arXiv Open Access 2007

Differential and graphical approaches to multistability theory for chemical reaction networks

Mark Lipson
Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

Penulis (1)

M

Mark Lipson

Format Sitasi

Lipson, M. (2007). Differential and graphical approaches to multistability theory for chemical reaction networks. https://arxiv.org/abs/0709.0125

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2007
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