Robust quantization of a molecular motor motion in a stochastic environment

TL;DR

This paper introduces the Pumping-Quantization Theorem (PQT) that defines conditions for robust integer quantized responses in molecular motors under periodic control, with implications for experimental molecular machinery.

Contribution

The paper formulates the Pumping-Quantization Theorem (PQT), providing a theoretical framework for robust quantization in molecular motors under periodic modulation.

Findings

PQT identifies conditions for quantized response robustness.

Implications for experiments with catenane molecules.

Theoretical foundation for molecular motor control.

Abstract

We explore quantization of the response of a molecular motor to periodic modulation of control parameters. We formulate the Pumping-Quantization Theorem (PQT) that identifies the conditions for robust integer quantized behavior of a periodically driven molecular machine. Implication of PQT on experiments with catenane molecules are discussed.