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糖尿病及其并发症负担的数学模型。

A mathematical model for the burden of diabetes and its complications.

作者信息

Boutayeb A, Twizell E H, Achouayb K, Chetouani A

机构信息

Department of mathematics and statistics, Brunel University, Uxbridge middx UB8 3PH, UK.

出版信息

Biomed Eng Online. 2004 Jun 28;3(1):20. doi: 10.1186/1475-925X-3-20.

Abstract

BACKGROUND

The incidence and prevalence of diabetes are increasing all over the world. Complications of diabetes constitute a burden for the individuals and the whole society.

METHODS

In the present paper, ordinary differential equations and numerical approximations are used to monitor the size of populations of diabetes with and without complications.

RESULTS

Different scenarios are discussed according to a set of parameters and the dynamical evolution of the population from the stage of diabetes to the stage of diabetes with complications is clearly illustrated.

CONCLUSIONS

The model shows how efficient and cost-effective strategies can be obtained by acting on diabetes incidence and/or controlling the evolution to the stage of complications.

摘要

背景

糖尿病的发病率和患病率在全球范围内都在上升。糖尿病并发症给个人和整个社会都带来了负担。

方法

在本文中,常微分方程和数值近似法被用于监测有并发症和无并发症的糖尿病患者群体规模。

结果

根据一组参数讨论了不同的情况,并清晰地展示了群体从糖尿病阶段到糖尿病伴并发症阶段的动态演变。

结论

该模型展示了如何通过控制糖尿病发病率和/或控制向并发症阶段的演变来获得高效且具成本效益的策略。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8d58/449725/71a184e5c80a/1475-925X-3-20-1.jpg

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