MATHEMATICAL MODELING OF THE IMPACT OF MALARIA VACCINES ON THE CLINICAL EPIDEMIOLOGY AND NATURAL HISTORY OF PLASMODIUM FALCIPARUM MALARIA: OVERVIEW

THOMAS SMITH Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by THOMAS SMITH in
Current site
Google Scholar
PubMed
Close
,
GERRY F. KILLEEN Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by GERRY F. KILLEEN in
Current site
Google Scholar
PubMed
Close
,
NICOLAS MAIRE Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by NICOLAS MAIRE in
Current site
Google Scholar
PubMed
Close
,
AMANDA ROSS Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by AMANDA ROSS in
Current site
Google Scholar
PubMed
Close
,
LOUIS MOLINEAUX Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by LOUIS MOLINEAUX in
Current site
Google Scholar
PubMed
Close
,
FABRIZIO TEDIOSI Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by FABRIZIO TEDIOSI in
Current site
Google Scholar
PubMed
Close
,
GUY HUTTON Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by GUY HUTTON in
Current site
Google Scholar
PubMed
Close
,
JÜRG UTZINGER Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by JÜRG UTZINGER in
Current site
Google Scholar
PubMed
Close
,
KLAUS DIETZ Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by KLAUS DIETZ in
Current site
Google Scholar
PubMed
Close
, and
MARCEL TANNER Swiss Tropical Institute, Basel, Switzerland; Ifakara Health Research and Development Center, Ifakara, Tanzania; World Health Organization, Geneva, Switzerland; University of Tübingen, Tübingen, Germany

Search for other papers by MARCEL TANNER in
Current site
Google Scholar
PubMed
Close
Restricted access

We report a major project to develop integrated mathematical models for predicting the epidemiologic and economic effects of malaria vaccines both at the individual and population level. The project has developed models of the within-host dynamics of Plasmodium falciparum that have been fitted to parasite density profiles from malariatherapy patients, and simulations of P. falciparum epidemiology fitted to field malariologic datasets from a large ensemble of settings across Africa. The models provide a unique platform for predicting both the short- and long-term effects of malaria vaccines on the burden of disease, allowing for the temporal dynamics of effects on immunity and transmission. We discuss how the models can be used to obtain robust cost-effectiveness estimates for a wide range of malaria vaccines and vaccination delivery strategies in different eco-epidemiologic settings. This paper outlines for a non-mathematical audience the approach we have taken and its underlying rationale.

Author Notes

Reprint requests: Thomas Smith, Swiss Tropical Institute, Socinstrasse 57, PO Box, CH-4002, Basel, Switzerland.
  • 1

    Anderson RM, May RM, 1991. Infectious Diseases of Humans: Dynamics and Control. Oxford, United Kingdom: Oxford University Press.

    • PubMed
    • Export Citation
  • 2

    Ballou WR, Arevalo-Herrera M, Carucci D, Richie TL, Corradin G, Diggs C, Druilhe P, Giersing BK, Saul A, Heppner DG, Kester KE, Lanar DE, Lyon J, Hill AV, Pan W, Cohen JD, 2004. Update on the clinical development of candidate malaria vaccines. Am J Trop Med Hyg 71 (2 Suppl):239–247.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 3

    Snow RW, Guerra CA, Noor AM, Myint HY, Hay SI, 2005. The global distribution of clinical episodes of malaria. Nature 434 :214–217.

  • 4

    Breman JG, Egan A, Keusch GT, 2001. The intolerable burden of malaria: a new look at the numbers. Am J Trop Med Hyg 64 (Suppl): iv–vii.

    • PubMed
    • Export Citation
  • 5

    Greenwood B, Bojang K, Whitty C, Targett G, 2005. Malaria. Lancet: 1487–1498.

  • 6

    McKenzie FE, Samba EM, 2004. The role of mathematical modeling in evidence-based malaria control. Am J Trop Med Hyg 71 (Suppl):94–96.

  • 7

    Ross R, 1911. The Prevention of Malaria. Second edition. London: Murray.

  • 8

    Dietz K, Molineaux L, Thomas A, 1974. A malaria model tested in the African savannah. Bull World Health Org 50 :347–357.

  • 9

    Molineaux L, Gramiccia G, 1980. The Garki Project. Geneva: World Health Organization.

    • PubMed
    • Export Citation
  • 10

    Macdonald G, 1957. The Epidemiology and Control of Malaria. London: Oxford University Press.

