Homotopy methods for counting reaction network equilibria

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dc.creatorCraciun, Gheorghe
dc.creatorHelton, J. William
dc.creatorWilliams, Ruth J.
dc.date2007-11-09
dc.date2008-09-09
dc.date.accessioned2026-07-07T10:01:09Z
dc.date.available2026-07-07T10:01:09Z
dc.descriptionDynamical system models of complex biochemical reaction networks are usually high-dimensional, nonlinear, and contain many unknown parameters. In some cases the reaction network structure dictates that positive equilibria must be unique for all values of the parameters in the model. In other cases multiple equilibria exist if and only if special relationships between these parameters are satisfied. We describe methods based on homotopy invariance of degree which allow us to determine the number of equilibria for complex biochemical reaction networks and how this number depends on parameters in the model.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0711.1552
dc.identifierhttp://arxiv.org/abs/0711.1552
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168539
dc.subjectDynamical Systems
dc.subject80A30, 37C25, 65H10, 92C45
dc.titleHomotopy methods for counting reaction network equilibria
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