Skip to main content
SpringerLink
Log in

Strange Stability in Hierarchically Coupled Neuropsychobiological Systems

  • Conference paper
Evolution of Order and Chaos

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 17))

Abstract

A major theoretical issue of concern to neuropsychobiologists today involves a meaningful integration of data and models from the spatially, temporally, and conceptually disjoint subdisciplines of brain research. Catalytic and binding events in neurotransmitter enzymes and receptors occurring over angstroms in nanoseconds and mood cycles involving brain hemispheric asymmetries over decimeters in months span electromagnetic events of a similar range of scales in time and space, yet find harmonious integration in quasi-stable patterns of observable behavior. The macroscopic phenomena have been explained in the context of deterministic elementary processes and from the perspective of a single level of experimental observation. The pursuit of the field mechanisms underlying the brain’s cross-scale vertical integration requires more abstract metrics with the potential for generalization across disciplinary boundaries. During the two recent decades of radical reductionism in brain research, neurobiologists have treated as experimentally undefinable such global descriptive concepts from the 1950s as attention [1], limbic system emotionality [2], and brain function as a reflex arc through a dynamically configured network of delays [3].

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H.W. Magoun: The Waking Brain (C.C. Thomas, Springfield 1972 )

    Google Scholar 

  2. P.D. MacLean: Psychosom. Med. 338 (1949)

    Google Scholar 

  3. J.C. Eccles: The Neurophysiological Basis of Mind (Oxford, London 1953 )

    Google Scholar 

  4. R. Thorn: Structural Stability and Morphogenesis ( Benjamin, Reading 1975 )

    Google Scholar 

  5. G.D. Birkhoff: Acta Math. 50, 359 (1927)

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Smale: Bull. Am. Math. Soc. 73, 747 (1967)

    Article  MathSciNet  MATH  Google Scholar 

  7. S.S. Kety: Am. J. Med. 8, 205 (1950)

    Article  Google Scholar 

  8. W. Bunney, L. Sokoloff, D. Kuhl, M. Buchsbaum, T. Chase, S. Rapoport, A.J. Rush, T. Farkas: Proc. Am. Coll. Neuropsychopharmacol. (1981)

    Google Scholar 

  9. R. Abraham, J.E. Marsden: Foundations of Mechanics ( Benjamin-Cummings, Reading 1978 )

    MATH  Google Scholar 

  10. E.N. Lorenz: Tellus 16, 1 (1964)

    Article  Google Scholar 

  11. D. Ruelle, F. Takens: Commun. Math. Phys. 20, 167; 23, 343 (1971)

    Article  MathSciNet  Google Scholar 

  12. N. Minorsky: Nonlinear Oscillations ( Van Nostrand, Princeton 1962 )

    MATH  Google Scholar 

  13. N.G. van Kampen: in Perspectives in Statistical Physics, H.J. Raveche, ed. North-Holland, New York 1981 ) p. 89

    Google Scholar 

  14. V.L. Oseledec: Trans. Moscow Math. Soc. 19, 197 (1968)

    Google Scholar 

  15. R. Shaw: Z. Naturforsch. 36a, 80 (1981)

    MathSciNet  MATH  Google Scholar 

  16. B.B. Mandelbrot: Fractals: Form, Chance, and Dimension (W.H. Freeman, San Francisco 1977 )

    Google Scholar 

  17. H. Mori: Prog. Theor. Phys. 63, 1044 (1980)

    Article  MATH  Google Scholar 

  18. J. Kaplan, J. Yorke: Springer Lect. Notes Math. 730, 204 (1979)

    Article  MathSciNet  Google Scholar 

  19. A.N. Kolmogorov: in Foundations of Mechanics, R. Abraham, J.E. Marsden, eds. Benjamin, New York 1967 ) p. 263

    Google Scholar 

  20. D. Farmer, J. Crutchfield, H. Froehling, N. Packard, R. Shaw: Ann. N.Y. Acad. Sci. 357, 453 (1980)

    Article  Google Scholar 

  21. J. Guckenheimer: Prog. Math. 8, 115 (1980)

    MathSciNet  Google Scholar 

  22. J. Gruzelier, P. Flor-Henry, eds: Hemisphere Asymmetries of Function in Psychopatholoqy ( Elsevier-North-Holland, New York 1979 )

