Skip to main content

New Birth to Runaway Solitons

  • Chapter
Frontiers in Biomechanics
  • 446 Accesses

Abstract

A new frontier in biology and biomechanics is emerging. Its scope appears much broader than has been covered to date in the discipline, since the new viewpoint stresses first the molecular level as the basis for studies of biological phenomena involving cells and organisms. In this new field, enthusiastic workers from interrelated disciplines believe that, to improve our understanding of essential properties of living matter and to boost our ability to make valuable applications, the objective is perhaps best achieved, by investigating the basic biological processes involving DNA, enzymes, and other participating molecules in vivo. It has been contended that, although the classic model of the DNA helix by James D. Watson and Francis Crick has been indeed invaluable, the structural models can only tell part of the story because they have been presented without life in them. The real DNA is rich in movement. It bends, vibrates, and resonates, and with such movements it goes on transporting and distributing biochemical energy that is needed for perpetuating life. To provide a concrete case germinated from the seed ideas conceived in “molecular biomechanics,” the school of thought led by Davydov (1971, 1979) is recapitulated here, in Section 3, with the main result elucidating the significant role that can be played by solitary waves in bioenergetics.

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

Access this chapter

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

  • Adey, W.R., ed. 1983. Nonlinear, nonequilibrium aspects of electromagnetic field interactions at cell membranes. Proc. Intern. Conf. on Nonlinear Electrodynamics in Biological Systems. Held at Loma Linda, California, 6–9 June 1983. Plenum Press, New York.

    Google Scholar 

  • Boussinesq, M.J. 1871. Acad. Sci. Paris, Comptes Rendus 73: 256–60.

    Google Scholar 

  • Boussinesq, M.J. 1872. J. Math. Pures Appl. 17(2): 55–108. Boussinesq, M.J. 1877. Mém. présentés par divers Savants à L’Acad. Sci. Inst. France 23:1–680; 24:1–64

    Google Scholar 

  • Bullough, R.K., and Caudrey, P.J. eds. 1980. Topics Curr. Phys. 17. Springer Verlag, Berlin.

    Google Scholar 

  • Davydov, A.S. 1971. Theory of molecular excitons. Plenum Press, New York.

    Google Scholar 

  • Boussinesq, M.J. 1979. Physica Scripta 20: 387–394.

    Article  MathSciNet  Google Scholar 

  • Davydov, A.S., and Kislukha, N.I. 1976. Zh. Eksp. Teor. Fiz. 71:2090; Sov. Phys. JETP 44: 571.

    Google Scholar 

  • Dodd, R.K., Eilbeck, J.C., Gibbon, J.D., and Morris, H.C. 1982. Solitons and non-linear wave equations, Academic Press, New York.

    Google Scholar 

  • Ertekin, R.C. 1984. Soliton generation by moving disturbances in shallow water: theory, computation and experiment. Ph.D. dissertation, University of California, Berkeley.

    Google Scholar 

  • Green, D.E. 1973. Science 181: 583.

    Article  ADS  Google Scholar 

  • Huang, De-Bo, Sibul, O.J., and Wehausen, J.V. 1982a. Ships in very shallow water. Festkolloquium-Dedication to Professor Karl Wieghardt. March 1982, Institut für Schiffbau der Universität Hamburg.

    Google Scholar 

  • Huang, De-Bo, Sibul, O.J., Webster, W.C., Wehausen, J.V., Wu, De-Ming, and Wu, T.Y. 1982b. Proc. Conf. on Behavior of Ships in Restricted Waters, vol. 2, 26.1–26.12. Held at Varna, Bulgaria, 11–13 Nov. 1982.

    Google Scholar 

  • Hyman, J.M., McLaughlin, D.W., and Scott, A.C. 1981. Physica D 30: 23.

    Article  ADS  Google Scholar 

  • Korteweg, D.J., and deVries, G. 1895. Phil. Mag. 39: 422–443.

    Google Scholar 

  • Lax, P.D. 1968. Comm. Pure Appl. Math. 21, 467–490.

    Article  MathSciNet  MATH  Google Scholar 

  • Lee, S.J. 1985. Generation of long waterwaves by moving disturbances. Ph.D. Thesis. California Institute of Technology, Pasadena.

    Google Scholar 

  • Miles, J.W. 1980. Ann. Rev. Fluid Mech 12:11–43, Annual Reviews Inc., Palo Alto, California.

    Article  ADS  Google Scholar 

  • Miura, R.M., Gardner, C.S., and Kruskal, M.D. 1968. J. Math. Phys. 9, 1204–1209.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Rayleigh, Lord. 1876. Phil. Mag. 1:257–279. Sci. Pap. 1: 251–271.

    Google Scholar 

  • Russell, J.S. 1838. Report of the Committee on Waves. Pages 417–496 in Rep. Meet. Brit. Assoc. Adv. Sei. 7th, Liverpool, 1837. John Murray, London.

    Google Scholar 

  • Russell, J.S. 1845. Pages 311–390 in Rep. Meet. Brit. Assoc. Adv. Sci. 14th, York, 1844. John Murray, London.

    Google Scholar 

  • Scott, A.C. 1981. Phys. Letters 86A: 60

    Article  ADS  Google Scholar 

  • Scott, A.C. 1977. Neurophysics. John Wiley & Sons, New York.

    Google Scholar 

  • Scott, A.C., Chu, F.Y.F., and McLaughlin, D.W. 1973. Proc. IEEE 61: 1443–1483.

    Article  MathSciNet  ADS  Google Scholar 

  • Scott, A.C., and Luzader, S.D. 1979. Physica Scripta 20: 395–401.

    Article  ADS  Google Scholar 

  • Whitham, G.B. 1974. Linear and nonlinear waves. John Wiley & Sons, New York.

    MATH  Google Scholar 

  • Wu, T.Y. 1980. Pages 110–149 in TsunamisProc. National Science Foundation Workshop, L.S. Hwang and Y.K. Lee, eds. Tetra Tech, Inc., Pasadena, California.

    Google Scholar 

  • Wu, T.Y. 1981. Proc. ASCE, J. Eng. Mech. Div. 107:EM3, 501–522.

    Google Scholar 

  • Wu, De-Ming, and Wu, T.Y. 1982. Pages 103–125 in Proc. 14th Sympos. on Naval Hydrodynamics. Held at University of Michigan, Ann Arbor, 23–27 August 1982. National Academy Press, Washington, D.C.

    Google Scholar 

  • Zabusky, N.J., and Kruskal, M.D. 1965. Phys. Rev. Lett. 15: 240–243.

    Article  ADS  MATH  Google Scholar 

  • Zakharov, V.B., and Faddeev, L.D. 1972. Funct. Anal. Appl. 5: 280–287.

    Article  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag New York Inc.

About this chapter

Cite this chapter

Wu, T.Y. (1986). New Birth to Runaway Solitons. In: Schmid-Schönbein, G.W., Woo, S.LY., Zweifach, B.W. (eds) Frontiers in Biomechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4866-8_2

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-4866-8_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9337-8

  • Online ISBN: 978-1-4612-4866-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics