{"id":734,"date":"2020-08-24T16:45:02","date_gmt":"2020-08-24T16:45:02","guid":{"rendered":"https:\/\/lorandparajdi.wordpress.com\/?page_id=734"},"modified":"2023-07-17T15:52:13","modified_gmt":"2023-07-17T15:52:13","slug":"theoretical-basis-of-optimal-therapy-for-individual-patients-in-chronic-myeloid-leukemia-a-mathematical-approach","status":"publish","type":"page","link":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/theoretical-basis-of-optimal-therapy-for-individual-patients-in-chronic-myeloid-leukemia-a-mathematical-approach\/","title":{"rendered":"Article no.5"},"content":{"rendered":"\n

Theoretical Basis of Optimal Therapy for Individual Patients in Chronic Myeloid Leukemia: A Mathematical ApproachResearch Paper, July 6, 2020 \/ Lorand Gabriel Parajdi<\/span><\/a><\/p>\n\n\n\n

Published in Taylor & Francis Online, Journal of Interdisciplinary Mathematics<\/em> 23(3), 669-690,<\/em> <\/a>DOI: 10.1080\/09720502.2019.1681699<\/span><\/a>,  2020<\/em>.<\/p>\n\n\n\n

\"\"  Paper is available on the Taylor & Francis Online, Journal of Interdisciplinary Mathematics website:<\/span><\/strong> https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/09720502.2019.1681699<\/a><\/a><\/p>\n\n\n\n

Authors:<\/mark><\/strong> Lorand Gabriel Parajdi1<\/sup>, Radu Precup1<\/sup>, Delia Dima3<\/sup>, Vlad Moisoiu2,3<\/sup> and Ciprian Tomuleasa3<\/sup><\/p>\n\n\n\n

<\/a>1 <\/sup>Department of Mathematics, “Babe\u015f\u2013Bolyai” University, Cluj-Napoca, Romania<\/a>2 <\/sup>IMOGEN Research Institute County Clinical Emergency Hospital, Cluj-Napoca, Romania<\/a>3 <\/sup>Department of Hematology, “Ion Chiricu\u0163\u0103” Clinical Cancer Center, Cluj-Napoca, Romania<\/p>\n\n\n\n

Abstract:<\/span><\/strong> Even if the successful pharmacological therapy for chronic myeloid leukemia has reached today a near normal life expectancy in a patient diagnosed with this malignancy, almost one in four patients will change the line of tyrosin-kinase inhibitors during therapy, may it be due to poor response of due to intolerance to therapy. In this paper, starting from a mathematical characterization of the chronic phase in myeloid leukemia, a theoretical investigation of optimal therapy is undertaken as base for further pharmaceutical research and personalized treatment protocols.<\/p>\n\n\n\n

Subject Classification:<\/span><\/strong> 92B05, 92D25, 92C50<\/p>\n\n\n\n

Keywords<\/strong>:<\/mark> Mathematical model; Chronic myeloid leukemia; Dynamic system; Optimization problem.<\/p>\n\n\n\n

Cite As:<\/span><\/strong> Lorand Gabriel Parajdi, Radu Precup, Delia Dima, Vlad Moisoiu & Ciprian Tomuleasa (2020) Theoretical basis of optimal therapy for individual patients in chronic myeloid leukemia: A mathematical approach, Journal of Interdisciplinary Mathematics, 23:3, 669-690,  DOI: 10.1080\/09720502.2019.1681699.<\/p>\n\n\n\n

References:<\/span><\/strong>
1.<\/span><\/strong> Tomuleasa, C., D. Dima, I. Frinc, et al<\/em> . BCR-ABL1 T315I mutation, a negative prognostic factor for the terminal phase of chronic myelogenous leukemia treated with first- and second-line tyrosine kinase inhibitors, might be an indicator of allogeneic stem cell transplant as the treatment of choice.<\/em> Leuk Lymphoma, (2014<\/strong>) 56: 546-7.  [Taylor & Francis Online]<\/span><\/a>, [Google Scholar]<\/span><\/a>

