메뉴 건너뛰기




Volumn 37, Issue 10-11, 2013, Pages 6786-6808

A mathematical model of tuberculosis transmission with heterogeneity in disease susceptibility and progression under a treatment regime for infectious cases

Author keywords

Genetic; Heterogeneity; Mathematical model; Self cure; Treatment; Tuberculosis

Indexed keywords

GENETIC; HETEROGENEITY; SELF CURE; TREATMENT; TUBERCULOSIS;

EID: 84878201152     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2013.01.039     Document Type: Article
Times cited : (33)

References (48)
  • 1
    • 0036845362 scopus 로고    scopus 로고
    • Comparing epidemic tuberculosis in demographically distinct heterogeneous populations
    • Murphy B.M., Singer B.H., Anderson S., Kirschner D. Comparing epidemic tuberculosis in demographically distinct heterogeneous populations. Math. Biosci. 2002.
    • (2002) Math. Biosci.
    • Murphy, B.M.1    Singer, B.H.2    Anderson, S.3    Kirschner, D.4
  • 2
    • 0038042464 scopus 로고    scopus 로고
    • On treatment of tuberculosis in heterogeneous populations
    • Murphy B.M., Singer B.H., Kirschner D. On treatment of tuberculosis in heterogeneous populations. J. Theor. Biol. 2003, 223:391-404.
    • (2003) J. Theor. Biol. , vol.223 , pp. 391-404
    • Murphy, B.M.1    Singer, B.H.2    Kirschner, D.3
  • 5
    • 43949122632 scopus 로고    scopus 로고
    • Case detection and direct observation therapy strategy (DOTS) in Nigeria: its effect on TB dynamics
    • Okuonghae D., Aihie V. Case detection and direct observation therapy strategy (DOTS) in Nigeria: its effect on TB dynamics. J. Biol. Syst. 2008, 16(1):1-31.
    • (2008) J. Biol. Syst. , vol.16 , Issue.1 , pp. 1-31
    • Okuonghae, D.1    Aihie, V.2
  • 6
    • 77049094004 scopus 로고    scopus 로고
    • Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria
    • (Epidemiology)
    • Okuonghae D., Korobeinikov A. Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria. Math. Modell. Nat. Phenom. 2007, 2(1):113-128. (Epidemiology).
    • (2007) Math. Modell. Nat. Phenom. , vol.2 , Issue.1 , pp. 113-128
    • Okuonghae, D.1    Korobeinikov, A.2
  • 7
    • 77958465140 scopus 로고    scopus 로고
    • Analysis of a mathematical model for tuberculosis: what could be done to increase case detection
    • Okuonghae D., Omosigho S.E. Analysis of a mathematical model for tuberculosis: what could be done to increase case detection. J. Theor. Biol. 2011, 269:31-45.
    • (2011) J. Theor. Biol. , vol.269 , pp. 31-45
    • Okuonghae, D.1    Omosigho, S.E.2
  • 9
    • 84878169404 scopus 로고    scopus 로고
    • World Health Organization, Global tuberculosis control-surveillance, planning, financing, WHO Report,
    • World Health Organization, Global tuberculosis control-surveillance, planning, financing, WHO Report, 2009.
    • (2009)
  • 10
    • 0033859730 scopus 로고    scopus 로고
    • Clinical predisposition to clinical tuberculosis: bridging the gap between simple and complex inheritance
    • Abel L., Casanova J. Clinical predisposition to clinical tuberculosis: bridging the gap between simple and complex inheritance. Am. J. Hum. Genet. 2000, 67(2):274-277.
    • (2000) Am. J. Hum. Genet. , vol.67 , Issue.2 , pp. 274-277
    • Abel, L.1    Casanova, J.2
  • 11
    • 0032485526 scopus 로고    scopus 로고
    • The evolving relation between humans and Mycobacterium tuberculosis
    • Bloom B.R., Small P.M. The evolving relation between humans and Mycobacterium tuberculosis. New Engl. J. Med. 1998, 338:677-678.
