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Renewal processes and fluctuation analysis of molecular motor stepping

Jaime E Santos et al 2005 Phys. Biol. 2 207-222   doi: 10.1088/1478-3975/2/3/008  Help

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Jaime E Santos1, Thomas Franosch1,2, Andrea Parmeggiani3 and Erwin Frey2
1 Hahn-Meitner Institut, Abteilung Theorie, Glienicker Str. 100, D-14109 Berlin, Germany
2 Arnold Sommerfeld Center and CeNS, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany
3 Laboratoire de Dynamique Moléculaire des Interactions Membranaires, UMR 5539 CNRS/Université de Montpellier 2, Place Eugène Bataillon, 34095 Montpellier Cedex 5, France
E-mail: frey@lmu.de

Abstract. We present a systematic method of analysis of experiments performed with single motor proteins. The use of such a method should allow a more detailed description of the motor's chemical cycle through the precise fitting of the experimental data. We model the dynamics of a processive or rotary molecular motor using a renewal process, in line with the work initiated by Svoboda, Mitra and Block. We apply a functional technique to compute different types of multiple-time correlation function of the renewal process, which have applications to bead-assay experiments performed both with processive molecular motors, such as myosin V and kinesin, and rotary motors, such as F1-ATPase.

Received 29 May 2005, accepted for publication 21 September 2005
Published 13 October 2005

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