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• W2962223212 abstract "The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is: Given a polynomial differential equation, is it possible to find a network which induces the equation? If yes, can we find a network with some chemically relevant properties (implying also important dynamic consequences), such as reversibility, weak reversibility, zero deficiency, detailed balancing, complex balancing, mass conservation, etc. The constructive answers presented to a series of questions of the above type are useful when fitting a differential equation to measurements, or when trying to find out the dynamic behavior of the solutions of a differential equation. It turns out that some of the results can be applied when trying to solve purely mathematical problems, like the existence of positive solutions to polynomial equation." @default.
• W2962223212 created "2019-07-23" @default.
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• W2962223212 date "2019-07-16" @default.
• W2962223212 modified "2023-10-16" @default.
• W2962223212 title "Realizations of kinetic differential equations" @default.
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• W2962223212 doi "https://doi.org/10.48550/arxiv.1907.07266" @default.
• W2962223212 hasPublicationYear "2019" @default.
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