Article no.8

On the Controllability of a System Modeling Cell Dynamics Related to LeukemiaResearch Paper, October 3, 2021 / Lorand Gabriel Parajdi

Published in MDPI Symmetry 13(10), 1867, DOI: 10.3390/sym13101867,  2021.

  The full paper is available on the MDPI Symmetry website:https://www.mdpi.com/2073-8994/13/10/1867/htm

Authors: Ioan Ștefan Haplea1, Lorand Gabriel Parajdi2,3 and Radu Precup4,51 Department of Internal Medicine, “Iuliu Hațieganu” University of Medicine and Pharmacy, Cluj-Napoca, Romania 2 Department of Mathematics, West Virginia University, Morgantown, USA 3 Department of Mathematics, “Babeş–Bolyai” University, Cluj-Napoca, Romania 4 Institute of Advanced Studies in Science and Technology STAR-UBB, “Babeş–Bolyai” University, Cluj-Napoca, Romania 5 “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania

Abstract: In this paper, two control problems for a symmetric model of cell dynamics related to leukemia are considered. The first one, in connection with classical chemotherapy, is that the evolution of the disease under treatment should follow a prescribed trajectory assuming that the drug works by increasing the cell death rates of both malignant and normal cells. In the case of the second control problem, as for targeted therapies, the drug is assumed to work by decreasing the multiplication rate of leukemic cells only, and the control objective is that the disease state reaches a desired endpoint. The solvability of the two problems as well as their stability are proved by using a general method of analysis. Some numerical simulations are included to illustrate the theoretical results and prove their applicability. The results can possibly be used to design therapeutic scenarios such that an expected clinical evolution can be achieved.

Subject Classification: 34H05, 93B05.

Keywords: Control problem; Dynamic system; Leukemia.

Cite As: Haplea IȘ, Parajdi LG, Precup R. On the Controllability of a System Modeling Cell Dynamics Related to Leukemia. Symmetry. 2021; 13(10):1867.

This article was awarded by UEFISCDI.gov in the competition “The awards of the research results published in 2021” (PRECIS 2021). For the results see: https://uefiscdi.gov.ro/resource-868087-precisi2021_lista-6_partial-2

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