Abstract
We have developed a computer-implemented, multivariate Markov chain model to project tuberculosis (TB) incidence in the United States from 1980 to 2010 in disaggregated demographic groups. Uncertainty in model parameters and in the projections is represented by fuzzy numbers. Projections are made under the assumption that current TB control measures will remain unchanged for the projection period. The projections of the model demonstrate an intermediate increase in national TB incidence (similar to that which actually occurred) followed by continuing decline. The rate of decline depends strongly on geographic, racial, and ethnic characteristics. The model predicts that the rate of decline in the number of cases among Hispanics will be slower than among white non-Hispanics and black non-Hispanics a prediction supported by the most recent data.
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- Azuma Y. A simple simulation model of tuberculosis epidemiology for use without large-scale computers. Bull World Health Organ. 1975;52(3):313–322. [PMC free article] [PubMed] [Google Scholar]
- Bielefeld R. A., Debanne S. M., Rowland D. Y. Storing sparse and repeated data in multivariate Markovian models of tuberculosis spread. Comput Biomed Res. 1996 Apr;29(2):85–92. doi: 10.1006/cbmr.1996.0009. [DOI] [PubMed] [Google Scholar]
- Bloch A. B., Rieder H. L., Kelly G. D., Cauthen G. M., Hayden C. H., Snider D. E., Jr The epidemiology of tuberculosis in the United States. Implications for diagnosis and treatment. Clin Chest Med. 1989 Sep;10(3):297–313. [PubMed] [Google Scholar]
- Blower S. M., McLean A. R., Porco T. C., Small P. M., Hopewell P. C., Sanchez M. A., Moss A. R. The intrinsic transmission dynamics of tuberculosis epidemics. Nat Med. 1995 Aug;1(8):815–821. doi: 10.1038/nm0895-815. [DOI] [PubMed] [Google Scholar]
- Blower S. M., Small P. M., Hopewell P. C. Control strategies for tuberculosis epidemics: new models for old problems. Science. 1996 Jul 26;273(5274):497–500. doi: 10.1126/science.273.5274.497. [DOI] [PubMed] [Google Scholar]
- Brewer T. F., Heymann S. J., Colditz G. A., Wilson M. E., Auerbach K., Kane D., Fineberg H. V. Evaluation of tuberculosis control policies using computer simulation. JAMA. 1996 Dec 18;276(23):1898–1903. [PubMed] [Google Scholar]
- Cantwell M. F., Snider D. E., Jr, Cauthen G. M., Onorato I. M. Epidemiology of tuberculosis in the United States, 1985 through 1992. JAMA. 1994 Aug 17;272(7):535–539. [PubMed] [Google Scholar]
- Comstock G. W. Frost revisited: the modern epidemiology of tuberculosis. Am J Epidemiol. 1975 May;101(5):363–382. doi: 10.1093/oxfordjournals.aje.a112105. [DOI] [PubMed] [Google Scholar]
- Comstock G. W. Variability of tuberculosis trends in a time of resurgence. Clin Infect Dis. 1994 Dec;19(6):1015–1022. doi: 10.1093/clinids/19.6.1015. [DOI] [PubMed] [Google Scholar]
- Daley C. L., Small P. M., Schecter G. F., Schoolnik G. K., McAdam R. A., Jacobs W. R., Jr, Hopewell P. C. An outbreak of tuberculosis with accelerated progression among persons infected with the human immunodeficiency virus. An analysis using restriction-fragment-length polymorphisms. N Engl J Med. 1992 Jan 23;326(4):231–235. doi: 10.1056/NEJM199201233260404. [DOI] [PubMed] [Google Scholar]
