Simple mathematical models for complicated biological systems

被引:0
|
作者
Glass, L [1 ]
机构
[1] McGill Univ, Dept Physiol, Montreal, PQ H3G 1Y6, Canada
来源
SIMPLICITY BEHIND COMPLEXITY | 2004年 / 3卷
关键词
qualitative dynamics; biological oscillations; spiral waves; cardiac arrhythmias; genetic networks;
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The advent of powerful computers has made possible the development of complex models to represent biological systems. Here I show how simple models may nevertheless be valuable for helping to understand the mechanisms of complex rhythms in biological systems. Specifically, I consider cellular automata models for the generation of spiral waves of activity, and differential equation models for biological oscillations and genetic networks. The simple models can help in the development of experiments and the formulation and evaluation of more realistic models.
引用
收藏
页码:61 / 68
页数:8
相关论文
共 50 条
  • [11] Simple or complicated agent-based models? A complicated issue
    Sun, Zhanli
    Lorscheid, Iris
    Millington, James D.
    Lauf, Steffen
    Magliocca, Nicholas R.
    Groeneveld, Juergen
    Balbi, Stefano
    Nolzen, Henning
    Mueller, Birgit
    Schulze, Jule
    Buchmann, Carsten M.
    ENVIRONMENTAL MODELLING & SOFTWARE, 2016, 86 : 56 - 67
  • [12] BIOLOGICAL AND MATHEMATICAL-MODELS
    ASHFORD, JR
    CHEMISTRY & INDUSTRY, 1981, (15) : 521 - 525
  • [13] PARAMETER-ESTIMATION IN MATHEMATICAL-MODELS OF BIOLOGICAL-SYSTEMS
    BEKEY, GA
    YAMASHIRO, SM
    ADVANCES IN BIOMEDICAL ENGINEERING, 1976, 6 : 1 - 43
  • [14] STABLE OSCILLATIONS IN MATHEMATICAL-MODELS OF BIOLOGICAL-CONTROL SYSTEMS
    GLASS, L
    PASTERNACK, JS
    JOURNAL OF MATHEMATICAL BIOLOGY, 1978, 6 (03) : 207 - 223
  • [15] Computer Systems - Simple, Complicated or Complex
    Strzalka, Dominik
    ADVANCES IN DEPENDABILITY ENGINEERING OF COMPLEX SYSTEMS, 2018, 582 : 383 - 393
  • [16] Compositional Models of Complicated Systems
    Dorogov, A. Yu.
    PROCEEDINGS OF THE XIX IEEE INTERNATIONAL CONFERENCE ON SOFT COMPUTING AND MEASUREMENTS (SCM 2016), 2016, : 111 - 113
  • [17] MODELS FOR MATHEMATICAL SYSTEMS
    MORRIS, AH
    COMMUNICATIONS OF THE ACM, 1966, 9 (08) : 551 - &
  • [18] Simple systems - simple models?
    New, SJ
    STRATEGIC MANAGEMENT OF THE MANUFACTURING VALUE CHAIN, 1998, 2 : 553 - 560
  • [19] Invited commentary:: Simple models for a complicated reality
    Schisterman, Enrique F.
    Hernandez-Diaz, Sonia
    AMERICAN JOURNAL OF EPIDEMIOLOGY, 2006, 164 (04) : 312 - 314
  • [20] Mathematical modeling of biological systems
    Motta, Santo
    Pappalardo, Francesco
    BRIEFINGS IN BIOINFORMATICS, 2013, 14 (04) : 411 - 422