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| - Model Reduction in the Computational Modeling of Reaction Systems
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| Abstract
| - The underlying assumption for most lumping techniques is that thereduced models must be valid for theentire composition space. This is a harsh requirement that oftenlimits the models that are generated. Thescheme that is presented here uses the inherent structure of reactionsystems to divide the compositionspace into regions. Within each region, the order-of-magnituderelationships that exist between terms inthe rate equations are used to systematically reduce the order andcoupling of the model. The full systemis then described through piecewise combination of these simpler,region-specific models. Although thesereduced models are based on assumptions that make them invalidglobally, they are accurate within theregions for which they have been crafted.
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