 CML dynamics: Optimal control of age-structured stem cell populationAïnseba, Bedr’Eddine and Chahrazed Benosman Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 10, 1962-1977 Abstract: This paper is devoted to the optimal control of an age-structured system, describing the evolution of normal and leukemic hematopoietic stem cells (HSC) under therapy. The optimal control represents the drug dosage over a fixed length of time. We give evidence that the discrete scheme, derived from our model, is consistent; moreover, the continuous dependence of the solution with respect to the initial data is proved. We prove the existence of an optimal control providing a unique solution to our model. Numerical simulations show that the division rate of leukemic HSC plays a crucial role when determining the optimal control. When the division rate decrease with age of cells, drug therapy should be administered at full dosage at the beginning. Next, it is piecewise continuous in time. When older leukemic HSC have a larger capacity of division, the optimal dosage increases to the maximum value, and then decreases over time. Keywords: Hematopoietic stem cells; Drug therapy; Chronic myeloid leukemia; Partial differential equations; Optimal control (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:10:p:1962-1977 DOI: 10.1016/j.matcom.2010.12.011 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.