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Model reduction and process analysis of biological models

Stefano Casagranda 1 Delphine Ropers 2 Jean-Luc Gouzé 1
1 BIOCORE - Biological control of artificial ecosystems
INRA - Institut National de la Recherche Agronomique, CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche
2 IBIS - Modeling, simulation, measurement, and control of bacterial regulatory networks
LAPM - Laboratoire Adaptation et pathogénie des micro-organismes [Grenoble], Inria Grenoble - Rhône-Alpes, Institut Jean Roget
Abstract : Understanding the dynamical behavior of biological networks is complicated due to their large number of components and interactions. We present a method to analyse key processes for the system behavior, based on the a priori knowledge of the system trajectory and the simplification of mathematical models of these networks. The method consists of the model decomposition into biologically meaningful processes, whose activity or inactivity is evaluated during the time evolution of the system. The structure of the model is reduced to the core mechanisms involving active processes only. We assess the quality of the reduction by means of global relative errors and apply our method to two models of the circadian rhythm in Drosophila and the influence of RKIP on the ERK signaling pathway.
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Stefano Casagranda, Delphine Ropers, Jean-Luc Gouzé. Model reduction and process analysis of biological models. 2015 23th Mediterranean Conference on Control and Automation (MED), Jun 2015, Torremolinos, Spain. ⟨10.1109/MED.2015.7158908⟩. ⟨hal-01239356⟩

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