Solving the chemical master equation for monomolecular reaction systems analytically
|
journal
|
September 2006 |
Uniform Convergence of Interlaced Euler Method for Stiff Stochastic Differential Equations
|
journal
|
July 2011 |
A hybrid multiscale Monte Carlo algorithm (HyMSMC) to cope with disparity in time scales and species populations in intracellular networks
|
journal
|
January 2007 |
Nature, Nurture, or Chance: Stochastic Gene Expression and Its Consequences
|
journal
|
October 2008 |
What’s Luck Got to Do with It: Single Cells, Multiple Fates, and Biological Nondeterminism
|
journal
|
June 2016 |
A solver for the stochastic master equation applied to gene regulatory networks
|
journal
|
August 2007 |
Exact stochastic simulation of coupled chemical reactions
|
journal
|
December 1977 |
Efficient Exact Stochastic Simulation of Chemical Systems with Many Species and Many Channels
|
journal
|
March 2000 |
Efficient formulation of the stochastic simulation algorithm for chemically reacting systems
|
journal
|
September 2004 |
The sorting direct method for stochastic simulation of biochemical systems with varying reaction execution behavior
|
journal
|
February 2006 |
Approximate accelerated stochastic simulation of chemically reacting systems
|
journal
|
July 2001 |
Improved leap-size selection for accelerated stochastic simulation
|
journal
|
October 2003 |
Efficient step size selection for the tau-leaping simulation method
|
journal
|
January 2006 |
Binomial leap methods for simulating stochastic chemical kinetics
|
journal
|
December 2004 |
Avoiding negative populations in explicit Poisson tau-leaping
|
journal
|
August 2005 |
Binomial distribution based τ-leap accelerated stochastic simulation
|
journal
|
January 2005 |
Hybrid Chernoff Tau-Leap
|
journal
|
January 2014 |
Quasiequilibrium approximation of fast reaction kinetics in stochastic biochemical systems
|
journal
|
May 2005 |
Stochastic chemical kinetics and the quasi-steady-state assumption: Application to the Gillespie algorithm
|
journal
|
March 2003 |
Stiffness in stochastic chemically reacting systems: The implicit tau-leaping method
|
journal
|
December 2003 |
The numerical stability of leaping methods for stochastic simulation of chemically reacting systems
|
journal
|
January 2004 |
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
|
journal
|
July 2005 |
Two classes of quasi-steady-state model reductions for stochastic kinetics
|
journal
|
September 2007 |
The slow-scale stochastic simulation algorithm
|
journal
|
January 2005 |
Slow-scale tau-leaping method
|
journal
|
August 2008 |
Nested stochastic simulation algorithms for chemical kinetic systems with multiple time scales
|
journal
|
January 2007 |
Boosted Hybrid Method for Solving Chemical Reaction Systems with Multiple Scales in Time and Population Size
|
journal
|
October 2012 |
Efficient simulation of discrete stochastic reaction systems with a splitting method
|
journal
|
September 2010 |
Strong Convergence for Split-Step Methods in Stochastic Jump Kinetics
|
journal
|
January 2015 |
Approximate simulation of coupled fast and slow reactions for stochastic chemical kinetics
|
journal
|
October 2002 |
Stochastic projective methods for simulating stiff chemical reacting systems
|
journal
|
July 2012 |
Integral tau methods for stiff stochastic chemical systems
|
journal
|
January 2011 |
Tau leaping of stiff stochastic chemical systems via local central limit approximation
|
journal
|
June 2013 |
Chebyshev Methods with Discrete Noise: the Tau-ROCK Methods
|
journal
|
June 2010 |
Simulation methods with extended stability for stiff biochemical Kinetics
|
journal
|
August 2010 |
Multilevel Monte Carlo methods
|
journal
|
April 2015 |
Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics
|
journal
|
January 2012 |
Extending the Multi-level Method for the Simulation of Stochastic Biological Systems
|
journal
|
August 2016 |
Multilevel hybrid split-step implicit tau-leap
|
journal
|
June 2016 |
Error analysis of tau-leap simulation methods
|
journal
|
December 2011 |
Consistency and Stability of Tau-Leaping Schemes for Chemical Reaction Systems
|
journal
|
January 2005 |
Reversible-equivalent-monomolecular tau: A leaping method for “small number and stiff” stochastic chemical systems
|
journal
|
June 2007 |
An adaptive time step scheme for a system of stochastic differential equations with multiple multiplicative noise: Chemical Langevin equation, a proof of concept
|
journal
|
January 2008 |