    • (1998) New Engl. J. Med. , vol.338 , pp. 677-678
    • Bloom, B.R.1    Small, P.M.2
  • 12
    • 0037202688 scopus 로고    scopus 로고
    • Current medical treatment for tuberculosis
    • Chan E.D., Iseman M.D. Current medical treatment for tuberculosis. Br. Med. J. 2002, 325:1282-1286.
    • (2002) Br. Med. J. , vol.325 , pp. 1282-1286
    • Chan, E.D.1    Iseman, M.D.2
  • 13
    • 0025214721 scopus 로고
    • A 62-dose, 6-month therapy for pulmonary and extrapulmonary tuberculosis: a twice-weekly, directly observed, and cost-effective regimen
    • Cohn D.L., Catlin B.J., Peterson K.L., Judson F.N., Sbarbaro J.A. A 62-dose, 6-month therapy for pulmonary and extrapulmonary tuberculosis: a twice-weekly, directly observed, and cost-effective regimen. Ann. Intern. Med. 1990, 112:407-415.
    • (1990) Ann. Intern. Med. , vol.112 , pp. 407-415
    • Cohn, D.L.1    Catlin, B.J.2    Peterson, K.L.3    Judson, F.N.4    Sbarbaro, J.A.5
  • 14
    • 0034064678 scopus 로고    scopus 로고
    • Modeling the epidemiology and economics of directly observed therapy in Baltimore
    • Chaulk C.P., Friedman M., Dunning R. Modeling the epidemiology and economics of directly observed therapy in Baltimore. Int. J. Tuberc. Lung. Dis. 2000, 4:201-207.
    • (2000) Int. J. Tuberc. Lung. Dis. , vol.4 , pp. 201-207
    • Chaulk, C.P.1    Friedman, M.2    Dunning, R.3
  • 15
    • 84878179520 scopus 로고    scopus 로고
    • First Genetic Resistance factor against Tuberculosis Infection Identified
    • McGrill University Health Centre, December 3
    • McGrill University Health Centre, First Genetic Resistance factor against Tuberculosis Infection Identified, December 3, 2009.
    • (2009)
  • 16
    • 0034682516 scopus 로고    scopus 로고
    • Genetic control of resistance to experimental infection with virulent Mycobacterium tuberculosis
    • Kramnik I., Dietrich W., Demant P., Bloom B. Genetic control of resistance to experimental infection with virulent Mycobacterium tuberculosis. PNAS 2000, 97(15):8560.
    • (2000) PNAS , vol.97 , Issue.15 , pp. 8560
    • Kramnik, I.1    Dietrich, W.2    Demant, P.3    Bloom, B.4
  • 18
    • 0031941087 scopus 로고    scopus 로고
    • HLA antigen profile in pulmonary tuberculosis patients and their spouses
    • Selvaraj P., Uma H., Reetha A., Kurian S. HLA antigen profile in pulmonary tuberculosis patients and their spouses. Indian J. Med. Res. 1998, 107:155-158.
    • (1998) Indian J. Med. Res. , vol.107 , pp. 155-158
    • Selvaraj, P.1    Uma, H.2    Reetha, A.3    Kurian, S.4
  • 19
    • 0032146230 scopus 로고    scopus 로고
    • Genetic susceptibility to mycobacteria and other infectious pathogens in humans
    • Bellamy R., Hill A. Genetic susceptibility to mycobacteria and other infectious pathogens in humans. Curr. Opin. Immunol. 1998, 10:483.
    • (1998) Curr. Opin. Immunol. , vol.10 , pp. 483
    • Bellamy, R.1    Hill, A.2
  • 20
    • 0032485353 scopus 로고    scopus 로고
    • Variations in the NRAMP1 gene and susceptibility to tuberculosis in West Africans
    • Bellamy R., Ruwende C., Corrah T., McAdam K., Whittle H., Hill A. Variations in the NRAMP1 gene and susceptibility to tuberculosis in West Africans. New Engl. J. Med. 1998, 338(10):640-644.
