On optimal and suboptimal treatment strategies for a mathematical model of leukemia.

In this work an optimization problem for a leukemia treatment model based on the Gompertzian law of cell growth is considered. The quantities of the leukemic and of the healthy cells at the end of the therapy are chosen as the criterion of the treatment quality. In the case where the number of healthy cells at the end of the therapy is higher than a chosen desired number, an analytical solution of the optimization problem for a wide class of therapy processes is given. If this is not the case, a control strategy called alternative is suggested.

• Publication year

  2012

• Venue

  Mathematical biosciences and engineering : MBE

• Publication date

  2012-12-01

• Fields of study

  Mathematics, Medicine, Computer Science

• Identifiers
  DOI 10.3934/mbe.2013.10.151PMID 23311366
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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