Markov process of muscle motors

DOI10.1088/0951-7715/21/8/010zbMATH Open1146.92304arXiv0706.2931OpenAlexW3102484126MaRDI QIDQ3519492

Author name not available (Why is that?)

Publication date: 14 August 2008

Published in: Nonlinearity (Search for Journal in Brave)

Abstract: We study a Markov random process describing a muscle molecular motor behavior. Every motor is either bound up with a thin filament or unbound. In the bound state the motor creates a force proportional to its displacement from the neutral position. In both states the motor spend an exponential time depending on the state. The thin filament moves at its velocity proportional to average of all displacements of all motors. We assume that the time which a motor stays at the bound state does not depend on its displacement. Then one can find an exact solution of a non-linear equation appearing in the limit of infinite number of the motors.

Full work available at URL: https://arxiv.org/abs/0706.2931

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Biophysics (92C05)