Dynamic and Thermodynamic Bounds for Collective Motor-Driven Transport

Area of Science:

• Cellular biology
• Biophysics
• Thermodynamics

Background:

• Molecular motors are essential for intracellular cargo transport, operating collectively with varying numbers of motors per cargo.
• Understanding the collective behavior of these motors is crucial for deciphering cellular mechanics and efficiency.

Purpose of the Study:

• To derive a novel lower bound for entropy production rate in collective molecular motor transport systems.
• To establish new theoretical limits on the performance (velocity, efficiency, precision) of these biological transport systems.
• To analyze the Pareto frontiers for identical motors and identify conditions for their saturation.

Main Methods:

• Application of stochastic thermodynamics principles to collective transport systems.
• Derivation of a new entropy production rate lower bound, surpassing the second law's limitations.
• Analysis of a specific model to determine conditions for Pareto frontier saturation.

Main Results:

• A new, tighter lower bound for entropy production rate was established for collective molecular motor transport.
• This bound leads to improved constraints on the velocity, efficiency, and precision of general transport systems.
• Analytic Pareto frontiers for identical motors were derived, with conditions for their saturation identified in a specific model.

Conclusions:

• The derived entropy production bound offers a more refined understanding of the physical limits governing molecular motor function.
• These findings have implications for optimizing artificial and understanding natural nanoscale transport systems.
• The study provides a theoretical framework for analyzing the trade-offs between different performance metrics in collective transport.