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.
KeywordsClosed Loop Entropy Production Autocatalytic Reaction Nonequilibrium Steady State Unique Steady State
Unable to display preview. Download preview PDF.