2018-Brinks, Ralph - Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem.

By Brian Winkel

SIMIODE, Chardon OH USA

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Abstract

Brinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018, Article ID 5091096. 6 pages.

See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6157110/ .

Abstract: Chronic diseases impose a huge burden for mankind. Recently, a mathematical relation between the incidence and prevalence of a chronic disease in terms of a differential equation has been described. In this article, we study the characteristics of this differential equation. Furthermore, we prove the ill-posedness of a related inverse problem arising in chronic disease epidemiology. An example application for the inverse problem about type 1 diabetes in German women aged up to 35 years is given.

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Researchers should cite this work as follows:

  • Brian Winkel (2020), "2018-Brinks, Ralph - Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem.," https://www.simiode.org/resources/7257.

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