Hybrid cellular automaton method for homogeneous tumour growth modelling

被引：0
|
作者：
Zapolski, Kirill M. [1 ]
Admiralskiy, Yury B. [1 ]
Bratus, Alexander S. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Computat Math & Cybernet, Moscow, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2014年 / 29卷 / 05期
关键词：
Hybrid cellular automaton; tumour proliferation; tumour modelling; cancer modelling;
D O I：
10.1515/rnam-2014-0026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a discrete planar model of the tumour growth is presented. The model is based on hybrid cellular automaton and describes the tumour in a homogeneous tissue. The tissue consists of healthy cells and can have irregular vasculature. The model simulates proliferation processes and necrotic cells appearance which depends on the oxygen supply. There exists a stable solution, which may be used as an approximation of the tissue. Described HCA model can be extended with angiogenesis, nutrients and factors fields.
引用
收藏
页码：319 / 329
页数：11
相关论文
共 50 条
  • [1] An evolutionary hybrid cellular automaton model of solid tumour growth
    Gerlee, P.
    Anderson, A. R. A.
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2007, 246 (04) : 583 - 603
  • [2] A cellular automaton model for tumour growth in inhomogeneous environment
    Alarcón, T
    Byrne, HM
    Maini, PK
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2003, 225 (02) : 257 - 274
  • [3] Modelling of the Dendritic Crystallization by the Cellular Automaton Method
    Zyska, A.
    Konopka, Z.
    Lagiewka, M.
    Nadolski, M.
    [J]. ARCHIVES OF FOUNDRY ENGINEERING, 2016, 16 (01) : 99 - 106
  • [4] A Cellular Automaton Model for Hypoxia Effects on Tumour Growth Dynamics
    Al-Mamun, M. A.
    Srisukkham, W.
    Fall, C.
    Bass, R.
    Hossain, A.
    Farid, D. M.
    [J]. 8TH INTERNATIONAL CONFERENCE ON SOFTWARE, KNOWLEDGE, INFORMATION MANAGEMENT AND APPLICATIONS (SKIMA 2014), 2014,
  • [5] Solidification microstructure modelling using cellular automaton method
    Wang, H.
    Li, Q.
    [J]. FRONTIERS IN MATERIALS SCIENCE AND TECHNOLOGY, 2008, 32 : 271 - 274
  • [6] A modified cellular automaton method for polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys
    Michelic, S. C.
    Thuswaldner, J. M.
    Bernhard, C.
    [J]. MCWASP XIII: INTERNATIONAL CONFERENCE ON MODELING OF CASTING, WELDING AND ADVANCED SOLIDIFICATION PROCESSES, 2012, 33
  • [7] A quantitative cellular automaton model of in vitro multicellular spheroid tumour growth
    Piotrowska, Monika Joanna
    Angus, Simon D.
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2009, 258 (02) : 165 - 178
  • [8] Analysis of behaviour transitions in tumour growth using a cellular automaton simulation
    Santos, Jose
    Monteagudo, Angel
    [J]. IET SYSTEMS BIOLOGY, 2015, 9 (03) : 75 - 87
  • [9] A cellular automaton technique for modelling of a binary dendritic growth with convection
    Li, Daming
    Li, Ruo
    Zhang, Pingwen
    [J]. APPLIED MATHEMATICAL MODELLING, 2007, 31 (06) : 971 - 982
  • [10] Modeling of dendritic growth by means of cellular automaton method
    Li, Q
    Li, DZ
    Qian, BN
    [J]. ACTA PHYSICA SINICA, 2004, 53 (10) : 3477 - 3481
12345