Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems
نویسندگان
چکیده
منابع مشابه
Graph-theoretic criteria for injectivity and unique equilibria in general chemical reaction systems.
In this paper we discuss the question of how to decide when a general chemical reaction system is incapable of admitting multiple equilibria, regardless of parameter values such as reaction rate constants, and regardless of the type of chemical kinetics, such as mass-action kinetics, Michaelis-Menten kinetics, etc. Our results relate previously described linear algebraic and graph-theoretic con...
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In this paper we discuss the question of how to decide when a system of chemical reactions is incapable of admitting multiple equilibria. Our results relate previously described linear algebraic and graph theoretic conditions for injectivity of chemical reaction systems. After developing a translation between the two formalisms, we show that a graph-theoretic test developed earlier in the conte...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 2010
ISSN: 0196-8858
DOI: 10.1016/j.aam.2009.07.003