TUMOR CELL GROWTH SUBJECTED TO CORRELATED NOISES AND TIME DELAY

被引：0
|
作者：
Feng, Y. L. [1 ]
Gao, L. L. [1 ]
Liu, Y. F. [1 ]
Zhang, M. [1 ]
Dong, J. M. [2 ]
机构：
[1] Lanzhou Univ, Hosp 2, Lanzhou 730000, Peoples R China
[2] Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
来源：
JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY | 2016年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Tumor cell growth; correlated noise; time delay; COMPUTER-SIMULATION; ANTITUMOR MODEL; FEMALE BREAST; COLOR NOISES; SYSTEM; EXTINCTION; DRIVEN; CANCER;
D O I：
10.1142/S0219519416500159
中图分类号：
Q6 [生物物理学];
学科分类号：
071011 ;
摘要：
The tumor cell growth with time -delayed feedback driven by correlated noises under the immune surveillance are investigated within an anti -tumor model. The effects of the noise correlation strength and time delay on the stationary probability distribution, the average tumor cell population and the mean first passage time (MFPT) are analyzed in detail based on the delay Fokker Planck equation. The effects of the correlation strength and time delay could play the same role in the average tumor cell population, but play opposite role in the MFPT. In addition, the role of the correlation strength and time delay for different activation thresholds of immune system is explored.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises
    Kang-Kang Wang
    Hui Ye
    Ya-Jun Wang
    Sheng-Hong Li
    The European Physical Journal E, 2018, 41
  • [32] Time-delay-induced dynamical behaviors for an ecological vegetation growth system driven by cross-correlated multiplicative and additive noises
    Wang, Kang-Kang
    Ye, Hui
    Wang, Ya-Jun
    Li, Sheng-Hong
    EUROPEAN PHYSICAL JOURNAL E, 2018, 41 (05):
  • [33] Stochastic resonance in a time-delayed tumor cell growth system driven by additive and multiplicative noises
    Zhang, Gang
    Shi, Jiabei
    Zhang, Tianqi
    MODERN PHYSICS LETTERS B, 2018, 32 (22):
  • [34] Effect of Time Delay on Stochastic Tumor Growth
    Tian Jing
    Chen Yong
    CHINESE PHYSICS LETTERS, 2010, 27 (03)
  • [35] Cross-correlation enhanced stability in a tumor cell growth model with immune surveillance driven by cross-correlated noises
    Zeng, Chunhua
    Zhou, Xiaofeng
    Tao, Shufen
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (49)
  • [36] Stochastic resonance in a tumor-immune system subject to bounded noises and time delay
    Guo, Wei
    Mei, Dong-Cheng
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 416 : 90 - 98
  • [37] The nonequilibrium phase transition and the symmetry revival induced by time delay in an asymmetric bistable system with correlated noises
    Long Fei
    Du Lu-Chun
    Mei Dong-Cheng
    CHINESE PHYSICS B, 2009, 18 (11) : 4738 - 4741
  • [38] The nonequilibrium phase transition and the symmetry revival induced by time delay in an asymmetric bistable system with correlated noises
    龙飞
    杜鲁春
    梅冬成
    Chinese Physics B, 2009, 18 (11) : 4738 - 4741
  • [39] Dynamical properties of a tumor growth system in the presence of immunization and colored cross-correlated noises
    Jia, Zheng-Lin
    Mei, Dong-Cheng
    PHYSICA SCRIPTA, 2010, 81 (05)
  • [40] Stochastic dynamical features for a time-delayed ecological system of vegetation subjected to correlated multiplicative and additive noises
    Wang, Kang-Kang
    Zong, De-Cai
    Zhou, Yu
    Wu, Jian-Cheng
    CHAOS SOLITONS & FRACTALS, 2016, 91 : 490 - 502
12345