The diffusive finite state projection algorithm for efficient simulation of the stochastic reaction-diffusion master equation.
暂无分享,去创建一个
Brian Drawert | Linda Petzold | Mustafa Khammash | Michael J. Lawson | Michael J Lawson | L. Petzold | M. Khammash | Brian Drawert
[1] Richard D. Braatz,et al. A hybrid multiscale kinetic Monte Carlo method for simulation of copper electrodeposition , 2008, J. Comput. Phys..
[2] David Fange,et al. Noise-Induced Min Phenotypes in E. coli , 2006, PLoS Comput. Biol..
[3] D. Gillespie. Exact Stochastic Simulation of Coupled Chemical Reactions , 1977 .
[4] Martin Howard,et al. Stochastic model for Soj relocation dynamics in Bacillus subtilis. , 2005, Proceedings of the National Academy of Sciences of the United States of America.
[5] Jean-Pierre Bourguignon,et al. Mathematische Annalen , 1893 .
[6] J. Herskowitz,et al. Proceedings of the National Academy of Sciences, USA , 1996, Current Biology.
[7] Hong Li,et al. Efficient formulation of the stochastic simulation algorithm for chemically reacting systems. , 2004, The Journal of chemical physics.
[8] Axthonv G. Oettinger,et al. IEEE Transactions on Information Theory , 1998 .
[9] Brian Munsky,et al. A multiple time interval finite state projection algorithm for the solution to the chemical master equation , 2007, J. Comput. Phys..
[10] D. Gillespie. Approximate accelerated stochastic simulation of chemically reacting systems , 2001 .
[11] Samuel A. Isaacson,et al. The Reaction-Diffusion Master Equation as an Asymptotic Approximation of Diffusion to a Small Target , 2009, SIAM J. Appl. Math..
[12] October I. Physical Review Letters , 2022 .
[13] R. Erban,et al. Stochastic modelling of reaction–diffusion processes: algorithms for bimolecular reactions , 2009, Physical biology.
[14] K. Burrage,et al. A Krylov-based finite state projection algorithm for solving the chemical master equation arising in the discrete modelling of biological systems , 2006 .
[15] R. Courant,et al. Über die partiellen Differenzengleichungen der mathematischen Physik , 1928 .
[16] Andrei N. Kolmogorov,et al. Logical basis for information theory and probability theory , 1968, IEEE Trans. Inf. Theory.
[17] Qing Nie,et al. Modeling Robustness Tradeoffs in Yeast Cell Polarization Induced by Spatial Gradients , 2008, PloS one.
[18] Johan Hattne,et al. Stochastic reaction-diffusion simulation with MesoRD , 2005, Bioinform..
[19] Jaap A. Kaandorp,et al. Spatial stochastic modelling of the phosphoenolpyruvate-dependent phosphotransferase (PTS) pathway in Escherichia coli , 2006, Bioinform..
[20] D. Gillespie. A rigorous derivation of the chemical master equation , 1992 .
[21] J. W.,et al. The Journal of Physical Chemistry , 1900, Nature.
[22] K. McNeil,et al. Correlations in stochastic theories of chemical reactions , 1976 .
[23] Aidan P Thompson,et al. A constant-time kinetic Monte Carlo algorithm for simulation of large biochemical reaction networks. , 2008, The Journal of chemical physics.
[24] Rainer Breitling,et al. What is Systems Biology? , 2010, Front. Physiology.
[25] Edda Klipp,et al. Systems Biology , 1994 .
[26] Andreas Hellander,et al. Simulation of Stochastic Reaction-Diffusion Processes on Unstructured Meshes , 2008, SIAM J. Sci. Comput..
[27] Daniel T Gillespie,et al. Stochastic simulation of chemical kinetics. , 2007, Annual review of physical chemistry.
[28] Michael A. Gibson,et al. Efficient Exact Stochastic Simulation of Chemical Systems with Many Species and Many Channels , 2000 .
[29] Journal of Chemical Physics , 1932, Nature.
[30] Tatiana T Marquez-Lago,et al. Binomial tau-leap spatial stochastic simulation algorithm for applications in chemical kinetics. , 2007, The Journal of chemical physics.
[31] Sotiria Lampoudi,et al. The multinomial simulation algorithm for discrete stochastic simulation of reaction-diffusion systems. , 2009, The Journal of chemical physics.
[32] S. Solomon,et al. The importance of being discrete: life always wins on the surface. , 1999, Proceedings of the National Academy of Sciences of the United States of America.
[33] P. Swain,et al. Stochastic Gene Expression in a Single Cell , 2002, Science.
[34] O. Bagasra,et al. Proceedings of the National Academy of Sciences , 1914, Science.
[35] Brian Munsky,et al. Reduction and solution of the chemical master equation using time scale separation and finite state projection. , 2006, The Journal of chemical physics.
[36] M. Khammash,et al. The finite state projection algorithm for the solution of the chemical master equation. , 2006, The Journal of chemical physics.
[37] Andrew D Rutenberg,et al. Pattern formation inside bacteria: fluctuations due to the low copy number of proteins. , 2003, Physical review letters.
[38] G. Strang. On the Construction and Comparison of Difference Schemes , 1968 .
[39] 김삼묘,et al. “Bioinformatics” 특집을 내면서 , 2000 .
[40] A. Arkin,et al. Stochastic mechanisms in gene expression. , 1997, Proceedings of the National Academy of Sciences of the United States of America.