import os import json import random import numpy as np import pandas as pd from scipy import stats RESULTS_DIR = "results" SAMPLE_SIZE = 10000 SEED = 42 NN_PARAMS = { "AA": {"dH": -7.9, "dS": -22.2}, "TT": {"dH": -7.9, "dS": -22.2}, "AT": {"dH": -7.2, "dS": -20.4}, "TA": {"dH": -7.2, "dS": -21.3}, "CA": {"dH": -8.5, "dS": -22.7}, "AC": {"dH": -8.5, "dS": -22.7}, "GT": {"dH": -8.4, "dS": -22.4}, "TG": {"dH": -8.4, "dS": -22.4}, "CT": {"dH": -7.8, "dS": -21.0}, "TC": {"dH": -7.8, "dS": -21.0}, "GA": {"dH": -8.2, "dS": -22.2}, "AG": {"dH": -8.2, "dS": -22.2}, "CG": {"dH": -10.6, "dS": -27.2}, "GC": {"dH": -9.8, "dS": -24.4}, "GG": {"dH": -8.0, "dS": -19.9}, "CC": {"dH": -8.0, "dS": -19.9}, } INIT_DH = 0.2 INIT_DS = -5.7 R = 1.987e-3 T_KELVIN = 310.15 def calc_melting_temp(seq): seq = seq.upper() dH = INIT_DH dS = INIT_DS gc = seq.count("G") + seq.count("C") if gc > 0: dH += 0.1 dS -= 2.8 else: dH += 2.2 dS += 6.9 for i in range(len(seq) - 1): dinuc = seq[i:i + 2] if dinuc in NN_PARAMS: dH += NN_PARAMS[dinuc]["dH"] dS += NN_PARAMS[dinuc]["dS"] dS_total = dS / 1000.0 if abs(dS_total) < 1e-10: return None return dH / dS_total - 273.15 def calc_gibbs(seq, T=T_KELVIN): seq = seq.upper() dH = INIT_DH dS = INIT_DS for i in range(len(seq) - 1): dinuc = seq[i:i + 2] if dinuc in NN_PARAMS: dH += NN_PARAMS[dinuc]["dH"] dS += NN_PARAMS[dinuc]["dS"] return dH - T * (dS / 1000.0) def random_sequence(length, rng): return "".join(rng.choice(["A", "C", "G", "T"]) for _ in range(length)) def secondary_structure_flags(seq): seq = seq.upper() hairpin = any(seq[i] == seq[-(i + 1)] for i in range(len(seq) // 2)) return {"hairpin": hairpin, "g4": "GGGG" in seq, "imotif": "CCCC" in seq} def main(): nullomers_path = os.path.join(RESULTS_DIR, "nullomers_k11.txt") if not os.path.exists(nullomers_path): raise FileNotFoundError(f"{nullomers_path} not found. Run 01_nullomer_identification.py first.") with open(nullomers_path) as f: all_nullomers = [line.strip() for line in f if line.strip()] rng_np = np.random.default_rng(SEED) rng_py = random.Random(SEED) sample_size = min(SAMPLE_SIZE, len(all_nullomers)) nullomer_sample = rng_np.choice(all_nullomers, size=sample_size, replace=False).tolist() k = len(nullomer_sample[0]) random_seqs = [random_sequence(k, rng_py) for _ in range(sample_size)] records = [] for seq in nullomer_sample: flags = secondary_structure_flags(seq) records.append({"sequence": seq, "group": "nullomer", "Tm": calc_melting_temp(seq), "dG": calc_gibbs(seq), "GC": (seq.count("G") + seq.count("C")) / len(seq), **flags}) for seq in random_seqs: flags = secondary_structure_flags(seq) records.append({"sequence": seq, "group": "random", "Tm": calc_melting_temp(seq), "dG": calc_gibbs(seq), "GC": (seq.count("G") + seq.count("C")) / len(seq), **flags}) df = pd.DataFrame(records).dropna(subset=["Tm", "dG"]) df.to_csv(os.path.join(RESULTS_DIR, "nullomer_thermodynamics.csv"), index=False) null_df = df[df["group"] == "nullomer"] rand_df = df[df["group"] == "random"] t_tm, p_tm = stats.ttest_ind(null_df["Tm"], rand_df["Tm"]) t_dg, p_dg = stats.ttest_ind(null_df["dG"], rand_df["dG"]) r_gc_tm, p_gc_tm = stats.pearsonr(null_df["GC"], null_df["Tm"]) delta_dg = null_df["dG"].mean() - rand_df["dG"].mean() boltzmann_fold = np.exp(-delta_dg / (R * T_KELVIN)) summary = { "n_nullomers": int(len(null_df)), "n_random": int(len(rand_df)), "nullomer_Tm_mean": round(float(null_df["Tm"].mean()), 2), "nullomer_Tm_std": round(float(null_df["Tm"].std()), 2), "random_Tm_mean": round(float(rand_df["Tm"].mean()), 2), "random_Tm_std": round(float(rand_df["Tm"].std()), 2), "Tm_difference": round(float(null_df["Tm"].mean() - rand_df["Tm"].mean()), 2), "Tm_t_statistic": round(float(t_tm), 3), "Tm_p_value": float(p_tm), "nullomer_dG_mean": round(float(null_df["dG"].mean()), 2), "nullomer_dG_std": round(float(null_df["dG"].std()), 2), "random_dG_mean": round(float(rand_df["dG"].mean()), 2), "random_dG_std": round(float(rand_df["dG"].std()), 2), "delta_dG_kcal_mol": round(float(delta_dg), 2), "boltzmann_fold_disadvantage": round(float(boltzmann_fold), 1), "dG_t_statistic": round(float(t_dg), 3), "dG_p_value": float(p_dg), "GC_Tm_pearson_r": round(float(r_gc_tm), 3), "GC_Tm_p_value": float(p_gc_tm), "pct_very_stable_nullomers": round(float((null_df["dG"] < -10).mean() * 100), 1), "pct_very_stable_random": round(float((rand_df["dG"] < -10).mean() * 100), 1), "pct_hairpin": round(float(null_df["hairpin"].mean() * 100), 1), "pct_g4": round(float(null_df["g4"].mean() * 100), 1), "pct_imotif": round(float(null_df["imotif"].mean() * 100), 1), } with open(os.path.join(RESULTS_DIR, "thermodynamic_summary.json"), "w") as f: json.dump(summary, f, indent=2) print(f"Tm: {summary['nullomer_Tm_mean']} vs {summary['random_Tm_mean']} °C " f"t={summary['Tm_t_statistic']} p={summary['Tm_p_value']:.2e}\n" f"dG: {summary['nullomer_dG_mean']} vs {summary['random_dG_mean']} kcal/mol " f"ΔΔG={summary['delta_dG_kcal_mol']} {summary['boltzmann_fold_disadvantage']}-fold\n" f"GC-Tm r={summary['GC_Tm_pearson_r']} " f"very stable: {summary['pct_very_stable_nullomers']}%") if __name__ == "__main__": main()