GLOBAL DYNAMICS OF ONE CHRONIC LYMPHOCYTIC LEUKEMIA MODEL

被引:0
|
作者
Villegas, Antonio [1 ]
Starkov, Konstantin E. [1 ]
机构
[1] Inst Politecn Nacl, Ctr Invest & Desarrollo Tecnol Digital, Ave IPN 1310, Tijuana 22510, BC, Mexico
关键词
TUMORS;
D O I
10.1109/ICMEAE.2015.49
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper we study some features of global behavior of one four-dimensional cancer model described by DePillis and Radunskaya in 2013. We find upper bounds for ultimate dynamics of all types of cells populations involved into this model. Also all the ultimate lower bounds. Further, we prove the existence of the bounded positively invariant polytope. Finally, we demonstrate local stability of the equilibrium point that we found.
引用
收藏
页码:211 / 216
页数:6
相关论文
共 50 条
  • [1] On the global dynamics of a chronic myelogenous leukemia model
    Krishchenko, Alexander P.
    Starkov, Konstantin E.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 33 : 174 - 183
  • [2] Chronic lymphocytic leukemia one disease?
    Hamblin, T
    HAEMATOLOGICA, 2002, 87 (12) : 1235 - 1238
  • [3] Is chronic lymphocytic leukemia one disease?
    Dighiero, G
    HAEMATOLOGICA, 2002, 87 (12) : 1233 - 1235
  • [4] Clonal dynamics in chronic lymphocytic leukemia
    Gutierrez, Catherine
    Wu, Catherine J.
    HEMATOLOGY-AMERICAN SOCIETY OF HEMATOLOGY EDUCATION PROGRAM, 2019, : 466 - 475
  • [5] LYMPHOCYTE DYNAMICS IN CHRONIC LYMPHOCYTIC LEUKEMIA
    PERRY, S
    NOUVELLE REVUE FRANCAISE D HEMATOLOGIE, 1968, 8 (05): : 625 - &
  • [6] Clonal dynamics in chronic lymphocytic leukemia
    Gutierrez, Catherine
    Wu, Catherine J.
    BLOOD ADVANCES, 2019, 3 (22) : 3759 - 3769
  • [7] Validation of a Mathematical Model Describing the Dynamics of Chemotherapy for Chronic Lymphocytic Leukemia In Vivo
    Guzev, Ekaterina
    Jadhav, Suchita Suryakant
    Hezkiy, Eleonora Ela
    Sherman, Michael Y.
    Firer, Michael A.
    Bunimovich-Mendrazitsky, Svetlana
    CELLS, 2022, 11 (15)
  • [8] Chronic lymphocytic leukemia: A tale of one or two signals?
    Chiorazzi, Nicholas
    Efremov, Dimitar G.
    CELL RESEARCH, 2013, 23 (02) : 182 - 185
  • [9] Chronic lymphocytic leukemia: A tale of one or two signals?
    Nicholas Chiorazzi
    Dimitar G Efremov
    Cell Research, 2013, 23 : 182 - 185
  • [10] Clonal dynamics of Richter transformation in chronic lymphocytic leukemia
    Wang, Hanyin
    Tian, Shulan
    Secreto, Charla R.
    Sinha, Sutapa
    Shi, Min
    Call, Timothy
    Wang, Yucai
    Parikh, Sameer A.
    Kenderian, Saad S.
    He, Rong
    Leis, Jose F.
    VanDyke, Daniel L.
    Klee, Eric W.
    Slager, Susan L.
    Braggio, Esteban
    Yan, Huihuang
    Ding, Wei
    HEMATOLOGICAL ONCOLOGY, 2024, 42 (04)