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Learning to engineer protein flexibility
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Builds sequence- and structure-based protein flexibility predictors (Flexpert-Seq/3D) on ProtTrans with LoRA and fine-tunes ProteinMPNN with a flexibility loss (Flexpert-Design) to steer inverse folding toward increased flexibility.
Problem
Generative inverse folding models ignore protein flexibility, and flexibility data (experimental B-factors, MD RMSF, ENM estimates) is scarce, heterogeneous, and costly, so there is no fast way to predict or engineer per-residue flexibility in designed proteins.
Approach
Train a fast protein-language-model regressor (ProtTrans with LoRA, optionally with ANM-based CNN adaptor) to predict MD-derived RMSF, then use it as a differentiable flexibility loss (via straight-through Gumbel-Softmax) to fine-tune a flexibility-conditioned ProteinMPNN so it can be steered to increase flexibility in chosen segments.
Key results
- Flexpert-3D reaches PCC 0.83 with MD RMSF on ATLAS test (139 proteins), vs 0.76 for ANM and GNM, with an estimated upper bound of 0.88.
- Flexpert-Design achieves median enrichment ratio 1.52 and 83% flexibility-increasing mutations, vs 1.07 and 61% for ProteinMPNN on CATH4.3 with |S|=50, tau=5.
- Flexpert-Design sequence recovery drops only about one point (0.49 to 0.48) relative to ProteinMPNN at theta=0.8.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Flexpert-Seq instead of AlphaFold2 for sequence-only flexibility prediction | ATLAS test set · ATLAS test set | PCC to MD RMSF: 0.72 -> 0.78 | Helped |
| Add backbone structure and ANM features to the sequence-based predictor | Flexpert-Seq · ATLAS test set | PCC to MD RMSF: 0.78 -> 0.83 | Helped |
| Use Flexpert-3D instead of ANM for structure-based flexibility prediction | ATLAS test set · ATLAS test set | PCC to MD RMSF: 0.76 -> 0.83 | Helped |
| Provide flexibility instructions and train Flexpert-Design with native flexibility pseudolabels | ProteinMPNN · CATH4.3 test set, |S|=50, τ=5 | Median enrichment ratio: 1.07 -> 1.43 | Helped |
| Add the L_Flex loss (ablation) | Flexpert-Design · CATH4.3 test set, |S|=50, τ=5 | Median enrichment ratio: 1.43 -> 1.52 | Helped |
| Train Flexpert-Seq on raw B-factors instead of MD RMSF (ablation) | Flexpert-Seq · B-factor training evaluation | PCC to MD: 0.76 -> 0.47 | Hurt |
| Train Flexpert-Seq on per-protein normalized B-factors instead of MD RMSF (ablation) | Flexpert-Seq · B-factor training evaluation | PCC to MD: 0.76 -> 0.56 | Hurt |
| Use PDB structures rather than MD-relaxed structures as ANM input (ablation) | ANM · ATLAS proteins | PCC to MD RMSF: 0.77 -> 0.73 | Hurt |
| Use ESMFold-predicted structures rather than MD-relaxed structures as ANM input (ablation) | ANM · ATLAS proteins | PCC to MD RMSF: 0.77 -> 0.73 | Hurt |
| Apply ProteinMPNN redesign before ESMFold structure prediction for ANM input (ablation) | ANM · ATLAS proteins | PCC to MD RMSF: 0.73 -> 0.71 | Hurt |
| Increase the flexibility-loss weight θ from 0.8 to 0.9 (ablation) | Flexpert-Design · CATH4.3 test set | Sequence recovery: 0.48 -> 0.47 | Hurt |
| Increase the flexibility-loss weight θ from 0.8 to 0.95 (ablation) | Flexpert-Design · CATH4.3 test set | Sequence recovery: 0.48 -> 0.47 | Hurt |
Surprising findings
- Flexpert-Design struggles to decrease flexibility (tau=-10): the best variant achieves median ratio 0.99 with 51% decreasing mutations, which the authors treat as a limitation.
- B-factors from PDB are hard to learn from (PCC 0.47-0.56 vs 0.76 for MD-trained), attributed to crystal packing artifacts.
Limitations
- Flexpert-Design cannot reliably decrease flexibility; biased toward positive instructions because training flexibilities are non-negative.
- Engineered sequences show lower AF2 recovery of ground-truth structure (RMSD 3.36 vs 2.00 A) and lower pLDDT in engineered regions.
- Predictor performance drops for temperatures far from the 300 K training temperature in mdCATH (0.34 at 450 K).
Experimental setup
Datasets: ATLAS CATH4.3 PDB B-factors mdCATH
Benchmarks: ATLAS test set mdCATH CATH4.3 test set
Metrics: Pearson correlation coefficient median enrichment ratio proportion of flexibility-increasing mutations sequence recovery RMSD pLDDT
Baselines: AlphaFold2 pLDDT ESMFold pLDDT ANM GNM B-factors ProteinMPNN
Builds on: ProteinMPNN ProtTrans LoRA Gumbel-Softmax ProDy
Closest papers by meaning
- Flexibility-conditioned protein structure design with flow matching (ICML 2025 · similarity 0.91)
- Protein Design with Dynamic Protein Vocabulary (NeurIPS 2025 · similarity 0.89)
- Bridge-IF: Learning Inverse Protein Folding with Markov Bridges (NeurIPS 2024 · similarity 0.89)
- ProtInvTree: Deliberate Protein Inverse Folding with Reward-guided Tree Search (NeurIPS 2025 · similarity 0.89)
- Predicting directional flexibility in proteins (NeurIPS 2026 · similarity 0.88)
- Predicting mutational effects on protein binding from folding energy (ICML 2025 · similarity 0.87)
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