statistics.py
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#!/usr/bin/python3.8
import os, pickle, sqlite3, sys
import numpy as np
import pandas as pd
import threading as th
import scipy.stats as st
import matplotlib.pyplot as plt
import matplotlib.cm as cm
import matplotlib.patches as mpatches
import scipy.cluster.hierarchy as sch
from scipy.spatial.distance import squareform
from mpl_toolkits.mplot3d import axes3d
from Bio.Phylo.TreeConstruction import DistanceCalculator
from Bio import AlignIO, SeqIO
from tqdm import tqdm
from functools import partial
from multiprocessing import Pool
from os import path
from collections import Counter
from RNAnet import read_cpu_number, sql_ask_database
path_to_3D_data = "/nhome/siniac/lbecquey/Data/RNA/3D/"
path_to_seq_data = "/nhome/siniac/lbecquey/Data/RNA/sequences/"
if len(sys.argv) > 1:
path_to_3D_data = path.abspath(sys.argv[1])
path_to_seq_data = path.abspath(sys.argv[2])
def reproduce_wadley_results(show=False, carbon=4, sd_range=(1,4)):
"""
Plot the joint distribution of pseudotorsion angles, in a Ramachandran-style graph.
See Wadley & Pyle (2007)
Arguments:
show: True or False, call plt.show() at this end or not
filter_helical: None, "form", "zone", or "both"
None: do not remove helical nucleotide
"form": remove nucleotides if they belong to a A, B or Z form stem
"zone": remove nucleotides falling in an arbitrary zone (see zone argument)
"both": remove nucleotides fulfilling one or both of the above conditions
carbon: 1 or 4, use C4' (eta and theta) or C1' (eta_prime and theta_prime)
sd_range: tuple, set values below avg + sd_range[0] * stdev to 0,
and values above avg + sd_range[1] * stdev to avg + sd_range[1] * stdev.
This removes noise and cuts too high peaks, to clearly see the clusters.
"""
if carbon == 4:
angle = "eta"
xlabel = "$\\eta=C_4'^{i-1}-P^i-C_4'^i-P^{i+1}$"
ylabel = "$\\theta=P^i-C_4'^i-P^{i+1}-C_4'^{i+1}$"
elif carbon == 1:
angle = "eta_prime"
xlabel = "$\\eta'=C_1'^{i-1}-P^i-C_1'^i-P^{i+1}$"
ylabel = "$\\theta'=P^i-C_1'^i-P^{i+1}-C_1'^{i+1}$"
else:
exit("You overestimate my capabilities !")
if not path.isfile(f"data/wadley_kernel_{angle}.npz"):
conn = sqlite3.connect("results/RNANet.db")
df = pd.read_sql(f"""SELECT {angle}, th{angle} FROM nucleotide WHERE puckering="C2'-endo" AND {angle} IS NOT NULL AND th{angle} IS NOT NULL;""", conn)
c2_endo_etas = df[angle].values.tolist()
c2_endo_thetas = df["th"+angle].values.tolist()
df = pd.read_sql(f"""SELECT {angle}, th{angle} FROM nucleotide WHERE form = '.' AND puckering="C3'-endo" AND {angle} IS NOT NULL AND th{angle} IS NOT NULL;""", conn)
c3_endo_etas = df[angle].values.tolist()
c3_endo_thetas = df["th"+angle].values.tolist()
conn.close()
xx, yy = np.mgrid[0:2*np.pi:100j, 0:2*np.pi:100j]
positions = np.vstack([xx.ravel(), yy.ravel()])
values_c3 = np.vstack([c3_endo_etas, c3_endo_thetas])
kernel_c3 = st.gaussian_kde(values_c3)
f_c3 = np.reshape(kernel_c3(positions).T, xx.shape)
values_c2 = np.vstack([c2_endo_etas, c2_endo_thetas])
kernel_c2 = st.gaussian_kde(values_c2)
f_c2 = np.reshape(kernel_c2(positions).T, xx.shape)
# Uncomment to save the data to an archive for later use without the need to recompute
np.savez(f"data/wadley_kernel_{angle}.npz",
c3_endo_e=c3_endo_etas, c3_endo_t=c3_endo_thetas,
c2_endo_e=c2_endo_etas, c2_endo_t=c2_endo_thetas,
kernel_c3=f_c3, kernel_c2=f_c2)
else:
f = np.load(f"data/wadley_kernel_{angle}.npz")
c2_endo_etas = f["c2_endo_e"]
c3_endo_etas = f["c3_endo_e"]
c2_endo_thetas = f["c2_endo_t"]
c3_endo_thetas = f["c3_endo_t"]
f_c3 = f["kernel_c3"]
f_c2 = f["kernel_c2"]
xx, yy = np.mgrid[0:2*np.pi:100j, 0:2*np.pi:100j]
