Characterizing Physicochemical Selection in Protein Evolution with Property-Informed Models (PRIME)

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This paper introduces PRIME (PRoperty Informed Models of Evolution), a codon-level maximum likelihood framework with global, episodic, and site-specific versions that model amino acid exchange-ability as a function of physicochemical properties (e.g., molecular volume, hydropathy, secondary-structure propensities) to connect selection signals to mechanistic biophysical constraints. Using a benchmark of 24 diverse datasets and a genome-wide analysis of 18,944 mammalian genes, the authors report that incorporating biophysical realism substantially improves model fit and can work alongside rate variation to explain complex evolutionary patterns, with site-level detection power related to informational redundancy (substitutions per unique amino acid) and high sensitivity in data-rich alignments. They find a biophysical hierarchy in which core packing and beta-sheet scaffolds are rigidly conserved, while alpha-helix propensity and surface electrostatics show adaptive tuning, and they note that site changes are resolved by an explicit biophysical taxonomy beyond traditional rate-based metrics. The paper does not explicitly discuss endometriosis or adenomyosis; it was included in the corpus via a keyword match in the upstream search index.

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Abstract Standard probabilistic models of coding sequence evolution effectively identify where and when selection acts but remain agnostic to the mechanistic realization of these forces. We introduce PRIME (PRoperty Informed Models of Evolution), a framework of codon-level maximum likelihood methods—including global (G-PRIME), episodic (E-PRIME), and site-specific (S-PRIME) implementations—that explicitly model amino acid exchange-ability as a function of physicochemical properties. By parameterizing attributes such as molecular volume, hydropathy, and secondary structure propensities, PRIME resolves the biophysical basis of selective constraint across both the sequence and the phylogeny. At the site level, S-PRIME leverages an explicit biophysical taxon-omy to precisely categorize residues as conserved, neutral, or changing for specific properties, resolving selective signals that remain invisible to traditional rate-based metrics. Our analysis of a benchmark of 24 diverse datasets and a genome-wide screen of 18,944 mammalian genes demonstrates that biophysical realism yields substantial improvements in model fit, acting synergistically with rate variation to explain complex evolutionary patterns. We find that power to detect physicochemical constraints at individual sites is fundamentally governed by simple informational redundancy (substitutions per unique amino acid; AUC = 0.91), with sensitivity exceeding 90% in data-rich alignments. E-PRIME reveals a distinct biophysical hierarchy: while core packing and beta-sheet scaffolds are rigidly conserved, alpha-helix propensity and surface electrostatics serve as the primary substrates for adaptive tuning. Furthermore, PRIME importance weights align with aspects of the primary semantic axes of deep learning representations (ESM-2) and capture key features of experimental fitness landscapes. By trans-forming abstract evolutionary rates into interpretable biophysical rules, PRIME provides a useful framework for characterizing the mechanistic drivers of protein diversity. Competing Interest Statement The authors have declared no competing interest.

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