    • (1998) New Engl. J. Med. , vol.338 , Issue.10 , pp. 640-644
    • Bellamy, R.1    Ruwende, C.2    Corrah, T.3    McAdam, K.4    Whittle, H.5    Hill, A.6
  • 21
    • 0031918872 scopus 로고    scopus 로고
    • The immunogenetics of human infectious diseases
    • Hill A. The immunogenetics of human infectious diseases. Ann. Rev. Immunol. 1998, 16:593.
    • (1998) Ann. Rev. Immunol. , vol.16 , pp. 593
    • Hill, A.1
  • 22
    • 0027065581 scopus 로고
    • Genetics and resistance to tuberculosis: could resistance be enhanced by genetic engineering?
    • Stead W.W. Genetics and resistance to tuberculosis: could resistance be enhanced by genetic engineering?. Ann. Intern. Med. 1992, 116:937-941.
    • (1992) Ann. Intern. Med. , vol.116 , pp. 937-941
    • Stead, W.W.1
  • 24
    • 4444378456 scopus 로고    scopus 로고
    • Host genetics and tuberculosis susceptibility
    • Selvaraj P. Host genetics and tuberculosis susceptibility. Curr. Sci. 2004, 86(1):115-121.
    • (2004) Curr. Sci. , vol.86 , Issue.1 , pp. 115-121
    • Selvaraj, P.1
  • 25
    • 0029892993 scopus 로고    scopus 로고
    • The frequencies of HLA alleles and haplotypes and their distribution among donors and renal patients in the UNOS registry
    • Zachary A., Steinberg A., Bias W., Leffell M. The frequencies of HLA alleles and haplotypes and their distribution among donors and renal patients in the UNOS registry. Transplantation 1996, 62(2):272.
    • (1996) Transplantation , vol.62 , Issue.2 , pp. 272
    • Zachary, A.1    Steinberg, A.2    Bias, W.3    Leffell, M.4
  • 26
    • 0020627410 scopus 로고
    • Human Leukocyte antigen (HLA)-linked control of susceptibility to pulmonary tuberculosis and association with HLA-DR types
    • Singh S.P., Mehra N.K., Dingley H.B., Pande J.N., Vaidya M.C. Human Leukocyte antigen (HLA)-linked control of susceptibility to pulmonary tuberculosis and association with HLA-DR types. J. Infect. Dis. 1983, 148:676-681.
    • (1983) J. Infect. Dis. , vol.148 , pp. 676-681
    • Singh, S.P.1    Mehra, N.K.2    Dingley, H.B.3    Pande, J.N.4    Vaidya, M.C.5
  • 27
    • 0025911621 scopus 로고
    • Association of pulmonary tuberculosis and HLA in south India
    • Brahmajothi V., et al. Association of pulmonary tuberculosis and HLA in south India. Tubercle 1991, 72:123-132.
    • (1991) Tubercle , vol.72 , pp. 123-132
    • Brahmajothi, V.1
  • 28
    • 0030038210 scopus 로고    scopus 로고
    • Polymerase chain reaction-based sequence-specific oligonucleotide hybridization analysis of HLA class II antigens in pulmonary tuberculosis: relevance to chemotherapy and disease severity
    • Rajalingam R., Mehra N.K., Jain R.C., Myneedu V.P., Pande J.N.J. Polymerase chain reaction-based sequence-specific oligonucleotide hybridization analysis of HLA class II antigens in pulmonary tuberculosis: relevance to chemotherapy and disease severity. Infect. Dis. 1996, 173:669-676.