2.<\/strong><\/span> Hochhaus, A. , S. Saussele, G. Rosti, et al<\/em> . Chronic myeloid leukaemia: ESMO Clinical Practice Guidelines for diagnosis, treatment and follow-up.<\/em> Annals of Oncology. (2017<\/strong>) 28(suppl 4): iv41-iv51. [Article]<\/span><\/a>

3.<\/span><\/strong> Timis, T. , C. Berce, A. Duarte-Garcia, et al<\/em> . Paraneoplastic syndromes with connective tissue involvement. \u201cIt\u2019s not always lupus!\u201d<\/em>, J. BUON. (2012<\/strong>) 17: 417-21. [Google Scholar]<\/span><\/a>

4.<\/span><\/strong> Frinc, I. , M.S. Muresan, F. Zaharie, et al<\/em> . Cancer stem-like cells: the dark knights of clinical hematology and oncology.<\/em> J. BUON. (2014<\/strong>) 19(2): 328-35. [Google Scholar]<\/span><\/a>

5.<\/span><\/strong> Adimy, M. , F. Crauste and S. Ruan . A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia.<\/em> SIAM J. Appl. Math. (2005<\/strong>) 65: 1328\u20131352.  [Article]<\/span><\/a>

6.<\/span><\/strong> Dale, D.C. and M.C. Mackey . Understanding, treating and avoiding hematological disease: Better medicine through mathematics?<\/em> Bull. Math. Biol. (2015<\/strong>) 77: 739\u2013757.  [Article]<\/span><\/a>

7.<\/span><\/strong> Foley, C. and M.C. Mackey . Dynamic hematological disease: a review.<\/em> J. Math. Biol. (2009<\/strong>) 58: 285\u2013322.  [Article]<\/span><\/a>

8.<\/span><\/strong> He, Q. , J. Zhu, D. Dingli, et al<\/em> . Optimized treatment schedules for chronic myeloid leukemia.<\/em> PLoS Comput. Biol. (2016<\/strong>) 12(10): e1005129. [Article]<\/span><\/a>

9.<\/span><\/strong> Jayachandran, D. , A.E. Rundell, R.E. Hannemann, et al<\/em> . Optimal chemotherapy for leukemia: a model-based strategy for individualized treatment.<\/em> PLoS ONE (2014<\/strong>) 9(10): e109623. [Article]<\/span><\/a>

10.<\/span><\/strong> Kaplan, D. and L. Glass . Understanding Nonlinear Dynamics<\/em> . New York : Springer (1995<\/strong>). [Book]<\/span><\/a>

11.<\/span><\/strong> Mac Lean, A.L. , C. Lo Celso and M.P.H. Stumpf . Population dynamics of normal and leukaemia stem cells in the haematopoietic stem cell niche show distinct regimes where leukaemia will be controlled.<\/em> J. R. Soc. Interface  (2013<\/strong>) 10: 20120968. [Article]<\/span><\/a>

12.<\/span><\/strong> Sbeity, H. and R. Younes. Review of optimization methods for cancer chemotherapy treatment planning.<\/em> J. Comput. Sci. Syst. Biol. (2015<\/strong>) 8: 74\u201395. [Article]<\/span><\/a>

13.<\/span><\/strong> Mackey, M.C. and L. Glass . Oscillation and chaos in physiological control systems.<\/em> Science (1977<\/strong>) 197: 287\u2013289. [Article]<\/span><\/a>

14.<\/span><\/strong> Dingli, D. and F. Michor . Successful therapy must eradicate cancer stem cells.<\/em> Stem Cells (2006<\/strong>) 24: 2603\u20132610. [Article]<\/span><\/a>

15.<\/span><\/strong> Cucuianu, A. and R. Precup . A hypothetical-mathematical model of acute myeloid leukemia pathogenesis.<\/em> Comput. Math. Methods Med. (2010<\/strong>) 11: 49\u201365. [Taylor & Francis Online]<\/span><\/a>, [Google Scholar]<\/span><\/a>

16.<\/span><\/strong> Parajdi, L. Modeling the treatment of tumor cells in a solid tumor.<\/em> J. Nonlinear Sci. Appl. (2014<\/strong>) 7(3): 188\u2013195. [Article]<\/span><\/a>

