PMID: 11909120Mar 23, 2002Paper

Dynamic analysis of a parasite population model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
G J Sibona, C A Condat

Abstract

We study the dynamics of a model that describes the competitive interaction between an invading species (a parasite) and its antibodies in an living being. This model was recently used to examine the dynamical competition between Tripanosoma cruzi and its antibodies during the acute phase of Chagas' disease. Depending on the antibody properties, the model yields three types of outcomes, corresponding, respectively, to healing, chronic disease, and host death. Here, we study the dynamics of the parasite-antibody interaction with the help of simulations, obtaining phase trajectories and phase diagrams for the system. We show that, under certain conditions, the size of the parasite inoculation can be crucial for the infection outcome and that a retardation in the stimulated production of an antibody species may result in the parasite gaining a definitive advantage. We also find a criterion for the relative sizes of the parameters that are required if parasite-generated decoys are indeed to help the invasion. Decoys may also induce a qualitatively different outcome: a limit cycle for the antibody-parasite population phase trajectories.

References

Jan 1, 1980·Advances in Parasitology·Z Brener
Nov 1, 1983·Applied and Environmental Microbiology·L M MalloryM Alexander
Nov 6, 1998·Journal of Theoretical Biology·G A FunkU Kalinke
Feb 1, 2000·Parasitology Today·B Reina-San-MartinP Minoprio
May 9, 2000·Nature·C F Ware
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H C TuckwellJ F Vibert
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Ohira, T Yamane
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P S Landa, A Rabinovitch
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M BernaschiF Castiglione
Feb 13, 2001·Journal of Theoretical Biology·S C IsasiC A Condat
Oct 10, 2006·Biophysical Chemistry·C A CondatG Perego

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Citations

Mar 30, 2010·Bio Systems·Viviane Galvão, José Garcia Vivas Miranda
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G J SibonaS Cossy Isasi
Sep 14, 2013·Journal of Theoretical Biology·S P Vega Royero, G J Sibona

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