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- Daniel_Gillespie abstract "Daniel Thomas Gillespie (born 1938) is a physicist who is best known for his derivation in 1976 of the stochastic simulation algorithm (SSA), also called the Gillespie algorithm. The SSA is a procedure for numerically simulating the time evolution of the molecular populations in a chemically reacting system in a way that takes account of the fact that molecules react in whole numbers and in an essentially random way. Since the late 1990s, the SSA has been widely used to simulate chemical reactions inside living cells, where the small molecular counts of some reactant species often invalidate the differential equations of traditional deterministic chemical kinetics.Gillespie's original derivation of the SSA began by considering how chemical reactions actually occur in a well-stirred dilute gas. Reasoning from physics (and not by heuristically extrapolating deterministic reaction rates to a stochastic context), he showed that the probability that a specific reaction will occur in the next very small time dt could be written as an explicit function of the current species populations multiplied by dt. From that result he deduced, using only the laws of probability, an exact formula for the joint probability density function p(τ,j) of the time τ to the next reaction event and the index j of that reaction. The SSA consists of first generating random values for τ and j according to p(τ,j), and then actualizing the next reaction accordingly. The generating step of the SSA can be accomplished using any of several different methods, and Gillespie's original paper presented two: the "direct method", which follows from a straightforward application of the well known Monte Carlo inversion method for generating random numbers; and the "first-reaction method", which is less straightforward but mathematically equivalent. Later workers derived additional methods for generating random numbers according to Gillespie's function p(τ,j) which offer computational advantages in various specific situations. Gillespie's original derivation of the SSA applied only to well-stirred dilute gas systems. It was widely assumed/hoped that the SSA would also apply when the reactant molecules are solute molecules in a well-stirred dilute solution with many smaller solvent molecules. In fact it does, but that was not definitively established until 2009. The extent to which the SSA is valid under other typical cellular conditions, such as when the reactant molecules crowd each other or when they move by active transport mechanisms along physically confined pathways, remains to be seen.The SSA is one component of stochastic chemical kinetics, a field that Gillespie played a major role in developing and clarifying through his later publications. His broader research has produced articles on cloud physics, random variable theory, Brownian motion, Markov process theory, electrical noise, light scattering in aerosols, and quantum mechanics.".
- Daniel_Gillespie alias "Gillespie, Dan T.".
- Daniel_Gillespie almaMater Johns_Hopkins_University.
- Daniel_Gillespie almaMater Rice_University.
- Daniel_Gillespie field Physics.
- Daniel_Gillespie field Stochastic_process.
- Daniel_Gillespie knownFor Gillespie_algorithm.
- Daniel_Gillespie residence California.
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- Daniel_Gillespie wikiPageExternalLink Rktr06.06.1991.pdf.
- Daniel_Gillespie wikiPageExternalLink 9780199664504.do.
- Daniel_Gillespie wikiPageExternalLink index2.php.
- Daniel_Gillespie wikiPageExternalLink www.ipst.umd.edu.
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- Daniel_Gillespie wikiPageExternalLink 9780199664504_Errata.pdf.
- Daniel_Gillespie wikiPageID "18541597".
- Daniel_Gillespie wikiPageRevisionID "597244703".
- Daniel_Gillespie academicAdvisors "Jan Sengers".
- Daniel_Gillespie almaMater Johns_Hopkins_University.
- Daniel_Gillespie almaMater Rice_University.
- Daniel_Gillespie alternativeNames "Gillespie, Dan T.".
- Daniel_Gillespie caption "Daniel Thomas Gillespie".
- Daniel_Gillespie dateOfBirth "8".
- Daniel_Gillespie doctoralAdvisor "Aihud Pevsner".
- Daniel_Gillespie field "Physics and Stochastic Processes".
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- Daniel_Gillespie name "Daniel Thomas Gillespie".
- Daniel_Gillespie name "Gillespie, Daniel Thomas".
- Daniel_Gillespie nationality "American".
- Daniel_Gillespie residence California.
- Daniel_Gillespie shortDescription "American physicist".
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- Daniel_Gillespie workInstitutions Naval_Air_Weapons_Station_China_Lake.
- Daniel_Gillespie workInstitutions University_of_Maryland,_College_Park.
- Daniel_Gillespie description "American physicist".
- Daniel_Gillespie description "American physicist".
- Daniel_Gillespie subject Category:1938_births.
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- Daniel_Gillespie subject Category:Monte_Carlo_methodologists.
- Daniel_Gillespie subject Category:Researchers_in_stochastics.
- Daniel_Gillespie subject Category:Rice_University_alumni.
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- Daniel_Gillespie comment "Daniel Thomas Gillespie (born 1938) is a physicist who is best known for his derivation in 1976 of the stochastic simulation algorithm (SSA), also called the Gillespie algorithm. The SSA is a procedure for numerically simulating the time evolution of the molecular populations in a chemically reacting system in a way that takes account of the fact that molecules react in whole numbers and in an essentially random way.".
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- Daniel_Gillespie givenName "Daniel Thomas".
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- Daniel_Gillespie name "Daniel Thomas Gillespie".
- Daniel_Gillespie name "Gillespie, Daniel Thomas".
- Daniel_Gillespie surname "Gillespie".