Decoding How Proteins Fold

TL;DR

This paper introduces a novel approach based on the principle of least action to better understand the mechanisms and pathways of protein folding, aiming to explain folding rates, pathways, and Levinthal's paradox.

Contribution

It proposes a new theoretical framework applying the principle of least action to elucidate protein folding pathways and rates, offering insights into the boundary conditions and common trajectories involved.

Findings

Provides a theoretical explanation for the constant folding rate

Clarifies the boundary conditions influencing folding pathways

Offers a resolution to Levinthal's paradox

Abstract

One of the most puzzling and unsolved challenges in molecular biology is understanding how proteins fold. Despite having advanced predictive tools that can accurately estimate the native structures of proteins, we still lack a comprehensive model that explains how amino acid sequences dictate folding pathways and trajectories. This manuscript takes a fresh approach to this problem by resorting to the principle of least action. This approach enables us to explore an intriguing question: how does a protein achieve its native state at a constant folding rate and within a time frame that is biologically plausible? A response to this inquiry will help us understand why proteins must fold along specific pathways and identify the boundary conditions that restrict their availability. It will also clarify why different folding pathways could be characterized by a common effective folding trajectory. Finally, it will provide a clear explanation for Levinthal's paradox. Our results are expected to pave the way for a more profound understanding of how proteins fold, shedding light on how the amino acid sequence and its surrounding environment encode the protein's folding pathways and, consequently, the protein's three-dimensional structure.