Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

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

Document Type : Research Paper

Authors
ESMAIL HESAMEDDINI
MAHIN AZIZI
DEPARTMENT OF MATHEMATICAL SCIENCES, SHIRAZ UNIVERSITY OF TECHNOLOGY, P. O. BOX 71555-313, SHIRAZ, IRAN
10.22103/jmmrc.2017.1567
Abstract
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.
Keywords
Fractional di erential equations
Stability
Myelogenous leukemia blood cancer
Journal of Mahani Mathematical Research
Volume 5, Issue 2
SPECIAL ISSUE FOR SELECTED PAPERS OF CONFERENCE ON DYNALMICAL SYSTEMS AND GEOMETRIC THEORIES, 11-12 DECEMBER 2016, MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
February 2017
Pages 51-57

  • Receive Date 20 January 2017
  • Revise Date 26 January 2017
  • Accept Date 03 February 2017