Accurate structure prediction of biomolecular interactions with AlphaFold 3 (300 lines of code for AlphaFold3)

Josh Abramson, Jonas Adler, Jack Dunger, Richard Evans, Tim Green, Alexander Pritzel, Olaf Ronneberger, Lindsay Willmore, Andrew J. Ballard, Joshua Bambrick, Sebastian W. Bodenstein, David A. Evans, Chia-Chun Hung, Michael O’Neill, David Reiman, Kathryn Tunyasuvunakool, Zachary Wu, Akvilė Žemgulytė, Eirini Arvaniti, Charles Beattie, Ottavia Bertolli, Alex Bridgland, Alexey Cherepanov, Miles Congreve, Alexander I. Cowen-Rivers, Andrew Cowie, Michael Figurnov, Fabian B. Fuchs, Hannah Gladman, Rishub Jain, Yousuf A. Khan, Caroline M. R. Low, Kuba Perlin, Anna Potapenko, Pascal Savy, Sukhdeep Singh, Adrian Stecula, Ashok Thillaisundaram, Catherine Tong, Sergei Yakneen, Ellen D. Zhong, Michal Zielinski, Augustin Žídek, Victor Bapst, Pushmeet Kohli, Max Jaderberg, Demis Hassabis & John M. Jumper
The official code repo is at https://github.com/google-deepmind/alphafold This blog post contains a single script PoC (battery included) to illustrate the core of AlphaFold3 idea for educational purposes.

The groundbreaking paper “Accurate structure prediction of biomolecular interactions with AlphaFold 3” by Google DeepMind introduces AlphaFold 3 (AF3), showcasing significant advancements in predicting complex biomolecular interactions with unprecedented accuracy. AF3 builds upon its predecessors by incorporating an innovative diffusion-based architecture and a novel “pairformer” module, which collectively enhance the capability to predict interactions involving proteins, nucleic acids, ligands, and antibodies. These advancements not only reduce the reliance on multiple sequence alignments (MSAs) but also streamline the prediction process by accurately modeling raw atom coordinates. This unified framework exhibits robust generalization across diverse biomolecular complexes, outperforming specialized tools and setting a new standard in the field. Despite the model’s impressive performance, the authors candidly discuss its limitations, including challenges with stereochemistry and dynamic behavior predictions, emphasizing areas ripe for further research. By addressing these issues, future iterations could further refine AF3’s applicability, making it an invaluable tool in drug discovery and biomedical research. Overall, this paper is a must-read for researchers and graduate students, as it paves the way for enhanced understanding of molecular biology and offers insights into innovative methodologies that could transform computational biology.

Mind Map

graph LR
root["Accurate structure prediction of biomolecular interactions with AlphaFold 3"]
root --> branch1["Research Question/Objective"]
root --> branch2["Methodology"]
root --> branch3["Key Findings/Contributions"]
root --> branch4["Theoretical Framework"]
root --> branch5["Data and Analysis"]
root --> branch6["Results and Discussion"]
root --> branch7["Implications"]
root --> branch8["Limitations"]
root --> branch9["Future Research Directions"]
branch2 -.-> leaf1["Network architecture and training"]
branch2 -.-> leaf2["Accuracy across complex types"]
branch2 -.-> leaf3["Predicted confidences track accuracy"]
branch2 -.-> leaf4["Methods"]
branch3 -.-> leaf5["Enhanced prediction accuracy"]
branch3 -.-> leaf6["Innovation in network architecture"]
branch3 -.-> leaf7["Generalization and versatility"]
branch5 -.-> leaf8["Benchmarks and performance metrics"]
branch6 -.-> leaf9["Figures and diagrams"]
branch8 -.-> leaf10["Handling of stereochemistry"]
branch8 -.-> leaf11["Dynamic state predictions"]
branch9 -.-> leaf12["Enhanced stereochemistry handling"]
branch9 -.-> leaf13["Real-world benchmarks"]

Highlights explained

1. Enhanced Prediction Accuracy

Explanation

The paper introduces AlphaFold 3 (AF3), which demonstrates substantial improvements in prediction accuracy for complex biomolecular interactions, including protein–ligand, protein–nucleic acid, and antibody–antigen interactions.

Significance

This advancement is significant because it extends the capabilities of the AlphaFold series from merely predicting protein structures to accurately modeling a wide range of biomolecular interactions. This increased accuracy can potentially streamline drug discovery and our understanding of molecular biology.

Context and Impact

AF3 outperforms specialized tools previously used for these tasks, indicating a leap forward in the field. By reducing the reliance on multiple sequence alignments (MSAs), AF3 also demonstrates more robust generalization capabilities.

