One dimensional chain of quantum molecule motors as a mathematical physics model for muscle fibre

TL;DR

This paper introduces a quantum chain model to describe muscle fiber mechanics, predicting force-velocity relations and tension transients, and applying quantum physics phenomena to biological muscle behaviors.

Contribution

It develops a novel quantum many-particle Hamiltonian model for muscle fibers, linking quantum physics to muscle force-velocity relations and tension transients.

Findings

Predicted force-velocity relation for slow muscle fiber release.

Modeled tension transients of cardiac and insect flight muscles.

Reproduced experimental tension curves using quantum three-level systems.

Abstract

A quantum chain model of many molecule motors is proposed as a mathematical physics theory on the microscopic modeling of classical force-velocity relation and tension transients of muscle fibre. We proposed quantum many-particle Hamiltonian to predict the force-velocity relation for the slow release of muscle fibre which has no empirical relation yet, it is much more complicate than hyperbolic relation. Using the same Hamiltonian, we predicted the mathematical force-velocity relation when the muscle is stimulated by alternative electric current. The discrepancy between input electric frequency and the muscle oscillation frequency has a physical understanding by Doppler effect in this quantum chain model. Further more, we apply quantum physics phenomena to explore the tension time course of cardiac muscle and insect flight muscle. Most of the experimental tension transients curves found their correspondence in the theoretical output of quantum two-level and three-level model. Mathematically modeling electric stimulus as photons exciting a quantum three-level particle reproduced most tension transient curves of water bug Lethocerus Maximus.