Abstract
As a model of Brownian motor, we consider the motion of particles in an asymmetric, single-well, periodic potential undergoing half-period shifts driven by two Poisson processes. Probability currents and stopping force are explicitly obtained as a function of the model parameters, and use of the notion of driving effective potential is made to bridge the present model with our previous works involving washboard potentials.
Work performed under partial support by MIUR (PRIN 2003), by GNCS-INDAM and by Campania Region.
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References
Astumian, D.R., Bier, M.: Fluctuation Driven Ratchets: Molecular Motor. Phys. Rev. Lett. 72, 1766–1769 (1994)
Buonocore, A., Ricciardi, L.M.: Exploiting thermal noise for an efficient actomyosin sliding mechanism. Math. Biosci. 182, 135–149 (2003)
Buonocore, A., Caputo, L., Ishii, Y., Pirozzi, E., Yanagida, T., Ricciardi, L.M.: A Phenomenological model of Myosin II dynamics in the presence of external loads. BioSystems in press. Also in arXiv:q-bio, BM/0411025 v1 (2004)
Chauwin, J.F., Ajdari, A., Prost, J.: Force-Free Motion in Asymmetric Structures: a Mechanism without Diffusive Steps. Europhys. Lett. 27, 421–426 (1994)
Esaki, S., Ishii, Y., Yanagida, T.: Model describing the biased Brownian movement of myosin. Proc. Japan Acad. 79 (ser. B), 9–14 (2003)
Howard, J.: Mechanism of Motor Proteins and the Cytoskeleton. Sinauer Associates, Inc. Publishers, Sunderland (2001)
Ishii, Y., Yanagida, T.: Single Molecule Detection in Life Science. Single Mol. 1, 5–16 (2000)
Kitamura, K., Ishijima, A., Tokunaga, M., Yanagida, T.: Single-Molecule Nanobiotechnology. JSAP International 4, 4–9 (2001)
Kitamura, K., Tokunaga, M., Iwane, A.H., Yanagida, T.: A single myosin head moves along an actin filament with regular steps of 5.3 nanometers. Nature 397, 129–134 (1999)
Lindner, B., Kostur, M., Schimanky-geier, L.: Optimal diffusive transport in a tilted periodic potential. Fluc. Noise Lett. 1, R25–R39 (2001)
Makhnovskii Yu, A., Rozenbaum, V.M., Yang, D.-Y., Lin, S.H.: Flashing ratchet model with high efficiency. Phys. Rev. E 69, 021102-1–021102-7 (2004)
Reimann, P.: Brownian motors: noisy transport far from equilibrium. Phys. Rep. 361, 57–265 (2002)
Reimann, P., Hänggi, P.: Introduction to the physics of Brownian motors. Appl. Phys. A 75, 169–178 (2002)
Risken, H.: The Fokker-Planck Equation: Methods of Solutions and Applications. Springer, Berlin (1989)
Sekimoto, K.: Kinetic Characterization of Heat Bath and the Energetics of Thermal Ratchet Models. J. Phys. Soc. Jpn. 66, 1234–1237 (1997)
Wang, H., Oster, G.: Ratchets, power strokes, and molecular motors. Appl. Phys. A 75, 315–323 (2002)
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Buonocore, A., Caputo, L., Pirozzi, E., Ricciardi, L.M. (2005). On Myosin II Dynamics: From a Pulsating Ratchet to a Washboard Potential. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2005. EUROCAST 2005. Lecture Notes in Computer Science, vol 3643. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556985_56
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DOI: https://doi.org/10.1007/11556985_56
Publisher Name: Springer, Berlin, Heidelberg
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