Dissecting the determinants of malaria chronicity: why within-host models struggle to reproduce infection dynamics

The duration of infection is fundamental to the epidemiological behaviour of any infectious disease, but remains one of the most poorly understood aspects of malaria. In endemic areas, the malaria parasite Plasmodium falciparum can cause both acute, severe infections and asymptomatic, chronic infections through its interaction with the host immune system. Frequent superinfection and massive parasite genetic diversity make it extremely difficult to accurately measure the distribution of infection lengths, complicating the estimation of basic epidemiological parameters and the prediction of the impact of interventions. Mathematical models have qualitatively reproduced parasite dynamics early during infection, but reproducing long-lived chronic infections remains much more challenging. Here, we construct a model of infection dynamics to examine the consequences of common biological assumptions for the generation of chronicity and the impact of co-infection. We find that although a combination of host and parasite heterogeneities are capable of generating chronic infections, they do so only under restricted parameter choices. Furthermore, under biologically plausible assumptions, co-infection of parasite genotypes can alter the course of infection of both the resident and co-infecting strain in complex non-intuitive ways. We outline the most important puzzles for within-host models of malaria arising from our analysis, and their implications for malaria epidemiology and control.

[1]  M. Stein Large sample properties of simulations using latin hypercube sampling , 1987 .

[2]  R. Antia,et al.  The dynamics of acute malaria infections. I. Effect of the parasite's red blood cell preference , 2008, Proceedings of the Royal Society B: Biological Sciences.

[3]  Amanda Ross,et al.  Mathematical modeling of the impact of malaria vaccines on the clinical epidemiology and natural history of Plasmodium falciparum malaria: Overview. , 2006, The American journal of tropical medicine and hygiene.

[4]  N. Ferguson,et al.  Chaos, persistence, and evolution of strain structure in antigenically diverse infectious agents. , 1998, Science.

[5]  E. Klein,et al.  Cross-Reactive Immune Responses as Primary Drivers of Malaria Chronicity , 2013, Infection and Immunity.

[6]  Penelope Vounatsou,et al.  Relationship between the entomologic inoculation rate and the force of infection for Plasmodium falciparum malaria. , 2006, The American journal of tropical medicine and hygiene.

[7]  F. Nosten,et al.  Close kinship within multiple-genotype malaria parasite infections , 2012, Proceedings of the Royal Society B: Biological Sciences.

[8]  R Heinrich,et al.  Mathematical modelling of the within-host dynamics of Plasmodium falciparum , 2000, Parasitology.

[9]  M. Wahlgren,et al.  var gene transcription dynamics in Plasmodium falciparum patient isolates. , 2010, Molecular and biochemical parasitology.

[10]  Kevin Marsh,et al.  Rapid switching to multiple antigenic and adhesive phenotypes in malaria , 1992, Nature.

[11]  Thomas A. Smith,et al.  Estimating the Numbers of Malaria Infections in Blood Samples Using High-Resolution Genotyping Data , 2012, PloS one.

[12]  M. Frank,et al.  Mutually Exclusive Expression of Virulence Genes by Malaria Parasites Is Regulated Independently of Antigen Production , 2006, PLoS pathogens.

[13]  S. P. Kachur,et al.  The silent threat: asymptomatic parasitemia and malaria transmission , 2013, Expert review of anti-infective therapy.

[14]  R. May,et al.  The maintenance of strain structure in populations of recombining infectious agents , 1996, Nature Medicine.

[15]  L. Aarons,et al.  Population dynamics of untreated Plasmodium falciparum malaria within the adult human host during the expansion phase of the infection , 2002, Parasitology.

[16]  Mario Recker,et al.  Transient cross-reactive immune responses can orchestrate antigenic variation in malaria , 2004, Nature.

[17]  S. Gupta,et al.  Conflicting immune responses can prolong the length of infection in Plasmodium falciparum malaria , 2006, Bulletin of mathematical biology.

[18]  T. Theander,et al.  Expression of Plasmodium falciparum erythrocyte membrane protein 1 in experimentally infected humans , 2005, Malaria Journal.

[19]  S. Gupta,et al.  A mathematical model for a new mechanism of phenotypic variation in malaria , 2005, Parasitology.

