PARTIAL STABILITY IN A MODEL FOR ALLERGIC REACTIONS INDUCED BY CHEMOTHERAPY OF ACUTE LYMPHOBLASTIC LEUKEMIA

Author:

Abdullah R., ,Halanay A.,Amin K.,Mghames R., , ,

Abstract

"A new model that captures the cellular evolution of patients undergoing maintenance therapy for acute lymphoblastic leukemia in connection with al¬lergic reactions is considered. A previous model from is modified to include the cells involved in allergies induced by chemotherapy and desensitization. Delay differential equations are used to model cell evolution. General properties of solutions are deduced, eventually proving partial stability of certain equilibria with respect to some of the variables. The immune sys¬tem’s functioning, as well as the therapeutic role for cancer cure without interference of allergic reactions caused by this treatment, are also evaluated using numerical simulations."

Publisher

Academia Oamenilor de Stiinta din Romania

Subject

General Mathematics

Reference37 articles.

1. [1]    M. Adimy, F. Crauste, S. Ruan, Modelling Hematopoiesis Mediated by Growth Factors With Applications to Periodic Hematological Diseases, Bul­letin of Mathematical Biology, p.1-13, (2006).

2. [2]    A. Aleksandrov, E. Aleksandrova, A. Zhabko, Y. Chen, Partial stability analy­sis of some classes of nonlinear systems, Acta Mathematica Scientia, 37B(2), p. 329-341, (2017).

3. [3]    K. Amin, I. Badralexi, A. Halanay, R. Mghames, A Stability Theorem for Equilibria of Delay Differential Equations in a Critical Case with Application To a Model of Cell Evolution, Math Model. Nat. Phenom.16 (36), p.1-13, (2021).

4. [4]    K. Atitey and B. Anchang, Mathematical Modeling of Proliferative Immune Response Initiated by Interactions Between Classical Antigen-Presenting Cells Under Joint Antagonistic IL-2 and IL-4 Signaling, Front. Mol. Biosci. 9:777390, p.1-4, ( 2022).

5. [5]    I. Badralexi, S. Balea, A. Halanay, D. Jardan, R. Radulescu, A complex model of cell evolution in leukemia including competition and the action of the im­mune system, Ann. Acad. Rom. Sci. Ser. Math. Appl. Vol. 12, p. 1-2, (2020).

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3