    • PubMed
    • Export Citation
  • 11

    Macdonald G, Cuellar CB, Foll CV, 1968. The dynamics of malaria. Bull World Health Organ 38 :743–755.

  • 12

    Paget-McNicol S, Gatton M, Hastings I, Saul A, 2002. The Plasmodium falciparum var gene switching rate, switching mechanism and patterns of parasite recrudescence described by mathematical modelling. Parasitology 124 :225–235.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 13

    Molineaux L, Diebner HH, Eichner M, Collins WE, Jeffery GM, Dietz K, 2001. Plasmodium falciparum parasitaemia described by a new mathematical model. Parasitology 122 :379–391.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 14

    Recker M, Nee S, Bull P, Kinyanjui S, Marsh K, Newbold C, Gupta S, 2004. Transient cross-reactive immune responses can orchestrate antigenic variation in malaria. Nature 429 :555–558.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 15

    McQueen PG, McKenzie FE, 2004. Age-structured red blood cell susceptibility and the dynamics of malaria infections. Proc Natl Acad Sci USA 101 :9161–9166.

  • 16

    Jakeman GN, Saul A, Hogarth WL, Collins WE, 1999. Anaemia of acute malaria infections in non-immune patients primarily results from destruction of uninfected erythrocytes. Parasitology 119 :127–133.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 17

    Halloran ME, Struchiner CJ, Spielman A, 1989. Modeling malaria vaccines. II: Population effects of stage-specific malaria vaccines dependent on natural boosting. Math Biosci 94 :115–149.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 18

    Halloran ME, Longini IM Jr, Struchiner CJ, 1996. Estimability and interpretation of vaccine efficacy using frailty mixing models. Am J Epidemiol 144 :83–97.

  • 19

    Alonso PL, Molyneux ME, Smith T, 1995. Design and methodology of field-based intervention trials of malaria vaccines. Parasitol Today 11 :197–200.

  • 20

    Alonso PL, Smith T, Schellenberg JR, Masanja H, Mwankusye S, Urassa H, Bastos de Azevedo I, Chongela J, Kobero S, Menendez C, 1994. Randomised trial of efficacy of SPf66 vaccine against Plasmodium falciparum malaria in children in southern Tanzania. Lancet 344 :1175–1181.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 21

    Alonso PL, Sacarlal J, Aponte J, Leach A, Macete E, Milman J, Mandomando I, Spiessens B, Guinovart C, Espasa M, Bassat Q, Aide P, Ofori-Anyinam O, Navia MM, Corachan S, Ceuppens M, Dubois MC, Demoitie MA, Dubovsky F, Menendez C, Tornieporth N, Ballou WR, Thompson R, Cohen J, 2004. Efficacy of the RTS,S/AS02A vaccine against Plasmodium falciparum infection and disease in young African children: randomised controlled trial. Lancet 364 :1411–1420.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 22

    Snow R, Marsh K, 1995. Will reducing Plasmodium falciparum transmission alter malaria mortality among African children? Parasitol Today 11 :188–190.

  • 23

    Trape JF, Rogier C, 1996. Combating malaria morbidity and mortality by reducing transmission. Parasitol Today 12 :236–240.

  • 24

    Snow R, Omumbo J, Lowe B, Molyneux CS, Obiero JO, Palmer A, Weber MW, Pinder M, Nahlen B, Obonyo C, Newbold C, Gupta S, Marsh K, 1997. Relation between severe malaria morbidity in children and level of Plasmodium falciparum transmission in Africa. Lancet 349 :1650–1654.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 25

    Newman P, 1965. Malaria Eradication and Population Growth, with Special Reference to Ceylon and British Guiana. Ann Arbor, MI: University of Michigan, Bureau of Public Health Economics. Research Series.

    • PubMed
    • Export Citation
  • 26

    Bradley DJ, 1991. Morbidity and mortality at Pare-Taveta, Kenya and Tanzania, 1954–66: The effects of a period of malaria control. Feachem RG, Jamison DT, eds. Disease and Mortality in Sub-Saharan Africa. Washington, DC: World Bank.

    • PubMed
    • Export Citation
  • 27

    Binka F, Hodgson A, Adjuik M, Smith T, 2002. Mortality in a seven-and-a-half-year follow-up of a trial of insecticide-treated mosquito nets in Ghana. Trans R Soc Trop Med Hyg 96 :597–599.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 28

    Diallo DA, Cousens SN, Cuzin-Ouattara N, Nebie I, Ilboudo-Sanogo E, Esposito F, 2004. Child mortality in a West African population protected with insecticide-treated curtains for a period of up to 6 years. Bull World Health Organ 82 :85–91.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 29

    D’Alessandro U, 1997. Severity of malaria and level of Plasmodium falciparum transmission. Lancet 350 :362.