17.<\/span><\/strong> Michor, F. , T.P. Hughes, Y. Iwasa, et al<\/em> . Dynamics of chronic myeloid leukaemia.<\/em> Nature (2005<\/strong>) 435: 1267\u20131270. [Article]<\/span><\/a>

18.<\/span><\/strong> Precup, R. , S. Arghirescu, A. Cucuianu, et al<\/em> . Mathematical modeling of cell dynamics after allogeneic bone marrow transplantation in acute myeloid leukemia.<\/em> Int. J. Biomath. (2012<\/strong>) 5: 1250026 [18 pages]. [Article]<\/span><\/a>

19.<\/span><\/strong> Precup, R. , M.A. Serban, D. Trif, et al<\/em> . A planning algorithm for correction therapies after allogeneic stem cell transplantation.<\/em> J. Math. Model. Algor. (2012<\/strong>) 11: 309\u2013323. [Article]<\/span><\/a>

20.<\/span><\/strong> Precup, R. Mathematical understanding of the autologous stem cell transplantation.<\/em> Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity (2012<\/strong>) 10: 155-167. [Google Scholar]<\/span><\/a>

21.<\/span><\/strong> Parajdi, L.G. , R. Precup, E.A. Bonci and C. Tomuleasa . A mathematical model of the transition from the normal hematopoiesis to the chronic and acceleration-acute stages in myeloid leukemia.<\/em> Mathematics (2020<\/strong>) 8(3):376.  <\/a>[Article]<\/span><\/a>

22.<\/span><\/strong> Hideo, E. , M. Yohei and S. Toshio . Heterogeneity and hierarchy of hematopoietic stem cells.<\/em> Exp. Hematol.<\/em> (2014<\/strong>) 42(2): 74-82.  [Article]<\/span><\/a>

23.<\/span><\/strong> Herzenberg, L.A. , D. Parks, B. Sahaf, et al<\/em> . The History and Future of the Fluorescence Activated Cell Sorter and Flow Cytometry: A View from Stanford.<\/em> Clin. Chem. (2002<\/strong>) 48(10): 1819-1827. [Article]<\/span><\/a>

24.<\/span><\/strong> Dayneka, N.L. , V. Garg and W.L. Jusko . Comparison of four basic models of indirect pharmacodynamic responses.<\/em> J. Pharmacokinet. Pharmacodyn. (1993<\/strong>) 21(4): 457-478.  [Article]<\/span><\/a>

25.<\/span> <\/strong>Karmanov, V.G. Mathematical Programming<\/em> . Moscow : Mir Publishers  (1989<\/strong>).  [Google Scholar]<\/span><\/a>

26.<\/span><\/strong> Lupt\u00e1\u010cik, M. Mathematical Optimization and Economic Analysis<\/em> . New York : Springer (2010<\/strong>).  [Book]<\/span><\/a>

27.<\/span><\/strong> Heck, A. Introduction to Maple,<\/em> 3rd edn. New York : Springer (2003<\/strong>). [Book]<\/span><\/a>

28.<\/span><\/strong> Parajdi, L.G. Mathematical modeling of cell dynamics and optimization problems in chronic myeloid leukemia therapy<\/em> (Abstract). 11th European Conference on Mathematical and Theoretical Biology (ECMTB 2018) – Book of Abstracts<\/em> . Ed. MairaAguiar . Lisbon: Portuguese Mathematical Society. pp. 252-253. [Book of Abstracts]<\/span><\/a> (2018<\/strong>). [Google Scholar]<\/span><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Theoretical Basis of Optimal Therapy for Individual Patients in Chronic Myeloid Leukemia: A Mathematical ApproachResearch Paper, July 6, 2020 \/ Lorand Gabriel Parajdi Published in Taylor & Francis Online, Journal of Interdisciplinary Mathematics 23(3), 669-690, DOI: 10.1080\/09720502.2019.1681699,  2020.   Paper is available on the Taylor & Francis Online, Journal of Interdisciplinary Mathematics website: https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/09720502.2019.1681699 Authors: Lorand Gabriel Parajdi1, Radu … Continue reading Article no.5<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/734"}],"collection":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/comments?post=734"}],"version-history":[{"count":31,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/734\/revisions"}],"predecessor-version":[{"id":5406,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/734\/revisions\/5406"}],"wp:attachment":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/media?parent=734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}