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The theory of periodic screening I: Lead time and proportion detected

Published online by Cambridge University Press:  01 July 2016

Philip C. Prorok
Philip C. Prorok*
Affiliation:
National Cancer Institute, Bethesda, Maryland
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Abstract

A stochastic model for a periodic screening program is presented in which the natural history of a chronic disease is assumed to follow a progressive path from a preclinical state to a clinical state. The sampling of preclinical state sojourn times by screening examinations generates bounds on the preclinical state recurrence times. The distribution of the bounded forward recurrence time is derived and used to obtain the distribution and mean of the lead time, and relationships for calculating the proportion of preclinical cases detected. These expressions are derived in terms of the preclinical state sojourn-time distribution and adjustible parameters important in the design of a periodic screening program.

Keywords

EARLY DETECTIONPERIODIC SCREENINGPROGRESSIVE DISEASE MODELSTATIONARY POINT PROCESSFORWARD RECURRENCE TIMELENGTH-BIASED SAMPLINGLEAD TIMEPROPORTION DETECTED
Type
Research Article
Information
Advances in Applied Probability , Volume 8 , Issue 1 , March 1976 , pp. 127 - 143
Copyright
Copyright © Applied Probability Trust 1976 

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References

Cox, D.R. (1962) Renewal Theory. Methuen, London.Google Scholar
Fink, R., Shapiro, S. and Roester, R. (1972) Impact of efforts to increase participation in repetitive screenings for early breast cancer detection. Amer. J. Pub. Health 62, 328–336.CrossRefGoogle ScholarPubMed
Hutchison, G. B. and Shapiro, S. (1968) Lead time gained by diagnostic screening for breast cancer. J. National Canter Inst. 41, 665–681.Google Scholar
Kirch, R. L. A. and Klein, M. (1974a) Examination schedules for breast cancer. Cancer 33, 1444–1450.Google Scholar
Kirch, R. L. A. and Klein, M. (1974b) Surveillance schedules for medical examinations. Management Sci. 20, 1403–1409.Google Scholar
Knox, E. G. (1973) A simulation system for screening procedures. In The Future - and Present Indicatives, Problems and Progress in Medical Care, Ninth Series, ed. McLachlan, G.. Nuffield Provincial Hospitals Trust. Oxford, London, 17–55.Google Scholar
Lincoln, T. L. and Weiss, G. H. (1964) A statistical evaluation of recurrent medical examinations. Operat. Res. 12, 187–205.Google Scholar
Nuffield Provincial Hospitals Trust (1968) Screening in Medical Care. Oxford, London.Google Scholar
Prorok, P. C. (1973) On the theory of periodic screening for the early detection of disease. Unpublished Ph.D. dissertation, State University of New York at Buffalo.Google Scholar
Prorok, P. C. (1976) The theory of periodic screening II: Doubly bounded recurrence times and mean lead time and detection probability estimation. Adv. Appl. Prob. 8, No. 3.Google Scholar
Weiss, G. H. and Lincoln, T. L. (1966) Analysis of repeated examinations for detection of occult disease. Health Services Research 1, 272–286.Google Scholar
Zelen, M. and Feinleib, M. (1969) On the theory of screening for chronic diseases. Biometrika 56, 601–614.Google Scholar
Zelen, M. (1971) Problems in the early detection of disease and the finding of faults. Bulletin of the I.S.I.; Proceedings of the 38th Session 44, (1), 649–661.Google Scholar
Zelen, M. (1974) Problems in cell kinetics and the early detection of disease. In Reability and Biometry, ed. Proschan, F. and Serfling, R. J.. Society for Industrial and Applied Mathematics, Philadelphia, 701–726.Google Scholar