2. Innovation in Network Architecture

Explanation

The paper highlights the introduction of the “pairformer” and diffusion module in AF3. These components replace the evoformer in AF2, enhancing the model’s ability to predict with fewer limitations.

Significance

This architectural change allows AF3 to predict raw atom coordinates more effectively, accommodating diverse chemical structures. The diffusion module’s generative training aids in learning both local stereochemistry and large-scale structural configurations.

Context and Impact

This innovation is pivotal because it simplifies and enhances the prediction process, enabling AF3 to outperform traditional methods that rely heavily on torsion-based parameterization and other complex constraints.

3. Generalization Across Biomolecular Complex Types

Explanation

AF3 is capable of making accurate predictions across a variety of biomolecular complexes, including proteins, nucleic acids, ligands, ions, and modified residues.

Significance

This generalization is critical as it showcases the model’s versatility and robust performance across different biological contexts, which is essential for broad applications in biomedical research and therapeutic design.

Context and Impact

The ability to generalize over various complex types without sacrificing accuracy signifies a major advancement over previous models and specialized tools. This broad applicability can accelerate multifaceted research areas, from understanding disease mechanisms to developing new drugs.

4. Improved Confidence Measures

Explanation

The paper discusses how AF3’s confidence measures correlate strongly with the accuracy of its predictions. This means that the model’s internal confidence scores are reliable indicators of actual performance.

Significance

The significance lies in the fact that researchers can trust the model’s confidence scores when evaluating predictions, thereby reducing the need for extensive experimental validation. This reliability streamlines research workflows and enhances trust in computational predictions.

Context and Impact

Accurate confidence measures are essential in practical applications, allowing researchers to prioritize high-confidence predictions for further study. This feature can significantly impact fields like drug discovery, where resources are often limited.

Code

The PoC code include a minimal AlphaFold3 implementation to highlight its new approach, along with the comparison to a simple CNN model and an attention-based model. An example of molecular structure is included for educational purposes only. Please refer to the official implementation for its engineering and scalability optimization. The PoC code should produce a learning curve plot like the following:

Bash
pip install torch numpy biopython rdkit
Python
import torch
import torch.nn as nn
import torch.nn.functional as F
import numpy as np
from io import StringIO
from Bio import SeqIO
from Bio.PDB import PDBParser
from rdkit import Chem
from matplotlib import pyplot as plt

# Hard-coded PDB data (simplified Crambin structure)
PDB_DATA = """
ATOM      1  N   THR A   1      17.047  14.099   3.625  1.00 13.79      1CRN N
ATOM      2  CA  THR A   1      16.967  12.784   4.338  1.00 10.80      1CRN C
ATOM      3  C   THR A   1      15.685  12.755   5.133  1.00  9.19      1CRN C
ATOM      4  O   THR A   1      15.268  13.825   5.594  1.00  9.85      1CRN O
ATOM      5  N   THR A   2      15.115  11.555   5.265  1.00  7.81      1CRN N
ATOM      6  CA  THR A   2      13.856  11.469   6.066  1.00  8.31      1CRN C
ATOM      7  C   THR A   2      14.164  10.785   7.379  1.00  5.80      1CRN C
ATOM      8  O   THR A   2      14.993   9.862   7.443  1.00  6.94      1CRN O
ATOM      9  N   CYS A   3      13.488  11.241   8.417  1.00  5.24      1CRN N
ATOM     10  CA  CYS A   3      13.660  10.707   9.787  1.00  5.39      1CRN C
ATOM     11  C   CYS A   3      12.269  10.431  10.323  1.00  4.45      1CRN C
ATOM     12  O   CYS A   3      11.325  11.161  10.185  1.00  5.05      1CRN O
ATOM     13  N   CYS A   4      12.019   9.354  11.085  1.00  3.90      1CRN N
ATOM     14  CA  CYS A   4      10.646   9.093  11.640  1.00  4.24      1CRN C
ATOM     15  C   CYS A   4      10.654   9.329  13.139  1.00  3.72      1CRN C
ATOM     16  O   CYS A   4      11.659   9.296  13.850  1.00  4.13      1CRN O
ATOM     17  N   PRO A   5       9.561   9.677  13.604  1.00  3.96      1CRN N
ATOM     18  CA  PRO A   5       9.448  10.102  15.035  1.00  4.25      1CRN C
ATOM     19  C   PRO A   5      10.000   9.130  16.069  1.00  4.27      1CRN C
ATOM     20  O   PRO A   5       9.685   9.241  17.253  1.00  4.94      1CRN O
END
"""

# Hard-coded MSA data in FASTA format
MSA_DATA = """
>1CRN:A|PDBID|CHAIN|SEQUENCE
TTCCPSIVARSNFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
>seq1
TTCCPSIVARSNFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
>seq2
TTCCPSIVARSNFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
>seq3
TTCCPSIVARSNFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
>seq4
TTCCPSIVARSNFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
>seq5
TTCCPSIVARSDFNVCRLPGTPEALCATYTGCIIIPGATCPGDYAN
"""

def process_msa(msa_data):
    """
    Process Multiple Sequence Alignment (MSA) data.
    
