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

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 th...

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Detalles Bibliográficos
Autor principal: Brinks, Ralph
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2018
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6157110/
https://www.ncbi.nlm.nih.gov/pubmed/30275874
http://dx.doi.org/10.1155/2018/5091096
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author Brinks, Ralph
author_facet Brinks, Ralph
author_sort Brinks, Ralph
collection PubMed
description 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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spelling pubmed-61571102018-10-01 Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem Brinks, Ralph Comput Math Methods Med Research Article 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. Hindawi 2018-09-12 /pmc/articles/PMC6157110/ /pubmed/30275874 http://dx.doi.org/10.1155/2018/5091096 Text en Copyright © 2018 Ralph Brinks. http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Brinks, Ralph
Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title_full Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title_fullStr Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title_full_unstemmed Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title_short Illness-Death Model in Chronic Disease Epidemiology: Characteristics of a Related, Differential Equation and an Inverse Problem
title_sort illness-death model in chronic disease epidemiology: characteristics of a related, differential equation and an inverse problem
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6157110/
https://www.ncbi.nlm.nih.gov/pubmed/30275874
http://dx.doi.org/10.1155/2018/5091096
work_keys_str_mv AT brinksralph illnessdeathmodelinchronicdiseaseepidemiologycharacteristicsofarelateddifferentialequationandaninverseproblem

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