The Impact of Recruitment on the Dynamics of an Immune-Suppressed Within-Human-Host Model of the Plasmodium falciparum Parasite

Bull Math Biol. 2019 Nov;81(11):4564-4619. doi: 10.1007/s11538-018-0436-0. Epub 2018 May 24.

Abstract

A model is developed and used to study within-human malaria parasite dynamics. The model integrates actors involved in the development-progression of parasitemia, gametocytogenesis and mechanisms for immune response activation. Model analyses under immune suppression reveal different dynamical behaviours for different healthy red blood cell (HRBC) generation functions. Existence of a threshold parameter determines conditions for HRBCs depletion. Oscillatory dynamics reminiscent of malaria parasitemia are obtained. A dependence exists on the type of recruitment function used to generate HRBCs, with complexities observed for a more nonlinear function. An upper bound that delimits the size of feasible parasitized steady-state solution exists for a logistic function but not a constant function. The upper bound is completely characterized and is affected by parameters associated with HRBCs recruitment, parasitized red blood cells generation and the release and time-to-release of free merozoites. A stable density size for mature gametocytes, the bridge to invertebrate hosts, is derived.

Keywords: Gametocytogenesis; Global stability; Innate and adaptive immune response; Malaria; Parasitemia; Recruitment; Red blood cells; Within-human–host dynamics.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Adaptive Immunity
  • Animals
  • Basic Reproduction Number / statistics & numerical data
  • Computer Simulation
  • Erythrocytes / parasitology
  • Host-Parasite Interactions / immunology
  • Humans
  • Immune Evasion
  • Immune Tolerance
  • Immunity, Innate
  • Malaria, Falciparum / immunology*
  • Malaria, Falciparum / parasitology*
  • Malaria, Falciparum / transmission
  • Mathematical Concepts
  • Models, Biological*
  • Models, Immunological
  • Mosquito Vectors / parasitology
  • Parasitemia / immunology
  • Parasitemia / parasitology
  • Plasmodium falciparum / growth & development
  • Plasmodium falciparum / immunology*
  • Plasmodium falciparum / pathogenicity*