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On simulating strongly interacting, stochastic population models. II. Multiple compartments
Authors:Wick David  Self Steven G
Affiliation:Statistical Center for HIV/AIDS Research and Prevention, Fred Hutchinson Cancer Research Center, 1100 Fairview Ave. N, M2-A200, PO Box 19024, Seattle, WA 98109-1024, USA.
Abstract:In Wick and Stelf [Math. Biosci. 187 (2004) 1], we showed how to simulate a pair of strongly interacting biological populations evolving stochastically over many orders-of-magnitude. Here we generalize the method to any (finite) number of compartments; transitions including births, deaths, progression through life-stages, and mitoses; and arbitrary rate functions. We illustrate the technique for a seven-compartment model of the cellular immune response to a viral infection.
Keywords:Stochastic simulation   Jump process   CTL kinetics   Pathogen eradication   Population extinction   Viral kinetics   Immune-system model
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