    • (1996) Infect. Dis. , vol.173 , pp. 669-676
    • Rajalingam, R.1    Mehra, N.K.2    Jain, R.C.3    Myneedu, V.P.4    Pande, J.N.J.5
  • 29
    • 0032833153 scopus 로고    scopus 로고
    • Associations of HLA-DRB1, DQB1 and DPB1 alleles with pulmonary tuberculosis in South India
    • Ravikumar M., et al. Associations of HLA-DRB1, DQB1 and DPB1 alleles with pulmonary tuberculosis in South India. Tuber. Lung Dis. 1999, 79:309-317.
    • (1999) Tuber. Lung Dis. , vol.79 , pp. 309-317
    • Ravikumar, M.1
  • 30
    • 0032878020 scopus 로고    scopus 로고
    • Association of functional mutant homozygotes of the mannose binding protein gene with susceptibility to pulmonary tuberculosis in India
    • Selvaraj P., Narayanan P.R., Reetha A.M. Association of functional mutant homozygotes of the mannose binding protein gene with susceptibility to pulmonary tuberculosis in India. Tuber. Lung Dis. 1999, 79:221-227.
    • (1999) Tuber. Lung Dis. , vol.79 , pp. 221-227
    • Selvaraj, P.1    Narayanan, P.R.2    Reetha, A.M.3
  • 31
    • 0033931647 scopus 로고    scopus 로고
    • Association of vitamin D receptor genotypes with the susceptibility to pulmonary tuberculosis in female patirnts and resistance in female contacts
    • Selvaraj P., Narayanan P.R., Reetha A.M. Association of vitamin D receptor genotypes with the susceptibility to pulmonary tuberculosis in female patirnts and resistance in female contacts. Indian J. Med. Res. 2000, 111:172-179.
    • (2000) Indian J. Med. Res. , vol.111 , pp. 172-179
    • Selvaraj, P.1    Narayanan, P.R.2    Reetha, A.M.3
  • 32
    • 1642576781 scopus 로고    scopus 로고
    • Association of vitamin D receptor gene variants of BsmI, ApaI and FokI polymorphisms with susceptibility or resistance to pulmonary tuberculosis
    • Selvaraj P., Chandra G., Kurian S.M., Reetha A.M., Narayanan P.R. Association of vitamin D receptor gene variants of BsmI, ApaI and FokI polymorphisms with susceptibility or resistance to pulmonary tuberculosis. Curr. Sci. 2003, 84:1564-1568.
    • (2003) Curr. Sci. , vol.84 , pp. 1564-1568
    • Selvaraj, P.1    Chandra, G.2    Kurian, S.M.3    Reetha, A.M.4    Narayanan, P.R.5
  • 34
    • 0033378157 scopus 로고    scopus 로고
    • Tuberculosis and chronic hepatitis B virus infection in Africans and variation in the vitamin D receptor gene
    • Bellamy R., et al. Tuberculosis and chronic hepatitis B virus infection in Africans and variation in the vitamin D receptor gene. J. Infect. Dis. 1999, 179:721-724.
    • (1999) J. Infect. Dis. , vol.179 , pp. 721-724
    • Bellamy, R.1
  • 35
    • 0034587295 scopus 로고    scopus 로고
    • A mathematical model of HIV transmission in homosexuals with genetic heterogeneity
    • Hsu Schmitz S-F. A mathematical model of HIV transmission in homosexuals with genetic heterogeneity. J. Theor. Med. 2000, 2:285-296.
    • (2000) J. Theor. Med. , vol.2 , pp. 285-296
    • Hsu Schmitz, S.-F.1
  • 36
    • 0033845033 scopus 로고    scopus 로고
    • Effects of Treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity
    • Hsu Schmitz S-F. Effects of Treatment or/and vaccination on HIV transmission in homosexuals with genetic heterogeneity. Math. Biosci. 2000, 167:1-18.
    • (2000) Math. Biosci. , vol.167 , pp. 1-18
    • Hsu Schmitz, S.-F.1
  • 37
    • 33748307685 scopus 로고    scopus 로고
    • Dynamical models of tuberculosis and their applications
    • Castillo-Chavez C., Song B. Dynamical models of tuberculosis and their applications. Math. Biosci. and Eng. 2004, 1(2):361-404.
