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- W4300975916 abstract "We discuss a method of approximate model reduction for networks of biochemical reactions. This method can be applied to networks with polynomial or rational reaction rates and whose parameters are given by their orders of magnitude. In order to obtain reduced models we solve the problem of tropical equilibration that is a system of equations in max-plus algebra. In the case of networks with nonlinear fast cycles we have to solve the problem of tropical equilibration at least twice, once for the initial system and a second time for an extended system obtained by adding to the initial system the differential equations satisfied by the conservation laws of the fast subsystem. The two steps can be reiterated until the fast subsystem has no conservation laws different from the ones of the full model. Our method can be used for formal model reduction in computational systems biology." @default.
- W4300975916 created "2022-10-04" @default.
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- W4300975916 date "2015-03-04" @default.
- W4300975916 modified "2023-09-24" @default.
- W4300975916 title "Model reduction of biochemical reactions networks by tropical analysis methods" @default.
- W4300975916 doi "https://doi.org/10.48550/arxiv.1503.01414" @default.
- W4300975916 hasPublicationYear "2015" @default.
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