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Boundedness of trajectories for weakly reversible, single linkage class reaction systems

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Abstract

This paper is concerned with the dynamical properties of deterministically modeled chemical reaction systems with mass-action kinetics. Such models are ubiquitously found in chemistry, population biology, and the burgeoning field of systems biology. A basic question, whose answer remains largely unknown, is the following: for which network structures do trajectories of mass-action systems remain bounded in time? In this paper, we conjecture that the result holds when the reaction network is weakly reversible, and prove this conjecture in the case when the reaction network consists of a single linkage class, or connected component.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, WI, 53706, USA

    David F. Anderson

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  1. David F. Anderson
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Correspondence to David F. Anderson.

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Grant support from NSF grant DMS-1009275.

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Anderson, D.F. Boundedness of trajectories for weakly reversible, single linkage class reaction systems. J Math Chem 49, 2275–2290 (2011). https://doi.org/10.1007/s10910-011-9886-4

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  • DOI: https://doi.org/10.1007/s10910-011-9886-4

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