    This function converts the MSA data into a tensor representation,
    which is crucial for capturing evolutionary information in AlphaFold 3.
    MSAs provide valuable information about conserved regions and
    co-evolving residues, which helps in predicting protein structure.
    """
    msa_file = StringIO(msa_data)
    sequences = list(SeqIO.parse(msa_file, "fasta"))
    msa_tensor = torch.zeros(len(sequences), len(sequences[0]))
    for i, seq in enumerate(sequences):
        for j, aa in enumerate(seq.seq):
            msa_tensor[i, j] = ord(aa) - ord('A')
    return msa_tensor

class BasicCNNModel(nn.Module):
    """
    A basic CNN model for comparison.
    
    This model serves as a baseline to demonstrate the improvements
    achieved by more advanced architectures like AlphaFold 3.
    """
    def __init__(self, seq_length, num_residues, embedding_dim):
        super(BasicCNNModel, self).__init__()
        self.embedding = nn.Embedding(26, embedding_dim)
        self.conv1 = nn.Conv1d(embedding_dim, 32, kernel_size=3, padding=1)
        self.conv2 = nn.Conv1d(32, 64, kernel_size=3, padding=1)
        self.fc1 = nn.Linear(64 * seq_length, 128)
        self.fc2 = nn.Linear(128, num_residues * 3)
        self.dropout = nn.Dropout(0.2)
    
    def forward(self, x):
        x = self.embedding(x.long())
        x = x.transpose(1, 2)
        x = F.relu(self.conv1(x))
        x = F.relu(self.conv2(x))
        x = x.view(x.size(0), -1)
        x = self.dropout(x)
        x = F.relu(self.fc1(x))
        x = self.dropout(x)
        x = self.fc2(x)
        return x.view(x.size(0), -1, 3)

class SimpleAttentionModel(nn.Module):
    """
    A simple attention-based model for comparison.
    
    This model incorporates basic attention mechanisms, showing a step
    towards more sophisticated architectures like AlphaFold 3.
    """
    def __init__(self, seq_length, num_residues, embedding_dim):
        super(SimpleAttentionModel, self).__init__()
        self.embedding = nn.Embedding(26, embedding_dim)
        self.attention = nn.MultiheadAttention(embedding_dim, 4)
        self.fc1 = nn.Linear(embedding_dim, 128)
        self.fc2 = nn.Linear(128, 64)
        self.fc3 = nn.Linear(64 * seq_length, num_residues * 3)
        self.dropout = nn.Dropout(0.2)
    
    def forward(self, x):
        x = self.embedding(x.long())
        x = x.transpose(0, 1)
        x, _ = self.attention(x, x, x)
        x = x.transpose(0, 1)
        x = self.dropout(x)
        x = F.relu(self.fc1(x))
        x = self.dropout(x)
        x = F.relu(self.fc2(x))
        x = x.view(x.size(0), -1)
        x = self.fc3(x)
        return x.view(x.size(0), -1, 3)

class Pairformer(nn.Module):
    """
    Implementation of the Pairformer module, a key component of AlphaFold 3.
    
    The Pairformer replaces the Evoformer from AlphaFold 2, providing a more
    efficient way to process pairwise representations. This module is crucial
    for capturing long-range dependencies in protein structures.
    """
    def __init__(self, dim):
        super(Pairformer, self).__init__()
        self.attention = nn.MultiheadAttention(dim, 4)
        self.mlp = nn.Sequential(
            nn.Linear(dim, dim * 4),
            nn.ReLU(),
            nn.Linear(dim * 4, dim)
        )
        self.norm1 = nn.LayerNorm(dim)
        self.norm2 = nn.LayerNorm(dim)

    def forward(self, x):
        x = x + self.attention(x, x, x)[0]
        x = self.norm1(x)
        x = x + self.mlp(x)
        x = self.norm2(x)
        return x

class EnhancedDiffusionModule(nn.Module):
    """
    Implementation of the Enhanced Diffusion Module, inspired by AlphaFold 3.
    
