title: A derived Markov process for modeling reaction networks.
abstract: A reaction network arises when a set of reactants (chromosomes, chemicals, economic goods, or the like) recombine at specified rates to produce other reactants in the set. When the reactants are characterized in terms of "reactive regions" (schemata, active sites, building blocks), reaction networks can be modeled by classic stochastic urn models. The corresponding Markov processes are specified by matrices that, for realistic problems, are small enough to allow standard matrix operations and Monte Carlo estimates of important properties of the trajectory of the process, such as the expected time to first occurrence of some designated reactant.
authors: Department of EECS and Department of Psychology, The University of Michigan, Ann Arbor, MI 48109, USA. holland@umich.edu
authors: John H
authors: JH
authors: Holland
mesh_terms: D000465:Algorithms; D008390:Markov Chains; D008432:Mathematical Computing; D008957:Models, Genetic; D015233:Models, Statistical; D008962:Models, Theoretical; D009010:Monte Carlo Method; D013997:Time Factors