An optimal treatment strategy for diabetes

Farai Nyabadza; Edward M. Lungu

doi:10.1142/S0218339003000920

An optimal treatment strategy for diabetes

Farai Nyabadza, Edward M. Lungu

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

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Abstract

Consider a system on n variables involved in the regulation of glucose in the body, whose concentrations are 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.

Original language	English
Pages (from-to)	419-425
Number of pages	7
Journal	Journal of Biological Systems
Volume	11
Issue number	4
DOIs	https://doi.org/10.1142/S0218339003000920
Publication status	Published - Dec 2003

All Science Journal Classification (ASJC) codes

Applied Mathematics
Agricultural and Biological Sciences (miscellaneous)
Ecology

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10.1142/S0218339003000920

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abstract = "Consider a system on n variables involved in the regulation of glucose in the body, whose concentrations are 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.",

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An optimal treatment strategy for diabetes

Abstract

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UN SDGs

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