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Aspects of Reaction Network Structure

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

Abstract

Our aim in this chapter is to provide a vocabulary with which reaction network structure might be discussed. Although some of the terms will find use well before others, they are all intimately related. For this reason we will find it advantageous to locate their definitions in one place. At the end of the chapter, there is an appendix, in which we discuss a sense in which a reaction network can sometimes be decomposed into independent subnetworks. This is an important aspect of reaction network structure, one that belongs naturally in this chapter. Nevertheless, the discussion of the decomposition has been placed in an appendix because it is slightly more technical than the rest and is not essential to an understanding of the chapters immediately following.

References

  1. 73.
    Feinberg, M.: Chemical reaction network structure and the stability of complex isothermal reactors I. The deficiency zero and deficiency one theorems. Chemical Engineering Science 42(10), 2229–2268 (1987)Google Scholar
  2. 98.
    Greub, W.H.: Linear Algebra, 4th edn. Springer, New York (1981)zbMATHGoogle Scholar

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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