A generalized chain binomial model with application to HIV infection. NLM AIDSLINE Important note: Information in this article was accurate in 1992. The state of the art may have changed since the publication date.

Click here to return to AIDSLINE main menu
DonateNow
Print this Article


A generalized chain binomial model with application to HIV infection.

Math Biosci. 1990 Sep;101(1):99-119. Unique Identifier : AIDSLINE MED/92199675
Ng J; Orav EJ; Harvard School of Public Health, Department of Biostatistics,; Boston, Massachusetts 02115.


Abstract: The original Reed-Frost formulation of the chain binomial model is mathematically equivalent to a stochastic model allowing a Poisson number of effective contacts in a time interval. Their formulation cannot accommodate survey data that necessarily correspond to more complex distributions of partners or contacts, or to large populations where complete random mixing is unlikely. This paper generalizes the Reed-Frost model to accommodate these situations in both the one- and two-population settings. The extension to multiple populations is also outlined. Using the model to predict HIV incidence in San Francisco's homosexual population, we show that the total number of contacts over all partners is more important than the distribution of contacts among partners in determining the number of infected.
Keywords: Human HIV Infections/*EPIDEMIOLOGY/TRANSMISSION Male Mathematics Models, Biological San Francisco/EPIDEMIOLOGY Sexual Partners Stochastic Processes Support, Non-U.S. Gov't Support, U.S. Gov't, P.H.S. JOURNAL ARTICLEKWDhumanhivinfections/KWDepidemiology/transmissionmalemathematicsmodels,biologicalsanfrancisco/epidemiologysexualpartnersstochasticprocessessupport,non-uKWDsKWDgov'tsupport,uKWDsKWDgov't,pKWDhKWDsKWDjournalarticle
920730
M9271083

Copyright © 1992 - National Library of Medicine. Reproduced under license with the National Library of Medicine, Bethesda, MD.

AEGiS is a 501(c)3, not-for-profit, tax-exempt, educational corporation. AEGiS is made possible through unrestricted funding from Boehringer Ingelheim, Bridgestone/Firestone Charitable Trust, Bristol-Myers Squibb Company, Elton John AIDS Foundation, Gill Foundation, the National Library of Medicine, Quest Diagnostics, Roche and Trimeris, and donations from users like you. Always watch for outdated information. This article first appeared in 1992. This material is designed to support, not replace, the relationship that exists between you and your doctor.

AEGiS presents published material, reprinted with permission and neither endorses nor opposes any material. All information contained on this website, including information relating to health conditions, products, and treatments, is for informational purposes only. It is often presented in summary or aggregate form. It is not meant to be a substitute for the advice provided by your own physician or other medical professionals. Always discuss treatment options with a doctor who specializes in treating HIV.

Copyright ©1980, 1992. AEGiS. All materials appearing on AEGiS are protected by copyright as a collective work or compilation under U.S. copyright and other laws and are the property of AEGiS, or the party credited as the provider of the content. .