Mean Ollivier-Ricci curvature

Chronological age is associated with mean Ollivier-Ricci curvature in silico (+0.018 at age 20–30 to +0.119 at age 80+).

“mean ORC increases monotonically from +0.018 (age 20-30) to +0.119 (age 80+)”

In silicoAge-stratified disease comorbidity networks from Austrian hospital patients

Ollivier Ricci Curvature as a Geometric Biomarker for Biomedical Networks: From Ontology to Comorbidity Aging Trajectories

medRxiv·16 Mar 2026Preprint

biomedical network type is associated with mean Ollivier-Ricci curvature in silico (Taxonomy: -0.112; disease co-occurrence network: +0.430).

“the formal IS-A taxonomy is hyperbolic (mean ORC = -0.112, tree-like), while the disease co-occurrence network is spherical (mean ORC = +0.430, clique-rich)”

In silicoFormal IS-A taxonomy versus disease co-occurrence network within the Human Phenotype Ontology

Ollivier Ricci Curvature as a Geometric Biomarker for Biomedical Networks: From Ontology to Comorbidity Aging Trajectories

medRxiv·16 Mar 2026Preprint