- Daniel T. M., Debanne S. M. Estimation of the annual risk of tuberculosis infection for white men in the United States. J Infect Dis. 1997 Jun;175(6):1535–1537. doi: 10.1086/516495. [DOI] [PubMed] [Google Scholar]
- Devadatta S., Dawson J. J., Fox W., Janardhanam B., Radhakrishna S., Ramakrishnan C. V., Velu S. Attack rate of tuberculosis in a 5-year period among close family contacts of tuberculous patients under domiciliary treatment with isoniazid plus PAS or isoniazid alone. Bull World Health Organ. 1970;42(3):337–351. [PMC free article] [PubMed] [Google Scholar]
- Di Perri G., Cruciani M., Danzi M. C., Luzzati R., De Checchi G., Malena M., Pizzighella S., Mazzi R., Solbiati M., Concia E. Nosocomial epidemic of active tuberculosis among HIV-infected patients. Lancet. 1989 Dec 23;2(8678-8679):1502–1504. [PubMed] [Google Scholar]
- Edwards L. B., Acquaviva F. A., Livesay V. T., Cross F. W., Palmer C. E. An atlas of sensitivity to tuberculin, PPD-B, and histoplasmin in the United States. Am Rev Respir Dis. 1969 Apr;99(4 Suppl):1–132. [PubMed] [Google Scholar]
- Ellner J. J., Hinman A. R., Dooley S. W., Fischl M. A., Sepkowitz K. A., Goldberger M. J., Shinnick T. M., Iseman M. D., Jacobs W. R., Jr Tuberculosis symposium: emerging problems and promise. J Infect Dis. 1993 Sep;168(3):537–551. doi: 10.1093/infdis/168.3.537. [DOI] [PubMed] [Google Scholar]
- FEREBEE S. H., MOUNT F. W. Tuberculosis morbidity in a controlled trial of the prophylactic use of isoniazid among household contacts. Am Rev Respir Dis. 1962 Apr;85:490–510. doi: 10.1164/arrd.1962.85.4.490. [DOI] [PubMed] [Google Scholar]
- Ferebee S. H. Controlled chemoprophylaxis trials in tuberculosis. A general review. Bibl Tuberc. 1970;26:28–106. [PubMed] [Google Scholar]
- Gammaitoni L., Nucci M. C. Using a mathematical model to evaluate the efficacy of TB control measures. Emerg Infect Dis. 1997 Jul-Sep;3(3):335–342. doi: 10.3201/eid0303.970310. [DOI] [PMC free article] [PubMed] [Google Scholar]
- HANZEL G. D., ROGERS K. D. MULTIPLE-PUNCTURE AND MANTOUX TUBERCULIN TESTS IN HIGH SCHOOL STUDENTS. A COMPARATIVE STUDY. JAMA. 1964 Dec 21;190:1038–1042. doi: 10.1001/jama.1964.03070250020005. [DOI] [PubMed] [Google Scholar]
- Heymann S. J. Modelling the efficacy of prophylactic and curative therapies for preventing the spread of tuberculosis in Africa. Trans R Soc Trop Med Hyg. 1993 Jul-Aug;87(4):406–411. doi: 10.1016/0035-9203(93)90014-h. [DOI] [PubMed] [Google Scholar]
- Liu Z., Shilkret K. L., Tranotti J., Freund C. G., Finelli L. Distinct trends in tuberculosis morbidity among foreign-born and US-born persons in New Jersey, 1986 through 1995. Am J Public Health. 1998 Jul;88(7):1064–1067. doi: 10.2105/ajph.88.7.1064. [DOI] [PMC free article] [PubMed] [Google Scholar]
- MacIntyre C. R., Plant A. J. Preventability of incident cases of tuberculosis in recently exposed contacts. Int J Tuberc Lung Dis. 1998 Jan;2(1):56–61. [PubMed] [Google Scholar]
- Murray C. J., Salomon J. A. Expanding the WHO tuberculosis control strategy: rethinking the role of active case-finding. Int J Tuberc Lung Dis. 1998 Sep;2(9 Suppl 1):S9–15. [PubMed] [Google Scholar]
