Stochastic chemical kinetics describes the time evolution of a well-stirred chemically
reacting system in a way that takes into account the fact that molecules come in whole�…

There are two formalisms for mathematically describing the time behavior of a spatially
homogeneous chemical system: The deterministic approach regards thetime evolution as a�…

An exact method is presented for numerically calculating, within the framework of the
stochastic formulation of chemical kinetics, the time evolution of any spatially homogeneous�…

The stochastic dynamical behavior of a well-stirred mixture of N molecular species that
chemically interact through M reaction channels is accurately described by the chemical�…

Markov process theory is basically an extension of ordinary calculus to accommodate
functions whos time evolutions are not entirely deterministic. It is a subject that is becoming�…

The stochastic simulation algorithm SSA is an essentially exact procedure for numerically
simulating the time evolution of a well-stirred chemically reacting system. Despite recent�…

A numerical simulation algorithm that is exact for any time step Δt> 0 is derived for the
Ornstein-Uhlenbeck process X (t) and its time integral Y (t). The algorithm allows one to�…

In cellular systems, where the small number of molecules of a few reactant species
sometimes necessitates a stochastic description of the system's temporal behavior, chemical�…

We outline our perspective on stochastic chemical kinetics, paying particular attention to
numerical simulation algorithms. We first focus on dilute, well-mixed systems, whose�…

The tau-leaping method of simulating the stochastic time evolution of a well-stirred
chemically reacting system uses a Poisson approximation to take time steps that leap over�…