Dynamic analysis and control of biochemical reaction networks

Authors:
Irene Otero-Muras;Gábor Szederkényi;Katalin M. Hangos;Antonio A. Alonso
Affiliations:
Process Engineering Group, Instituto de Investigaciones Marinas-CSIC, C/Eduardo Cabello 6, 36208 Vigo, Spain;Process Control Research Group, Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1518 Budapest, P.O. Box 63, Hungary;Process Control Research Group, Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1518 Budapest, P.O. Box 63, Hungary;Process Engineering Group, Instituto de Investigaciones Marinas-CSIC, C/Eduardo Cabello 6, 36208 Vigo, Spain
Venue:
Mathematics and Computers in Simulation
Year:
2008

Citing 2
Cited 1

L2-Gain and Passivity in Nonlinear Control

L2-Gain and Passivity in Nonlinear Control
Inferring dynamic architecture of cellular networks using time series of gene expression, protein and metabolite data

Bioinformatics

The Glansdorff-Prigogine stability criterion for biochemical reaction networks

Automatica (Journal of IFAC)

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Abstract

In the present work, we combine the concepts and tools from Irreversible Thermodynamics and Control Theory in a contribution to unravel the origin of complex nonlinear behaviour in biochemical networks. Regarding cells as thermodynamic systems, we can consider dynamic evolution of intracellular processes in terms of the combined action of an endogenous entropy production and the entropy flux associated to chemicals passing through the control volume. Based on a generalized description of biochemical systems, a physically motivated storage function is constructed and used for stability analysis. In this way, the entropy flux of open systems can be meaningfully modified by efficient nonlinear control schemes capable of network stabilization, and irreversible thermodynamics provide us with the physical insight to further interpret the controlled response.