In certain classes of chemical reaction networks (CRN), there may be two stable states. The challenge is to find a model of the CRN such that the stability properties can be predicted. In this paper we consider the problem of building a P-system designed to simulate the CRN in an attempt to determine if the CRN is stable or bistable. We found that for the networks in [2] none of the bistable CRN would have a bistable P-system by stoichiometry alone. The reaction kinetics must be included in the P-system model; the implementation of which has been considered an open problem. In this paper we conclude that a Psystem for a CRN in m reactants and n products has at most 2(m2 +mn) membranes and 6(m2+mn) rules. This suggests that P-system models of a chemical reaction network, including both stoichiometry and reaction kinetics can be built. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Dunn, S., & Stivers, P. (2007). P system models of bistable, enzyme driven chemical reaction networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4527 LNCS, pp. 203–213). Springer Verlag. https://doi.org/10.1007/978-3-540-73053-8_20
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