Dynamic modeling of complex biological systems: a link between metabolic and macroscopic description

被引:30
|
作者
Haag, JE
Wouwer, AV
Bogaerts, P
机构
[1] Fac Polytech Mons, Serv Automat, B-7000 Mons, Belgium
[2] Free Univ Brussels, Serv Chim Gen & Biosyst, B-1050 Brussels, Belgium
关键词
biotechnology; mathematical modeling; model reduction; parameter estimation; non-linear systems;
D O I
10.1016/j.mbs.2004.11.007
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this study, a class of dynamic models based on metabolic reaction pathways is analyzed, showing that systems with complex intracellular reaction networks can be represented by macroscopic reactions relating extracellular components only. Based on rigorous assumptions, the model reduction procedure is systematic and allows an equivalent 'input-output' representation of the system to be derived. The procedure is illustrated with a few examples. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:25 / 49
页数:25
相关论文
共 50 条
  • [1] Mathematical Modeling and Dynamic Analysis of Complex Biological Systems
    Vande Wouwer, Alain
    Bogaerts, Philippe
    Van Impe, Jan
    Vargas, Alejandro
    COMPLEXITY, 2019, 2019
  • [2] Complex Riccati equations as a link between different approaches for the description of dissipative and irreversible systems
    Schuch, Dieter
    SYMMETRIES IN SCIENCE XV, 2012, 380
  • [3] Macroscopic description of complex adaptive networks coevolving with dynamic node states
    Wiedermann, Marc
    Donges, Jonathan F.
    Heitzig, Jobst
    Lucht, Wolfgang
    Kurths, Juergen
    PHYSICAL REVIEW E, 2015, 91 (05)
  • [4] From microscopic to macroscopic description of multicellular systems and biological growing tissues
    Bellomo, Nicola
    Bellouquid, Abdelghani
    Herrero, Miguel A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 53 (3-4) : 647 - 663
  • [5] Multicellular biological growing systems: Hyperbolic limits towards macroscopic description
    Bellomo, N.
    Bellouquid, A.
    Nieto, J.
    Soler, J.
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (01): : 1675 - 1692
  • [6] Biosimulation: Dynamic modeling of biological systems
    Hall, K
    Baillie, R
    Michelson, S
    ANNUAL REPORTS IN MEDICINAL CHEMISTRY, VOL 37, 2002, 37 : 279 - 288
  • [7] Steps of modeling complex biological systems
    Voit, E. O.
    Qi, Z.
    Miller, G. W.
    PHARMACOPSYCHIATRY, 2008, 41 : S78 - S84
  • [8] Biological systems modeling of metabolic and signaling networks
    Wayman, Joseph A.
    Varner, Jeffrey D.
    CURRENT OPINION IN CHEMICAL ENGINEERING, 2013, 2 (04) : 365 - 372
  • [9] SELFCONSISTENT SEMICLASSICAL DESCRIPTION OF AVERAGE NUCLEAR PROPERTIES - A LINK BETWEEN MICROSCOPIC AND MACROSCOPIC MODELS
    BRACK, M
    GUET, C
    HAKANSSON, HB
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1985, 123 (05): : 275 - 364
  • [10] Network modeling of complex dynamic systems
    Tadic, Bosiljka
    COMPUTATIONAL SCIENCE - ICCS 2008, PT 2, 2008, 5102 : 525 - 526