2007/09/02 by Mark Lipson, Lipson, Mark
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #FOS: Biological sciences #Gene Regulatory Network Analysis #Molecular Networks (q-bio.MN) #Nonlinear Dynamics and Pattern Formation #Origins and Evolution of Life #Quantitative Methods (q-bio.QM) #q-bio.MN #q-bio.QM
paper · pdf · doi:10.48550/arxiv.0709.0125
28 pages, no figures
arxiv created 2007/09/02 · openalex publication_date 2007/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 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.