statistical-pharmacology

Paper I of "Statistical Pharmacology via Kakutani Dichotomy": the marginal drug Kakutani index (DKI) and the alpha_c = 1/2 criticality theorem for high-dimensional protein conformational ensembles. Paper (LaTeX/PDF), reproducible Python code, data and figures. DOI 10.5281/zenodo.23005921

Paper II of "Statistical Pharmacology via Kakutani Dichotomy": the correlated Kakutani index (CKI), the 99.95% covariance dominance theorem (Szego rate in closed form) and spectral fingerprints of cryptic allostery. Paper (LaTeX/PDF), reproducible Python code, data and figures. DOI 10.5281/zenodo.23012217

Statistical Pharmacology via Kakutani Dichotomy X: Blocking amyloid nucleation of intrinsically disordered tau and Abeta42 monomers via tail-exponent stabilization, asymmetric baseline cubic corrections, and finite-mode crossover.

Paper VIII of Statistical Pharmacology via Kakutani Dichotomy: validation on real PDB ensembles (ubiquitin NMR, adenylate kinase), Isserlis bound and influence-function block selection, bootstrap coverage calibration. Code, data, paper.

Kakutani–KMS theory of ligand-induced conformational phase transitions: integrating article of the Statistical Pharmacology via Kakutani Dichotomy series (Papers I–VII), with LaTeX source, PDF and verification script.

Paper III of "Statistical Pharmacology via Kakutani Dichotomy": spectral Kakutani-Feldman-Hajek criticality of correlated conformational modes (mode amplitude perturbation vs iso-spectral Givens rotation), the doubling tail-increment estimator that removes the finite-size bias at alpha_c = 1/2, and the geodesic parity theorem on the SPD cone. Paper