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Titel:

Time Hierarchies and Model Reduction in Canonical Non-linear Models

Dokumenttyp:
Zeitschriftenaufsatz
Autor(en):
Hannes Löwe; Andreas Kremling; Alberto Marin-Sanguino
Abstract:
The time-scale hierarchies of a very general class of models in differential equations is analyzed. Classical methods for model reduction and time-scale analysis have been adapted to this formalism and a complementary method is proposed. A unified theoretical treatment shows how the structure of the system can be much better understood by inspection of two sets of singular values: one related to the stoichiometric structure of the system and another to its kinetics. The methods are exemplified f...     »
Stichworte:
mathematical modeling, biochemical systems theory, quasi-polynomial systems, time-scales, model reduction, systems biology
Zeitschriftentitel:
Front Genet
Jahr:
2016
Monat:
Sep
Sprache:
en
Volltext / DOI:
doi:10.3389/fgene.2016.00166
WWW:
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5030239/
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