Approximations and their consequences for dynamic modelling of signal transduction pathways

Millat, T. and Bullinger, Eric and Rohwer, J. and Wolkenhauer, O. (2007) Approximations and their consequences for dynamic modelling of signal transduction pathways. Mathematical Biosciences, 207 (1). pp. 40-57.

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    Abstract

    Signal transduction is the process by which the cell converts one kind of signal or stimulus into another. This involves a sequence of biochemical reactions, carried out by proteins. The dynamic response of complex cell signalling networks can be modelled and simulated in the framework of chemical kinetics. The mathematical formulation of chemical kinetics results in a system of coupled differential equations. Simplifications can arise through assumptions and approximations. The paper provides a critical discussion of frequently employed approximations in dynamic modelling of signal transduction pathways. We discuss the requirements for conservation laws, steady state approximations, and the neglect of components. We show how these approximations simplify the mathematical treatment of biochemical networks but we also demonstrate differences between the complete system and its approximations with respect to the transient and steady state behavior.

    • Item type:Article
      ID code:11996
      Dates:
      Date
      Event
      May 2007
      Published
      24 August 2006
      Published Online
      Keywords:dynamical modelling, signal transduction, approximations, conservation laws, stationary states, neglect of components, signalling cascades, feedback loops, Electrical engineering. Electronics Nuclear engineering, Agricultural and Biological Sciences(all), Biochemistry, Genetics and Molecular Biology(all), Modelling and Simulation, Applied Mathematics, Statistics and Probability, Immunology and Microbiology(all), Medicine(all)
      Subjects:Technology > Electrical engineering. Electronics Nuclear engineering
      Department:Faculty of Engineering > Electronic and Electrical Engineering
      Depositing user: Strathprints Administrator
      Date deposited:26 Jul 2011 11:03
      Last modified:24 Aug 2021 00:53
      URI:https://strathprints.strath.ac.uk/id/eprint/11996
    CORE (COnnecting REpositories)