Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 31
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Legros, Mathieu and Bonhoeffer, Sebastian 2016. A combined within-host and between-hosts modelling framework for the evolution of resistance to antimalarial drugs. Journal of The Royal Society Interface, Vol. 13, Issue. 117, p. 20160148.

    Gerardin, Jaline Eckhoff, Philip and Wenger, Edward A 2015. Mass campaigns with antimalarial drugs: a modelling comparison of artemether-lumefantrine and DHA-piperaquine with and without primaquine as tools for malaria control and elimination. BMC Infectious Diseases, Vol. 15, Issue. 1,

    An, Le Thi Thanh and Jäger, Willi 2014. A quantitative model of population dynamics in malaria with drug treatment. Journal of Mathematical Biology, Vol. 69, Issue. 3, p. 659.

    Kitchen, A. D. Chiodini, P. L. and Tossell, J. 2014. Detection of malarial DNA in blood donors - evidence of persistent infection. Vox Sanguinis, Vol. 107, Issue. 2, p. 123.

    Takoutsing, Eddy Bowong, Samuel Yemele, David and Kurths, Jurgen 2014. Effects of Catastrophic Anemia in an Intra-Host Model of Malaria. International Journal of Bifurcation and Chaos, Vol. 24, Issue. 07, p. 1450105.

    White, Michael T Karl, Stephan Battle, Katherine E Hay, Simon I Mueller, Ivo and Ghani, Azra C 2014. Modelling the contribution of the hypnozoite reservoir toPlasmodium vivaxtransmission. eLife, Vol. 3,

    Keegan, Lindsay T and Dushoff, Jonathan 2013. Population-level effects of clinical immunity to malaria. BMC Infectious Diseases, Vol. 13, Issue. 1,

    Snounou, Georges and Pérignon, Jean-Louis 2013. The Epidemiology of Plasmodium vivax.

    Religa, Agnieszka A. and Waters, Andrew P. 2012. Sirtuins of parasitic protozoa: In search of function(s). Molecular and Biochemical Parasitology, Vol. 185, Issue. 2, p. 71.

    Arnot, David E. and Jensen, Anja T.R. 2011.

    Su, Ying Ruan, Shigui and Wei, Junjie 2011. Periodicity and synchronization in blood-stage malaria infection. Journal of Mathematical Biology, Vol. 63, Issue. 3, p. 557.

    CROOKS, L. 2008. Problems with continuous-time malaria models in describing gametocytogenesis. Parasitology, Vol. 135, Issue. 08,

    Mideo, Nicole Day, Troy and Read, Andrew F. 2008. Modelling malaria pathogenesis. Cellular Microbiology, Vol. 10, Issue. 10, p. 1947.

    Porter, Heidi Gamette, Matthew J. Cortes-Hernandez, Dania G. and Jensen, James B. 2008. Asexual Blood Stages of Plasmodium falciparum Exhibit Signs of Secondary Necrosis, but not Classical Apoptosis after Exposure to Febrile Temperature (40 C). Journal of Parasitology, Vol. 94, Issue. 2, p. 473.

    Scherf, Artur Lopez-Rubio, Jose Juan and Riviere, Loïc 2008. Antigenic Variation inPlasmodium falciparum. Annual Review of Microbiology, Vol. 62, Issue. 1, p. 445.

    Tumwiine, J. Luckhaus, S. Mugisha, J. Y. T. and Luboobi, L. S. 2008. An Age-structured Mathematical Model for the Within Host Dynamics of Malaria and the Immune System. Journal of Mathematical Modelling and Algorithms, Vol. 7, Issue. 1, p. 79.

    Gurarie, David and McKenzie, F. Ellis 2007. A stochastic model of immune-modulated malaria infection and disease in children. Mathematical Biosciences, Vol. 210, Issue. 2, p. 576.

    Stark, Jaroslav Chan, Cliburn and George, Andrew J. T. 2007. Oscillations in the immune system. Immunological Reviews, Vol. 216, Issue. 1, p. 213.

    Zorzenon dos Santos, R.M. Pinho, S. T.R. Ferreira, C. P. and da Silva, P. C.A. 2007. On the study of the dynamical aspects of parasitemia in the blood cycle of malaria. The European Physical Journal Special Topics, Vol. 143, Issue. 1, p. 125.

    Frank, Steven A. and Barbour, Alan G. 2006. Within-host dynamics of antigenic variation. Infection, Genetics and Evolution, Vol. 6, Issue. 2, p. 141.


Plasmodium falciparum parasitaemia described by a new mathematical model

  • L. MOLINEAUX (a1), H. H. DIEBNER (a2) (a3), M. EICHNER (a2), W. E. COLLINS (a4), G. M. JEFFERY (a5) and K. DIETZ (a2)
  • DOI:
  • Published online: 01 June 2002

A new mathematical model of Plasmodium falciparum asexual parasitaemia is formulated and fitted to 35 malaria therapy cases making a spontaneous recovery after primary inoculation. Observed and simulated case-histories are compared with respect to 9 descriptive statistics. The simulated courses of parasitaemia are more realistic than any previously published. The model uses a discrete time-step of 2 days. Its realistic behaviour was achieved by the following combination of features (i) intra-clonal antigenic variation, (ii) large variations of the variants' baseline growth rate, depending on both variant and case, (iii) innate autoregulation of the asexual parasite density, variable among cases, (iv) acquired variant-specific immunity and (v) acquired variant-transcending immunity, variable among cases. Aspects of the model's internal behaviour, concerning variant dynamics, as well as the respective contributions of the three control mechanisms (iii) – (v), are displayed. Some implications for pathogenesis and control are discussed.

Corresponding author
Corresponding author: Department of Medical Biometry, University of Tübingen, Westbahnhofstrasse 55, D-72070, Tübingen, Germany. Tel: +49 7071 29 72112. Fax: +49 7071 29 5075. E-mail:
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

  • ISSN: 0031-1820
  • EISSN: 1469-8161
  • URL: /core/journals/parasitology
Please enter your name
Please enter a valid email address
Who would you like to send this to? *