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

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

All Science Journal Classification (ASJC) codes

Applied Mathematics
Agricultural and Biological Sciences (miscellaneous)
Ecology

UN SDGs

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

Access to Document

10.1142/S0218339003000920

Cite this

@article{ec7b5aeeec1846bb97e28cb38bd4fe42,

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.",

author = "Farai Nyabadza and Lungu, \{Edward M.\}",

year = "2003",

month = dec,

doi = "10.1142/S0218339003000920",

language = "English",

volume = "11",

pages = "419--425",

journal = "Journal of Biological Systems",

issn = "0218-3390",

publisher = "World Scientific",

number = "4",

}

TY - JOUR

T1 - An optimal treatment strategy for diabetes

AU - Nyabadza, Farai

AU - Lungu, Edward M.

PY - 2003/12

Y1 - 2003/12

N2 - 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.

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.

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

UR - https://www.scopus.com/inward/citedby.url?scp=0347567527&partnerID=8YFLogxK

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

All Science Journal Classification (ASJC) codes

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this