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Renewal processes and fluctuation analysis of molecular motor stepping

Jaime E Santos1, Thomas Franosch1,2, Andrea Parmeggiani3 and Erwin Frey2

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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.


PACS

87.14.E- Proteins

87.15.A- Theory, modeling, and computer simulation

87.16.Nn Motor proteins (myosin, kinesin dynein)

87.15.H- Dynamics of biomolecules

87.15.Ya Fluctuations

87.15.B- Structure of biomolecules

Subjects

Biological physics

Dates

Issue 3 (September 2005)

Received 29 May 2005, accepted for publication 21 September 2005

Published 13 October 2005

 
Fourier transform of the spin-spin correlation function for a renewal process composed of two Poisson processes.


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