An optimal treatment strategy for diabetes

被引：1

作者：

Nyabadza, F ^{[1
]}

Lungu, EM ^{[1
]}

机构：

[1] Univ Botswana & Swaziland, Dept Math, Gaborone, Botswana

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2003年 / 11卷 / 04期

关键词：

diabetes mellitus; optimal treatment; stochastic control; treatment strategy;

D O I：

10.1142/S0218339003000920

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Consider a system on n variables involved in the regulation of glucose in the body, whose concentrations axe given by stochastic differential equations driven by m-dimensional Brownian motion. We formulate a stochastic control problem and give sufficient conditions for the existence of an optimal treatment strategy. We study the following problem: what treatment strategy for the n variables, maximizes the expected benefit from treatment.

引用

页码：419 / 425

页数：7

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