title: On simulating strongly interacting, stochastic population models. II. Multiple compartments.
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.
authors.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.
authors.forename: David
authors.initials: D
authors.lastname: Wick
authors.forename: Steven G
authors.initials: SG
authors.lastname: Self
mesh_terms: D000818:Animals; D003198:Computer Simulation; D006801:Humans; D018448:Models, Immunological; D011157:Population Dynamics; D013269:Stochastic Processes; D013602:T-Lymphocytes, Cytotoxic / Q000276:immunology; D014777:Virus Diseases / Q000276:immunology*