Relationship between Decimal Hill Coefficient, Intermediate Processes, and Mesoscopic Fluctuations in Gene Expression.

ABSTRACT: The Hill function is relevant for describing enzyme binding and other processes in gene regulatory networks. Despite its theoretical foundation, based on the mechanism of ligand-receptor binding, it is often used as a proper fitting function with a noninteger Hill coefficient in the description of gene expression. In this study, we explicitly considered intermediate processes in the transcription factor binding sites and mesoscopic concentration fluctuations, which, in contrast to the case of a single binding site without conformal states or all-or-none binding, lead to a noninteger Hill coefficient for the transcription rate. The relationships between the intermediate processes and the decimal Hill coefficient were established through a direct relationship between the dissociation constan

SUBMITTER: Hernandez-Garcia ME 

PROVIDER: S-EPMC12004157 | biostudies-literature | 2025 Apr

REPOSITORIES: biostudies-literature