  • 30

    Lengeler C, Smith T, Armstrong Schellenberg J, 1997. Focus on the effect of bednets on malaria morbidity and mortality. Parasitol Today 13 :123–124.

  • 31

    Molineaux L, 1997. Nature’s experiment: what implications for malaria prevention? Lancet 349 :1636–1637.

  • 32

    Smith T, Killeen G, Lengeler C, Tanner M, 2004. Relationships between the outcome of Plasmodium falciparum infection and the intensity of transmission in Africa. Am J Trop Med Hyg 71 (Suppl 2):80–86.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 33

    Coleman PG, Goodman CA, Mills A, 1999. Rebound mortality and the cost-effectiveness of malaria control: potential impact of increased mortality in late childhood following the introduction of insecticide treated nets. Trop Med Int Health 4 :175–186.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 34

    Holding PA, Snow R, 2001. Impact of Plasmodium falciparum malaria on performance and learning: review of the evidence. Am J Trop Med Hyg 64 :68–75.

  • 35

    Sachs J, Malaney P, 2002. The economic and social burden of malaria. Nature 415 :680–685.

  • 36

    Utzinger J, Tozan Y, Doumani F, Singer BH, 2002. The economic payoffs of integrated malaria control in the Zambian copper-belt between 1930 and 1950. Trop Med Int Health 7 :657–677.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 37

    World Health Organisation, 1997. Guidelines for the Evaluation of Plasmodium falciparum Vaccines in Populations Exposed to Natural Infections. Geneva: World Health Organization. TDR/MAL/VAC/97.

    • PubMed
    • Export Citation
  • 38

    Ross R, 1916. An application of the theory of probabilities to the study of a priori pathometry, Part I. Proc R Soc A 92 :204–230.

  • 39

    Halloran ME, Struchiner CJ, 1992. Modeling transmission dynamics of stage-specific malaria vaccines. Parasitol Today 8 :77–85.

  • 40

    Anderson RM, May RM, Gupta S, 1989. Non-linear phenomena in host-parasite interactions. Parasitology 99 (Suppl):S59–S79.

  • 41

    Struchiner CJ, Halloran ME, Spielman A, 1989. Modeling malaria vaccines. I: New uses for old ideas. Math Biosci 94 :87–113.

  • 42

    De Zoysa AP, Herath PR, Abhayawardana TA, Padmalal UK, Mendis KN, 1988. Modulation of human malaria transmission by anti-gamete transmission blocking immunity. Trans R Soc Trop Med Hyg 82 :548–553.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 43

    Koella JC, 1991. On the use of mathematical models of malaria transmission. Acta Trop 49 :1–25.

  • 44

    Breman JG, Alilio MS, Mills A, 2004. Conquering the intolerable burden of malaria: what’s new, what’s needed: a summary. Am J Trop Med Hyg 71 (Suppl 2):1–15.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 45

    Drummond MB, O’Brien B, Stoddart GL, Torrance G, 1997. Methods for the Economic Evaluation of Health Care Programmes. Second edition. Oxford, United Kingdom: Oxford University Press.

    • PubMed
    • Export Citation
  • 46

    Gold MR, Gold SR, Weinstein MC, 1996. Cost-Effectiveness in Health and Medicine. Oxford, United Kingdom: Oxford University Press.

    • PubMed
    • Export Citation
  • 47

    Malarky G, 1999. Economic Evaluation in Healthcare. Auckland, New Zealand: Adis International.

    • PubMed
    • Export Citation
  • 48

    Graves PM, 1998. Comparison of the cost-effectiveness of vaccines and insecticide impregnation of mosquito nets for the prevention of malaria. Ann Trop Med Parasitol 92 :399–410.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 49

    Killeen GF, Ross A, Smith T, 2006. Infectiousness of malaria-endemic human populations to vectors. Am J Trop Med Hyg 75 (Suppl 2):38–45.

  • 50

    Maire N, Smith T, Ross A, Owusu-Agyei S, Dietz K, Molineaux L, 2006. A model for natural immunity to asexual blood stages of Plasmodium falciparum in endemic areas. Am J Trop Med Hyg 75 (Suppl 2):19–31.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 51

    Ross A, Smith T, 2006. The effect of malaria transmission intensity on neonatal mortality in endemic areas. Am J Trop Med Hyg 75 (Suppl 2):74–81.