# print(f"[{worker_nbr}]\tKernel computed (or loaded from file).")
# exact counts:
hist_c2, xedges, yedges = np.histogram2d(c2_endo_etas, c2_endo_thetas, bins=int(2*np.pi/0.1), range=[[0, 2*np.pi], [0, 2*np.pi]])
hist_c3, xedges, yedges = np.histogram2d(c3_endo_etas, c3_endo_thetas, bins=int(2*np.pi/0.1), range=[[0, 2*np.pi], [0, 2*np.pi]])
cmap = cm.get_cmap("Jet")
color_values = cmap(hist_c3.ravel()/hist_c3.max())
for x, y, hist, f, l in zip( (c3_endo_etas, c2_endo_etas),
(c3_endo_thetas, c2_endo_thetas),
(hist_c3, hist_c2),
(f_c3, f_c2), ("c3","c2")):
# cut hist and kernel
hist_sup_thr = hist.mean() + sd_range[1]*hist.std()
hist_cut = np.where( hist > hist_sup_thr, hist_sup_thr, hist)
f_sup_thr = f.mean() + sd_range[1]*f.std()
f_low_thr = f.mean() + sd_range[0]*f.std()
f_cut = np.where(f > f_sup_thr, f_sup_thr, f)
f_cut = np.where(f_cut < f_low_thr, 0, f_cut)
levels = [f.mean()+f.std(), f.mean()+2*f.std(), f.mean()+4*f.std()]
# histogram:
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
xpos, ypos = np.meshgrid(xedges[:-1], yedges[:-1], indexing="ij")
ax.bar3d(xpos.ravel(), ypos.ravel(), 0.0, 0.09, 0.09, hist_cut.ravel(), color=color_values, zorder="max")
ax.set_xlabel(xlabel)
ax.set_ylabel(ylabel)
fig.savefig(f"results/figures/wadley_plots/wadley_hist_{angle}_{l}.png")
if show:
fig.show()
# Smoothed joint distribution
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot_surface(xx, yy, f_cut, cmap=cm.get_cmap("coolwarm"), linewidth=0, antialiased=True)
ax.set_xlabel(xlabel)
ax.set_ylabel(ylabel)
fig.savefig(f"results/figures/wadley_plots/wadley_distrib_{angle}_{l}.png")
if show:
fig.show()
# 2D Wadley plot
fig = plt.figure(figsize=(5,5))
ax = fig.gca()
ax.scatter(x, y, s=1, alpha=0.1)
ax.contourf(xx, yy, f_cut, alpha=0.5, cmap=cm.get_cmap("coolwarm"), levels=levels, extend="max")
ax.set_xlabel(xlabel)
ax.set_ylabel(ylabel)
fig.savefig(f"results/figures/wadley_plots/wadley_{angle}_{l}.png")
if show:
fig.show()
# print(f"[{worker_nbr}]\tComputed joint distribution of angles (C{carbon}) and saved the figures.")
def stats_len():
cols = []
lengths = []
conn = sqlite3.connect("results/RNANet.db")
for f in tqdm(fam_list, desc="Chain length by family", position=3, leave=False):
if f in ["RF02540","RF02541","RF02543"]:
cols.append("red") # LSU
elif f in ["RF00177","RF01960","RF01959","RF02542"]:
cols.append("blue") # SSU
elif f in ["RF00001"]:
cols.append("green")
elif f in ["RF00002"]:
cols.append("purple")
elif f in ["RF00005"]:
cols.append("orange")
else:
cols.append("grey")
l = [ x[0] for x in sql_ask_database(conn, f"SELECT COUNT(nt_id) FROM (SELECT chain_id FROM chain WHERE rfam_acc='{f}') NATURAL JOIN nucleotide GROUP BY chain_id;") ]
lengths.append(l)
conn.close()
fig = plt.figure(figsize=(10,3))
ax = fig.gca()
ax.hist(lengths, bins=100, stacked=True, log=True, color=cols, label=fam_list)
ax.set_xlabel("Sequence length (nucleotides)", fontsize=8)
ax.set_ylabel("Number of 3D chains", fontsize=8)
ax.set_xlim(left=-150)
ax.tick_params(axis='both', which='both', labelsize=8)
fig.tight_layout()
fig.subplots_adjust(right=0.78)
filtered_handles = [mpatches.Patch(color='red'), mpatches.Patch(color='white'),
mpatches.Patch(color='blue'), mpatches.Patch(color='white'),
mpatches.Patch(color='green'), mpatches.Patch(color='white'),
mpatches.Patch(color='purple'), mpatches.Patch(color='white'),
mpatches.Patch(color='orange'), mpatches.Patch(color='white'),
mpatches.Patch(color='grey')]
filtered_labels = ['Large Ribosomal Subunits', '(RF02540, RF02541, RF02543)',
'Small Ribosomal Subunits','(RF01960, RF00177)',
'5S rRNA', '(RF00001)',
'5.8S rRNA', '(RF00002)',
'tRNA', '(RF00005)',
'Other']
ax.legend(filtered_handles, filtered_labels, loc='right',
ncol=1, fontsize='small', bbox_to_anchor=(1.3, 0.55))
fig.savefig("results/figures/lengths.png")