    • (2004) Math. Biosci. and Eng. , vol.1 , Issue.2 , pp. 361-404
    • Castillo-Chavez, C.1    Song, B.2
  • 39
    • 34249816150 scopus 로고    scopus 로고
    • Exogenous re-infection and the dynamics of tuberculosis epidemics: local effects in a network model of transmission
    • Cohen T., Colijn C., Finklea B., Murray M. Exogenous re-infection and the dynamics of tuberculosis epidemics: local effects in a network model of transmission. J.R. Soc. Interface 2007, 4:523-531.
    • (2007) J.R. Soc. Interface , vol.4 , pp. 523-531
    • Cohen, T.1    Colijn, C.2    Finklea, B.3    Murray, M.4
  • 40
    • 1642381862 scopus 로고    scopus 로고
    • The rein- fection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy
    • Gomes M.G., Franco A.O., Gomes M.C., Medley G.F. The rein- fection threshold promotes variability in tuberculosis epidemiology and vaccine efficacy. Proc. R. Soc. London, Ser. B. 2004.
    • (2004) Proc. R. Soc. London, Ser. B.
    • Gomes, M.G.1    Franco, A.O.2    Gomes, M.C.3    Medley, G.F.4
  • 41
    • 4444272148 scopus 로고    scopus 로고
    • New measurable indicator for tuberculosis case detection
    • Borgdorff M.W. New measurable indicator for tuberculosis case detection. Emerg. Infect. Dis. 2004, 10(9):1523-1528.
    • (2004) Emerg. Infect. Dis. , vol.10 , Issue.9 , pp. 1523-1528
    • Borgdorff, M.W.1
  • 42
    • 0036210480 scopus 로고    scopus 로고
    • Interventions to reduce tuberculosis mortality and transmission in low and middle-income countries
    • Borgdorff M.W., Floyd K., Broekmans J.F. Interventions to reduce tuberculosis mortality and transmission in low and middle-income countries. Bull. World Health Organ. 2002, 80:217-227.
    • (2002) Bull. World Health Organ. , vol.80 , pp. 217-227
    • Borgdorff, M.W.1    Floyd, K.2    Broekmans, J.F.3
  • 43
    • 0008707451 scopus 로고
    • Tuberculosis can be controlled with existing technologies: evidence
    • The Hague: Tuberculosis Surveillance Research Unit
    • K. Styblo and J.R. Bumgarner. Tuberculosis can be controlled with existing technologies: evidence, The Hague: Tuberculosis Surveillance Research Unit, 1991, pp. 60-72.
    • (1991) , pp. 60-72
    • Styblo, K.1    Bumgarner, J.R.2
  • 45
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 2000, 42(4):599-653.
    • (2000) SIAM Rev. , vol.42 , Issue.4 , pp. 599-653
    • Hethcote, H.W.1
  • 46
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29-48.
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • van den Driessche, P.1    Watmough, J.2
  • 47
    • 84878178375 scopus 로고    scopus 로고
    • UNAIDS-WHO, UNAIDS/WHO Epidemiological Fact Sheet
    • UNAIDS-WHO, UNAIDS/WHO Epidemiological Fact Sheet, 2004. http://www.unaids.org.
    • (2004)
  • 48
    • 0032512283 scopus 로고    scopus 로고
    • Prospects for worldwide tuberculosis control under the WHO DOTS strategy. Directly observed short-course therapy
    • Dye C., Garnett G.P., Sleeman K., Williams B.G. Prospects for worldwide tuberculosis control under the WHO DOTS strategy. Directly observed short-course therapy. Lancet 1998, 352:1886-1891.
    • (1998) Lancet , vol.352 , pp. 1886-1891
    • Dye, C.1    Garnett, G.P.2    Sleeman, K.3    Williams, B.G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.