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Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method

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  • Ivan Martínez-Forero
  • Antonio Peláez-López
  • Pablo Villoslada

Abstract

Chemical reaction networks (CRNs) are susceptible to mathematical modelling. The dynamic behavior of CRNs can be investigated by solving the polynomial equations derived from its structure. However, simple CRN give rise to non-linear polynomials that are difficult to resolve. Here we propose a procedure to locate the steady states of CRNs from a formula derived through algebraic geometry methods. We have applied this procedure to define the steady states of a classic CRN that exhibits instability, and to a model of programmed cell death.

Suggested Citation

  • Ivan Martínez-Forero & Antonio Peláez-López & Pablo Villoslada, 2010. "Steady State Detection of Chemical Reaction Networks Using a Simplified Analytical Method," PLOS ONE, Public Library of Science, vol. 5(6), pages 1-6, June.
    • Handle: RePEc:plo:pone00:0010823
    DOI: 10.1371/journal.pone.0010823
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    References listed on IDEAS

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    1. Matthew Thomson & Jeremy Gunawardena, 2009. "Unlimited multistability in multisite phosphorylation systems," Nature, Nature, vol. 460(7252), pages 274-277, July.
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