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Foundations of Chemical Reaction Network Theory

Authors:

  • Provides clear introduction to the chemical basis and important theorems of chemical reaction network theory

  • Maximizes reader insights into powerful and wide-ranging theorems of chemical reaction network theory for use in a variety of applications

  • Summarizes the latest studies of chemical reaction network theory and covers many different applications while additionally providing mathematicians with access to (and motivation for) the more difficult underlying arguments for the theory

  • Equips readers to begin contributing to chemical reaction network theory

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

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  • ISBN: 978-3-030-03858-8
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Hardcover Book USD 79.99 USD 159.99
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Table of contents (20 chapters)

  1. Front Matter

    Pages I-XXIX
  2. Part II

    1. Front Matter

      Pages 69-72
    2. Aspects of Reaction Network Structure

      • Martin Feinberg
      Pages 73-88
    3. The Deficiency Zero Theorem

      • Martin Feinberg
      Pages 89-104
    4. Deficiency One Theory

      • Martin Feinberg
      Pages 105-125
    5. The Species-Reaction Graph

      • Martin Feinberg
      Pages 205-240
    6. The Big Picture Revisited

      • Martin Feinberg
      Pages 241-268
  3. Part III

    1. Front Matter

      Pages 269-271
    2. Quasi-Thermodynamic Kinetic Systems

      • Martin Feinberg
      Pages 273-291
    3. Detailed Balancing

      • Martin Feinberg
      Pages 293-307
    4. Complex Balancing

      • Martin Feinberg
      Pages 309-320

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.

Keywords

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

Reviews

“This book comprehensively describes network theory applied to chemical reactions, delivering powerful conclusions surprisingly following from hypotheses that are essentially formulated in terms of linear algebra and graph theory. ... The presentation is rich in material including motivating examples, applications to practical problems, guide to the literature, and mathematical proofs. It deserves a salient place in the section on mathematical chemistry of any library.” (Dieter Erle, zbMATH 1420.92001, 2019)

Authors and Affiliations

  • Chemical & Biomolecular Engineering, The Ohio State University, Columbus, USA

    Martin Feinberg

Bibliographic Information

Buying options

eBook USD 59.99 USD 119.00
50% discount Price excludes VAT (USA)
  • ISBN: 978-3-030-03858-8
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Hardcover Book USD 79.99 USD 159.99
50% discount Price excludes VAT (USA)