Mathematical Biosciences and Engineering (MBE)

Differential impact of sickle cell trait on symptomatic and asymptomatic malaria
Pages: 877 - 898, Issue 4, October 2012

doi:10.3934/mbe.2012.9.877      Abstract        References        Full text (661.3K)                  Related Articles

Eunha Shim - Department of Epidemiology, Graduate School of Public Health, University of Pittsburgh, Pittsburgh, PA 15261, United States (email)
Zhilan Feng - Department of Mathematics, Purdue University, West Lafayette, IN 47907, United States (email)
Carlos Castillo-Chavez - Mathematics, Computational and Modeling Sciences Center, Arizona State University, PO Box 871904, Tempe, AZ 85287, United States (email)

1 M. Aidoo, D. J. Terlouw, M. S. Kolczak, P. D. McElroy, F. O. ter Kuile, S. Kariuki, B. L. Nahlen, A. A. Lal and V. Udhayakumar, Protective effects of the sickle cell gene against malaria morbidity and mortality, Lancet, 359 (2002), 1311-1312.
2 S. J. Allen, S. Bennett, E. M. Riley, P. A. Rowe, P. H. Jakobsen, A. O'Donnell and B. M. Greenwood, Morbidity from malaria and immune responses to defined Plasmodium. falciparum antigens in children with sickle cell trait in The Gambia, Trans R Soc Trop Med Hyg., 86 (1992), 494-498.
3 A. C. Allison, Two lessons from the interface of genetics and medicine, Genetics, 166 (2004), 1591-1599.
4 Z. Y. Aliyu, G. J. Kato, J. 6th Taylor, A. Babadoko, A. I. Mamman, V. R. Gordeuk and M. T. Gladwin, Sickle cell disease and pulmonary hypertension in Africa: A global perspective and review of epidemiology, pathophysiology, and management, Am J Hematol., 83 (2008), 63-70.
5 L. M. Arriola and J. M. Hyman, Being sensitive to uncertainty, Science and Engineering, 9 (2007), 10-20.
6 O. J. Briët, P. Vounatsou, D. M. Gunawardena, G. N. Galappaththy and P. H. Amerasinghe, Temporal correlation between malaria and rainfall in Sri Lanka, Malar J., 7 (2008), 77.
7 R. Carter and K. N. Mendis, Evolutionary and historical aspects of the burden of malaria, Clin Microbiol Rev., 15 (2002), 564-594.
8 L. F. Chaves, A. Kaneko and M. Pascual, Random, top-down, or bottom-up coexistence of parasites: malaria population dynamics in multi-parasitic settings, Ecology, 90 (2009), 2414-2425.
9 C. Chiyaka, W. Garira and S. Dube, Effects of treatment and drug resistance on the transmission dynamics of malaria in endemic areas, Theor Popul Biol., 75 (2009), 14-29.
10 J. R. Coura, M. Suez-Mutis and S. Ladeia-Andrade, A new challenge for malaria control in Brazil: asymptomatic Plasmodium infection-a review, Mem. Inst. Oswaldo Cruz., 101 (2006), 229-237.
11 M. Creary, D. Williamson and R. Kulkarni, Sickle cell disease: current activities, public health implications, and future directions, Journal of Women's Health, 16 (2007), 575-582.
12 T. Day, Insights from Price's equation into evolutionary epidemiology, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 71 (2006), 23-43.       
13 N. Dhingra, P. Jha, V. P. Sharma, A. A. Cohen, R. M. Jotkar, P. S. Rodriguez, D. G. Bassani, W. Suraweera, R. Laxminarayan, R. Peto and Million Death Study Collaborators, Adult and child malaria mortality in India: a nationally representative mortality survey, Lancet, 376 (2010), 1768-1774.
14 O. Diekmann, J. A. P. Heesterbeek and J. A. J. Metz, On the definition and the computation of the basic reproduction ratio $R_0$ in models for infectious diseases in heterogeneous population, J. Math. Biol., 28 (1990), 365.       
15 Z. Feng and C. Castillo-Chavez, The influence of infectious disease on population genetics, Mathemtical Biosciences and Engineering, 3 (2006), 467-483.       
16 Z. Feng, D. L. Smith, F. E. McKenzie and S. A. Levin, Coupling ecology and evolution: malaria and the S-gene across time scales, Math. Biosci., 189 (2004), 1-19.       
17 Z. Feng, Y. Yi and H. Zhu, Fast and slow dynamics of malaria and the S-gene frequency, Journal of Dynamics and Differential Equations, 16 (2004), 869-896.       
18 J. A. Filipe, E. M. Riley, C. J. Drakeley, C. J. Sutherland and A. C. Ghani, Determination of the processes driving the acquisition of immunity to malaria using a mathematical transmission model, PLoS Comput Biol., 3 (2007), e255.       
19 W. Gu, C. M. Mbogo, J. I. Githure, J. L. Regens, G. F. Killeen, C. M. Swalm, G. Yan and J. C. Beier, Low recovery rates stabilize malaria endemicity in areas of low transmission in coastal Kenya, Acta Tropica, 86 (2003), 71-81.
