Illness-death model in chronic disease epidemiology: characteristics of a related, differential equation and an inverse problem (Q1634226)
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scientific article; zbMATH DE number 6994496
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| English | Illness-death model in chronic disease epidemiology: characteristics of a related, differential equation and an inverse problem |
scientific article; zbMATH DE number 6994496 |
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Illness-death model in chronic disease epidemiology: characteristics of a related, differential equation and an inverse problem (English)
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18 December 2018
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Summary: 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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chronic disease epidemiology
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illness-death model
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differential equation
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inverse problem
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