006)
Liu, Y., Li, B., Lu, J., Cao, J.: Pinning control for the disturbance decoupling problem of Boolean networks. IEEE Trans. Autom. Control 62, 6595–6601 (2017)
Saadatpour, A., Albert, I., Albert, R.: Attractor analysis of asynchronous Boolean models of signal transduction networks. J. Theor. Biol. 266(4), 641–656 (2010)
Veliz-Cuba, A., Stigler, B.: Boolean models can explain bistability in the lac operon. J. Comput. Biol. 18(6), 783–794 (2011)
Wang, Y., Zhang, C., Liu, Z.: A matrix approach to graph maximum stable set and coloring problems with application to multi-agent systems (Pergamon. Press, Inc). Automatica 48, 1227–1236 (2012)
Wu, Y., Shen, T.: Policy iteration approach to control residual gas fraction in ic engines under the framework of stochastic logical dynamics. IEEE Trans. Control Syst. Technol. 25(3), 1100–1107 (2017)
Wu, Y., Kumar, M., Shen, T.: A stochastic logical system approach to model and optimal control of cyclic variation of residual gas fraction in combustion engines. Appl. Therm. Eng. 93(8), 251–259 (2016)
Yunlei, Z.O.U., Jiandong, Z.H.U.: Graph theory methods for decomposition w.r.t. outputs of Boolean control networks. J. Syst. Sci. Complex. 30(3), 519–534 (2017)
Zhong, J., Ho, D.W.C., Lu, J., Xu, W.: Global robust stability and stabilization of Boolean network with disturbances. Automatica 84, 142–148 (2017)
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Chen, S., Zhang, J., Wu, Y. (2019). Oscillation Analysis of Abscisic Acid Signal Transduction Network: A Semi-tensor Product Approach. In: Lam, J., Chen, Y., Liu, X., Zhao, X., Zhang, J. (eds) Positive Systems . POSTA 2018. Lecture Notes in Control and Information Sciences, vol 480. Springer, Cham. https://doi.org/10.1007/978-3-030-04327-8_24
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