  • 52

    Ross A, Maire N, Molineaux L, Smith T, 2006. An epidemiologic model of severe morbidity and mortality caused by Plasmodium falciparum. Am J Trop Med Hyg 75 (Suppl 2):63–73.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 53

    Ross A, Killeen GF, Smith T, 2006. Relationship of host infectivity to mosquitoes and asexual parasite density in Plasmodium falciparum. Am J Trop Med Hyg 75 (Suppl 2):32–37.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 54

    Smith T, Maire N, Dietz K, Killeen GF, Vounatsou P, Molineaux L, Tanner M, 2006. Relationships between the entomologic inoculation rate and the force of infection for Plasmodium falciparum malaria. Am J Trop Med Hyg 75 (Suppl 2):11–18.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 55

    Smith T, Ross A, Maire N, Rogier C, Trape JF, Molineaux L, 2006. An epidemiologic model of the incidence of acute illness in Plasmodium falciparum malaria. Am J Trop Med Hyg 75 (Suppl 2):56–62.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 56

    Maire N, Aponte JJ, Ross A, Thompson R, Alonso P, Utzinger J, Tanner M, Smith T, 2006. Modeling a field trial of the RTS,S/ASO2A malaria vaccine. Am J Trop Med Hyg 75 (Suppl 2):104–110.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 57

    Bojang K, Milligan PJM, Pinder M, Vigneron L, Alloueche A, Kester KE, Ballou WR, Conway D, Reece WHH, Gothard P, Yamuah L, Delchambre M, Voss G, Greenwood BM, Hill A, McAdam KP, Tornieporth N, Cohen JD, Doherty T, 2001. Efficacy of RTS,S/AS02 malaria vaccine against Plasmodium falciparum infection in semi-immune adult men in The Gambia: a randomised trial. Lancet 358 :1927–1934.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 58

    Maire N, Tediosi F, Ross A, Smith T, 2006. Predictions of the epidemiologic impact of introducing a pre-erythrocytic malaria vaccine into the expanded program on immunization in sub-Saharan Africa. Am J Trop Med Hyg 75 (Suppl 2):111–118.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 59

    Tediosi F, Hutton G, Maire N, Smith T, Ross A, Tanner M 2006. Predicting the cost-effectiveness of introducing a pre-erythrocytic malaria vaccine into the expanded program on immunization in Tanzania. Am J Trop Med Hyg 75 (Suppl 2):131–143.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 60

    Hutton G, Tediosi F, 2006. The costs of introducing a malaria vaccine into the expanded program on immunization in Tanzania. Am J Trop Med Hyg 75 (Suppl 2):119–130.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 61

    Tediosi F, Maire N, Smith T, Hutton G, Utzinger J, Ross A, Tanner M, 2006. An approach to model the costs and effects of case management of Plasmodium falciparum malaria in sub-Saharan Africa. Am J Trop Med Hyg 75 (Suppl 2):90–103.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 62

    Dietz K, Raddatz G, Molineaux L, 2006. A mathematical model of the first wave of Plasmodium falciparum asexual parasitemia in non-immune and vaccinated individuals. Am J Trop Med Hyg 75 (Suppl 2):46–55.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 63

    Molineaux L, Dietz K, 1999. Review of intra-host models of malaria. Parassitologia 41 :221–231.

  • 64

    McKenzie FE, Bossert WH, 1998. The optimal production of gametocytes by Plasmodium falciparum. J Theor Biol 193 :419–428.

  • 65

    Gordon R, 1998. Java Native Interface. Upper Saddle River, NJ: Prentice-Hall PTR.

    • PubMed
    • Export Citation
  • 66

    Grosso W, 2001. Java RMI. Sebastopol, CA: O’Reilly.

  • 67

    Smith T, Hii J, Genton B, Muller I, Booth M, Gibson N, Narara A, Alpers MP, 2001. Associations of peak shifts in age-prevalence for human malarias with bed net coverage. Trans R Soc Trop Med Hyg 95 :1–6.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 68

    Cancre N, Tall A, Rogier C, Faye J, Sarr O, Trape JF, Spiegel A, Bois F, 2000. Bayesian analysis of an epidemiologic model of Plasmodium falciparum malaria infection in Ndiop, Senegal. Am J Epidemiol 152 :760–770.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 69

    Hagmann R, Charlwood JD, Gil V, Ferreira C, do Rosario V, Smith TA, 2003. Malaria and its possible control on the island of Principe. Malar J 2 :15.

