Proofreading through spatial gradients

Abstract

Key enzymatic processes use the nonequilibrium error correction mechanism called kinetic proof reading to enhance their specificity. The applicability of traditional proofreading schemes, however, is limited since they typically require dedicated structural features in the enzyme, such as a nucleotide hydrolysis site or multiple intermediate conformations. Here, we explore an alternative conceptual mechanism that achieves error correction by having substrate binding and subsequent product formation occur at distinct physical locations. The time taken by the enzyme-substrate complex to diffuse from one location to another is leveraged to discard wrong substrates. This mechanism does not have the typical structural requirements, making it easier to overlook in expe riments. We discuss how the length scales of molecular gradients dictate proofreading performance, and quantify the limitations imposed by realistic di↵usion and reaction rates. Our work broadens the applicability of kinetic proofreading and sets the stage for studying spatial gradients as a possible route to specificity.