    This module incorporates the key innovations of AlphaFold 3:
    1. Diffusion-based generation of protein structures
    2. Pairformer for efficient processing of pairwise representations
    3. Confidence prediction for each residue
    
    The diffusion approach allows for more accurate and diverse structure predictions,
    while the confidence prediction helps in assessing the reliability of the model's output.
    """
    def __init__(self, seq_length, num_residues, embedding_dim, num_pairformer_layers=3):
        super(EnhancedDiffusionModule, self).__init__()
        self.seq_length = seq_length
        self.num_residues = num_residues
        self.embedding_dim = embedding_dim
        
        # MSA embedding to capture evolutionary information
        self.msa_embedding = nn.Embedding(26, embedding_dim)
        
        # Pairformer layers for processing pairwise representations
        self.pairformers = nn.ModuleList([Pairformer(embedding_dim) for _ in range(num_pairformer_layers)])
        
        # Encoder to process input coordinates and MSA information
        self.encoder = nn.Sequential(
            nn.Linear(num_residues * 3 + seq_length * embedding_dim, embedding_dim * 4),
            nn.ReLU(),
            nn.Linear(embedding_dim * 4, embedding_dim * num_residues)
        )
        
        # Decoder to generate 3D coordinates
        self.decoder = nn.Sequential(
            nn.Linear(embedding_dim * num_residues, embedding_dim * 4),
            nn.ReLU(),
            nn.Linear(embedding_dim * 4, num_residues * 3)
        )
        
        # Confidence predictor to assess the reliability of predictions
        self.confidence_predictor = nn.Sequential(
            nn.Linear(embedding_dim * num_residues, embedding_dim * 2),
            nn.ReLU(),
            nn.Linear(embedding_dim * 2, num_residues)
        )
        
    def forward(self, x, msa, t):
        batch_size = x.shape[0]
        x_flat = x.view(batch_size, -1)
        
        # Process MSA information
        msa_embed = self.msa_embedding(msa.long()).mean(dim=0)
        combined = torch.cat([x_flat, msa_embed.flatten().unsqueeze(0).expand(batch_size, -1)], dim=1)
        
        # Encode input
        h = self.encoder(combined)
        
        # Apply Pairformer layers
        h = h.view(batch_size, self.num_residues, self.embedding_dim)
        for pairformer in self.pairformers:
            h = pairformer(h)
        h = h.view(batch_size, -1)
        
        # Add noise for diffusion process
        noise = torch.randn_like(h) * torch.sqrt(t.view(-1, 1))
        h_noisy = h + noise
        
        # Decode to generate 3D coordinates
        x_pred = self.decoder(h_noisy)
        x_pred = x_pred.view(batch_size, self.num_residues, 3)
        
        # Predict confidence scores
        confidence = self.confidence_predictor(h_noisy)
        confidence = torch.sigmoid(confidence)
        
        return x_pred, confidence

def diffusion_loss(model, x_0, msa, num_timesteps=1000):
    """
    Compute the diffusion loss for training the AlphaFold 3 inspired model.
    
    This loss function implements the diffusion process, which allows the model
    to learn a gradual denoising of protein structures. It also incorporates
    a confidence loss to improve the model's uncertainty estimation.
    """
    batch_size = x_0.shape[0]
    t = torch.randint(0, num_timesteps, (batch_size,), device=x_0.device).float() / num_timesteps
    
    # Add noise to the input coordinates
    noise = torch.randn_like(x_0)
    x_noisy = x_0 + noise * torch.sqrt(t.view(-1, 1, 1))
    
    # Generate predictions and confidence scores
    x_pred, confidence = model(x_noisy, msa, t)
    
    # Compute reconstruction loss
    reconstruction_loss = F.mse_loss(x_pred, x_0)
    
    # Compute confidence loss
    confidence_loss = F.mse_loss(confidence, torch.exp(-reconstruction_loss.detach()).mean().expand_as(confidence))
    
    # Combine losses
    total_loss = reconstruction_loss + 0.1 * confidence_loss
    return total_loss

def load_protein_structure(pdb_data):
    """
    Load protein structure from PDB data.
    
    This function parses PDB data to extract 3D coordinates of Cα atoms,
    which are used as the ground truth for training and evaluation.
    """
    parser = PDBParser()
    structure = parser.get_structure("protein", StringIO(pdb_data))
    coords = []
    for model in structure:
        for chain in model:
            for residue in chain:
                if residue.get_id()[0] == ' ':  # Check if it's a standard amino acid
                    coords.append(residue['CA'].get_coord())
    return np.array(coords)

def coords_to_rdkit_mol(coords, residue_names):
    """
    Convert coordinates to RDKit molecule object.
    