# print("[3]\tComputed sequence length statistics and saved the figure.")
def format_percentage(tot, x):
if not tot:
return '0 %'
x = 100*x/tot
if x >= 0.01:
x = "%.2f" % x
elif x == 0:
return "0 %"
else:
x = "<.01"
return x + '%'
def stats_freq():
freqs = {}
for f in fam_list:
freqs[f] = Counter()
conn = sqlite3.connect("results/RNANet.db")
for f in tqdm(fam_list, desc="Nucleotide frequencies", position=4, leave=False):
counts = dict(sql_ask_database(conn, f"SELECT nt_name, COUNT(nt_name) FROM (SELECT chain_id from chain WHERE rfam_acc='{f}') NATURAL JOIN nucleotide GROUP BY nt_name;"))
freqs[f].update(counts)
conn.close()
df = pd.DataFrame()
for f in fam_list:
tot = sum(freqs[f].values())
df = pd.concat([ df, pd.DataFrame([[ format_percentage(tot, x) for x in freqs[f].values() ]], columns=list(freqs[f]), index=[f]) ])
df = df.fillna(0)
df.to_csv("results/frequencies.csv")
# print("[4]\tComputed nucleotide statistics and saved CSV file.")
def stats_pairs():
def line_format(family_data):
return family_data.apply(partial(format_percentage, sum(family_data)))
# Create a Counter() object by family
freqs = {}
for f in fam_list:
freqs[f] = Counter()
if not path.isfile("data/pair_counts.csv"):
conn = sqlite3.connect("results/RNANet.db")
for f in tqdm(fam_list, desc="Leontis-Westhof basepair stats", position=5, leave=False):
# Get comma separated lists of basepairs per nucleotide
interactions = pd.read_sql(f"SELECT paired, pair_type_LW FROM (SELECT chain_id FROM chain WHERE rfam_acc='{f}') NATURAL JOIN nucleotide WHERE pair_type_LW IS NOT NULL AND paired != '0';", conn)
# expand the comma-separated lists in real lists
expanded_list = pd.concat([ pd.Series(row['paired'].split(','), row['pair_type_LW'].split(',')) for _, row in interactions.iterrows() ]
).reset_index(drop=True)
# keep only intra-chain interactions
expanded_list = expanded_list[ expanded_list.paired != '0' ].drop("paired")
# Count each pair type
vcnts = expanded_list.value_counts()
# Add these new counts to the family's counter
freqs[f].update(dict(vcnts))
conn.close()
# Create the output dataframe
df = pd.DataFrame()
for f in fam_list:
df = pd.concat([ df, pd.DataFrame([[ x for x in freqs[f].values() ]], columns=list(freqs[f]), index=[f]) ])
df = df.fillna(0)
# save
df.to_csv("data/pair_counts.csv")
else:
df = pd.read_csv("data/pair_counts.csv", index_col=0)
# Remove not very well defined pair types (not in the 12 LW types)
col_list = [ x for x in df.columns if '.' in x ]
df['other'] = df[col_list].sum(axis=1)
df.drop(col_list, axis=1, inplace=True)
# drop duplicate types
# The twelve Leontis-Westhof types are
# cWW cWH cWS cHH cHS cSS (do not count cHW cSW and cSH, they are the same as their opposites)
# tWW tWH tWS tHH tHS tSS (do not count tHW tSW and tSH, they are the same as their opposites)
df.drop([ "cHW", "tHW", "cSW", "tSW", "cHS", "tHS"])
df.loc[ ["cWW", "tWW", "cHH", "tHH", "cSS", "tSS", "other"] ] /= 2.0
# Compute total row
total_series = df.sum(numeric_only=True).rename("TOTAL")
df = df.append(total_series)
# format as percentages
df = df.apply(line_format, axis=1)
# reorder columns
df.sort_values("TOTAL", axis=1, inplace=True, ascending=False)
# Save to CSV
df.to_csv("results/pairings.csv")
# Plot barplot of overall types
total_series.sort_values(ascending=False, inplace=True)
total_series.apply(lambda x: x/2.0) # each interaction was counted twice because one time per extremity
ax = total_series.plot(figsize=(5,3), kind='bar', log=True, ylim=(1e4,5000000) )
ax.set_ylabel("Number of observations")
plt.subplots_adjust(bottom=0.2, right=0.99)
plt.savefig("results/figures/pairings.png")
