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Biological order, structure and instabilities1

Published online by Cambridge University Press:  17 March 2009

I. Prigogine  and
G. Nicolis
G. Nicolis
Affiliation:
Université Libre de Bruxelles, Brussels, Belgium, and Center for Statistical Mechanics and Thermodynamics, The University of Texas at Austin, Austin, Texas, U.S.A.
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Abstract

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Type
Review Article
Information
Quarterly Reviews of Biophysics , Volume 4 , Issue 2-3 , August 1971 , pp. 107 - 148
Copyright
Copyright © Cambridge University Press 1971

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References

Babloyantz, A. & Nicolis, G. (1971). Chemical instabilities and multiple steady-state transitions in Jacob-Monod-type models, J. theor. Biol. (in the Press).Google Scholar
Betz, A. & Chance, B. (1965). Phase relationship of glycolytic intermediates in yeast cells with oscillatory metabolic control Archs Biochem. Biophys. 109 585–591.CrossRefGoogle ScholarPubMed
Blumenthal, R., Changeux, J. P. & Lefever, R. (1970). Membrane excitability and dissipative instabilities. J. Membrane Biol. 2, 351–374.CrossRefGoogle ScholarPubMed
Busse, H. (1969). A spatial periodic homogeneous chemical reaction J. phys. Chem., Ithaca. 73, 750.CrossRefGoogle Scholar
Casimir, H. B. G. (1945). On Onsager's principle of microscopic reversibility Rev. mod. Phys. 17, 343.CrossRefGoogle Scholar
Cherniavskii, D., Grigorov, L. & Polyakova, M. (1967). In Oscillatory Processes in Biological and Chemical Systems. Moscow: Nauka.Google Scholar
Cohen, M. (1969). In Some Mathematical Questions in Biology. 136th Meeting AAAS, Boston.Google Scholar
De Groot, S. R. & Mazur, P. (1962). Non-equilibrium Thermodynamics. Amsterdam: North Holland Publ. Co.Google Scholar
Eigen, M. (1971). Self organization of matter and the evolution of biological macromolecules. Naturwissenschaften (in the Press).CrossRefGoogle Scholar
Elsasser, W. M. (1958). The Physical Foundation of Biology. Oxford: Pergamon Press.Google Scholar
Glansdorff, P. & Prigogine, I. (1971). Thermodynamic Theory of Structure, Stability and Fluctuations. New York: Wiley-Interscience.Google Scholar
Goldbeter, A. & Lefever, R. (1971). Dissipative structures for an allosteric model. Application to glycolytic oscillations. Biophys. J. (in the Press).Google Scholar
Goldbeter, A., Babloyantz, A. & Nicolis, G. (1971). (In preparation.)Google Scholar
Grene, M. ed. (1969). The Anatomy of Knowledge. London: Routledge and Kegan Paul.Google Scholar
Griffith, J. S. (1968). Mathematics of cellular control processes I and II J. theor. Biol. 20, 202–216.CrossRefGoogle Scholar
Haggerty, M. J. (1970). Non-Markoffian kinetic theory and hierarchical cosmologies Physica, 's Grav. 50, 391–396.Google Scholar
Herschkowitz-Kaufman, M. (1970). Structures dissipatives dans une réaction chimique homogène C. r. hebd. Séanc. Acad. Sci., Paris, 270C, 1049–1052.Google Scholar
Herschkowitz-Kaufman, M. & Nicolis, G. (1971a). Localized spatial structures and non-linear chemical waves in dissipative sytems. J. chem. Phys. (in the Press).Google Scholar
Herschkowitz-Kaufman, M. & Nicolis, G. (1971b). (In preparation.)Google Scholar
Herschkowitz-Kaufman, M. & Platten, J. K. (1971). Chemical instabilities and localized structures in non-homogeneous media Bull. Acad. r. Belg. (Cl. Sci.) 57, 26–40.Google Scholar
Hess, B. (1962). In Funktionelle und morphologische Organisation der Zelle. Berlin: Springer-Verlag.Google Scholar
Higgins, J. (1964). A chemical mechanism for oscillation of glycolytic intermediates in yeast cells Proc. natn. Acad. Sci. U.S.A. 51, 989–994.CrossRefGoogle ScholarPubMed
Jacob, F. (1970). La logique du vivant. Paris: Gallimard.Google Scholar
Keller, E. F. & Segel, L. A. (1970). Initiation of slime mold aggregation viewed as an instability J. theor. Biol. 26, 399–415.CrossRefGoogle ScholarPubMed
Koestler, A. & Smythies, J. R. ed. (1969). Beyond Reductionism. London: Hutchinson.Google Scholar
Lavenda, B., Nicolis, G. & Herschkowitz-Kaufman, M. (1971). Chemical instabilities and relaxation oscillations. J. theor. Biol. (in the Press).CrossRefGoogle Scholar
