An optimal treatment strategy for diabetes

Farai Nyabadza, Edward M. Lungu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)419-425
Number of pages7
JournalJournal of Biological Systems
Issue number4
Publication statusPublished - Dec 2003
Externally publishedYes


  • Diabetes mellitus
  • Optimal treatment
  • Stochastic control
  • Treatment strategy

ASJC Scopus subject areas

  • Ecology
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics


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