Simple Model of Cell Cycle Dynamics

被引:0
|
作者
Petelin, Dmitriy V. [1 ]
Sadovskiy, Mikhail G. [2 ]
机构
[1] Siberian Fed Univ, Inst Math, Svobodnyy Ave 79, Krasnoyarsk 660041, Russia
[2] Russian Acad Sci, Siberian Branch, Inst Computat Modelling, Krasnoyarsk 5044, Russia
关键词
optimality; allometric growth; hybrid automata; polyhedron; cone; stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The mathematical model of dynamics of a cell cycle on the basis of the theory allometric growth is developed. The way of a finding of stationary and periodic points on the basis of the geometrical description of model has been found.
引用
收藏
页码:382 / 384
页数:3
相关论文
共 50 条
  • [1] A simple cycle-averaged model for cardiovascular dynamics
    Parlikar, Tushar A.
    Verghese, George C.
    [J]. 2005 27TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-7, 2005, : 5490 - 5494
  • [2] Dynamics in a delayed diffusive cell cycle model
    Wang, Yanqin
    Yang, Ling
    Yan, Jie
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (05): : 691 - 709
  • [3] A simple time delay model for eukaryotic cell cycle
    Srividhya, J.
    Gopinathan, M. S.
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2006, 241 (03) : 617 - 627
  • [4] PDE model of cell cycle dynamics and clustering in yeast
    Wieczorek, Radoslaw
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 482 (02)
  • [5] A MODEL FOR DYNAMICS OF CELL DIVISION CYCLE IN ONION ROOTS
    GONZALEZ.A
    LOPEZSAE.JF
    MORENO, P
    GIMENEZM.G
    [J]. PROTOPLASMA, 1968, 65 (03) : 263 - +
  • [6] A Simple Model for the Solar Cycle
    A. Pontieri
    F. Lepreti
    L. Sorriso-Valvo
    A. Vecchio
    V. Carbone
    [J]. Solar Physics, 2003, 213 : 195 - 201
  • [7] Implications of a simple mathematical model to cancer cell population dynamics
    Garner, AL
    Lau, YY
    Jordan, DW
    Uhler, MD
    Gilgenbach, RM
    [J]. CELL PROLIFERATION, 2006, 39 (01) : 15 - 28
  • [8] A population balance model describing the cell cycle dynamics of myeloma cell cultivation
    Liu, Yuan-Hua
    Bi, Jing-Xiu
    Zeng, An-Ping
    Yuan, Jing-Qi
    [J]. BIOTECHNOLOGY PROGRESS, 2007, 23 (05) : 1198 - 1209
  • [9] Single cell nanoparticle tracking to model cell cycle dynamics and compartmental inheritance
    Errington, Rachel J.
    Brown, Martyn R.
    Silvestre, Oscar F.
    Njoh, Kerenza L.
    Chappell, Sally C.
    Khan, Imtiaz A.
    Rees, Paul
    Wilks, Steve P.
    Smith, Paul J.
    Summers, Huw D.
    [J]. CELL CYCLE, 2010, 9 (01) : 121 - 130
  • [10] A simple model of Keratocyte membrane dynamics: The case of motionless living cell
    Abu Hamed, Mohammad
    Nepomnyashchy, Alexander A.
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2020, 408