∫ f(x)dx ∇²u = 0 IJPACM

International Journal of Pure, Applied and Computational Mathematics (IJPACM)

e-ISSN: 2348-0084 • CC BY 4.0

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ijpacm Applied Mathematics & Modeling 📅 Evaluation Due: Sep 15, 2026
IN REVIEW

Adaptive Graph Attention Networks for Single-Cell Spatial Transcriptomics

Resolving Microenvironment Cell-Cell Interactions with Positional Embeddings

Blinded Manuscript Abstract

Spatial transcriptomics technology measures gene expression while preserving tissue coordinates, but noise and sparse gene capture hinder cell-type deconvolution. We design SpatialGAT, an attention-weighted graph neural architecture with harmonic positional encodings that dynamically models ligand-receptor interaction weights across cellular neighborhoods. Experiments on 10x Visium mouse coronal brain slices show a 19.3% boost in cell type identification accuracy over non-spatial graph convolutions. SpatialGAT establishes an end-to-end topological framework for characterizing cellular microenvironments and tumor-stroma boundaries.

Keywords: Graph Attention Networks Spatial Transcriptomics Topological Data Analysis Graph Neural Networks
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Composite Score: 4.00 / 5.00
4/5
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4/5
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