Chemo-mechanical coupling in molecular motors interpreted through the uncertainty relations

A new, unique representation of biophysical uncertainty relations have been formulated by combining both the quantum mechanical and of statistical mechanics uncertainty relations into a single entity. The biophysical uncertainty relations are especially suitable for the estimation of chemo-mechanical coupling between chemical and physical variables in molecular motors. This statement is supported by examples on myosin motors under conditions of low load and sub-piconewton force fluctuations of actomyosin interacting, in vitro, with a single actin filament. We have approached the description of chemo-mechanical coupling only in terms of macroscopic quantities which are regarded as stochastic variables.