Skip to main content

Nonequilibrium thermodynamics, dissipative structures, and biological order

  • Chapter
  • First Online:
Book cover Lectures in Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 28))

This article is based in part on a series of lectures presented by G. Nicolis at the Advanced School for Statistical Mechanics and Thermodynamics, Austin, Texas, 1970.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. For an overview and recent developments in a biological context, see I. PRIGOGINE, G. NICOLIS, and A. BABLOYANTZ: Physics Today 25 (No. 11) 23 and (No. 12) 38 (1972); I. PRIGOGINE and G. NICOLIS: Quart. Rev. Biophys. 4, 107 (1971).

    Google Scholar 

  2. P. GLANSDORFF AND J. PRIGOGINE: Thermodynamic Theory of Structure, Stability and Fluctuations (Wiley-Interscience, New York, 1971).

    Google Scholar 

  3. (a) For a comprehensive discussion of linear irreversible thermodynamics within the framework of the. local equilibrium assumption, see S. R. DEGROOT and P. MAZUR: Non-Equilibrium Thermodynamics (North Holland, Amsterdam, 1962); (b) I. PRIGOGINE: Introduction to Thermodynamics of.Irreversible Processes, 3rd Ed. (Wiley-InterScience, New York, 1967); (c) A. KATCHALSKY and P. F. CURRAN: Nonequilibrium Thermodynamics in Biophysics (Harvard Univ. Press, Cambridge, Mass., 1965).

    Google Scholar 

  4. I. PRIGOGINE: Physica 14, 272 (1949); G. NICOLIS, J. WALLENBORN, and M. G. VELARDE: Physica 43, 263 (1969).

    Article  Google Scholar 

  5. L. ONSAGER: Phys. Rev. 37, 405 and 38, 2265 (1931).

    Article  Google Scholar 

  6. Indeed, in his original work [5] Onsager presented a principle of least dissipation of energy for steady nonequilibrium states. Anticipating later extension to nonlinear irreversible processes, we consider instead an approach based on the theorem of minimum entropy production (due to Prigogine: see Refs. [2];or [3] for details).

    Google Scholar 

  7. P. GLANSDORFF AND I. PRIGOGINE: Physica 20, 773 (1954); ibid, 30, 351 (1964).

    Google Scholar 

  8. G. NICOLIS: Adv. Chem. Phys. 19, 209 (1971).

    Google Scholar 

  9. For details and proofs see, e.g., N. MINORSKY: Nonlinear Oscillations (Van Nostrand, Princeton, N. J., 1962).

    Google Scholar 

  10. G. NICOLIS AND J. PORTNOW: “Chemical Oscillations”, Chem. Revs. (to appear, 1973).

    Google Scholar 

  11. G. NICOLIS: to be published (1973).

    Google Scholar 

  12. M. HERSCHKOWITZ-KAUFMAN AND J. K. PLATTEN: Bull. Cl. Sci. Acad. Roy. Belg. 52, 26 (1971); M. HERSCHKOWITZ-KAUFMAN and G. NICOLIS: J. Chem. Phys. 56, 1890 (1972).

    Google Scholar 

  13. J. S. TURNER: Physics Letters 44A, 395 (1973); Bull. Math. Biophys. (Dec., 1973).

    Google Scholar 

  14. Y. KOBATAKE: Physica 48, 301 (1970).

    Article  Google Scholar 

  15. J. S. TURNER: in Membranes, Dissipative Structures and Evolution, proceedings of a workshop, Brussels, 1972 (to appear, 1974).

    Google Scholar 

  16. D. A. MCQUARRIE: Stochastic Approach to Chemical Kinetics, Vol. 8 of Suppl. Rev. Ser. in Applied Probability (Methuen, London, 1967).

    Google Scholar 

  17. G. NICOLIS AND A. BABLOYANTZ: J. Chem. Phys. 51, 2632 (1969).

    Article  Google Scholar 

  18. G. NICOLIS AND I. PRIGOGINE: Proc. Nat. Acad. Sci. (USA) 68, 2102 (1971); G. NICOLIS: J. Stat. Phys. 6, 195 (1972).

    Google Scholar 

  19. A general introductory reference for this chapter is A.L. LEHNINGER: Bioenergetics: The Molecular Basis of Biological Energy Transformations, 2nd Ed. (Benjamin, Menlo Park, Cal., 1971).

    Google Scholar 

  20. For an excellent discussion and a complete bibliography up to 1970, see B. HESS and A. BOITEUX: Ann. Rev. Biochem. 40, 237 (1971).

    Article  PubMed  Google Scholar 

  21. L. N. M. DUYSENS AND J. AMESZ: Biochim. Biophys. Acta 24, 19 (1957).

    Article  PubMed  Google Scholar 

  22. A. GHOSH AND B. CHANCE: Biochem. Biophys. Res. Comm. 16, 174 (1964)

    Article  PubMed  Google Scholar 

  23. B. CHANCE, R. W. EASTABROOK, AND A. GHOSH: Proc. Nat. Acad. Sci. (USA) 51, 1244 (1964).

    Google Scholar 

  24. B. CHANCE, B. HESS, AND A. BETZ: Biochem. Biophys. Res. Comm. 16, 182 (1964); K. PYE and B. CHANCE: Proc. Nat. Acad. Sci. (USA) 55, 888 (1966).

