Differential and graphical approaches to multistability theory for chemical reaction networks

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dc.creatorLipson, Mark
dc.date2007-09-02
dc.date.accessioned2026-07-07T08:27:12Z
dc.date.available2026-07-07T08:27:12Z
dc.descriptionThe use of mathematical models has helped to shed light on countless phenomena in chemistry and biology. Often, though, one finds that systems of interest in these fields are dauntingly complex. In this paper, we attempt to synthesize and expand upon the body of mathematical results pertaining to the theory of multiple equilibria in chemical reaction networks (CRNs), which has yielded surprising insights with minimal computational effort. Our central focus is a recent, cycle-based theorem by Gheorghe Craciun and Martin Feinberg, which is of significant interest in its own right and also serves, in a somewhat restated form, as the basis for a number of fruitful connections among related results.
dc.description28 pages, no figures
dc.identifierhttps://arxiv.org/abs/0709.0125
dc.identifierhttp://arxiv.org/abs/0709.0125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137194
dc.subjectMolecular Networks
dc.subjectQuantitative Methods
dc.titleDifferential and graphical approaches to multistability theory for chemical reaction networks
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