P. falciparum Infection Durations and Infectiousness Are Shaped by Antigenic Variation and Innate and Adaptive Host Immunity in a Mathematical Model

Many questions remain about P. falciparum within-host dynamics, immunity, and transmission–issues that may affect public health campaign planning. These gaps in knowledge concern the distribution of durations of malaria infections, determination of peak parasitemia during acute infection, the relationships among gametocytes and immune responses and infectiousness to mosquitoes, and the effect of antigenic structure on reinfection outcomes. The present model of intra-host dynamics of P. falciparum implements detailed representations of parasite and immune dynamics, with structures based on minimal extrapolations from first-principles biology in its foundations. The model is designed to quickly and readily accommodate gains in mechanistic understanding and to evaluate effects of alternative biological hypothesis through in silico experiments. Simulations follow the parasite from the liver-stage through the detailed asexual cycle to clearance while tracking gametocyte populations. The modeled immune system includes innate inflammatory and specific antibody responses to a repertoire of antigens. The mechanistic focus provides clear explanations for the structure of the distribution of infection durations through the interaction of antigenic variation and innate and adaptive immunity. Infectiousness to mosquitoes appears to be determined not only by the density of gametocytes but also by the level of inflammatory cytokines, which harmonizes an extensive series of study results. Finally, pre-existing immunity can either decrease or increase the duration of infections upon reinfection, depending on the degree of overlap in antigenic repertoires and the strength of the pre-existing immunity.

[1]  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.

[2]  E. Riley,et al.  Differential Induction of TGF-β Regulates Proinflammatory Cytokine Production and Determines the Outcome of Lethal and Nonlethal Plasmodium yoelii Infections 1 , 2003, The Journal of Immunology.

[3]  W. Collins,et al.  A retrospective examination of sporozoite- and trophozoite-induced infections with Plasmodium falciparum in patients previously infected with heterologous species of Plasmodium: effect on development of parasitologic and clinical immunity. , 1999, The American journal of tropical medicine and hygiene.

[4]  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.

[5]  D. Kwiatkowski,et al.  Anti-TNF therapy inhibits fever in cerebral malaria. , 1993, The Quarterly journal of medicine.

[6]  X. Su,et al.  The large diverse gene family var encodes proteins involved in cytoadherence and antigenic variation of plasmodium falciparum-infected erythrocytes , 1995, Cell.

[7]  E. Peterson,et al.  Pathogenicity, stability, and immunogenicity of a knobless clone of Plasmodium falciparum in Colombian owl monkeys , 1985, Infection and immunity.

[8]  K. Marsh,et al.  Correction: Corrigendum: The blood-stage malaria antigen PfRH5 is susceptible to vaccine-inducible cross-strain neutralizing antibody , 2011, Nature Communications.

[9]  David L. Tabb,et al.  A proteomic view of the Plasmodium falciparum life cycle , 2002, Nature.

[10]  R. Sauerwein,et al.  Submicroscopic Plasmodium falciparum gametocyte densities frequently result in mosquito infection. , 2007, The American journal of tropical medicine and hygiene.

[11]  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.

[12]  T. Theander,et al.  Malaria-Induced Acquisition of Antibodies to Plasmodium falciparum Variant Surface Antigens , 2002, Infection and Immunity.

[13]  B. Lowe,et al.  B cell memory to 3 Plasmodium falciparum blood-stage antigens in a malaria-endemic area. , 2005, The Journal of infectious diseases.

[14]  W. Collins,et al.  A retrospective examination of sporozoite- and trophozoite-induced infections with Plasmodium falciparum: development of parasitologic and clinical immunity during primary infection. , 1999, The American journal of tropical medicine and hygiene.

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

[16]  K. Mendis,et al.  Cytokines kill malaria parasites during infection crisis: extracellular complementary factors are essential , 1991, The Journal of experimental medicine.

[17]  J. Aguiar,et al.  Agglutination of Plasmodium falciparum-infected erythrocytes from east and west African isolates by human sera from distant geographic regions. , 1992, The American journal of tropical medicine and hygiene.

[18]  R. Sinden Plasmodium differentiation in the mosquito. , 1999, Parassitologia.

[19]  E. Riley,et al.  Transforming Growth Factor (cid:98) Production Is Inversely Correlated with Severity of Murine Malaria Infection , 1998 .

[20]  R. Anderson,et al.  The within-host cellular dynamics of bloodstage malaria: theoretical and experimental studies , 1996, Parasitology.