  • 70

    Diggle P, Gratton RJ, 1984. Monte Carlo methods of inference for implicit statistical models. J R Statist Soc B 46 :193–227.

  • 71

    Kirkpatrick S, Gelatt CD Jr, Vecchi MP, 1983. Optimization by simulated annealing. Science 220 :671–680.

  • 72

    Press WH, Flannery BP, Teukolsky SA, Vetterling WT, 1988. Numerical Recipes in C: The Art Scientific Computing. Cambridge, United Kingdom: Cambridge University Press.

    • PubMed
    • Export Citation
  • 73

    Carneiro I, Smith T, Lusingu J, Malima R, Utzinger J, Drakeley C, 2006. Modeling the relationship between the population prevalence of Plasmodium falciparum malaria and anemia. Am J Trop Med Hyg 75 (Suppl 2):82–91.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 74

    Port GR, Boreham PFL, Bryan JH, 1980. The relationship of host size to feeding by mosquitos of the Anopheles-gambiae Giles Complex (Diptera, Culicidae). Bull Entomol Res 70 :133–144.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 75

    Beier JC, Oster CN, Onyango FK, Bales JD, Sherwood JA, Perkins PV, Chumo DK, Koech DV, Whitmire RE, Roberts CR, 1994. Plasmodium falciparum incidence relative to entomologic inoculation rates at a site proposed for testing malaria vaccines in western Kenya. Am J Trop Med Hyg 50 :529–536.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 76

    Greenwood BM, Groenendaal F, Bradley AK, Greenwood AM, Shenton F, Tulloch S, Hayes R, 1987. Ethnic differences in the prevalence of splenomegaly and malaria in The Gambia. Ann Trop Med Parasitol 81 :345–354.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 77

    Modiano D, Petrarca V, Sirima BS, Nebie I, Diallo D, Esposito F, Coluzzi M, 1996. Different response to Plasmodium falciparum malaria in west African sympatric ethnic groups. Proc Natl Acad Sci USA 93 :13206–13211.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 78

    Dye C, Hasibeder G, 1986. Population dynamics of mosquito-borne disease: effects of flies which bite some people more frequently than others. Trans R Soc Trop Med Hyg 80 :69–77.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 79

    Smith T, Felger I, Tanner M, Beck H-P, 1999. Premunition in Plasmodium falciparum infection: insights from the epidemiology of multiple infections. Trans R Soc Trop Med Hyg 93 (Suppl):59–64.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 80

    Struik SS, Riley EM, 2004. Does malaria suffer from lack of memory? Immunol Rev 201 :268–290.

  • 81

    Deloron P, Chougnet C, 1992. Is immunity to malaria really short-lived? Parasitol Today 8 :375–378.

  • 82

    Genton B, Betuela I, Felger I, Al-Yaman F, Anders R, Saul A, Rare L, Baisor M, Lorry K, Brown G, Pye D, Irving DO, Smith TA, Beck H-P, Alpers MP, 2002. A recombinant blood-stage malaria vaccine reduces Plasmodium falciparum density and exerts selective pressure on parasite populations in a phase 1-2b trial in Papua New Guinea. J Infect Dis 185 :820–827.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 83

    Gandon S, Mackinnon M, Nee S, Read AF, 2001. Imperfect vaccines and the evolution of pathogen virulence. Nature 414 :751–756.

  • 84

    Smith T, 2002. Imperfect vaccines and imperfect models. Trend Ecol Evol 17 :154–156.

  • 85

    Collins WE, Jeffery GM, 1999. A retrospective examination of the patterns of recrudescence in patients infected with Plasmodium falciparum. Am J Trop Med Hyg 61 :44–48.

    • PubMed
    • Search Google Scholar
    • Export Citation
  • 86

    Reyburn H, Drakeley C, Carneiro I, Jones C, Cox J, Bruce J, Riley E, Greenwood B, Whitty C, 2004. The epidemiology of severe malaria due to Plasmodium falciparum at different transmission intensities in NE Tanzania. LSHTM Malaria Centre R 2002–2003 :6–7.

    • PubMed
    • Search Google Scholar
    • Export Citation
Past two years Past Year Past 30 Days
Abstract Views 1664 1034 47
Full Text Views 1535 71 6
PDF Downloads 1221 86 2
 

 

 

 
 
Affiliate Membership Banner
 
 
Research for Health Information Banner
 
 
CLOCKSS
 
 
 
Society Publishers Coalition Banner
Save