Lax, M. (1960). Fluctuations from the non-equilibrium steady state Rev. mod. Phys. 32, 25–64.CrossRefGoogle Scholar
Lefever, R. (1968a). Dissipative structures in chemical systems J. chem. Phys. 49, 4977–4978.CrossRefGoogle Scholar
Lefever, R. (1968b). Stabilité des structures dissipatives Bull. Acad. r. Belg. (Cl. Sci.) 54, 712–719.Google Scholar
Lefever, R. & Nicolis, G. (1971). Chemical instabilities and sustained oscillations J. theor. Biol. 30, 267–284.CrossRefGoogle ScholarPubMed
Lwoff, A. (1962). Biological Order. Cambridge, Mass.: M.I.T. Press.CrossRefGoogle Scholar
Minorski, N. (1962). Non-linear Oscillations. Princeton: Van Nostrand.Google Scholar
Monod, J. (1970). Le Hasard et la nécessité. Paris: Seuil.Google Scholar
Monod, J. & Jacob, F. (1961). Teleonomic mechanisms in cellular metabolism, growth and differentiation Cold Spring Harb. Symp. on quant. Biol. 26, 389–401.CrossRefGoogle ScholarPubMed
Morales, M. & McKay, D. (1967). Biochemical oscillations in controlled systems Biophys. J. 7, 621–625.CrossRefGoogle ScholarPubMed
Narasimha, R., Nicolis, G. & Herschkowitz-Kaufman, M. (1971). (In preparation.)Google Scholar
Nicolis, G. & Babloyantz, A. (1969). Fluctuations in open systems J. chem. Phys. 51, 2632–2637.CrossRefGoogle Scholar
Nicolis, G. (1971). Stability and dissipative structures in open systems far from equilibrium Adv. chem. Phys. 19, 209–324.CrossRefGoogle Scholar
Nicolis, G. & Prigogine, I. (1971). Fluctuations in non-equilibrium systems. Proc. natn. Acad. Sci. U.S.A. (in the Press).Google Scholar
Onsager, L. (1931). Reciprocal relations in irreversible processes, I and II Phys. Rev. 37, 405–426: 38, 2265–2279.CrossRefGoogle Scholar
Prigogine, I. (1947). Etude thermodynamique des processus irreversibles. Liége: Desoer.Google Scholar
Prigogine, I. (1967a). Introduction to Thermodynamics of Irreversible Processes, 3rd ed.New York: Wiley-Interscience.Google Scholar
Prigogine, I. (1967b). Temps, structure et entropie. Bull. Acad. r. Belg. (Cl. Sci.) 53, 273–287.Google Scholar
Prigogine, I. (1969). Structure, dissipation and life. In Theoretical Physics and Biology, ed. Marois, M.. Amsterdam: North Holland Publ. Co.Google Scholar
Prigogine, I., Lefever, R., Goldbeter, A. & Herschkowitz-Kaufman, M. (1969). Symmetry-breaking instabilities in biological systems Nature, Lond. 223, 913–916.CrossRefGoogle ScholarPubMed
Sel'Kov, E. E. (1968a). Self-oscillations in glycosis Eur. J. Biochem. 4, 79–86.CrossRefGoogle Scholar
Sel'Kov, E. E. (1968b). Self-oscillations in glycosis. Simple single frequency model Mol. Biol. 2, 252–266.Google Scholar
Spangler, R. A. & Snell, F. M. (1961). Sustained oscillations in a catalytic chemical system Nature, Lond. 191, 457–458.CrossRefGoogle Scholar
Spangler, R. A. & Snell, F. M. (1967). Transfer function analysis of an oscillatory model chemical system J. theor. Biol. 16, 381–405.CrossRefGoogle ScholarPubMed
Thom, R. (1971). Stabilité structurelle et la morphogénèse. New York: Benjamin Publ. (in the Press).Google Scholar
Turing, A. M. (1952). The chemical basis of morphogenesis Phil. Trans. Roy. Soc. Lond. B 237, 37–72.Google Scholar
Vavilin, V. A., Zhabotinski, A. M. & Zaikin, A. N. (1968). Effect of ultraviolet radiation on the oscillating oxidation reaction of malonic acid derivatives Russ.J.phys. Chem. 42, 1649–1651.Google Scholar
Walter, C. (1969). The absolute stability of certain types of controlled biological systems J. theor. Biol. 25, 39–52.CrossRefGoogle Scholar
Weiss, P. (1968). Dynamics of development: Experiments and Inferences. New York: Academic Press.Google Scholar
Whyte, L. L., Wilson, A. G. & Wilson, D. (ed.) (1969). Hierarchical Structures. New York: American Elsevier Publ. Co.Google Scholar
Wolpert, L. (1968). In Towards a Theoretical Biology, ed. Waddington, C.. Edinburgh University Press.Google Scholar
Zaikin, A. N. & Zhabotinski, A. M. (1970). Concentration wave propagation in two-dimensional liquid-phase self-oscillating systems Nature, Lond. 225, 535–537.CrossRefGoogle Scholar
Zhabotinski, A. M. (1964). Periodic course of oxidation of malonic acid in solution Biophysics 9, 306–311.Google Scholar