Davydov’s Soliton and Fröhlich’s Condensation: Is There a Connection?
In this paper we present the physicist’s view of a biological cell as envisaged by Fröhlich, from the point of view of membrane organization, and by Davydov, from the energy and particle transport viewpoint. An investigation into the possible interrelationships between these two approaches is given which involves formal similarities and functional dependences. In the former case effective Hamiltonians for the two models are derived and demonstrated to lead to the creation of coherent structures. In the latter case, nonequilibrium considerations result in a scenario where the two phenomena may be mutually functionally dependent. It is also outlined how Fröhlich’s dipolar mode coherence could be seen as a Davydov soliton in momentum space.
KeywordsHead Group Peptide Chain Schrodinger Equation Bose Condensation Coagulation Rate
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- 4.F. Fröhlich, IEEE Trans., MIT 26:613 (1978).Google Scholar
- 10.S.N. Pnevmatikos, Solitons in nonlinear atomic chains, in: “Singularities and Dynamical Systems,” S.N. Pnevmatikos, ed., Elsevier Science, Amsterdam (1985).Google Scholar
- 13.J.A. Tuszyński, R. Paul, R. Chatterjee and S.R. Sreenivasan, 30:2666 (1984).Google Scholar
- 15.J.A. Tuszyński and J.M. Dixon (1989), submitted to Phys. Lett. A. Google Scholar
- 17.H. Bolterauer and J.A. Tuszyński (1989), submitted to J. Biol. Phys. Google Scholar
- 18.E. Del Giudice, S. Doglia, M. Milani and G. Vitiello, Nucl. Phys. B251:375 (1985).Google Scholar
- 21.J.A. Tuszyński, J. Biol. Phys. (1989), in press.Google Scholar