Time Hierarchies and Model Reduction in Canonical Non-linear Models
暂无分享,去创建一个
Alberto Marin-Sanguino | Andreas Kremling | Hannes Löwe | A. Kremling | Hannes Löwe | A. Marín-Sanguino
[1] E O Voit,et al. Symmetries of S-systems. , 1992, Mathematical biosciences.
[2] K. F. Tipton,et al. Biochemical systems analysis: A study of function and design in molecular biology , 1978 .
[3] M. Savageau,et al. Constraints among molecular and systemic properties: implications for physiological genetics. , 1989, Journal of Theoretical Biology.
[4] Eberhard O. Voit,et al. Equivalence between S-systems and Volterra systems , 1986 .
[5] V. Fairén,et al. Nonpolynomial vector fields under the Lotka-Volterra normal form , 1995, 1910.01962.
[6] Alicia Dickenstein,et al. Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic Geometry , 2013, Found. Comput. Math..
[7] John W. Hearne,et al. Sensitivity analysis of parameter combinations , 1985 .
[8] E. Voit,et al. Recasting nonlinear differential equations as S-systems: a canonical nonlinear form , 1987 .
[9] A Joshi,et al. Reducing complexity in metabolic networks: making metabolic meshes manageable. , 1987, Federation proceedings.
[10] Chun-Liang Lin,et al. An Approach for Model Reduction of Biochemical Networks , 2013 .
[11] J. S. Easterby,et al. A generalized theory of the transition time for sequential enzyme reactions. , 1981, The Biochemical journal.
[12] M. Savageau. Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation. , 1969, Journal of theoretical biology.
[13] Eberhard O. Voit,et al. Canonical nonlinear modeling : S-system approach to understanding complexity , 1991 .
[14] Eberhard O. Voit,et al. Computational Analysis of Biochemical Systems: A Practical Guide for Biochemists and Molecular Biologists , 2000 .
[15] Michael A Savageau,et al. Elucidating the genotype–phenotype map by automatic enumeration and analysis of the phenotypic repertoire , 2015, npj Systems Biology and Applications.
[16] R. Díaz-Sierra,et al. Graph-theoretic description of the interplay between non-linearity and connectivity in biological systems. , 1999, Mathematical biosciences.
[17] Michael A Savageau,et al. Phenotypes and tolerances in the design space of biochemical systems , 2009, Proceedings of the National Academy of Sciences.
[18] Michael A. Savageau,et al. Optimal design of feedback control by inhibition , 1974, Journal of Molecular Evolution.
[19] M. Savageau. Development of fractal kinetic theory for enzyme-catalysed reactions and implications for the design of biochemical pathways. , 1998, Bio Systems.
[20] Bernhard O. Palsson,et al. Top-Down Analysis of Temporal Hierarchy in Biochemical Reaction Networks , 2008, PLoS Comput. Biol..
[21] Prodromos Daoutidis,et al. Non-linear reduction for kinetic models of metabolic reaction networks. , 2004, Metabolic engineering.
[22] Alberto Marin-Sanguino,et al. Flux duality in nonlinear GMA systems: implications for metabolic engineering. , 2010, Journal of biotechnology.
[23] B. Hernández-Bermejo,et al. Algebraic recasting of nonlinear systems of ODEs into universal formats , 1998, 1910.02726.
[24] G. Hek. Geometric singular perturbation theory in biological practice , 2010 .
[25] M. Savageau. Biochemical systems analysis. II. The steady-state solutions for an n-pool system using a power-law approximation. , 1969, Journal of theoretical biology.
[26] J. Liao,et al. Control of metabolic pathways by time-scale separation. , 1995, Bio Systems.