On simulating strongly interacting, stochastic population models. II. Multiple compartments

Mathematical Biosciences
David Wick, Steven G Self

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.

References

Aug 21, 1995·Journal of Theoretical Biology·R J De Boer, A S Perelson
Apr 25, 1995·Proceedings of the National Academy of Sciences of the United States of America·A R Mclean, C A Michie
Apr 5, 1996·Science·M A Nowak, C R Bangham
Aug 7, 1996·Journal of Theoretical Biology·M Oprea, A S Perelson
May 7, 1997·Journal of Theoretical Biology·S PilyuginR Antia
Mar 11, 1998·Proceedings. Biological Sciences·D WodarzM A Nowak
Jan 12, 1999·Nature Medicine·S J BrodieS R Riddell
Apr 1, 2000·International Immunology·D WodarzM A Nowak
Jul 14, 2001·Science·J Sprent, D F Tough
Mar 6, 2002·The Journal of Experimental Medicine·Joseph N BlattmanRafi Ahmed
Nov 12, 2003·Mathematical Biosciences·David Wick, Steven G Self

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Citations

Jun 23, 2006·PLoS Computational Biology·W David WickSteven G Self
Feb 12, 2008·Statistics in Medicine·W David Wick

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