High Quality Content by WIKIPEDIA articles! Stochastic simulation algorithms and methods were initially developed to analyse chemical reactions involving large numbers of species with complex reaction kinetics. The first algorithm, the Gillespie algorithm was proposed by Dan Gillespie in 1977. It is an exact procedure for numerically simulating the time evolution of a well-stirred chemically reacting system. The algorithm is a Monte Carlo type method. In order to determine the next event in a stochastic simulation, the rates of all possible changes to the state of the model are computed, and then ordered in an array. Next, the cumulative sum of the array is taken, and the final cell contains the number R, where R is the total event rate.

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