Hybrid mathematical model of leukemic diseases

被引：0
|
作者：
Zettam, Manel Yousra [1 ]
Bouizem, Mohammed [2 ,3 ]
Djellouli, Ghaouti [4 ]
Lakmeche, Abdelkader [2 ]
机构：
[1] Univ Tlemcen, Lab Dynam Syst & Applicat, BP 119, Tilimsen 13000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Biomath, BP 89, Sidi Bel Abbes 22000, Algeria
[3] Univ Tlemcen, Fac Sci, Dept Math, BP 119, Tilimsen 13000, Algeria
[4] Univ Saida, Fac Sci, Dept Biol, BP 138, Saida 20000, Algeria
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 495卷 / 02期
关键词：
Chronic myeloid leukemia; Hybrid mathematical model; Partial differential equation; Ordinary differential equation; Steady states; Stability; THERAPY;
D O I：
10.1016/j.jmaa.2020.124731
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a hybrid mathematical model of leukemic diseases. The model is constituted by a partial differential equation describing the evolution of normal hematopoietic stem cells and a differential equation describing the evolution of leukemic stem cells. We study the existence of steady states and their stability, and we provide some simulations to illustrate our results. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] An innovative hybrid mathematical hierarchical regression model for breast cancer diseases analysis
    Jenefer, B. Monica
    Cyrilraj, V.
    CLUSTER COMPUTING-THE JOURNAL OF NETWORKS SOFTWARE TOOLS AND APPLICATIONS, 2019, 22 (Suppl 6): : 13923 - 13936
  • [2] An innovative hybrid mathematical hierarchical regression model for breast cancer diseases analysis
    B. Monica Jenefer
    V. Cyrilraj
    Cluster Computing, 2019, 22 : 13923 - 13936
  • [3] Mathematical model for polygenic diseases
    Datta, SS
    MEDICAL HYPOTHESES, 2005, 64 (06) : 1240 - 1241
  • [4] A mathematical model of infectious diseases
    Huang, Guangping
    Li, Ling
    ANNALS OF OPERATIONS RESEARCH, 2009, 168 (01) : 41 - 80
  • [5] A mathematical model of infectious diseases
    Guangping Huang
    Ling Li
    Annals of Operations Research, 2009, 168 : 41 - 80
  • [6] MATHEMATICAL-MODEL OF ACUTE MYELOBLASTIC LEUKEMIC STATE IN MAN
    RUBINOW, SI
    LEBOWITZ, JL
    BIOPHYSICAL JOURNAL, 1976, 16 (08) : 897 - 910
  • [7] MATHEMATICAL-MODEL OF LEUKEMIC-CELL CIRCULATION IN THE MOUSE
    KIMMEL, M
    KIMMEL, B
    SKIERSKI, J
    MATHEMATICAL BIOSCIENCES, 1983, 67 (01) : 81 - 99
  • [8] A mathematical model for indirectly transmitted diseases
    Fitzgibbon, W. E.
    Langlais, M.
    Morgan, J. J.
    MATHEMATICAL BIOSCIENCES, 2007, 206 (02) : 233 - 248
  • [9] A mathematical model for a hybrid anaerobic reactor
    Saravanan, V.
    Sreekrishnan, T. R.
    JOURNAL OF ENVIRONMENTAL MANAGEMENT, 2008, 88 (01) : 136 - 146
  • [10] MATHEMATICAL MODEL OF A HYBRID SOLAR PANEL
    Collins, Robert P.
    Gutierrez-Miravete, Ernesto
    ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2014, VOL 6B, 2015,
12345