[21]  Q. Cheng,et al.  Measurement of Plasmodium falciparum growth rates in vivo: a test of malaria vaccines. , 1997, The American journal of tropical medicine and hygiene.

[22]  W. Bossert,et al.  The Dynamics ofPlasmodium falciparumBlood-stage Infection , 1997 .

[23]  R. Antia,et al.  On the Control of Acute Rodent Malaria Infections by Innate Immunity , 2010, PloS one.

[24]  R. Sinden,et al.  Plasmodium falciparum gametocytes: their longevity and infectivity , 1977, Parasitology.

[25]  M. Nowak,et al.  Periodic and chaotic host-parasite interactions in human malaria. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[26]  J. Baird Age-dependent characteristics of protection v. susceptibility to Plasmodium falciparum. , 1998, Annals of tropical medicine and parasitology.

[27]  M. Dziegiel,et al.  A Novel Antibody-Dependent Cellular Cytotoxicity Mechanism Involved in Defense against Malaria Requires Costimulation of Monocytes FcγRII and FcγRIII1 , 2007, The Journal of Immunology.

[28]  R. Anderson,et al.  The dynamics of drug action on the within-host population growth of infectious agents: melding pharmacokinetics with pathogen population dynamics. , 1998, Journal of theoretical biology.

[29]  Wes Hinsley,et al.  Reducing Plasmodium falciparum Malaria Transmission in Africa: A Model-Based Evaluation of Intervention Strategies , 2010, PLoS medicine.

[30]  R. Coppel,et al.  Cytoadhesion and falciparum malaria: going with the flow. , 1995, Parasitology today.

[31]  Colin J. Sutherland,et al.  Determination of the Processes Driving the Acquisition of Immunity to Malaria Using a Mathematical Transmission Model , 2007, PLoS Comput. Biol..

[32]  Nicolas Maire,et al.  What Should Vaccine Developers Ask? Simulation of the Effectiveness of Malaria Vaccines , 2008, PloS one.

[33]  The life of Plasmodium: an overview. , 2005 .

[34]  F. Verra,et al.  Natural selection on apical membrane antigen-1 of Plasmodium falciparum. , 1999, Parassitologia.

[35]  R M May,et al.  Non-linear phenomena in host—parasite interactions , 1989, Parasitology.

[36]  D. Kwiatkowski,et al.  The regulation of malaria parasitaemia: parameter estimates for a population model , 1995, Parasitology.

[37]  P. Eckhoff A malaria transmission-directed model of mosquito life cycle and ecology , 2011, Malaria Journal.

[38]  Kevin Marsh,et al.  The role of antibodies to Plasmodium falciparum-infected-erythrocyte surface antigens in naturally acquired immunity to malaria. , 2002, Trends in microbiology.

[39]  A. Holder,et al.  A single fragment of a malaria merozoite surface protein remains on the parasite during red cell invasion and is the target of invasion- inhibiting antibodies , 1990, The Journal of experimental medicine.

[40]  A. Robertson,et al.  The Structure and Development of Plasmodium falciparum Gametocytes in the Internal Organs and Peripheral Circulation. , 1935 .

[41]  K. Mendis,et al.  Cytokine-mediated inactivation of malarial gametocytes is dependent on the presence of white blood cells and involves reactive nitrogen intermediates. , 1993, Immunology.

[42]  S. Lal,et al.  Epidemiology and control of malaria , 1999, Indian journal of pediatrics.

[43]  A. Kelso,et al.  The Mechanism and Significance of Deletion of Parasite-specific CD4+ T Cells in Malaria Infection , 2002, The Journal of experimental medicine.

[44]  Christl A. Donnelly,et al.  Immunity to non-cerebral severe malaria is acquired after one or two infections , 1999, Nature Medicine.

[45]  R. Sinden,et al.  Regulation of infectivity of Plasmodium to the mosquito vector. , 1996, Advances in parasitology.

[46]  W. Bossert,et al.  The dynamics of Plasmodium falciparum blood-stage infection. , 1997, Journal of theoretical biology.

[47]  J. Botella de Maglia,et al.  [Prevention of malaria]. , 1999, Revista clinica espanola.

[48]  Kevin Marsh,et al.  Immunity to malaria: more questions than answers , 2008, Nature Immunology.

[49]  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.

[50]  I. Sherman Molecular approaches to malaria , 2005 .

[51]  S. Kyes,et al.  Molecular aspects of antigenic variation in Plasmodium falciparum. , 2005 .

[52]  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.

