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• W1735905065 abstract "Mathematical analysis of mass action models of large complex chemical systems is typically only possible if the models are reduced. The most common reduction technique is based on quasi-steady state assumptions. To increase the accuracy of this technique we propose delayed quasi-steady state assumptions (D-QSSA) which yield systems of delay differential equations. We define the approximation based on D-QSSA, prove the corresponding error estimate, and show how it approximates the invariant manifold. Then we define a class of well mixed chemical systems and formulate assumptions enabling the application of D-QSSA. We also apply the D-QSSA to a model of Hes1 expression and to a cell-cycle model to illustrate the improved accuracy of the D-QSSA with respect to the standard quasi-steady state assumptions." @default.
• W1735905065 created "2016-06-24" @default.
• W1735905065 creator A5025791169 @default.
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• W1735905065 date "2014-06-17" @default.
• W1735905065 modified "2023-09-27" @default.
• W1735905065 title "Reduction of chemical systems by delayed quasi-steady state assumptions" @default.
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• W1735905065 hasPublicationYear "2014" @default.
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