Advertisement

Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks?

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

Abstract

Anyone who passed through high school chemistry will remember that, in addition to more urgent adolescent preoccupations, there was the problem of “balancing chemical equations.” Not only was the total mass on the two sides of a chemical reaction supposed to be identical, so too were the total number of atoms of each kind and the total charge. In this chapter we will indicate not only why it makes sense to consider nonconservative networks but also why, if reaction network theory is to be wide-ranging in its utility, it is essential that we do so.

References

  1. 58.
    Edelstein, B.B.: Biochemical model with multiple steady states and hysteresis. Journal of Theoretical Biology 29(1), 57–62 (1970)CrossRefGoogle Scholar
  2. 93.
    Goentoro, L., Kirschner, M.W.: Evidence that fold-change, and not absolute level, of β-catenin dictates Wnt signaling. Molecular Cell 36(5), 872–884 (2009)CrossRefGoogle Scholar
  3. 109.
    Horn, F., Jackson, R.: General mass action kinetics. Archive for Rational Mechanics and Analysis 47(2), 81–116 (1972)MathSciNetCrossRefGoogle Scholar
  4. 136.
    Prigogine, I., Lefever, R.: Symmetry breaking instabilities in dissipative systems. II. The Journal of Chemical Physics 48(4), 1695–1700 (1968)CrossRefGoogle Scholar
  5. 150.
    Segel, I.H.: Enzyme Kinetics: Behavior and Analysis of Rapid Equilibrium and Steady-State Enzyme Systems. Wiley-Interscience, New York (1993)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

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

Personalised recommendations