- Murray C. J., Salomon J. A. Modeling the impact of global tuberculosis control strategies. Proc Natl Acad Sci U S A. 1998 Nov 10;95(23):13881–13886. doi: 10.1073/pnas.95.23.13881. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Pitchenik A. E., Burr J., Laufer M., Miller G., Cacciatore R., Bigler W. J., Witte J. J., Cleary T. Outbreaks of drug-resistant tuberculosis at AIDS centre. Lancet. 1990 Aug 18;336(8712):440–441. doi: 10.1016/0140-6736(90)91987-l. [DOI] [PubMed] [Google Scholar]
- ROSENTHAL S. R., AFREMOW M. L., NIKURS L., LOEWINSOHN E., LEPPMANN M., KATELE E., LIVERIGHT D., THORNE M. BCG vaccination and tuberculosis in students of nursing. Am J Nurs. 1963 Jun;63:88–93. [PubMed] [Google Scholar]
- ReVelle C. S., Lynn W. R., Feldmann F. Mathematical models for the economic allocation of tuberculosis control activities in developing nations. Am Rev Respir Dis. 1967 Nov;96(5):893–909. doi: 10.1164/arrd.1967.96.5.893. [DOI] [PubMed] [Google Scholar]
- Reichman L. B., O'Day R. Tuberculous infection in a large urban population. Am Rev Respir Dis. 1978 Apr;117(4):705–712. doi: 10.1164/arrd.1978.117.4.705. [DOI] [PubMed] [Google Scholar]
- Rhoades E. R., Alexander C. P. Reactions to the tuberculin tine test in Air Force recruits. An analysis of 193,856 tests. Am Rev Respir Dis. 1968 Nov;98(5):837–841. doi: 10.1164/arrd.1968.98.5.837. [DOI] [PubMed] [Google Scholar]
- Rieder H. L. Methodological issues in the estimation of the tuberculosis problem from tuberculin surveys. Tuber Lung Dis. 1995 Apr;76(2):114–121. doi: 10.1016/0962-8479(95)90552-9. [DOI] [PubMed] [Google Scholar]
- Salpeter E. E., Salpeter S. R. Mathematical model for the epidemiology of tuberculosis, with estimates of the reproductive number and infection-delay function. Am J Epidemiol. 1998 Feb 15;147(4):398–406. doi: 10.1093/oxfordjournals.aje.a009463. [DOI] [PubMed] [Google Scholar]
- Schulzer M., Fitzgerald J. M., Enarson D. A., Grzybowski S. An estimate of the future size of the tuberculosis problem in sub-Saharan Africa resulting from HIV infection. Tuber Lung Dis. 1992 Feb;73(1):52–58. doi: 10.1016/0962-8479(92)90080-4. [DOI] [PubMed] [Google Scholar]
- Styblo K. The global aspects of tuberculosis and HIV infection. Bull Int Union Tuberc Lung Dis. 1990 Mar;65(1):28–32. [PubMed] [Google Scholar]
- WAALER H., GESER A., ANDERSEN S. The use of mathematical models in the study of the epidemiology of tuberculosis. Am J Public Health Nations Health. 1962 Jun;52:1002–1013. doi: 10.2105/ajph.52.6.1002. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Waaler H. T., Piot M. A. The use of an epidemiological model for estimating the effectiveness of tuberculosis control measures. Sensitivity of the effectiveness of tuberculosis control measures to the coverage of the population. Bull World Health Organ. 1969;41(1):75–93. [PMC free article] [PubMed] [Google Scholar]
- West R. W., Thompson J. R. Modeling the impact of HIV on the spread of tuberculosis in the United States. Math Biosci. 1997 Jul 1;143(1):35–60. doi: 10.1016/s0025-5564(97)00001-1. [DOI] [PubMed] [Google Scholar]
- ZEIDBERG L. D., GASS R. S., DILLON A., HUTCHESON R. H. The Williamson County Tuberculosis Study. A twenty-four-year epidemiologic study. Am Rev Respir Dis. 1963 Mar;87(3):1–88. [PubMed] [Google Scholar]