[20]  Amanda Ross,et al.  An epidemiologic model of the incidence of acute illness in Plasmodium falciparum malaria. , 2006, The American journal of tropical medicine and hygiene.

[21]  H. Heesterbeek,et al.  How selection forces dictate the variant surface antigens used by malaria parasites , 2012, Journal of The Royal Society Interface.

[22]  F. McKenzie,et al.  Age-structured red blood cell susceptibility and the dynamics of malaria infections , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Leon Danon,et al.  Host community structure and the maintenance of pathogen diversity , 2007, Proceedings of the Royal Society B: Biological Sciences.

[24]  Philip L. F. Johnson,et al.  How do antigenically varying pathogens avoid cross-reactive responses to invariant antigens? , 2012, Proceedings of the Royal Society B: Biological Sciences.

[25]  A. Scherf,et al.  Antigenic variation in malaria: in situ switching, relaxed and mutually exclusive transcription of var genes during intra‐erythrocytic development in Plasmodium falciparum , 1998, The EMBO journal.

[26]  C. Rogier,et al.  Malaria: even more chronic in nature than previously thought; evidence for subpatent parasitaemia detectable by the polymerase chain reaction. , 1996, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[27]  Mario Recker,et al.  Role of stochastic processes in maintaining discrete strain structure in antigenically diverse pathogen populations , 2011, Proceedings of the National Academy of Sciences.

[28]  R. Snow,et al.  PfEMP1, polymorphism and pathogenesis. , 1997, Annals of tropical medicine and parasitology.

[29]  F. Ellis McKenzie,et al.  Host Control of Malaria Infections: Constraints on Immune and Erythropoeitic Response Kinetics , 2008, PLoS Comput. Biol..

[30]  W L Hogarth,et al.  Anaemia of acute malaria infections in non-immune patients primarily results from destruction of uninfected erythrocytes , 1999, Parasitology.

[31]  K. P. Murphy,et al.  Janeway's immunobiology , 2007 .

[32]  Theodore F. Taraschi,et al.  Cloning the P. falciparum gene encoding PfEMP1, a malarial variant antigen and adherence receptor on the surface of parasitized human erythrocytes , 1995, Cell.

[33]  T. Theander,et al.  Structural Conservation Despite Huge Sequence Diversity Allows EPCR Binding by the PfEMP1 Family Implicated in Severe Childhood Malaria , 2015, Cell host & microbe.

[34]  T. Theander,et al.  The Plasmodium falciparum var gene transcription strategy at the onset of blood stage infection in a human volunteer. , 2009, Parasitology international.

[35]  N. White Malaria: a molecular marker of artemisinin resistance , 2014, The Lancet.

[36]  Juliana K. Wambua,et al.  Plasmodium falciparum var Gene Expression Homogeneity as a Marker of the Host-Parasite Relationship under Different Levels of Naturally Acquired Immunity to Malaria , 2013, PloS one.

[37]  Katia Koelle,et al.  The effects of host contact network structure on pathogen diversity and strain structure. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[38]  André Tiaden,et al.  The Dynamics of Natural Plasmodium falciparum Infections , 2012, PloS one.

[39]  G. Wunderlich,et al.  Rapid turnover of Plasmodium falciparum var gene transcripts and genotypes during natural non-symptomatic infections. , 2005, Revista do Instituto de Medicina Tropical de Sao Paulo.

[40]  Joseph D. Smith,et al.  Switches in expression of plasmodium falciparum var genes correlate with changes in antigenic and cytoadherent phenotypes of infected erythrocytes , 1995, Cell.

[41]  N. Nanda,et al.  The complexities of malaria disease manifestations with a focus on asymptomatic malaria , 2012, Malaria Journal.

[42]  L. Rivière,et al.  Antigenic variation in Plasmodium falciparum. , 2008, Annual review of microbiology.

[43]  Amanda Ross,et al.  A model for natural immunity to asexual blood stages of Plasmodium falciparum malaria in endemic areas. , 2006, The American journal of tropical medicine and hygiene.

[44]  S. Kyes,et al.  Variable var transition rates underlie antigenic variation in malaria. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[45]  David L. Smith,et al.  Ross, Macdonald, and a Theory for the Dynamics and Control of Mosquito-Transmitted Pathogens , 2012, PLoS pathogens.

