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Mathematical Modeling of Malaria Infection with Innate and Adaptive Immunity in Individuals and Agent-Based Communities

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  • David Gurarie
  • Stephan Karl
  • Peter A Zimmerman
  • Charles H King
  • Timothy G St. Pierre
  • Timothy M E Davis

Abstract

Background: Agent-based modeling of Plasmodium falciparum infection offers an attractive alternative to the conventional Ross-Macdonald methodology, as it allows simulation of heterogeneous communities subjected to realistic transmission (inoculation patterns). Methodology/Principal Findings: We developed a new, agent based model that accounts for the essential in-host processes: parasite replication and its regulation by innate and adaptive immunity. The model also incorporates a simplified version of antigenic variation by Plasmodium falciparum. We calibrated the model using data from malaria-therapy (MT) studies, and developed a novel calibration procedure that accounts for a deterministic and a pseudo-random component in the observed parasite density patterns. Using the parasite density patterns of 122 MT patients, we generated a large number of calibrated parameters. The resulting data set served as a basis for constructing and simulating heterogeneous agent-based (AB) communities of MT-like hosts. We conducted several numerical experiments subjecting AB communities to realistic inoculation patterns reported from previous field studies, and compared the model output to the observed malaria prevalence in the field. There was overall consistency, supporting the potential of this agent-based methodology to represent transmission in realistic communities. Conclusions/Significance: Our approach represents a novel, convenient and versatile method to model Plasmodium falciparum infection.

Suggested Citation

  • David Gurarie & Stephan Karl & Peter A Zimmerman & Charles H King & Timothy G St. Pierre & Timothy M E Davis, 2012. "Mathematical Modeling of Malaria Infection with Innate and Adaptive Immunity in Individuals and Agent-Based Communities," PLOS ONE, Public Library of Science, vol. 7(3), pages 1-13, March.
  • Handle: RePEc:plo:pone00:0034040
    DOI: 10.1371/journal.pone.0034040
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    References listed on IDEAS

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    1. Mario Recker & Sean Nee & Peter C. Bull & Sam Kinyanjui & Kevin Marsh & Chris Newbold & Sunetra Gupta, 2004. "Transient cross-reactive immune responses can orchestrate antigenic variation in malaria," Nature, Nature, vol. 429(6991), pages 555-558, June.
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