Foundations of Chemical Reaction Network Theory

  • Martin Feinberg

Part of the Applied Mathematical Sciences book series (AMS, volume 202)

Table of contents

  1. Front Matter
    Pages I-XXIX
  2. Part I

  3. Part II

    1. Front Matter
      Pages 69-72
    2. Martin Feinberg
      Pages 73-88
    3. Martin Feinberg
      Pages 89-104
    4. Martin Feinberg
      Pages 105-125
    5. Martin Feinberg
      Pages 205-240
    6. Martin Feinberg
      Pages 241-268
  4. Part III

    1. Front Matter
      Pages 269-271
    2. Martin Feinberg
      Pages 273-291
    3. Martin Feinberg
      Pages 293-307
    4. Martin Feinberg
      Pages 309-320
    5. Martin Feinberg
      Pages 359-398
    6. Martin Feinberg
      Pages 399-417
    7. Martin Feinberg
      Pages 419-440
  5. Back Matter
    Pages 441-454

About this book


This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results.


Chemical Reaction Network Theory Systems Biology Reaction Networks Kinetics Deficiency Zero Theorem Deficiency One Theorem Networks Dynamic Systems Differential Equations Stability Biochemistry Mathematical Biology

Authors and affiliations

  • Martin Feinberg
    • 1
  1. 1.Chemical & Biomolecular EngineeringThe Ohio State UniversityColumbusUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-03857-1
  • Online ISBN 978-3-030-03858-8
  • Series Print ISSN 0066-5452
  • Series Online ISSN 2196-968X
  • Buy this book on publisher's site