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

2018 ◽  
Vol 2018 ◽  
pp. 1-6 ◽  
Author(s):  
Ralph Brinks
Keyword(s):  
Differential Equation ◽  
Inverse Problem ◽  
Type 1 Diabetes ◽  
Chronic Disease ◽  
Chronic Diseases ◽  
Chronic Disease Epidemiology ◽  
Disease Epidemiology ◽  
Mathematical Relation

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.

Chronic Disease Epidemiology and Control

2010 ◽  
Author(s):  
Patrick L. Remington ◽  
Ross C. Brownson ◽  
Mark V. Wegner
Keyword(s):  
Chronic Disease ◽  
Chronic Disease Epidemiology ◽  
Disease Epidemiology ◽  
And Control

Agent-based modeling for the self-management of chronic diseases: An exploratory study

SIMULATION ◽  
2017 ◽  
Vol 93 (9) ◽  
pp. 781-793 ◽  
Author(s):  
Sara Montagna ◽  
Andrea Omicini
Keyword(s):  
Diabetes Mellitus ◽  
Type 1 Diabetes ◽  
Type 1 Diabetes Mellitus ◽  
Chronic Diseases ◽  
Agent Based Modeling ◽  
Self Management ◽  
Agent Based ◽  
Management Interventions ◽  
The Impact

The impact of mobile technologies on healthcare is particularly evident in the case of self-management of chronic diseases, where they can decrease spending and improve life quality of patients. We propose the adoption of agent-based modeling and simulation techniques as built-in tools to dynamically monitor the state of patient health and provide recommendations for self-management. To demonstrate the feasibility of our proposal we focus on Type 1 diabetes mellitus as our case study, and provide simulation results where the dynamic evolution of signal parameters is shown in the case of healthy and Type 1 diabetes mellitus patients, focussing in particular on the beneficial effects that self-management interventions have on plasma glucose values.

Sign in / Sign up

Export Citation Format

Share Document