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2020 Mixed volume of small reaction networks
Nida Obatake, Anne Shiu, Dilruba Sofia
Involve 13(5): 845-860 (2020). DOI: 10.2140/involve.2020.13.845

Abstract

An important invariant of a chemical reaction network is its maximum number of positive steady states. This number, however, is in general difficult to compute. Nonetheless, there is an upper bound on this number — namely, a network’s mixed volume — that is easy to compute. Moreover, recent work has shown that, for certain biological signaling networks, the mixed volume does not greatly exceed the maximum number of positive steady states. Continuing this line of research, we further investigate this overcount and also compute the mixed volumes of small networks, those with only a few species or reactions.

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Nida Obatake. Anne Shiu. Dilruba Sofia. "Mixed volume of small reaction networks." Involve 13 (5) 845 - 860, 2020. https://doi.org/10.2140/involve.2020.13.845

Information

Received: 1 May 2020; Revised: 10 September 2020; Accepted: 20 September 2020; Published: 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4190442
Digital Object Identifier: 10.2140/involve.2020.13.845

Subjects:
Primary: 12D10, 37C10, 52A39
Secondary: 65H04, 80A30

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.13 • No. 5 • 2020
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