20 M. Harada, T. Ikeshoji and S. Suguri, Studies on vector control by osquito Candle, in "Malaria research in the Solomon Islands, Inter Group Co." (Eds. A. Ishii, N. Nihei and M. Sasa), Tokyo, 1988, 120-125.
21 H. Ishikawa, A. Ishii, N. Nagai, H. Ohmae, M. Harada, S. Suguri and J. Leafasia, A mathematical model for the transmission of Plasmodium vivax malaria, Parasitol. Int., 52 (2003), 81-93.
22 T. R. Jones, Quantitative aspects of the relationship between the sickle-cell gene and malaria, Parasitol. Today, 13 (1997), 107.
23 A. Kaneko, A community-directed strategy for sustainable malaria elimination on islands: short-term MDA integrated with ITNs and robust surveillance, Acta Trop., 114 (2010), 177-183.
24 A. Kaneko, G. Taleo, M. Kalkoa, J. Yaviong, P. A. Reeve, M. Ganczakowski, C. Shirakawa, K. Palmer, T. Kobayakawa and A. Björkman, Malaria epidemiology, glucose 6-phosphate dehydrogenase deficiency and human settlement in the Vanuatu Archipelago, Acta Trop., 70 (1998), 285-302.
25 S. E. Kern, A. B. Tiono, M. Makanga, A. D. Gbadoe, Z. Premji, O. Gaye, I. Sagara, D. Ubben, M. Cousin, F. Oladiran, O. Sander and B. Ogutu, Community screening and treatment of asymptomatic carriers of Plasmodium falciparum with artemether-lumefantrine to reduce malaria disease burden: A modelling and simulation analysis, Malar J., 10 (2011), 210.
26 D. P. Kwiatkowski, How malaria has affected the human genome and what human genetics can teach us about malaria, Am J. Hum Genet., 77 (2005), 171-192.
27 S. Males, O. Gaye and A. Garcia, Long-term asymptomatic carriage of Plasmodium falciparum protects from malaria attacks: A prospective study among Senegalese children, Clin Infect Dis., 46 (2008), 516-22.
28 S. L. Nsobya, S. Parikh, F. Kironde, G. Lubega, M. R. Kamya, P. J. Rosenthal and G. Dorsey, Molecular evaluation of the natural history of asymptomatic parasitemia in Ugandan children, J Infect Dis., 189 (2004), 2220-2226.
29 L. C. Okell, C. J. Drakeley, A. C. Ghani, T. Bousema and C. J. Sutherland, Reduction of transmission from malaria patients by artemisinin combination therapies: a pooled analysis of six randomized trials, Malar J, 7 (2008), 125.
30 L. C. Okell, J. T. Griffin, I. Kleinschmidt, T. D. Hollingsworth, T. S. Churcher, M. J. White, T. Bousema, C. J. Drakeley and A. C. Ghani, The potential contribution of mass treatment to the control of Plasmodium falciparum malaria, PLoS One, 6 (2011), e20179.
31 P. Olliaro, J. Cattani and D. Wirth, Malaria, the submerged disease, JAMA, 275 (1996), 230-233.
32 W. Pongtavornpinyo, S. Yeung, I. M. Hastings, A. M. Dondorp, N. P. Day and N. J. White, Spread of anti-malarial drug resistance: mathematical model with implications for ACT drug policies, Malar J., 7 (2008), 229.
33 R. Ross, "The Prevention of Malaria," John Murray, London, 1911.
34 S. Ruan, D. Xiao and J. C. Beier, On the delayed ross-macdonald model for malaria transmission, Bulletin of Mathematical Biology, 70 (2008), 1098-1114.       
35 B. Singh, S. L. Kim, A. Matusop, A. Radhakrishnan, S. S. Shamsul, J. Cox-Singh, J., et al., A large focus of naturally acquired Plasmodium knowlesi infections in human beings, Lancet, 363 (2004), 1017-24.
36 M. Vafa, M. Troye-Blomberg, J. Anchang, A. Garcia and F. Migot-Nabias, Multiplicity of Plasmodium falciparum infection in asymptomatic children in Senegal: relation to transmission, age and erythrocyte variants, Malaria J., 7 (2008), 17.
37 M. Van Veelen, On the use of the Price equation, Journal of Theoretical Biology, 237 (2005), 412-426       
38 T. N. Williams, Human red blood cell polymorphisms and malaria, Curr Opin Microbiol., 9 (2006), 388-394.
39 S. Yeung, W. Pongtavornpinyo, I. M. Hastings, A. J. Mills and N. J. White, Antimalarial drug resistance, artemisinin-based combination therapy, and the contribution of modelling to elucidating policy choices, Am. J. Trop. Med. Hyg., 71 (2004), 179-186.
40 Centers for Disease Control and Prevention. The history of Malaria, an ancient disease, http://www.cdc.gov/malaria/history/index.htm.
41 Time Healthland Drug-Resistant malaria is spreading, and it could be a public health disaster, http://healthland.time.com/2012/04/06/drug-resistant-malaria-is-spreading-and-it-could-be-a-public-health-disaster/#ixzz1s8mlEOP8.
42 http://web.worldbank.org/WBSITE/EXTERNAL/COUNTRIES/AFRICAEXT/ 0,,contentMDK:20266824menuPK:538117 pagePK:146736 piPK:226340 theSitePK:258644,00.html
43 World Health Organization, Fifty-eighth World Health Assembly, Report by the Secretariat. Malaria, http://apps.who.int/gb/ebwha/pdf_files/WHA58-REC1/english/A58_2005_REC1-en.pdf

Go to top