import itertools import numpy as np import pandas as pd from Bio.PDB import PDBParser, PPBuilder from common import RES, EXT, abc from structure_utils import alphafold_model, correspondence, kabsch, tm_score AF = EXT / "alphafold" A = abc().set_index("gene") def ca_chain(gene): s = PDBParser(QUIET=True).get_structure(gene, alphafold_model(A.uniprot[gene], AF)) res = [r for r in s[0].get_residues() if "CA" in r] seq = "".join(str(pp.get_sequence()) for pp in PPBuilder().build_peptides(s[0])) return seq, np.array([r["CA"].coord for r in res], dtype=float) chains = {g: ca_chain(g) for g in A.index} rows = [] for g1, g2 in itertools.combinations(A.index, 2): (s1, x1), (s2, x2) = chains[g1], chains[g2] i1, i2 = correspondence(s1, s2) L = min(len(s1), len(s2)) d0 = 1.24 * (L - 15) ** (1 / 3) - 1.8 R, pc, qc = kabsch(x1[i1], x2[i2]) d = np.linalg.norm((x1[i1] - pc) @ R + qc - x2[i2], axis=1) tm_single = np.sum(1 / (1 + (d / d0) ** 2)) / L tm_opt, rmsd = tm_score(x1[i1], x2[i2], L) rows.append((g1, g2, A.subfamily[g1] == A.subfamily[g2], round(tm_single, 4), round(tm_opt, 4), round(rmsd, 2), len(i1), L)) out = pd.DataFrame(rows, columns=["gene1", "gene2", "same_subfamily", "tmscore_single_superposition", "tmscore", "rmsd_core", "aligned", "L"]) out.to_csv(RES / "abc_struct_sim.csv", index=False) par = pd.read_csv(RES / "abc_paralog_pairs.csv") if (RES / "abc_paralog_pairs.csv").exists() else None pd.set_option("display.width", 200) if par is not None: keys = {frozenset(p) for p in par[["gene1", "gene2"]].itertuples(index=False)} out["paralog"] = [frozenset((a, b)) in keys for a, b in zip(out.gene1, out.gene2)] out.to_csv(RES / "abc_struct_sim.csv", index=False) from scipy import stats I = pd.read_csv(RES / "abc_identity.csv", index_col=0) genes = list(A.index) n = len(genes) T = pd.DataFrame(np.nan, index=genes, columns=genes) for g1, g2, tm in zip(out.gene1, out.gene2, out.tmscore): T.loc[g1, g2] = T.loc[g2, g1] = tm iu = np.triu_indices(n, 1) Iv, Tv = I.loc[genes, genes].values, T.values obs = stats.spearmanr(Iv[iu], Tv[iu]).statistic rng = np.random.default_rng(0) B = 10000 null = np.array([stats.spearmanr(Iv[iu], Tv[np.ix_(p, p)][iu]).statistic for p in (rng.permutation(n) for _ in range(B))]) p_mantel = (np.sum(np.abs(null) >= abs(obs)) + 1) / (B + 1) pd.DataFrame([("identity vs TM-score, Mantel", obs, p_mantel, len(iu[0]), B)], columns=["test", "rho", "p_gene_label_permutation", "pairs", "permutations"]).to_csv( RES / "abc_identity_tm_mantel.csv", index=False)