A computational approach to persistence, permanence, and endotacticity of biochemical reaction systems

  title={A computational approach to persistence, permanence, and endotacticity of biochemical reaction systems},
  author={M. D. Johnston and C. Pantea and P. Donnell},
  journal={Journal of Mathematical Biology},
  • M. D. Johnston, C. Pantea, P. Donnell
  • Published 2016
  • Computer Science, Mathematics, Medicine
  • Journal of Mathematical Biology
  • We introduce a mixed-integer linear programming (MILP) framework capable of determining whether a chemical reaction network possesses the property of being endotactic or strongly endotactic. The network property of being strongly endotactic is known to lead to persistence and permanence of chemical species under genetic kinetic assumptions, while the same result is conjectured but as yet unproved for general endotactic networks. The algorithms we present are the first capable of verifying… CONTINUE READING
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