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Steady-state and transient analysis of the Peskin-Odell-Oster Brownian ratchet model in the limit of large but finite diffusion

par Kozyreff, Gregory ;Ryckaert, Jean-Paul
Référence Physical Review E, 100, 022132
Publication Publié, 2019-08-22

Article révisé par les pairs

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Résumé :

We study the model of growing filament against a wall proposed by Peskin, Odell, and Oster [Biophys. J. 65, 316 (1993)BIOJAU0006-349510.1016/S0006-3495(93)81035-X] using the ratio of chemical to diffusion timescales as a small expansion parameter. A detailed multiple-scale analysis allows us to fully describe the spatiotemporal evolution toward a steady-state distribution for the wall-tip distance, including chemical effects, in very good agreement with numerical simulations. Implications on the quasistatic approximation, where the force on the wall is allowed to vary slowly in time, are discussed. A corrected force-velocity relationship together with explicit expressions of the relevant timescales are provided.