import itertools import numpy as np import pandas as pd import biotite.structure as struc import biotite.structure.io.pdb as pdb from scipy import stats from common import RES, EXT, SEED, read_matrix, abc from structure_utils import alphafold_model AF = EXT / "alphafold" MAX_ITER = 20 N_PERM = 10_000 A = abc().set_index("gene") rng = np.random.default_rng(SEED) def protein(gene): s = pdb.PDBFile.read(str(alphafold_model(A.uniprot[gene], AF))).get_structure(model=1) return s[struc.filter_amino_acids(s)] chains = {g: protein(g) for g in A.index} S = pd.read_csv(RES / "abc_struct_sim.csv") rows = [] for g1, g2 in zip(S.gene1, S.gene2): fitted, _, fi, mi = struc.superimpose_structural_homologs(chains[g1], chains[g2], max_iterations=MAX_ITER, reference_length="shorter") tm = struc.tm_score(chains[g1], fitted, fi, mi, reference_length="shorter") rows.append((g1, g2, tm, len(fi))) V = pd.DataFrame(rows, columns=["gene1", "gene2", "tmscore_biotite", "superposed_pairs_biotite"]).round(4) V = S[["gene1", "gene2", "same_subfamily", "tmscore", "paralog"]].merge(V, on=["gene1", "gene2"]) V.to_csv(RES / "abc_struct_validation.csv", index=False) def matrix(genes, col): M = pd.DataFrame(np.nan, index=genes, columns=genes) for g1, g2, v in V[["gene1", "gene2", col]].itertuples(index=False): if g1 in genes and g2 in genes: M.loc[g1, g2] = M.loc[g2, g1] = v return M.values def mantel(X, Y): n = len(X) iu = np.triu_indices(n, 1) obs = stats.spearmanr(X[iu], Y[iu]).statistic null = np.array([stats.spearmanr(X[iu], Y[np.ix_(p, p)][iu]).statistic for p in (rng.permutation(n) for _ in range(N_PERM))]) return obs, (np.sum(np.abs(null) >= abs(obs)) + 1) / (N_PERM + 1) genes = list(A.index) I = pd.read_csv(RES / "abc_identity.csv", index_col=0).loc[genes, genes].values r_id, p_id = mantel(I, matrix(genes, "tmscore_biotite")) Z = read_matrix("hom.z_result_nm.pub") pg = [g for g in genes if A.systematic[g] in Z.index and Z.loc[A.systematic[g]].notna().sum() >= 50] X = Z.loc[[A.systematic[g] for g in pg]] R = np.full((len(pg), len(pg)), np.nan) for i, j in itertools.combinations(range(len(pg)), 2): m = X.iloc[i].notna() & X.iloc[j].notna() R[i, j] = R[j, i] = stats.pearsonr(X.iloc[i][m], X.iloc[j][m]).statistic r_pf, p_pf = mantel(matrix(pg, "tmscore_biotite"), np.arctanh(R)) par = V[V.paralog] summ = pd.DataFrame([ ("pairs", len(V), np.nan), ("Spearman rho, this study vs Biotite", stats.spearmanr(V.tmscore, V.tmscore_biotite).statistic, np.nan), ("median absolute difference, paralogous pairs", float(np.median(np.abs(par.tmscore - par.tmscore_biotite))), np.nan), ("median absolute difference, all pairs", float(np.median(np.abs(V.tmscore - V.tmscore_biotite))), np.nan), ("median TM-score, same subfamily, this study", float(V[V.same_subfamily].tmscore.median()), np.nan), ("median TM-score, same subfamily, Biotite", float(V[V.same_subfamily].tmscore_biotite.median()), np.nan), ("median TM-score, different subfamilies, this study", float(V[~V.same_subfamily].tmscore.median()), np.nan), ("median TM-score, different subfamilies, Biotite", float(V[~V.same_subfamily].tmscore_biotite.median()), np.nan), ("Mantel rho, sequence identity vs Biotite TM-score", r_id, p_id), ("Mantel rho, Biotite TM-score vs fitness-profile similarity (Fisher z)", r_pf, p_pf), ], columns=["quantity", "value", "p_gene_label_permutation"]) summ.to_csv(RES / "abc_struct_validation_summary.csv", index=False)