Force-Velocity Relations of a Two-State Crossbridge Model for Molecular Motors

TL;DR

This paper analyzes force-velocity relationships in a two-state crossbridge model for molecular motors, highlighting how strain-dependent detachment rates influence motor behavior and can produce various force-velocity curves, including oscillations.

Contribution

It provides analytical calculations of force-velocity relations in limiting cases and explores the impact of strain-dependent detachment rates on motor dynamics.

Findings

Strain-dependent detachment rates can produce diverse force-velocity curves.

Conditions for oscillatory behavior in molecular motors are specified.

Analytical expressions are derived for large and single motor pairs.

Abstract

We discuss the force-velocity relations obtained in a two-state crossbridge model for molecular motors. They can be calculated analytically in two limiting cases: for a large number and for one pair of motors. The effect of the strain-dependent detachment rate on the motor characteristics is studied. It can lead to linear, myosin-like, kinesin-like and anomalous curves. In particular, we specify the conditions under which oscillatory behavior may be found.