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Uniqueness of Equilibria for Complex Chemical Reaction Networks
Ji, Haixia

2011, Doctor of Philosophy, Ohio State University, Mathematics.
Each chemical reaction network taken with mass action kinetics gives rise to a system of polynomial differential equations that govern the species concentrations, and in those equations many parameters (rate constants) appear. Even for a moderately sized network with several species and several reactions the resulting equations can be highly intricate. This thesis addresses the problem of determining whether a given chemical reaction network, taken with mass action kinetics, has the capacity to admit multiple positive steady states -- that is, whether for the network there are rate constant values such that the resulting polynomial differential equations admit two distinct stoichiometrically-compatible steady states in which all species concentrations are positive. The theory developed extends earlier work by Ellison and Feinberg and is implemented in a Windows-based computer program that has been made internet-available.
Martin Feinberg (Advisor)
Boris G. Pittel (Committee Member)
David Terman (Committee Member)

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Ji, H. (2011). Uniqueness of Equilibria for Complex Chemical Reaction Networks. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Ji, Haixia. "Uniqueness of Equilibria for Complex Chemical Reaction Networks." Electronic Thesis or Dissertation. Ohio State University, 2011. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

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Ji, Haixia "Uniqueness of Equilibria for Complex Chemical Reaction Networks." Electronic Thesis or Dissertation. Ohio State University, 2011. https://etd.ohiolink.edu/

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