• J. Schnakenberg
Part of the Universitext book series (UTX)


Particularly in the preceding Chapter 6 we have seen the significance of stability properties for biological network models. This experience leads us to devote the present chapter to a development of quite general techniques for a stability analysis of networks. Such an analysis can be performed under two different aspects: a thermodynamic aspect, which relates stability to thermodynamic properties of the network like entropy production and the second law; and a nonthermodynamic aspect, which derives the stability properties from the mathematical structure of the differential equations represented by the network on the basis of a topological analysis. Sections 7.1 to 7.4 of this chapter will be devoted to the thermodynamic aspect and in Sections 7.5 to 7.7 we briefly describe a few simple techniques to obtain information on stability from a topological analysis.


Closed Loop Entropy Production Autocatalytic Reaction Nonequilibrium Steady State Unique Steady State 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1977

Authors and Affiliations

  • J. Schnakenberg
    • 1
  1. 1.Institut für Theoretische PhysikRhein.-Westf.-Techn. HochschuleAachenGermany

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