    Google Scholar 

  23. M.W. Hirsch, S. Smale: Differential Equations, Dynamical Systems, and Linear Algebra ( Academic Press, New York, 1974 )

    MATH  Google Scholar 

  24. G.D. Birkhoff: Science 51, 51 (1920)

    Article  Google Scholar 

  25. H. Froehling, J.P. Crutchfield, D. Farmer, N.H. Packard, R. Shaw: Physica 3D, 605 (1981)

    MathSciNet  MATH  Google Scholar 

  26. E.N. Lorenz: Ann. N.Y. Acad. Sci. 357, 282 (1980)

    Article  Google Scholar 

  27. P. Collet, J-P. Eckmann: Iterated Maps on the Interval as Dynamical Systems ( Birkhäuser, Basel 1980 )

    MATH  Google Scholar 

  28. J.P. Crutchfield, B.S. Huberman: Phys. Lett. 77A, 407 (1980)

    Article  MathSciNet  Google Scholar 

  29. H.L. Swinney, J.P. Gollub, eds.: Hydrodynamic Instabilities and the Transition to Turbulence ( Springer-Verlag, New York 1981 )

    MATH  Google Scholar 

  30. H. Tennekes, J.L. Lumley: A First Course in Turbulence ( MIT Press, Cambridge 1972 )

    Google Scholar 

  31. J.E. Marsden: Springer Lect. Notes Math. 615, 1 (1977)

    Article  MathSciNet  Google Scholar 

  32. S. Knapp, A.J. Mandell: Life Sci. 18, 679 (1976)

    Article  Google Scholar 

  33. T.A. Wehr, A. Wirz-Justice: Pharmacopsychiatry 15, 30 (1982)

    Article  Google Scholar 

  34. A.J. Mandell: Ann. Rev. Pharmacol. Toxicol. 18, 461 (1978)

    Article  Google Scholar 

  35. A.J. Mandell, P.V. Russo: J. Neurosci. 1, 380 (1981)

    Google Scholar 

  36. S. Knapp, A.J. Mandell, P.V. Russo, A. Vitto, K.D. Stewart: Brain Research 230, 317 (1981)

    Article  Google Scholar 

  37. A.J. Mandell, P.V. Russo: in Second Conference on Monoamine Enzymes, E. Usdin, N. Weiner, M. Youdim, eds. ( Macmillan, New York 1982 )

    Google Scholar 

  38. A.J. Mandell, P.V. Russo: J. Neurochem. 37, 1573 (1981)

    Article  Google Scholar 

  39. G. Careri, P. Fasella, E. Gratton: CRC Crit. Rev. Biochem. 3, 141 (1975)

    Article  Google Scholar 

  40. J.G. Kirkwood, J.B. Shumaker: Proc. Natl. Acad. Sci. USA 38, 863 (1952)

    Article  Google Scholar 

  41. W. Lovenberg, R. Levine, L. Miller: in Second Conference on Monoamine Enzymes, E. Usdin, N. Weiner, M. Youdim, eds. ( Macmillan, New York 1982 )

    Google Scholar 

  42. J. Tei pel, D.E. Koshland: Biochemistry 8, 4656 (1969)

    Article  Google Scholar 

  43. A.J. Mandell, K.D. Stewart, P.V. Russo: Fed. Proc. 40, 2693 (1981)

    Google Scholar 

  44. R.G. Bryant: in Second Biophysical Discussion (Rockefeller Univ. Press, New York 1980 )

    Google Scholar 

  45. C. Tanford: The Hydrophobic Effect: Formation of Micelles and Biological Membranes ( Wiley-Interscience, New York 1973 )