    This function is not directly related to AlphaFold 3 but can be useful
    for visualizing or further processing the predicted structures.
    """
    mol = Chem.RWMol()
    for i, (coord, res_name) in enumerate(zip(coords, residue_names)):
        atom = Chem.Atom(6)  # Carbon atom as placeholder
        atom.SetProp("name", f"{res_name}_CA")
        atom_idx = mol.AddAtom(atom)
        mol.GetConformer().SetAtomPosition(atom_idx, coord)
    return mol

def train_and_evaluate(model, x_0, msa, num_epochs=1000):
    """
    Train and evaluate the given model.
    
    This function implements the training loop for all models, including
    the AlphaFold 3 inspired model. It uses different loss functions
    depending on the model type, showcasing the unique aspects of
    training a diffusion-based model compared to traditional approaches.
    """
    optimizer = torch.optim.Adam(model.parameters(), lr=1e-3, weight_decay=1e-5)
    losses = []

    for epoch in range(num_epochs):
        optimizer.zero_grad()
        if isinstance(model, EnhancedDiffusionModule):
            # For the AlphaFold 3 inspired model, use the diffusion loss
            loss = diffusion_loss(model, x_0, msa)
        else:
            # For other models, use a simple MSE loss
            pred = model(msa[0].unsqueeze(0))
            loss = F.mse_loss(pred, x_0)
        loss.backward()
        optimizer.step()
        losses.append(loss.item())
        
        if (epoch + 1) % 100 == 0:
            print(f"Epoch {epoch+1}/{num_epochs}, Loss: {loss.item():.4f}")
    
    return losses


if __name__ == "__main__":
    # Load the hard-coded protein structure
    coords = load_protein_structure(PDB_DATA)
    num_residues = len(coords)
    
    # Process the hard-coded MSA
    msa = process_msa(MSA_DATA)
    seq_length = msa.shape[1]
    
    # Convert coordinates to tensor
    x_0 = torch.tensor(coords, dtype=torch.float32).unsqueeze(0)  # Add batch dimension
    
    print(f"Number of residues: {num_residues}")
    print(f"MSA shape: {msa.shape}")
    print(f"Coordinates shape: {x_0.shape}")
    
    # Create and train models
    embedding_dim = 128
    cnn_model = BasicCNNModel(seq_length, num_residues, embedding_dim)
    attention_model = SimpleAttentionModel(seq_length, num_residues, embedding_dim)
    alphafold_model = EnhancedDiffusionModule(seq_length, num_residues, embedding_dim)
    
    print("Training CNN Model:")
    cnn_losses = train_and_evaluate(cnn_model, x_0, msa)
    
    print("\nTraining Simple Attention Model:")
    attention_losses = train_and_evaluate(attention_model, x_0, msa)
    
    print("\nTraining AlphaFold-inspired Model:")
    alphafold_losses = train_and_evaluate(alphafold_model, x_0, msa)
    
    # Plot learning curves
    plt.figure(figsize=(10, 6))
    plt.plot(cnn_losses, label='CNN Model')
    plt.plot(attention_losses, label='Simple Attention Model')
    plt.plot(alphafold_losses, label='AlphaFold-inspired Model')
    plt.xlabel('Epoch')
    plt.ylabel('Loss')
    plt.title('Learning Curves for Different Models')
    plt.legend()
    plt.yscale('log')
    plt.savefig('learning_curves.png')
    plt.close()
    
    print("\nLearning curves have been saved to 'learning_curves.png'")
    
    # Generate predictions
    with torch.no_grad():
        cnn_pred = cnn_model(msa[0].unsqueeze(0))
        attention_pred = attention_model(msa[0].unsqueeze(0))
        # For the AlphaFold-inspired model, we need to provide noisy input and time step
        x_noisy = torch.randn_like(x_0)
        t = torch.ones(1, device=x_0.device)
        alphafold_pred, confidence = alphafold_model(x_noisy, msa, t)
    
    # Calculate final MSE for each model
    cnn_mse = F.mse_loss(cnn_pred, x_0).item()
    attention_mse = F.mse_loss(attention_pred, x_0).item()
    alphafold_mse = F.mse_loss(alphafold_pred, x_0).item()
    
    print(f"\nFinal MSE:")
    print(f"CNN Model: {cnn_mse:.4f}")
    print(f"Simple Attention Model: {attention_mse:.4f}")
    print(f"AlphaFold-inspired Model: {alphafold_mse:.4f}")
    
    print("\nNote: The AlphaFold-inspired model also provides confidence scores for its predictions.")

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