Hybrid Modeling in Biochemical Systems Theory by Means of Functional Petri Nets
暂无分享,去创建一个
[1] E O Voit. Smooth bistable S-systems. , 2005, Systems biology.
[2] D. Gillespie. Approximate accelerated stochastic simulation of chemically reacting systems , 2001 .
[3] D. Gillespie. The Chemical Langevin and Fokker−Planck Equations for the Reversible Isomerization Reaction† , 2002 .
[4] M A Savageau,et al. A theory of alternative designs for biochemical control systems. , 1985, Biomedica biochimica acta.
[5] D. Gillespie. The chemical Langevin equation , 2000 .
[6] J. Heijnen,et al. The mathematics of metabolic control analysis revisited. , 2002, Metabolic engineering.
[7] Robert M. May,et al. Theoretical Ecology: Principles and Applications , 1977 .
[8] Ramón Varón,et al. Kinetics of a general model for enzyme activation through a limited proteolysis , 1987 .
[9] Atsushi Doi,et al. Biopathways representation and simulation on hybrid functional Petri net , 2003, Silico Biol..
[10] Eberhard O. Voit,et al. Computational Analysis of Biochemical Systems: A Practical Guide for Biochemists and Molecular Biologists , 2000 .
[11] E O Voit,et al. Approximation of delays in biochemical systems. , 2005, Mathematical biosciences.
[12] Daniel T Gillespie,et al. Stochastic simulation of chemical kinetics. , 2007, Annual review of physical chemistry.
[13] K. Burrage,et al. Stochastic models for regulatory networks of the genetic toggle switch. , 2006, Proceedings of the National Academy of Sciences of the United States of America.
[14] Kwang-Hyun Cho,et al. Modeling and simulation of intracellular dynamics: choosing an appropriate framework , 2004, IEEE Transactions on NanoBioscience.
[15] E. Voit,et al. Recasting nonlinear differential equations as S-systems: a canonical nonlinear form , 1987 .
[16] A. J. Lotka. Elements of Physical Biology. , 1925, Nature.
[17] Masao Nagasaki,et al. Genomic data assimilation for estimating hybrid functional Petri net from time-course gene expression data. , 2006, Genome informatics. International Conference on Genome Informatics.
[18] D. Fell. Understanding the Control of Metabolism , 1996 .
[19] M. Savageau. Biochemical Systems Analysis: A Study of Function and Design in Molecular Biology , 1976 .
[20] Eberhard O. Voit,et al. S-system modelling of complex systems with chaotic input , 1993 .
[21] Wolfgang Reisig. Petri Nets: An Introduction , 1985, EATCS Monographs on Theoretical Computer Science.
[22] J E Bailey,et al. MCA has more to say. , 1996, Journal of theoretical biology.
[23] Michael A. Savageau,et al. Design principles for elementary gene circuits: Elements, methods, and examples. , 2001, Chaos.
[24] K. Burrage,et al. Stochastic delay differential equations for genetic regulatory networks , 2007 .
[25] A. J. Lotka,et al. Elements of Physical Biology. , 1925, Nature.
[26] Hiroshi Matsuno,et al. Structural Modeling and Analysis of Signaling Pathways Based on Petri Nets , 2006, J. Bioinform. Comput. Biol..
[27] M A Savageau,et al. Effect of overall feedback inhibition in unbranched biosynthetic pathways. , 2000, Biophysical journal.
[28] Marek Kimmel,et al. Transcriptional stochasticity in gene expression. , 2006, Journal of theoretical biology.
[29] 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.
[30] W. S. Hlavacek,et al. Rules for coupled expression of regulator and effector genes in inducible circuits. , 1996, Journal of molecular biology.
[31] P J Goss,et al. Quantitative modeling of stochastic systems in molecular biology by using stochastic Petri nets. , 1998, Proceedings of the National Academy of Sciences of the United States of America.
[32] J. Hasty,et al. Dynamics of single-cell gene expression , 2006, Molecular systems biology.
[33] N. Monk. Oscillatory Expression of Hes1, p53, and NF-κB Driven by Transcriptional Time Delays , 2003, Current Biology.
[34] Michael L. Mavrovouniotis,et al. Petri Net Representations in Metabolic Pathways , 1993, ISMB.
[35] A. Thiel. Lois générales de l'action des diastases, par VICTOR HENRI. VIII und 129 Seiten. (Paris, A. HERMANN, 1903.) , 1903 .
[36] Pierre N. Robillard,et al. Modeling and Simulation of Molecular Biology Systems Using Petri Nets: Modeling Goals of Various Approaches , 2004, J. Bioinform. Comput. Biol..
[37] Savageau Ma,et al. A theory of alternative designs for biochemical control systems. , 1985 .
[38] 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.
[39] D. Gillespie. Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .
[40] M A Savageau,et al. Network regulation of the immune response: alternative control points for suppressor modulation of effector lymphocytes. , 1985, Journal of immunology.
[41] Pei Yee Ho,et al. Multiple High-Throughput Analyses Monitor the Response of E. coli to Perturbations , 2007, Science.
[42] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.
[43] E. O’Shea,et al. Living with noisy genes: how cells function reliably with inherent variability in gene expression. , 2007, Annual review of biophysics and biomolecular structure.