[53]  J. Meunier,et al.  Comparison of artificial membrane feeding with direct skin feeding to estimate infectiousness of Plasmodium falciparum gametocyte carriers to mosquitoes. , 2000, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[54]  David L Smith,et al.  Revisiting the Basic Reproductive Number for Malaria and Its Implications for Malaria Control , 2007, PLoS biology.

[55]  A. Saul Models for the in-host dynamics of malaria revisited: errors in some basic models lead to large over-estimates of growth rates , 1998, Parasitology.

[56]  D. Carucci,et al.  Molecular approaches to malaria , 2004, Molecular microbiology.

[57]  P. Kaye Infectious diseases of humans: Dynamics and control , 1993 .

[58]  R. Sinden,et al.  Identification of xanthurenic acid as the putative inducer of malaria development in the mosquito , 1998, Nature.

[59]  K. Day,et al.  Cross-species regulation of Plasmodium parasitemia in semi-immune children from Papua New Guinea. , 2003, Trends in parasitology.

[60]  J. Dushoff,et al.  The entomological inoculation rate and Plasmodium falciparum infection in African children , 2005, Nature.

[61]  A. Ghani,et al.  Modelling the Impact of Artemisinin Combination Therapy and Long-Acting Treatments on Malaria Transmission Intensity , 2008, PLoS medicine.

[62]  M. Dziegiel,et al.  A novel antibody-dependent cellular cytotoxicity mechanism involved in defense against malaria requires costimulation of monocytes FcgammaRII and FcgammaRIII. , 2007, Journal of immunology.

[63]  S. Hoffman,et al.  IL-12 and NK cells are required for antigen-specific adaptive immunity against malaria initiated by CD8+ T cells in the Plasmodium yoelii model. , 1999, Journal of immunology.

[64]  W. Collins,et al.  Primate malarias. , 1974, Advances in veterinary science and comparative medicine.

[65]  C. Chougnet,et al.  Human immune responses to the Plasmodium falciparum ring-infected erythrocyte surface antigen (Pf155/RESA) after a decrease in malaria transmission in Madagascar. , 1993, The American journal of tropical medicine and hygiene.

[66]  A. Tami,et al.  Sympatric Plasmodium falciparum isolates from Venezuela have structured var gene repertoires , 2003, Malaria Journal.

[67]  C. Coban,et al.  Toll-like receptor 9 mediates innate immune activation by the malaria pigment hemozoin , 2005, The Journal of experimental medicine.

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

[69]  K. Marsh,et al.  Regulation of immune response by Plasmodium‐infected red blood cells , 2005, Parasite immunology.

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

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

[72]  K. Dietz,et al.  Mathematical model of the first wave of Plasmodium falciparum asexual parasitemia in non-immune and vaccinated individuals. , 2006, The American journal of tropical medicine and hygiene.

[73]  Victoria C. Barclay,et al.  Partitioning Regulatory Mechanisms of Within-Host Malaria Dynamics Using the Effective Propagation Number , 2011, Science.

[74]  K Dietz,et al.  Distribution of survival times of deliberate Plasmodium falciparum infections in tertiary syphilis patients. , 2006, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[75]  L. Molineaux,et al.  The Garki project: Research on the epidemiology and control of malaria in the Sudan savanna of West Africa , 1980 .

[76]  R. Sinden,et al.  Complete Development of Mosquito Phases of the Malaria Parasite in Vitro , 2002, Science.

[77]  Gerry Killeen,et al.  Relationships between host infectivity to mosquitoes and asexual parasite density in Plasmodium falciparum. , 2006, The American journal of tropical medicine and hygiene.

[78]  Thomas A. Smith,et al.  An approach to model the costs and effects of case management of Plasmodium falciparum malaria in sub-saharan Africa. , 2006, The American journal of tropical medicine and hygiene.

[79]  J. Langhorne,et al.  Mouse models of blood-stage malaria infections: immune responses and cytokines involved in protection and pathology. , 2002, Chemical immunology.

[80]  M. Gatton,et al.  The Plasmodium falciparum var gene switching rate, switching mechanism and patterns of parasite recrudescence described by mathematical modelling , 2002, Parasitology.

[81]  R. Sinden Malaria, sexual development and transmission: retrospect and prospect , 2009, Parasitology.

[82]  W E Collins,et al.  A retrospective examination of secondary sporozoite- and trophozoite-induced infections with Plasmodium falciparum: development of parasitologic and clinical immunity following secondary infection. , 1999, The American journal of tropical medicine and hygiene.

[83]  Catherine E. Costello,et al.  Glycosylphosphatidylinositol anchors of Plasmodium falciparum: molecular characterization and naturally elicited antibody response that may provide immunity to malaria pathogenesis. , 2000 .

