Generating Cartesian coordinates of each atom in protein chain from the internal coordinates using python or some software
To generate Cartesian coordinates of each atom in a protein chain from internal coordinates, you can use a programming language like Python or utilize specialized software such as PyMOL or Biopython.
Here is an example implementation using Python and the Bio. PDB module from Biopython:
1. Install Biopython by running the command: `pip install biopython`
2. Create a Python script and import the required modules:
“`python
from Bio. PDB import PDBParser, PDBIO, PDBModel
import numpy as np
“`
3. Load the protein structure from a PDB file using the PDBParser:
“`python
parser = PDBParser()
structure = parser. get_structure(‘protein’, ‘protein. pdb’) # Replace ‘protein. pdb’ with your input PDB file name
“`
4. Extract the first model and chain from the structure (assuming it’s a single chain protein):
“`python
model = structure[0]
chain = model[‘A’] # Replace ‘A’ with your desired chain identifier
“`
5. Create a dictionary to store the atom coordinates:
“`python
cartesian_coordinates = {}
“`
6. Iterate through each residue in the chain:
“`python
for residue in chain:
res_id = residue. get_id()[1]
for atom in residue:
atom_id = atom. get_name()
internal_coordinates = atom. get_vector(). get_array()
# Convert internal coordinates to Cartesian coordinates
cartesian_coordinates[(res_id, atom_id)] = internal_to_cartesian(internal_coordinates)
“`
7. Define a helper function to convert internal coordinates (lengths, angles, and dihedral) to Cartesian coordinates:
“`python
def internal_to_cartesian(internal_coordinates):
# Implement conversion logic using NumPy and trigonometric functions
#. cartesian_coordinates =. # Calculated Cartesian coordinates
return cartesian_coordinates
“`
8. Finally, print or save the Cartesian coordinates of each atom:
“`python
for (res_id, atom_id), coordinates in cartesian_coordinates. items():
print(f’Residue {res_id}, Atom {atom_id}: {coordinates}’)
“`
Remember to complete step 7 by implementing the conversion logic from internal coordinates to Cartesian coordinates. This involves calculating the x, y, and z coordinates based on lengths, angles, dihedral angles, and the relationships between neighboring atoms
Note: If you prefer using PyMOL, it provides a more interactive and flexible environment for visualizing and manipulating protein structures, and it can generate Cartesian coordinates as well. Simply load the structure in PyMOL and use built-in commands or scripting functions to obtain the desired Cartesian coordinates
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