Dynamic analysis and control of biochemical reaction networks

Mathematics and Computers in Simulation

Volumn 79, Issue 4, 2008, Pages 999-1009

  Otero Muras, Irene ^a   Szederkényi, Gábor ^b   Hangos, Katalin M ^b   Alonso, Antonio A ^a  

^a INSTITUTO DE INVESTIGACIONES MARINAS   (Spain)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

Biochemical reaction networks; Multiplicities; Passivity based control; Thermodynamics

Indexed keywords

BIOCHEMICAL ENGINEERING; CONTROL THEORY; DYNAMIC ANALYSIS; DYNAMICS; ENTROPY; NONLINEAR CONTROL SYSTEMS; OPEN SYSTEMS; SYSTEM STABILITY;

BIOCHEMICAL NETWORKS; BIOCHEMICAL REACTION NETWORKS; BIOCHEMICAL SYSTEMS; CONTROL VOLUMES; CONTROLLED RESPONSES; DYNAMIC EVOLUTIONS; ENTROPY FLUXES; ENTROPY PRODUCTIONS; INTRACELLULAR PROCESSES; IRREVERSIBLE THERMODYNAMICS; MULTIPLICITIES; NONLINEAR BEHAVIOURS; NONLINEAR CONTROLS; PASSIVITY BASED CONTROL; STABILITY ANALYSES; STORAGE FUNCTIONS;

THERMODYNAMICS;

EID: 56949107116     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2008.02.019     Document Type: Article

References (12)

1. Alonso A.A., and Ydstie E. Process systems, passivity and the second law of thermodynamics. Computers and Chemical Engineering 20 (1996) S1119-S1124
2. Demirel Y., and Sandler S.I. Thermodynamics and bioenergetics. Biophysical Chemistry 97 (2002) 87-111
3. M. Feinberg, Lectures on chemical reaction networks, Notes of lectures given at the Mathematics Research Center, University of Wisconsin, 1979.
4. Gorban A.N., Karlin I.V., and Zinovyev A.Y. Invariant grids for reaction kinetics. Physica A 33 (2004) 106-154
5. Briggs G.E., and Haldane J.B.S. A note on the kinetics of enzyme action. Biochem. J. 19 (1925) 338-339
6. J. Gunawardena, Chemical Reaction Network Theory for In-silico Biologists, Lecture notes, Bauer Center for Genomics Research, Harvard University, 2003.
7. Hasty J., McMillen D., and Collins J.J. Engineered gene circuits. Nature 420 (2002) 224-230
8. Leloup J.C., and Goldbeter A. Modeling the mammalian circadian clock: sensitivity analysis and multiplicity of oscillatory mechanisms. Journal of Theoretical Biology 230 (2004) 541-562
9. Sontag E., Kiyatin A., and Kholodenko B.N. Inferring dynamic architecture of cellular networks using time series of gene expression, protein and metabolite data. Bioinformatics 20 12 (2004) 1877-1889
10. Strogatz S.H. Exploring complex networks. Nature 410 (2001) 268-276
11. Thomas R., and Kaufman M. Multistationarity, the basis of cell differentiation and memory. I: Structural conditions of multistationarity and other nontrivial behaviour. Chaos 11 (2001) 170-179
12. 2-Gain and Passivity Techniques in Nonlinear Control (2000), Springer