    Google Scholar 

  46. J.D. Bernal, R.H. Fowler: J. Chem. Phys. 1, 515 (1933)

    Article  Google Scholar 

  47. F. Franks: Characterization of Protein Conformation and Function ( Symposium Press, London 1978 )

    Google Scholar 

  48. F.R.N. Gurd, T.M. Rothgeb: Adv. Prot. Chem. 33, 73 (1979)

    Article  Google Scholar 

  49. B. Gavish: Biophys. Struct. Mech. 4, 37 (1978J

    Google Scholar 

  50. W.N. Lipscomb: Ann. N.Y. Acad. Sci. 367, 326 (1981)

    Article  Google Scholar 

  51. S. Edelfors: Acta Pharmacol. Toxicol. 40, 126 (1977)

    Article  Google Scholar 

  52. R.H. Stokes, R. Mills: Viscosity of Electrolytes and Related Properties (Pergamon, New York 1961)

    Google Scholar 

  53. B. Gavish: Phys. Rev. Lett. 44, 1160 (1980)

    Article  Google Scholar 

  54. D. Beece, L. Eisenstein, H. Frauenfelder, D. Good, M.C. Marden, L. Reinisch, A.H. Reynolds, L.B. Sorensen, K.T. Yue: Biochemistry 19, 5147 (1980)

    Article  Google Scholar 

  55. A.S. Monin, A.M. Yaglom: Statistical Fluid Mechanics ( MIT Press, Cambridge 1965 )

    Google Scholar 

  56. S. Knapp, A.J. Mandell: J. Neural Transmission 415, 1 (1979)

    Article  Google Scholar 

  57. A.J. Mandell, S. Knapp, C.L. Ehlers, P.V. Russo: in The Neurobiology of Mood Disorders, R.M. Post, J.C. Ballenger, eds. ( Williams and Wilkins, Baltimore 1982 )

    Google Scholar 

  58. T. Hokfelt, R. Eide, O. Johansson, A. Ljungdahl, M. Schultzberg, K. Fuxe, M. Goldstein, G. Nilsson, B. Pernow, L. Terenius, D. Ganten, S.L. Jeffcoate, J. Rehfeld, S. Said: in Psychopharmacology: A Generation of Progress, M.A. Lipton, A. DiMascio, K.F. Killam, eds. ( Raven Press, New York 1978 ) p. 39

    Google Scholar 

  59. P. Holmes: Phil. Trans. Roy. Soc. A292, 419 (1979)

    Article  MATH  Google Scholar 

  60. A.J. Chorin: Springer Lect. Notes Math. 615, 36 (1977)

    Article  MathSciNet  Google Scholar 

  61. S. Knapp, A.J. Mandell: Science 180, 645~TT973)

    Google Scholar 

  62. J.A. Yorke, E.D. Yorke: Topics Appl. Phys. 45, 77 (1981)

    MathSciNet  Google Scholar 

  63. O.E. Rössler: in Structural Stability in Physics, W. Guttinger, H. Eikemeier, ( Springer-Verlag, New York 1979 ) p. 290

    Google Scholar 

  64. J. Monod, J. Wyman, J-P. Changeux: J. Mol. Biol. 12, 88 (1965)

    Article  Google Scholar 

  65. S. Knapp, A.J. Mandell: Psychiatry Res., in press (1982)

    Google Scholar 

  66. A. Winfree: The Geometry of Biological Time ( Springer-Verlag, New York 1980 )

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Psychiatry, University of California, San Diego, La Jolla, CA, 92093, USA

    Arnold J. Mandell, Patrick V. Russo & Suzanne Knapp

Authors
  1. Arnold J. Mandell
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Patrick V. Russo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Suzanne Knapp
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, der Universität Stuttgart, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Hermann Haken

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mandell, A.J., Russo, P.V., Knapp, S. (1982). Strange Stability in Hierarchically Coupled Neuropsychobiological Systems. In: Haken, H. (eds) Evolution of Order and Chaos. Springer Series in Synergetics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-68808-9_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-68808-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-68810-2

  • Online ISBN: 978-3-642-68808-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation