A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems
暂无分享,去创建一个
[1] J. Bowen,et al. Singular perturbation refinement to quasi-steady state approximation in chemical kinetics , 1963 .
[2] Simon J. Fraser,et al. The steady state and equilibrium approximations: A geometrical picture , 1988 .
[3] J. Rawlings,et al. Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics , 2002 .
[4] S. H. Lam,et al. Using CSP to Understand Complex Chemical Kinetics ∗ , 1992 .
[5] H. M. Tsuchiya,et al. On the mathematical status of the pseudo-steady state hypothesis of biochemical kinetics☆ , 1967 .
[6] R. Aris. Prolegomena to the rational analysis of systems of chemical reactions , 1965 .
[7] A. Gibbons. Algorithmic Graph Theory , 1985 .
[8] Ulrich Maas,et al. Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space , 1992 .
[9] H. Othmer. A GRAPH-THEORETIC ANALYSIS OF CHEMICAL REACTION NETWORKS I. Invariants, Network Equivalence and Nonexistence of Various Types of Steady States ∗ , 1981 .
[10] G. B. Kistiakowsky,et al. On the Mechanism of the Inhibition of Urease , 1953 .
[11] S. H. Lam,et al. Using CSP to Understand Complex Chemical Kinetics , 1993 .
[12] S. Lam,et al. The CSP method for simplifying kinetics , 1994 .
[13] D J Park,et al. The hierarchical structure of metabolic networks and the construction of efficient metabolic simulators. , 1974, Journal of theoretical biology.
[14] H. Othmer. The Interaction of Structure and Dynamics in Chemical Reaction Networks , 1981 .
[15] Lee A. Segel,et al. Mathematics applied to deterministic problems in the natural sciences , 1974, Classics in applied mathematics.
[16] E. L. King,et al. A Schematic Method of Deriving the Rate Laws for Enzyme-Catalyzed Reactions , 1956 .
[17] H. Kijima,et al. 'Steady/equilibrium approximation' in relaxation and fluctuation. I. Procedure to simplify first-order reaction. , 1982, Biophysical chemistry.
[18] H. Kijima,et al. 'Steady/equilibrium approximation' in relaxation and fluctuation. II. Mathematical theory of approximations in first-order reaction. , 1983, Biophysical chemistry.
[19] Marc R. Roussel,et al. On the geometry of transient relaxation , 1991 .
[20] L. You,et al. Stochastic vs. deterministic modeling of intracellular viral kinetics. , 2002, Journal of theoretical biology.
[21] Hans G. Kaper,et al. Analysis of the Computational Singular Perturbation Reduction Method for Chemical Kinetics , 2004, J. Nonlinear Sci..
[22] L. A. Segel,et al. The Quasi-Steady-State Assumption: A Case Study in Perturbation , 1989, SIAM Rev..
[23] F. Horn. Necessary and sufficient conditions for complex balancing in chemical kinetics , 1972 .
[24] H. Othmer,et al. A stochastic analysis of first-order reaction networks , 2005, Bulletin of mathematical biology.
[25] Marc R. Roussel,et al. Invariant manifold methods for metabolic model reduction. , 2001, Chaos.
[26] Iliya V. Karlin,et al. Method of invariant manifold for chemical kinetics , 2003 .
[27] Matthias Stiefenhofer. Quasi-steady-state approximation for chemical reaction networks , 1998 .
[28] H. Othmer,et al. The effects of cell density and metabolite flux on cellular dynamics , 1978, Journal of mathematical biology.
[29] Willi Jäger,et al. Modelling of Chemical Reaction Systems , 1981 .
[30] I. Prigogine,et al. Symmetry Breaking Instabilities in Dissipative Systems. II , 1968 .
[31] Hans G. Othmer,et al. Nonuniqueness of equilibria in closed reacting systems , 1976 .
[32] Mauro Valorani,et al. An efficient iterative algorithm for the approximation of the fast and slow dynamics of stiff systems , 2006, J. Comput. Phys..
[33] Marc R. Roussel,et al. Geometry of the steady-state approximation: Perturbation and accelerated convergence methods , 1990 .
[34] R. Jackson,et al. General mass action kinetics , 1972 .
[35] T. B. Boffey,et al. Applied Graph Theory , 1973 .
[36] R. H. Snow,et al. A Chemical Kinetics Computer Program for Homogeneous and Free-Radical Systems of Reactions , 1966 .
[37] V. Becerra,et al. Optimal control of nonlinear differential algebraic equation systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).
[38] Hans G. Kaper,et al. Fast and Slow Dynamics for the Computational Singular Perturbation Method , 2004, Multiscale Model. Simul..
[39] P. Daoutidis,et al. Control of nonlinear differential algebraic equation systems , 1999 .
[40] Habib N. Najm,et al. An automatic procedure for the simplification of chemical kinetic mechanisms based on CSP , 2006 .