Exact stochastic simulation of coupled chemical reactions DT Gillespie The journal of physical chemistry 81 (25), 2340-2361, 1977 | 12354 | 1977 |
A general method for numerically simulating the stochastic time evolution of coupled chemical reactions DT Gillespie Journal of computational physics 22 (4), 403-434, 1976 | 7527 | 1976 |
Stochastic simulation of chemical kinetics DT Gillespie Annu. Rev. Phys. Chem. 58 (1), 35-55, 2007 | 2561 | 2007 |
Approximate accelerated stochastic simulation of chemically reacting systems DT Gillespie The Journal of chemical physics 115 (4), 1716-1733, 2001 | 2397 | 2001 |
The chemical Langevin equation DT Gillespie The Journal of Chemical Physics 113 (1), 297-306, 2000 | 1811 | 2000 |
A rigorous derivation of the chemical master equation DT Gillespie Physica A: Statistical Mechanics and its Applications 188 (1-3), 404-425, 1992 | 1487 | 1992 |
Markov processes: an introduction for physical scientists DT Gillespie Elsevier, 1991 | 1070 | 1991 |
Efficient step size selection for the tau-leaping simulation method Y Cao, DT Gillespie, LR Petzold The Journal of chemical physics 124 (4), 2006 | 808 | 2006 |
Exact numerical simulation of the Ornstein-Uhlenbeck process and its integral DT Gillespie Physical review E 54 (2), 2084, 1996 | 669 | 1996 |
The slow-scale stochastic simulation algorithm Y Cao, DT Gillespie, LR Petzold The Journal of chemical physics 122 (1), 2005 | 632 | 2005 |
Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method M Rathinam, LR Petzold, Y Cao, DT Gillespie The Journal of Chemical Physics 119 (24), 12784-12794, 2003 | 566 | 2003 |
Improved leap-size selection for accelerated stochastic simulation DT Gillespie, LR Petzold The journal of chemical physics 119 (16), 8229-8234, 2003 | 540 | 2003 |
Perspective: Stochastic algorithms for chemical kinetics DT Gillespie, A Hellander, LR Petzold The Journal of chemical physics 138 (17), 2013 | 385 | 2013 |
The mathematics of Brownian motion and Johnson noise DT Gillespie American Journal of Physics 64 (3), 225-239, 1996 | 382 | 1996 |
Avoiding negative populations in explicit Poisson tau-leaping Y Cao, DT Gillespie, LR Petzold The Journal of chemical physics 123 (5), 2005 | 357 | 2005 |
An exact method for numerically simulating the stochastic coalescence process in a cloud DT Gillespie Journal of Atmospheric Sciences 32 (10), 1977-1989, 1975 | 290 | 1975 |
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems Y Cao, D Gillespie, L Petzold Journal of Computational Physics 206 (2), 395-411, 2005 | 258 | 2005 |
Adaptive explicit-implicit tau-leaping method with automatic tau selection Y Cao, DT Gillespie, LR Petzold The Journal of chemical physics 126 (22), 2007 | 256 | 2007 |
Algorithms and software for stochastic simulation of biochemical reacting systems H Li, Y Cao, LR Petzold, DT Gillespie Biotechnology progress 24 (1), 56-61, 2008 | 214 | 2008 |
Stochastic modelling of gene regulatory networks H El Samad, M Khammash, L Petzold, D Gillespie International Journal of Robust and Nonlinear Control: IFAC‐Affiliated …, 2005 | 205 | 2005 |