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HESAMEDDINI, ESMAIL, AZIZI, MAHIN. (1395). GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT. , 5(2), 51-57. doi: 10.22103/jmmrc.2017.1567
ESMAIL HESAMEDDINI; MAHIN AZIZI. "GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT". , 5, 2, 1395, 51-57. doi: 10.22103/jmmrc.2017.1567
HESAMEDDINI, ESMAIL, AZIZI, MAHIN. (1395). 'GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT', , 5(2), pp. 51-57. doi: 10.22103/jmmrc.2017.1567
HESAMEDDINI, ESMAIL, AZIZI, MAHIN. GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT. , 1395; 5(2): 51-57. doi: 10.22103/jmmrc.2017.1567

GRUNWALD-LETNIKOV SCHEME FOR SYSTEM OF CHRONIC MYELOGENOUS LEUKEMIA FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL OF DRUG TREATMENT

Journal of Mahani Mathematical Research
مقاله 1، دوره 5، شماره 2، اردیبهشت 2017، صفحه 51-57    اصل مقاله (120.36 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmrc.2017.1567
نویسندگان
ESMAIL HESAMEDDINI* ؛ MAHIN AZIZI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF TECHNOLOGY, P. O. BOX 71555-313, SHIRAZ, IRAN
چکیده
In this article, a mathematical model describing the growth or
terminating myelogenous leukemia blood cancer's cells against naive T-cell
and e ective T-cell population of body, presented by fractional di erential
equations. We use this model to analyze the stability of the dynamics, which
occur in the local interaction of e ector-immune cell and tumor cells. We
will also investigate the optimal control of combined chemo-immunotherapy.
We claim that our fractional di erential equations model is superior to its
ordinary di erential equations counterpart in facilitating understanding of the
natural immune interactions to tumor and of the detrimental side e ects which
chemotherapy may have on a patient's immune system.
کلیدواژه‌ها
Fractional di erential equations؛ Stability؛ Myelogenous leukemia blood cancer
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