# print("[5]\tComputed nucleotide statistics and saved CSV and PNG file.")
def to_dist_matrix(f):
if path.isfile("data/"+f+".npy"):
return 0
dm = DistanceCalculator('identity')
with open(path_to_seq_data+"realigned/"+f+"++.afa") as al_file:
al = AlignIO.read(al_file, "fasta")[-len(mappings_list[f]):]
idty = dm.get_distance(al).matrix # list of lists
del al
l = len(idty)
np.save("data/"+f+".npy", np.array([ idty[i] + [0]*(l-1-i) if i<l-1 else idty[i] for i in range(l) ]))
del idty
return 0
def seq_idty():
conn = sqlite3.connect("results/RNANet.db")
famlist = [ x[0] for x in sql_ask_database(conn, "SELECT rfam_acc from (SELECT rfam_acc, COUNT(chain_id) as n_chains FROM family NATURAL JOIN chain GROUP BY rfam_acc) WHERE n_chains > 1 ORDER BY rfam_acc ASC;") ]
ignored = [ x[0] for x in sql_ask_database(conn, "SELECT rfam_acc from (SELECT rfam_acc, COUNT(chain_id) as n_chains FROM family NATURAL JOIN chain GROUP BY rfam_acc) WHERE n_chains < 2 ORDER BY rfam_acc ASC;") ]
if len(ignored):
print("Idty matrices: Ignoring families with only one chain:", " ".join(ignored)+'\n')
# compute distance matrices
p = Pool(processes=8)
pbar = tqdm(total=len(famlist), desc="Families idty matrices", position=0, leave=False)
for _ in p.imap_unordered(to_dist_matrix, famlist):
pbar.update(1)
pbar.close()
p.close()
p.join()
# load them
fam_arrays = []
for f in famlist:
if path.isfile("data/"+f+".npy"):
fam_arrays.append(np.load("data/"+f+".npy"))
else:
fam_arrays.append([])
fig, axs = plt.subplots(5,13, figsize=(15,9))
axs = axs.ravel()
[axi.set_axis_off() for axi in axs]
for f, D, ax in zip(famlist, fam_arrays, axs):
if not len(D): continue
if D.shape[0] > 2: # Cluster only if there is more than 2 sequences to organize
D = D + D.T # Copy the lower triangle to upper, to get a symetrical matrix
condensedD = squareform(D)
# Compute basic dendrogram by Ward's method
Y = sch.linkage(condensedD, method='ward')
Z = sch.dendrogram(Y, orientation='left', no_plot=True)
# Reorganize rows and cols
idx1 = Z['leaves']
D = D[idx1,:]
D = D[:,idx1[::-1]]
im = ax.matshow(1.0 - D, vmin=0, vmax=1, origin='lower') # convert to identity matrix 1 - D from distance matrix D
ax.set_title(f + "\n(" + str(len(mappings_list[f]))+ " chains)")
fig.tight_layout()
fig.subplots_adjust(wspace=0.1, hspace=0.3)
fig.colorbar(im, ax=axs[-1], shrink=0.8)
fig.savefig(f"results/figures/distances.png")
# print("[6]\tComputed identity matrices and saved the figure.")
if __name__ == "__main__":
#################################################################
# LOAD ALL FILES
#################################################################
os.makedirs("results/figures/wadley_plots/", exist_ok=True)
print("Loading mappings list...")
conn = sqlite3.connect("results/RNANet.db")
fam_list = [ x[0] for x in sql_ask_database(conn, "SELECT rfam_acc from family ORDER BY rfam_acc ASC;") ]
mappings_list = {}
for k in fam_list:
mappings_list[k] = [ x[0] for x in sql_ask_database(conn, f"SELECT chain_id from chain WHERE rfam_acc='{k}';") ]
conn.close()
#################################################################
# Define threads for the tasks
#################################################################
threads = [
th.Thread(target=reproduce_wadley_results, kwargs={'carbon': 1}),
th.Thread(target=reproduce_wadley_results, kwargs={'carbon': 4}),
th.Thread(target=stats_len),
th.Thread(target=stats_freq),
th.Thread(target=mappings_list),
th.Thread(target=seq_idty)
]
for t in threads:
t.start()
for t in threads:
t.join()