101. Time Hierarchies and Model Reduction in Canonical Non-linear Models.
- Author
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Löwe, Hannes, Kremling, Andreas, Marin-Sanguino, Alberto, Ghosh, Preetam, and Stamatelos, Spyros K.
- Subjects
NONLINEAR statistical models ,STOICHIOMETRY ,CANONICAL correlation (Statistics) - 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 first through a toy model, then a large synthetic network and finally with numeric simulations of three classical benchmark models of real biological systems. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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