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Malaria prevalence amongst Brazilian Indians assessed by a new mathematical model

Published online by Cambridge University Press:  15 May 2009

M. N. Burattini ,
E. Massad ,
F. A. B. Coutinho  and
R. G. Baruzzi
M. N. Burattini
Affiliation:
Discipline of Medical Informatics, School of Medicine, The University of São Paulo, São Paulo, Brazil Discipline of Infectious and Parasitic Diseases, Escola Paulista de Medicina, São Paulo, Brazil
E. Massad
Affiliation:
Discipline of Medical Informatics, School of Medicine, The University of São Paulo, São Paulo, Brazil
F. A. B. Coutinho
Affiliation:
Institute of Physics of the University of São Paulo, São Paulo, Brazil
R. G. Baruzzi
Affiliation:
Department of Preventive Medicine, Escola Paulista de Medicina, São Paulo, Brazil
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Summary

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An alternative way to estimate the endemic level of malaria amongst Brazilian indians is proposed. This is achieved by estimating the age-related “force of infection’ of malaria (the effective inoculation rate), applying a mathematical model, described elsewhere, to serological data. In addition we present a way to estimate the Basic Reproductive Rate of malaria in the same area. The results have shown a good degree of accuracy in describing the endemic pattern of malaria in the area, and also indicate some relevant aspects of its age distribution related to the design of control strategies.

Type
Research Article
Information
Epidemiology & Infection , Volume 111 , Issue 3 , December 1993 , pp. 525 - 538
Copyright
Copyright © Cambridge University Press 1993

References

1.Ross, R. The prevention of malaria, 2nd ed. London: John Murray, 1911.Google ScholarPubMed
2.Macdonald, G. The epidemiology and control of malaria. London: Oxford University Press. 1957.Google Scholar
3.Molineaux, L. The epidemiology of human malaria as an explanation of its distribution, including some implication for its control. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill Livingston, 1988: 913–98.Google Scholar
4.Bruce-Chwatt, LJ. Quantitative epidemiology of tropical diseases. Trans Roy Soc Trop Med Hyg 1969; 63: 131–43.CrossRefGoogle ScholarPubMed
5.Bruce-Chwatt, LJ. Essential malariology, 2nd ed. London: William Heinemann Medical Books, 1985.Google Scholar
6.Ross, R. Studies in malaria. London: John Murray, 1928.Google Scholar
7.Macdonald, G. The analysis of sporozoite rate. Trop Dis Bull 1952; 49: 569–85.Google ScholarPubMed
8.Macdonald, G. The analysis of equilibrium in malaria. Trop Dis Bull 1952; 49: 813–28.Google ScholarPubMed
9.Macdonald, G. The measurement of malaria transmission. Proc Roy Soc Med 1955; 48: 295–301.CrossRefGoogle ScholarPubMed
10. Committee of Experts on Malaria. Malarial Conference in Equatorial Africa. Technical Report WHO/MAL/38. Kampala: World Health Organization, 1951.Google Scholar
11.Meetselaar, D, Van Thiel, P. Classification of malaria. Trop Geogr Med 1959; 11: 157–61.Google Scholar
12.Burattini, MN, Contribuicao para o estudo da dinamica da transmissao de malaria a partir de inquerito soroepidemiologico transversal. Apresentacao de um novo model de analise matematica para estimar indices malariometricos. [Doctor Degree Thesis]. São Paulo, São Paulo: Escola Paulista de Medicina, 1989.Google Scholar
13.Burattini, MN, Massad, E, Coutinho, FAB. Malarial transmission rates estimated from serological data. Epidemiol Infect 1993; 111: 503–523.CrossRefGoogle Scholar
14.Draper, CC, Voller, A, Carpenter, RG. The epidemiologic interpretation of serologic data in malaria. Am J Trop Med Hyg 1972; 21: 696–703.CrossRefGoogle ScholarPubMed
15.Van Druten, JAM. A mathematical-statistical model for the analysis of cross-sectional serological data with special reference to the epidemiology of malaria. A methodology for detection of change in the trend of transmission. [PhD Thesis]. Nijmegen. Nederlands: The Katholiek Universiteit, 1981.Google Scholar
16.Muench, H. Catalytic models in epidemiology. Cambridge, Massachusetts: Harvard University Press, 1959.CrossRefGoogle Scholar
17.Papoulis, A. Probability, random variables and stochastic processes. International students edition. Tokyo: McGraw-Hill, 1981.Google Scholar
18.Dietz, K. Mathematical models for transmission and control of malaria. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill-Livingstone, 1988: 1091–133.Google Scholar
19.Burattini, MN. Epidemiologia da malaria no parque indigena do Xingu. Avaliacao de um novo metodo de analise matematica para dados sorologicos. [Master Degree Thesis]. São Paulo, São Paulo: Escola Paulista de Medicina, 1987.Google Scholar
20.Burattini, MN, Baruzzi, RG, Wucker, S. Impact of DDT spraying in malaria transmission at an Indian reservation in central Brazil. Proceedings of the International Congress for Infectious Diseases. Rio de Janeiro: International Society for Infectious Diseases, 1988: 153.Google Scholar
21.Burattini, MN, Baruzzi, RG, Sanchez-Ruiz, MCA, Castelo, A, Wey, SB. Comparaçao entre indice esplenico e sorologia como indices malariometricos na area do Baixo Xingu. Rev Soc Bras Med Trop 1986; 19 (suppl): 88.Google Scholar
22.Burattini, MN, Tanaka, N, Baruzzi, RG, Turcato, G, Acceturi, CA. Epidemia de malaria entre os indios Txucarramae, parque indigena do Xingu, Brasil Central. Rev Soc Bras Med Trop 1986; 19 (suppl): 88.Google Scholar
23.Guthe, T, Vaisman, A, Paris-Hamelin, A. La technique des anticorps fluorescents pratiquée sur sang desséché et élué. Bull WHO 1964; 31: 87–94.Google Scholar
24.Sulzer, AJ, Wilson, M, Hall, EC. Indirect fluorescent antibody tests for parasitic diseases. V. An evaluation of a thick-smear antigen in the IFA test for malaria antibodies. Am J Trop Med Hyg 1969; 18: 199–285.CrossRefGoogle Scholar
25.Turner, PR. Numerical analysis. London: Macmillan Education Ltd, 1989.Google Scholar
26.Macdonald, G, Cuellar, CB, Foll, CV. The dynamics of malaria. Bull WHO 1968; 38: 743–55.Google ScholarPubMed
27.Macdonald, G. The analysis of malaria epidemics. Trop Dis Bull 1953; 50: 871–89.Google ScholarPubMed
28.Wernsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne and New York: Churchill-Livingstone, 1988.Google Scholar
29.Molineaux, L, Muir, DA, Spencer, HC, Wernsdorfer, WH. The epidemiology of malaria and its measurements. In: Wenrsdorfer, WH, McGregor, I, eds. Malaria: principles and practice of malariology. Edinburgh, London, Melbourne, New York: Churchill-Livingstone, 1988: 999–1089.Google Scholar
30.Picq, JJ. Epidémiologie due paludisme. Premiére endémie mondiale. Med Trop (Mars) 1982; 42: 365–81.Google Scholar
31. Comite de Expertos de la OMS en Paludismo. Informes Tecnicos no. 16549: Organizacion Mundial de la Salud, 1974.Google Scholar
32. Comite de Expertos de la OMS en Paludismo. Informes Tecnicos no. 17640: Organizacion Mundial de la Salud, 1979.Google Scholar