{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T08:24:18Z","timestamp":1773390258887,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,10,3]],"date-time":"2021-10-03T00:00:00Z","timestamp":1633219200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/sym13101867","type":"journal-article","created":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T01:59:47Z","timestamp":1633917587000},"page":"1867","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["On the Controllability of a System Modeling Cell Dynamics Related to Leukemia"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5109-9579","authenticated-orcid":false,"given":"Ioan \u015etefan","family":"Haplea","sequence":"first","affiliation":[{"name":"Department of Internal Medicine, Iuliu Ha\u0163ieganu University of Medicine and Pharmacy, 400012 Cluj-Napoca, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9793-3151","authenticated-orcid":false,"given":"Lorand Gabriel","family":"Parajdi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA"},{"name":"Department of Mathematics, Babe\u015f\u2013Bolyai University, 400084 Cluj-Napoca, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0153-6168","authenticated-orcid":false,"given":"Radu","family":"Precup","sequence":"additional","affiliation":[{"name":"Institute of Advanced Studies in Science and Technology STAR-UBB, Babe\u015f-Bolyai University, 400084 Cluj-Napoca, Romania"},{"name":"Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, 400015 Cluj-Napoca, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"8643","DOI":"10.1158\/0008-5472.CAN-07-6611","article-title":"A History of cancer chemotherapy","volume":"68","author":"DeVita","year":"2008","journal-title":"Cancer Res."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"830","DOI":"10.1016\/j.mayocp.2021.01.016","article-title":"Hematopoietic stem cell discoverers","volume":"96","author":"Steensma","year":"2021","journal-title":"Mayo Clin. 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