[46]  C. J. McGrath,et al.  Effect of exchange rate return on volatility spill-over across trading regions , 2012 .

[47]  W E Collins,et al.  A retrospective examination of the patterns of recrudescence in patients infected with Plasmodium falciparum. , 1999, The American journal of tropical medicine and hygiene.

[48]  Thomas A. Smith,et al.  Infectiousness of malaria-endemic human populations to vectors. , 2006, The American journal of tropical medicine and hygiene.

[49]  F. L. D’Alexandri,et al.  B-Cell Epitopes in NTS-DBL1α of PfEMP1 Recognized by Human Antibodies in Rosetting Plasmodium falciparum , 2014, PloS one.

[50]  J. Koella,et al.  On the use of mathematical models of malaria transmission. , 1991, Acta tropica.

[51]  T. Gilberger,et al.  Highly co‐ordinated var gene expression and switching in clinical Plasmodium falciparum isolates from non‐immune malaria patients , 2011, Cellular microbiology.

[52]  W. Bossert,et al.  An integrated model of Plasmodium falciparum dynamics. , 2005, Journal of theoretical biology.

[53]  K Dietz,et al.  Genesis, sequestration and survival of Plasmodium falciparum gametocytes: parameter estimates from fitting a model to malariatherapy data. , 2001, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[54]  T. Wellems,et al.  Mechanisms underlying mutually exclusive expression of virulence genes by malaria parasites , 2007, EMBO reports.

[55]  M. Recker,et al.  Erasing the Epigenetic Memory and Beginning to Switch—The Onset of Antigenic Switching of var Genes in Plasmodium falciparum , 2012, PloS one.

[56]  K. Marsh,et al.  CD4+ T Cell Responses to the Plasmodium falciparum Erythrocyte Membrane Protein 1 in Children with Mild Malaria , 2014, The Journal of Immunology.

[57]  N. Ferguson,et al.  The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[58]  K. Dietz,et al.  Plasmodium falciparum parasitaemia described by a new mathematical model , 2001, Parasitology.

[59]  L. Okell,et al.  Asymptomatic malaria infections: detectability, transmissibility and public health relevance , 2014, Nature Reviews Microbiology.

[60]  Kevin Marsh,et al.  Parasite antigens on the infected red cell surface are targets for naturally acquired immunity to malaria , 1998, Nature Medicine.

[61]  P. Kremsner,et al.  Var Gene promoter activation in clonal Plasmodium falciparum isolates follows a hierarchy and suggests a conserved switching program that is independent of genetic background. , 2011, The Journal of infectious diseases.

[62]  David L. Smith,et al.  Malaria's Missing Number: Calculating the Human Component of R0 by a Within-Host Mechanistic Model of Plasmodium falciparum Infection and Transmission , 2013, PLoS Comput. Biol..

[63]  S. Meshnick,et al.  Comparative population structure of Plasmodium falciparum circumsporozoite protein NANP repeat lengths in Lilongwe, Malawi , 2013, Scientific Reports.

[64]  N. Maire,et al.  The distribution of Plasmodium falciparum infection durations. , 2011, Epidemics.

[65]  Kevin Marsh,et al.  Antibody Recognition of Plasmodium falciparum Erythrocyte Surface Antigens in Kenya: Evidence for Rare and Prevalent Variants , 1999, Infection and Immunity.

[66]  T. J. Templeton,et al.  Variant antigen gene expression in malaria , 2006, Cellular microbiology.

[67]  Mihir Kekre,et al.  Generation of Antigenic Diversity in Plasmodium falciparum by Structured Rearrangement of Var Genes During Mitosis , 2014, PLoS genetics.

[68]  S. Kyes,et al.  Antigenic Variation in Plasmodium falciparum Malaria Involves a Highly Structured Switching Pattern , 2011, PLoS pathogens.

[69]  S. Meshnick,et al.  The role of submicroscopic parasitemia in malaria transmission: what is the evidence? , 2014, Trends in parasitology.

[70]  P. Eckhoff,et al.  P. falciparum Infection Durations and Infectiousness Are Shaped by Antigenic Variation and Innate and Adaptive Host Immunity in a Mathematical Model , 2012, PloS one.