Predictive Models for Cellular Signaling Networks

  • Dagmar IberEmail author
  • Georgios Fengos
Part of the Methods in Molecular Biology book series (MIMB, volume 880)


This chapter provides an introduction to the formulation and analysis of differential-equation-based models for biological regulatory networks. In the first part, we discuss basic reaction types and the use of mass action kinetics and of simplifying approximations in the development of models for biological signaling. In the second part we introduce phase plane and linear stability analysis to evaluate the time evolution and identify the long-term attractors of dynamic systems. We then discuss the use of bifurcation diagrams to evaluate the parameter dependency of qualitative network behaviors (i.e., the emergence of oscillations or switches), and we give measures for the sensitivity and robustness of the signaling output.

Key words

Mathematical modeling ODE models Signaling models 



We thank members of the Iber group for the critical reading of the manuscript. This work was financially supported by SystemsX, the Swiss Initiative for Systems Biology, with an iPhD grant and an RTD grant through the InfectX project.


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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Biosystems, Science, and Engineering (D-BSSE)ETH ZurichBaselSwitzerland

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