Random walks of molecular motors arising from diffusional encounters with immobilized filaments

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dc.creatorNieuwenhuizen, Theo M.
dc.creatorKlumpp, Stefan
dc.creatorLipowsky, Reinhard
dc.date2003-12-17
dc.date.accessioned2026-07-07T02:55:26Z
dc.date.available2026-07-07T02:55:26Z
dc.descriptionMovements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random walks. Effects of detachment and reattachment are calculated by an analytical solution of the master equation in two and three dimensions. Results are obtained for the fraction of bound motors, their average velocity and displacement. The diffusion coefficient parallel to the filament becomes anomalously large since detachment and subsequent reattachment, in the presence of directed motion of the bound motors, leads to a broadening of the density distribution. The occurrence of protofilaments on a microtubule is modeled by internal states of the binding sites. After a transient time all protofilaments become equally populated.
dc.description20 pages Phys Rev E format + 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0312422
dc.identifierhttp://arxiv.org/abs/cond-mat/0312422
dc.identifierPhys. Rev. E 69, 061911 (2004)
dc.identifierdoi:10.1103/PhysRevE.69.061911
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22942
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.titleRandom walks of molecular motors arising from diffusional encounters with immobilized filaments
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