[84]  E. Riley,et al.  Innate immunity to malaria , 2004, Nature Reviews Immunology.

[85]  J. Banchereau,et al.  High levels of circulating IL‐10 in human malaria , 1994, Clinical and experimental immunology.

[86]  Ogobara K. Doumbo,et al.  The pathogenic basis of malaria , 2002, Nature.

[87]  D. Kwiatkowski,et al.  Early cytokine induction by Plasmodium falciparum is not a classical endotoxin‐like process , 1999, European journal of immunology.

[88]  V. Adabayeri,et al.  Low plasma concentrations of interleukin 10 in severe malarial anaemia compared with cerebral and uncomplicated malaria , 1998, The Lancet.

[89]  M. Tanner,et al.  Towards a comprehensive simulation model of malaria epidemiology and control , 2008, Parasitology.

[90]  G. Killeen,et al.  Estimating the duration of Plasmodium falciparum infection from trials of indoor residual spraying. , 2004, The American journal of tropical medicine and hygiene.

[91]  Alexander Lange,et al.  Antigenic Diversity, Transmission Mechanisms, and the Evolution of Pathogens , 2009, PLoS Comput. Biol..

[92]  P. Moulin,et al.  Natural killer cell cytokine production, not cytotoxicity, contributes to resistance against blood-stage Plasmodium chabaudi AS infection. , 1997, Journal of immunology.

[93]  J. Beier,et al.  Quantitation of Plasmodium falciparum sporozoites transmitted in vitro by experimentally infected Anopheles gambiae and Anopheles stephensi. , 1991, The American journal of tropical medicine and hygiene.

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

[95]  V. Nussenzweig,et al.  Intrasplenic immunization with infected hepatocytes: a mouse model for studying protective immunity against malaria pre‐erythrocytic stage , 2013, Immunology.

[96]  Jack S. Richards,et al.  The Relationship between Anti-merozoite Antibodies and Incidence of Plasmodium falciparum Malaria: A Systematic Review and Meta-analysis , 2010, PLoS medicine.

[97]  A. Holder,et al.  Merozoite surface protein 1, immune evasion, and vaccines against asexual blood stage malaria. , 1999, Parassitologia.

[98]  C. Drakeley,et al.  The epidemiology of Plasmodium falciparum gametocytes: weapons of mass dispersion. , 2006, Trends in parasitology.

[99]  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.

[100]  O. Billker,et al.  Gametocytes and Gametes , 2005 .

[101]  D E EYLES,et al.  Infectivity to mosquitoes of Plasmodium falciparum as related to gametocyte density and duration of infection. , 1955, The American journal of tropical medicine and hygiene.

[102]  S. Shorte,et al.  Imaging movement of malaria parasites during transmission by Anopheles mosquitoes , 2004, Cellular microbiology.

[103]  M. Tsuji,et al.  Gamma Interferon Production Is Critical for Protective Immunity to Infection with Blood-Stage Plasmodium berghei XAT but Neither NO Production nor NK Cell Activation Is Critical , 1999, Infection and Immunity.

[104]  Teun Bousema,et al.  Reduction of transmission from malaria patients by artemisinin combination therapies: a pooled analysis of six randomized trials , 2008, Malaria Journal.

[105]  Richard J Maude,et al.  The role of simple mathematical models in malaria elimination strategy design , 2009, Malaria Journal.

[106]  Q. Cheng,et al.  Effect of vaccination with 3 recombinant asexual-stage malaria antigens on initial growth rates of Plasmodium falciparum in non-immune volunteers. , 2000, Vaccine.

[107]  Richard J Maude,et al.  The last man standing is the most resistant: eliminating artemisinin-resistant malaria in Cambodia , 2009, Malaria Journal.

[108]  E. Riley,et al.  Innate immune response to malaria: rapid induction of IFN-gamma from human NK cells by live Plasmodium falciparum-infected erythrocytes. , 2002, Journal of immunology.

[109]  M. Molyneux,et al.  Impairment of humoral immunity to Plasmodium falciparum malaria in pregnancy by HIV infection , 2004, The Lancet.

[110]  M. Galinski,et al.  8 A Mechanistic Approach to Merozoite Invasion of Red Blood Cells: Merozoite Biogenesis, Rupture, and Invasion of Erythrocytes , 2005 .

[111]  E. Riley,et al.  Innate Immune Response to Malaria: Rapid Induction of IFN-γ from Human NK Cells by Live Plasmodium falciparum-Infected Erythrocytes1 , 2002, The Journal of Immunology.