Semi-classical statistical description of Fröhlich condensation
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Fröhlich’s model equations describing phonon condensation in open systems of biological relevance are reinvestigated within a semi-classical statistical framework. The main assumptions needed to deduce Fröhlich’s rate equations are identified and it is shown how they lead us to write an appropriate form for the corresponding master equation. It is shown how solutions of the master equation can be numerically computed and can highlight typical features of the condensation effect. Our approach provides much more information compared to the existing ones as it allows to investigate the time evolution of the probability density function instead of following single averaged quantities. The current work is also motivated, on the one hand, by recent experimental evidences of long-lived excited modes in the protein structure of hen-egg white lysozyme, which were reported as a consequence of the condensation effect, and, on the other hand, by a growing interest in investigating long-range effects of electromagnetic origin and their influence on the dynamics of biochemical reactions.
KeywordsFröhlich condensation Low-frequency modes of proteins Far-from-equilibrium systems
- 8.Tuszynski, J.A., Bolterauer, H., Sataric, M.V.: Self-organization in biological membranes and the relationship between Fröhlich and Davydov theories. Nanobiol 1, 177–190 (2012)Google Scholar
- 19.Lundholm, I.V., Rodilla, H., Wahlgren, W.Y., Duelli, A., Bourenkov, G., Vukusic, J., Friedman, R., Stake, J., Schneider, T., Katona, G.: Terahertz radiation induces non-thermal structural changes associated with Frhlich condensation in a protein crystal. Struct. Dyn. 2, 054702 (2015)CrossRefGoogle Scholar
- 23.Weightman, P.: Investigation of the Fröhlich hypothesis with high intensity terahertz radiation. In: Proc. SPIE 8941, Optical Interactions with Tissue and Cells XXV; and Terahertz for Biomedical Applications, 89411F (March 13, 2014). doi:10.1117/12.2057397 (2014)
- 31.Louisell, W.H.: Quantum Statistical Properties of Radiation. pp. 104-109 and pp. 238-246. Wiley, New-York (1973)Google Scholar