Abstract
We studied the process of proton transfer from oxygen of serine 195 to nitrogen of the imidazole ring of histidine 57 that takes place in the active site of the enzyme α-chymotrypsin (CT). We studied the dynamics of the proton in a non-stationary potential of the active site of CT with regard to the fluctuations determined by the oscillations of the clusters. In addition to tunneling in the nonstationary potential we observed an incoherent dynamic irreversible process of the over-barrier transfer, that is caused by the noise action. The fluctuations of the potential field of the active site were described by either white or colored noise. Probability and energy parameters were obtained for both cases. We studied the influence of the amplitude and frequency of the colored noise and the asymmetry of the potential wells of the non-stationary two-minimum potential on the proton dynamics. It was demonstrated that over-barrier proton transfer plays the most important role.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Anishchenko V.S., Vadivasova T.E., Astakhov V.V., Nonlinear dynamics of chaotic and stochastic systems, Izd. Saratovskogo Universiteta, Saratov, 1999 (In Russian).
Anishchenko V.S., Neiman A.B., Moss F., Schimansky-Geier L., v. 42, No 1, 7 (1999).
Birctoft J.J., Blow D.M., J. Mol. Biol., 68, 187 (1972).
Burstein A.I., PSB, 5, 1243 (1963) (in Russian).
Chernavsky D.S., Chernavskaya N.M., Protein-machine. Biological macromolec-ular constructions, Moscow: Moscow Univer., 1999 (in Russian).
Chikishev A. Yu., Netrebko N.V., Romanovsky Yu.M., Ebeling W., Schimansky-Geier L., Netrebko A., Inter. J. of Bifurcation and Chaos, v. 8, No 5, pp. 921–926 (1998).
Davydov A., Solitons in molecular systems. D. Reidel Publishing Company, Dordrecht, 1985; Ebeling W. & Schimansky-Geier L., In: Noise in Nonlinear Dynamical Systems, (F. Moss, P.E.V. McClintock, eds.), Cambridge, Cambridge University Press, 1989.
Elyutin P.V., Rogovenko A.N., quant-ph/9912026 (1999).
Fermi E., Zs. f. Phys., 71, 250 (1931).
Fersht A., Enzyme structure and mechanism. Freeman, Reading, San Francisco, 1977.
Fine V.M., Photons and nonlinear media, v. 1, Quantum radiophysics, Moscow, 1972 (in Russian).
Grossmann F., Dittrich T., Jung P., Hänggi P., Phys. Rev. Let. 67, 516–519 (1991).
Havsteen B., J. Theor. Biol,140,101 (1989); J. Theor. Biol, 151, 557 (1991).
Hesse J.J., Schimansky-Geier J., Z. Phys. B, 84, 467–470 (1991).
Kagan Yu., Phys. Chem. 95 (3), 411 (1991).
Kosloff R., J. Phys. Chem., 92, 2087 (1988).
Lax M., Fluctuations and Coherence Phenomena in Classical and Quantum Physics, (New York: Gordon & Breach), 1968.
Manevich L., Mikhlin Yu., Pilipchuk V., Normal Vibrations Technique for Non linear Systems. Moscow, Nauka, 1989 (In Russian).
McDonald K.M., Thorson W.R., Choi J.H., J. Chem. Phys. 99, 4611 (1993).
Netrebko A., Netrebko N., Romanovsky Yu., Khurgin Yu., Shidlovskaya E., 2, 26–43 (1994) (In Russian).
Nylund E., Lindenberg K., Trisons G., J. Stat. Phys., 70, 163–173 (1993).
Quinn D.M., Chem. Rev., V.87, 955–979 (1987).
Reimann P., Hänggi P., Stochastic Dynamics, Springer, pp. 127–139, Eds. Schimansky-Geier L., Pöschel T., 1997.
Romanovsky Yu.M., Netrebko A.V., Applied nonlinear dynamics, v.6, No. 4, pp. 31–44 (1998).
Romanovsky Yu.M., In: Stochastic Dynamics, Schimansky-Geier L., Pöschel T., Eds., Ser. Lecture Notes on Physics, Springer Verlag, Berlin, 1–13 (1997).
Romanovsky Yu.M., Tikhomirova N.K., Khurgin Yu.L, Biophysika, v. 24, 442 (1979) (In Russian).
Romanovsky Yu.M., Khurgin Yu.L, Chikishev A.Yu., I. Mol. Catalysis, v.47, 235–240 (1988).
Romanovsky Yu.M., Netrebko A.V., Netrebko, N.V., Kroo S.V., Chikishev A.Yu., Sakodynskaya I.G., Molodozhenya V., In: Proc.SPIE, v. 3599, Optical Diagnostics of Biological Fluids IV, Eds.: Priezzhev A.V., Asakura Toshimitzu, pp. 167–179 (1999).
Rubin A.B., Biophysika, High School, 1987 (In Russian).
Schimansky-Geier L., Zülicke Ch., Z. Phys. B, 79, 451–458 (1990).
Shidlovskaya E., Schimansky-Geier L., Romanovsky Yu.M., Z. Phys. Chem. Leipzig, Bd. 214. H.1, p. 65–82 (2000).
Zundel G., Proton polarizability of hydrogen bonds and proton transfer processes, their role in electrochemistry and biology, München: Univers. München, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Grishanin, B.A., Romanovskii, Y.M., Chikishev, A., Shuvalova, E.V. (2000). Quantum Mechanical Model of Proton Transfer in a Fluctuating Potential Field of the Active Site of α-Chymotrypsin. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_31
Download citation
DOI: https://doi.org/10.1007/3-540-45396-2_31
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41074-4
Online ISBN: 978-3-540-45396-3
eBook Packages: Springer Book Archive