Commutative algebra neural network reveals genetic origins of diseases

Fuente: arXiv
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Auteurs principaux: Wee, JunJie, Suwayyid, Faisal, Zia, Mushal, Feng, Hongsong, Hozumi, Yuta, Wei, Guo-Wei
Format: Preprint
Publié: 2025
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author Wee, JunJie
Suwayyid, Faisal
Zia, Mushal
Feng, Hongsong
Hozumi, Yuta
Wei, Guo-Wei
author_facet Wee, JunJie
Suwayyid, Faisal
Zia, Mushal
Feng, Hongsong
Hozumi, Yuta
Wei, Guo-Wei
contents Genetic mutations can disrupt protein structure, stability, and solubility, contributing to a wide range of diseases. Existing predictive models often lack interpretability and fail to integrate physical and chemical interactions critical to molecular mechanisms. Moreover, current approaches treat disease association, stability changes, and solubility alterations as separate tasks, limiting model generalizability. In this study, we introduce a unified framework based on multiscale commutative algebra to capture intrinsic physical and chemical interactions for the first time. Leveraging Persistent Stanley-Reisner Theory, we extract multiscale algebraic invariants to build a Commutative Algebra neural Network (CANet). Integrated with transformer features and auxiliary physical features, we apply CANet to tackle three key domains for the first time: disease-associated mutations, mutation-induced protein stability changes, and solubility changes upon mutations. Across six benchmark tasks, CANet and its gradient boosting tree counterpart, CATree, consistently attain state-of-the-art performance, achieving up to 7.5% improvement in predictive accuracy. Our approach offers multiscale, mechanistic, interpretable,and generalizable models for predicting disease-mutation associations.
format Preprint
id arxiv_https___arxiv_org_abs_2509_26566
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Commutative algebra neural network reveals genetic origins of diseases
Wee, JunJie
Suwayyid, Faisal
Zia, Mushal
Feng, Hongsong
Hozumi, Yuta
Wei, Guo-Wei
Quantitative Methods
Commutative Algebra
Biomolecules
Genetic mutations can disrupt protein structure, stability, and solubility, contributing to a wide range of diseases. Existing predictive models often lack interpretability and fail to integrate physical and chemical interactions critical to molecular mechanisms. Moreover, current approaches treat disease association, stability changes, and solubility alterations as separate tasks, limiting model generalizability. In this study, we introduce a unified framework based on multiscale commutative algebra to capture intrinsic physical and chemical interactions for the first time. Leveraging Persistent Stanley-Reisner Theory, we extract multiscale algebraic invariants to build a Commutative Algebra neural Network (CANet). Integrated with transformer features and auxiliary physical features, we apply CANet to tackle three key domains for the first time: disease-associated mutations, mutation-induced protein stability changes, and solubility changes upon mutations. Across six benchmark tasks, CANet and its gradient boosting tree counterpart, CATree, consistently attain state-of-the-art performance, achieving up to 7.5% improvement in predictive accuracy. Our approach offers multiscale, mechanistic, interpretable,and generalizable models for predicting disease-mutation associations.
title Commutative algebra neural network reveals genetic origins of diseases
topic Quantitative Methods
Commutative Algebra
Biomolecules
url https://arxiv.org/abs/2509.26566