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Concentration Robustness and Its Importance in Biology: Some More Deficiency-Oriented Theorems

  • Martin Feinberg
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 202)

Abstract

This chapter is somewhat different from the surrounding ones, in which the interest is largely in network-structural conditions that confer a degree of stable behavior against composition perturbations within stoichiometric compatibility classes. The interest here is again in a kind of stability—in this case, precise maintenance of a desired concentration of a critical species—but now against composition perturbations, even very large ones, across stoichiometric compatibility classes. This chapter’s placement just after the preceding one results from its close connection to deficiency one theory. The connection will become more transparent in Part III, where we consider the common mathematics underlying both chapters.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Martin Feinberg
    • 1
  1. 1.Chemical & Biomolecular Engineering, The Ohio State UniversityColumbusUSA

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