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Operator-theoretic spatial biology framework for tumor–immune interface analysis using Hodge decomposition, antisymmetric commutator geometry, and graph operator dynamics. Validated across HCC, IMC, CABO/NIVO, and a pan-cancer Visium cohort (26 sections, 118k+ spots, 6 cancer types).
Computational framework for metabolite acquisition prioritization under partial pathway observability using operator-based structural ambiguity reduction.