kinetic theory modeling and efficient numerical simulation of gene regulatory networks based on qualitative descriptions
Clicks: 239
ID: 169108
2015
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Abstract
In this work, we begin by considering the qualitative modeling of biological regulatory systems using process hitting, from which we define its probabilistic counterpart by considering the chemical master equation within a kinetic theory framework. The last equation is efficiently solved by considering a separated representation within the proper generalized decomposition framework that allows circumventing the so-called curse of dimensionality. Finally, model parameters can be added as extra-coordinates in order to obtain a parametric solution of the model.
| Reference Key |
chinesta2015entropykinetic
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|---|---|
| Authors | ;Francisco Chinesta;Morgan Magnin;Olivier Roux;Amine Ammar;Elias Cueto |
| Journal | European journal of medicinal chemistry |
| Year | 2015 |
| DOI |
10.3390/e17041896
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| URL | |
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