File size: 4,357 Bytes
c17cba8
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
# From Nick Polizzi
import numpy as np
from collections import defaultdict
import prody as pr
import os

from datasets.constants import chi, atom_order, aa_long2short, aa_short2aa_idx, aa_idx2aa_short


def get_dihedral_indices(resname, chi_num):
    """Return the atom indices for the specified dihedral angle.
    """
    if resname not in chi:
        return np.array([np.nan]*4)
    if chi_num not in chi[resname]:
        return np.array([np.nan]*4)
    return np.array([atom_order[resname].index(x) for x in chi[resname][chi_num]])


dihedral_indices = defaultdict(list)
for aa in atom_order.keys():
    for i in range(1, 5):
        inds = get_dihedral_indices(aa, i)
        dihedral_indices[aa].append(inds)
    dihedral_indices[aa] = np.array(dihedral_indices[aa])


def vector_batch(a, b):
    return a - b


def unit_vector_batch(v):
    return v / np.linalg.norm(v, axis=1, keepdims=True)


def dihedral_angle_batch(p):
    b0 = vector_batch(p[:, 0], p[:, 1])
    b1 = vector_batch(p[:, 1], p[:, 2])
    b2 = vector_batch(p[:, 2], p[:, 3])
    
    n1 = np.cross(b0, b1)
    n2 = np.cross(b1, b2)
    
    m1 = np.cross(n1, b1 / np.linalg.norm(b1, axis=1, keepdims=True))
    
    x = np.sum(n1 * n2, axis=1)
    y = np.sum(m1 * n2, axis=1)
    
    deg = np.degrees(np.arctan2(y, x))

    deg[deg < 0] += 360

    return deg


def batch_compute_dihedral_angles(sidechains):
    sidechains_np = np.array(sidechains)
    dihedral_angles = dihedral_angle_batch(sidechains_np)
    return dihedral_angles


def get_coords(prody_pdb):
    resindices = sorted(set(prody_pdb.ca.getResindices()))
    coords = np.full((len(resindices), 14, 3), np.nan)
    for i, resind in enumerate(resindices):
        sel = prody_pdb.select(f'resindex {resind}')
        resname = sel.getResnames()[0]
        for j, name in enumerate(atom_order[aa_long2short[resname] if resname in aa_long2short else 'X']):
            sel_resnum_name = sel.select(f'name {name}')
            if sel_resnum_name is not None:
                coords[i, j, :] = sel_resnum_name.getCoords()[0]
            else:
                coords[i, j, :] = [np.nan, np.nan, np.nan]
    return coords


def get_onehot_sequence(seq):
    onehot = np.zeros((len(seq), 20))
    for i, aa in enumerate(seq):
        idx = aa_short2aa_idx[aa] if aa in aa_short2aa_idx else 7 # 7 is the index for GLY
        onehot[i, idx] = 1
    return onehot


def get_dihedral_indices(onehot_sequence):
    return np.array([dihedral_indices[aa_idx2aa_short[aa_idx]] for aa_idx in np.where(onehot_sequence)[1]])


def _get_chi_angles(coords, indices):
    X = coords
    Y = indices.astype(int)
    N = coords.shape[0]
    mask = np.isnan(indices)
    Y[mask] = 0
    Z = X[np.arange(N)[:, None, None], Y, :]
    Z[mask] = np.nan
    chi_angles = batch_compute_dihedral_angles(Z.reshape(-1, 4, 3)).reshape(N, 4)
    return chi_angles


def get_chi_angles(coords, seq, return_onehot=False):
    """

    Parameters
    ----------
    prody_pdb : prody.AtomGroup
        prody pdb object or selection
    return_coords : bool, optional
        return coordinates of prody_pdb in (N, 14, 3) array format, by default False
    return_onehot : bool, optional
        return one-hot sequence of prody_pdb, by default False

    Returns
    -------
    numpy array of shape (N, 4)
        Array contains chi angles of sidechains in row-order of residue indices in prody_pdb.
        If a chi angle is not defined for a residue, due to missing atoms or GLY / ALA, it is set to np.nan.
    """
    onehot = get_onehot_sequence(seq)
    dihedral_indices = get_dihedral_indices(onehot)
    if return_onehot:
        return _get_chi_angles(coords, dihedral_indices), onehot
    return _get_chi_angles(coords, dihedral_indices)


def test_get_chi_angles(print_chi_angles=False):
    # need internet connection of '6w70.pdb' in working directory
    pdb = pr.parsePDB('6w70')
    prody_pdb = pdb.select('chain A')
    chi_angles = get_chi_angles(prody_pdb)
    assert chi_angles.shape == (prody_pdb.ca.numAtoms(), 4)
    assert chi_angles[0,0] < 56.0 and chi_angles[0,0] > 55.0
    print('test_get_chi_angles passed')
    try:
        os.remove('6w70.pdb.gz')
    except:
        pass
    if print_chi_angles:
        print(chi_angles)
    return True


if __name__ == '__main__':
    test_get_chi_angles(print_chi_angles=True)