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

University of Botswana

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

1 Citation (Scopus)

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
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Diabetes mellitus
Optimal treatment
Stochastic control
Treatment strategy

ASJC Scopus subject areas

Ecology
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1142/S0218339003000920

Cite this

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title = "An optimal treatment strategy for diabetes",

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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AU - Nyabadza, Farai

AU - Lungu, Edward M.

PY - 2003/12

Y1 - 2003/12

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AB - 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.

KW - Diabetes mellitus

KW - Optimal treatment

KW - Stochastic control

KW - Treatment strategy

UR - https://www.scopus.com/pages/publications/0347567527

U2 - 10.1142/S0218339003000920

DO - 10.1142/S0218339003000920

M3 - Article

AN - SCOPUS:0347567527

SN - 0218-3390

VL - 11

SP - 419

EP - 425

JO - Journal of Biological Systems

JF - Journal of Biological Systems

IS - 4

ER -

An optimal treatment strategy for diabetes

Abstract

UN SDGs

Keywords

ASJC Scopus subject areas

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