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29 March 2024 |
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Article overview
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The inheritance of nondegenerate multistationarity in chemical reaction networks | Murad Banaji
; Casian Pantea
; | Date: |
30 Aug 2016 | Abstract: | We study how the properties of allowing multiple positive nondegenerate
equilibria (MPNE) and multiple positive linearly stable equilibria (MPSE) are
inherited in chemical reaction networks (CRNs). Specifically, when is it that
we can deduce that a CRN admits MPNE or MPSE based on analysis of its
subnetworks? Using basic techniques from analysis we are able to identify a
number of situations where MPNE and MPSE are "inherited" as we build up a
network. Some of these modifications are known while others are new, but all
results are proved using the same basic framework, which we believe will yield
further results. The results are presented primarily for mass action kinetics,
although with natural, and in some cases immediate, generalisation to other
classes of kinetics. | Source: | arXiv, 1608.8400 | Services: | Forum | Review | PDF | Favorites |
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