Approximations and their consequences for dynamic modelling of signal transduction pathways

T. Millat, Eric Bullinger, J. Rohwer, O. Wolkenhauer

Research output: Contribution to journalArticle

32 Citations (Scopus)
19 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)40-57
Number of pages18
JournalMathematical Biosciences
Volume207
Issue number1
Early online date24 Aug 2006
DOIs
Publication statusPublished - May 2007

Keywords

  • dynamical modelling
  • signal transduction
  • approximations
  • conservation laws
  • stationary states
  • neglect of components
  • signalling cascades
  • feedback loops

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