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Analysing detection of chronic diseases with prolonged sub-clinical periods: modelling and application to hypertension in the U.S.

ABSTRACT: BACKGROUND:We recently introduced a system of partial differential equations (PDEs) to model the prevalence of chronic diseases with a possibly prolonged state of asymptomatic, undiagnosed disease preceding a diagnosis. Common examples for such diseases include coronary heart disease, type 2 diabetes or cancer. Widespread application of the new method depends upon mathematical treatment of the system of PDEs. METHODS:In this article, we study the existence and the uniqueness of the solution of the system of PDEs. To demonstrate the usefulness and importance of the system, we model the age-specific prevalence of hypertension in the US 1999-2010. RESULTS:The examinations of mathematical properties provide a way to solve the systems of PDEs by the method of characteristics. In the application to hypertension, we obtain a good agreement between modeled and surveyed age-specific prevalences. CONCLUSIONS:The described system of PDEs provides a practical way to examine the epidemiology of chronic diseases with a state of undiagnosed disease preceding a diagnosis.

SUBMITTER: Brinks R

PROVIDER: S-EPMC6880443 | biostudies-literature | 2019 Nov

REPOSITORIES: biostudies-literature

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Analysing detection of chronic diseases with prolonged sub-clinical periods: modelling and application to hypertension in the U.S.

Brinks Ralph R Kaufmann Sophie S Hoyer Annika A Gregg Edward W EW Saal Jürgen J

BMC medical research methodology 20191127 1

<h4>Background</h4>We recently introduced a system of partial differential equations (PDEs) to model the prevalence of chronic diseases with a possibly prolonged state of asymptomatic, undiagnosed disease preceding a diagnosis. Common examples for such diseases include coronary heart disease, type 2 diabetes or cancer. Widespread application of the new method depends upon mathematical treatment of the system of PDEs.<h4>Methods</h4>In this article, we study the existence and the uniqueness of th ...[more]

PMID: 31775635

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Analysing detection of chronic diseases with prolonged sub-clinical periods: modelling and application to hypertension in the U.S.

Publications

Analysing detection of chronic diseases with prolonged sub-clinical periods: modelling and application to hypertension in the U.S.

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