Oscillations and multiscale dynamics in a closed chemical reaction system: second law of thermodynamics and temporal complexity.
暂无分享,去创建一个
Hong Qian | Yingfei Yi | Yongfeng Li | H. Qian | Yongfeng Li | Y. Yi
[1] J. R. E. O’Malley. Singular perturbation methods for ordinary differential equations , 1991 .
[2] Nikola Samardzija,et al. Nonlinear chemical kinetic schemes derived from mechanical and electrical dynamical systems , 1989 .
[3] G. Moore,et al. Geometric methods for computing invariant manifolds , 1995 .
[4] Hong Qian,et al. Chemical Biophysics: Quantitative Analysis of Cellular Systems , 2008 .
[5] N. Kampen,et al. Elimination of fast variables , 1985 .
[6] A. Gorban,et al. Invariant Manifolds for Physical and Chemical Kinetics , 2005 .
[7] M. Roussel,et al. A new class of biochemical oscillator models based on competitive binding. , 1997, European journal of biochemistry.
[8] John D. Sheppard,et al. Cell synchrony and periodic behaviour in yeast populations , 1999 .
[9] H. Qian. Cycle kinetics, steady state thermodynamics and motors—a paradigm for living matter physics , 2005, Journal of physics. Condensed matter : an Institute of Physics journal.
[10] R. Rosenfeld. Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.
[11] Hong Qian,et al. Open-system nonequilibrium steady state: statistical thermodynamics, fluctuations, and chemical oscillations. , 2006, The journal of physical chemistry. B.
[12] C. Vidal,et al. Non-Equilibrium Dynamics in Chemical Systems , 1984 .
[13] E. Karsenti. Self-organization in cell biology: a brief history , 2008, Nature Reviews Molecular Cell Biology.
[14] Irving R. Epstein,et al. An Introduction to Nonlinear Chemical Dynamics: Oscillations, Waves, Patterns, and Chaos , 1998 .
[15] A. J. Lotka. Analytical Note on Certain Rhythmic Relations in Organic Systems , 1920, Proceedings of the National Academy of Sciences.
[16] Yingfei Yi,et al. Relaxation Oscillations in a Class of Predator-Prey Systems , 2003 .
[17] P. Bak,et al. Self-organized criticality , 1991 .
[18] Statistical Mechanics: A Selective Review of Two Central Issues , 1999, math-ph/0010018.
[19] Grégoire Nicolis,et al. Self-Organization in nonequilibrium systems , 1977 .
[20] M. Dolnik,et al. Oscillatory Chemical Reaction in a CSTR with Feedback Control of Flow Rate , 1997 .
[21] R. Cervellati,et al. The BZ Reaction: Experimental and Model Studies in the Physical Chemistry Laboratory , 1996 .
[22] R. M. Noyes,et al. Oscillatory Chemical Reactions , 1974 .
[23] Marc R. Roussel,et al. On the geometry of transient relaxation , 1991 .
[24] Hong Qian,et al. Nonequilibrium thermodynamics and nonlinear kinetics in a cellular signaling switch. , 2005, Physical review letters.
[25] Notes of a protein crystallographer: quo vadis structural biology? , 2007, Acta crystallographica. Section D, Biological crystallography.
[26] M. Qian,et al. Mathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems , 2004 .
[27] James D. Murray. Mathematical Biology: I. An Introduction , 2007 .
[28] Minping Qian,et al. Mathematical Theory of Nonequilibrium Steady States , 2004 .
[29] S. Caplan,et al. Chemical oscillations arise solely from kinetic nonlinearity and hence can occur near equilibrium. , 1995, Biophysical journal.
[30] Hong Qian,et al. Phosphorylation energy hypothesis: open chemical systems and their biological functions. , 2007, Annual review of physical chemistry.
[31] A. Goldbeter,et al. Biochemical Oscillations And Cellular Rhythms: Contents , 1996 .
[32] L. Segel,et al. Law of mass action , 1992, Nature.