    Article  PubMed  Google Scholar 

  25. K. H. IBSEN AND K. W. SCHILLER: Biochim. Biophys. Acta 131, 405 (1967).

    PubMed  Google Scholar 

  26. R. FRENKEL: Biochem. Biophys. Res. Comm. 21, 497 (1965).

    Article  PubMed  Google Scholar 

  27. A. BOITEUX AND B. HESS: F.E.B.S. Meet. 4th, Oslo Abstr. #398 (1967).

    Google Scholar 

  28. B. HESS AND A. BOITEUX: in Regulatory Functions of Biological Membranes, J. Jarnefelt, Ed. (Elsevier, New York, 1967).

    Google Scholar 

  29. B. HESS, A. BOITEUX, AND J. KRUGER: Advan. Enzyme Regul. 7, 149 (1969); B. CHANCE, B. HESS, J. HIGGINS, and K. PYE: Biochemical Oscillations (Academic Press, New York, in press).

    Article  Google Scholar 

  30. E. E. SEL'KOV: Europ. J. Biochem. 4, 79 (1968).

    Article  PubMed  Google Scholar 

  31. E. E. SEL'KOV: Molec. Biol. (USSR) 2, 252 (1968); V.A. SAMOILENKO, E. E. SEL'KOV, and V. C. SAVCHUK: in Oscillatory Processes in Biological and Chemical Systems Vol. II (Nauka, Puschino on Oka, 1967), p. 54.

    Google Scholar 

  32. J. HIGGINS: Proc. Nat. Agad. Sci. (USA) 51, 989 (1964).

    Google Scholar 

  33. For details see Ref. [29] and Ref. 6–9, 24–30 therein.

    Google Scholar 

  34. A. GOLDBETER AND R. LEFEVER: Biophys. J. 12, 1302 (1972); Proc. 8th F.E.B.S. Meeting (Amsterdam, 1972).

    PubMed  Google Scholar 

  35. Experimental studies indicate that phosphofructokinase is a tetramer. Qualitatively, however, one expects that the behavior of the PFK scheme is adequately approximated by the dimer model considered in this section.

    Google Scholar 

  36. J. MONOD, J. WYMAN, AND J.-P. CHANGEUX: J. Mol. Biol. 12, 88 (1965).

    PubMed  Google Scholar 

  37. A. GOLDBETER: Proc. Nat. Acad. Sci. (USA) (in press, 1973).

    Google Scholar 

  38. B. HESS: Private communication to G. Nicolis.

    Google Scholar 

  39. C. F. WALTER: J. Theor. Biol. 27, 259 (1970).

    Article  PubMed  Google Scholar 

  40. B. C. GOODWIN.: Temporal Organization in Cells (Academic Press, New York, 1963).

    Google Scholar 

  41. J. COWAN: in Neural Networks, E. R. Caianiello, Ed. (Springer-Verlag, Berlin, 1968).

    Google Scholar 

  42. Useful introductory material for this chapter appears in a volume of readings from Scientific American: The Molecular Basis of Life, R. H. Haynes and P. C. Hanawalt, edEds. (W. H. Freeman, San Francisco, 1968). See especially chapters 20 [F. H. C. Crick: Sci. Am. (Oct., 1962)], 21 [M. W. Nirenberg: Sci. Am. (Mar., 1963)], 22 [F. H. C. Crick: Sci. Am. (Oct., 1966)], and 25 [J.-P. Changeux: Sci. Am. (Apr., 1965)].

    Google Scholar 

  43. J. D. WATSON AND F. H. C. CRICK: Nature 171, 737 and 964 (1953).

    Google Scholar 

  44. F. JACOB AND J. MONOD: J. Mol. Biol. 3, 318 (1961).

    PubMed  Google Scholar 

  45. A. BABLOYANTZ AND G. NICOLIS: J. Theor. Biol. 34, 185 (1972).

    Article  PubMed  Google Scholar 

  46. C. BURSTEIN, M. COHN, A. KEPES, AND J. MONOD: Biochim. Biophys. Acta 95, 634 (1965).

    PubMed  Google Scholar 

  47. A. NOVICK AND M. WEINER: in Symposium. on Molecular Biology (Univ. of Chicago Press, 1959), p. 78.

    Google Scholar 

  48. F. JACOB AND J. MONOD: Cold Spring Harb. Symp. Quant. Biol. 26, 193 (1961).

    Google Scholar 

  49. A. BABLOYANTZ AND M. SANGLIER: F.E.B.S. Letters 23, 364 (1972).

    Article  Google Scholar 

  50. A simple example in which the initial regime may be reestablished continuously after a discontinuous transition is discussed by the author in Refs. [13] and [15] (See also Sec. III-C).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

J. Ehlers J. Ford C. George R. Miller E. Montroll W. C. Schieve J. S. Turner

Rights and permissions

Reprints and permissions

Copyright information

© 1974 Springer-Verlag

About this chapter

Cite this chapter

Turner, J.S. (1974). Nonequilibrium thermodynamics, dissipative structures, and biological order. In: Ehlers, J., et al. Lectures in Statistical Physics. Lecture Notes in Physics, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008858

Download citation

  • DOI: https://doi.org/10.1007/BFb0008858

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06711-5

  • Online ISBN: 978-3-540-38006-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics