Volume 12 - Article 10 | Pages 237–272
Mathematical Models for Human Cancer Incidence Rates
| Date received: | 27 Aug 2003 |
| Date published: | 07 May 2005 |
| Word count: | 5042 |
| Keywords: | aging, cancer, heterogeneity, incidence rate, model, models |
| DOI: | 10.4054/DemRes.2005.12.10 |
Abstract
The overall cancer incidence rate declines at old ages. Possible causes of this decline include the effects of cross-sectional data which transform cohort dynamics into age pattern, population heterogeneity which selects out individuals susceptible to cancer, decline in some carcinogenic exposures in the old, effects of individual aging which slow down major physiological processes in an organism, etc.
We discuss several mathematical models contributing to the explanation of this phenomenon. We extend the Strehler and Mildvan model of aging and mortality and apply it to the analysis of data on cancer incidence at old ages. The model explains time trends and age patterns of cancer incidence rates. Applications to cancer incidence data provided by the International Agency for Research on Cancer illustrate the models.
Author's Affiliation
Konstantin Arbeev - Duke University, United States of America
Svetlana Ukraintseva - Duke University, United States of America
Lyubov S. Arbeeva - Ulyanovsk State University, Russian Federation
Anatoli Yashin - Duke University, United States of America
Other articles by the same author/authors in Demographic Research
»
Two proofs of a recent formula by Griffith Feeney
Volume 14 - Article 3
»
Decline in Human Cancer Incidence Rates at Old Ages: Age-Period-Cohort Considerations
Volume 12 - Article 11
»
Individual Aging and Cancer Risk: How are They Related?
Volume 9 - Article 8
Most recent similar articles in Demographic Research
»
Individual Aging and Cancer Risk: How are They Related?
Volume 9 - Article 8 | Keywords: aging, cancer
»
World population aging as a function of period demographic conditions
Volume 48 - Article 13 | Keywords: aging
»
Migrating to a new country in late life: A review of the literature on international retirement migration
Volume 48 - Article 9 | Keywords: aging
»
Coping with ageing: An historical longitudinal study of internal return migrations later in life in the Netherlands
Volume 46 - Article 27 | Keywords: aging
»
‘Silver splits’ in Europe: The role of grandchildren and other correlates
Volume 46 - Article 21 | Keywords: aging
Articles
Citations
Download to Citation Manager
Similar Articles
PubMed
»Articles by Konstantin Arbeev
»Articles by Svetlana Ukraintseva
»Articles by Lyubov S. Arbeeva
Google Scholar
»Articles by Konstantin Arbeev
»Articles by Svetlana Ukraintseva
»Articles by Lyubov S. Arbeeva