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Mathematical models for human cancer incidence rates

Publication ,  Journal Article
Arbeev, KG; Ukraintseva, SV; Arbeeva, LS; Yashin, AI
Published in: Demographic Research
May 7, 2005

The overall cancer incidence rate declines at old ages. Possible causes of this decline include the effects of cross-sectional data that transform cohort dynamics into age patterns, population heterogeneity that selects individuals susceptible to cancer, a decline in some carcinogenic exposures in older individuals, underdiagnostics, and the effects of individual aging that slow down major physiological processes in an organism. 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 (data source: International Agency for Research on Cancer). The model explains the observed time trends and age patterns of cancer incidence rates. © 2005 Max-Planck-Gesellschaft.

Duke Scholars

Published In

Demographic Research

DOI

EISSN

1435-9871

ISSN

1435-9871

Publication Date

May 7, 2005

Volume

12

Start / End Page

237 / 272

Related Subject Headings

  • Demography
  • 44 Human society
  • 42 Health sciences
  • 35 Commerce, management, tourism and services
  • 1603 Demography
 

Citation

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Arbeev, K. G., Ukraintseva, S. V., Arbeeva, L. S., & Yashin, A. I. (2005). Mathematical models for human cancer incidence rates. Demographic Research, 12, 237–272. https://doi.org/10.4054/DemRes.2005.12.10
Arbeev, K. G., S. V. Ukraintseva, L. S. Arbeeva, and A. I. Yashin. “Mathematical models for human cancer incidence rates.” Demographic Research 12 (May 7, 2005): 237–72. https://doi.org/10.4054/DemRes.2005.12.10.
Arbeev KG, Ukraintseva SV, Arbeeva LS, Yashin AI. Mathematical models for human cancer incidence rates. Demographic Research. 2005 May 7;12:237–72.
Arbeev, K. G., et al. “Mathematical models for human cancer incidence rates.” Demographic Research, vol. 12, May 2005, pp. 237–72. Scopus, doi:10.4054/DemRes.2005.12.10.
Arbeev KG, Ukraintseva SV, Arbeeva LS, Yashin AI. Mathematical models for human cancer incidence rates. Demographic Research. 2005 May 7;12:237–272.

Published In

Demographic Research

DOI

EISSN

1435-9871

ISSN

1435-9871

Publication Date

May 7, 2005

Volume

12

Start / End Page

237 / 272

Related Subject Headings

  • Demography
  • 44 Human society
  • 42 Health sciences
  • 35 Commerce, management, tourism and services
  • 1603 Demography