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https://github.com/elkins-lab/diff-hdx

Differentiable HDX-MS prediction in JAX
https://github.com/elkins-lab/diff-hdx

biophysics differentiable-programming hdx-ms jax structural-biology

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Differentiable HDX-MS prediction in JAX

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# πŸ§ͺ diff-hdx: Differentiable HDX-MS Prediction in JAX

[![Tests](https://github.com/elkins/diff-hdx/actions/workflows/test.yml/badge.svg)](https://github.com/elkins/diff-hdx/actions/workflows/test.yml)
[![License: MIT](https://img.shields.io/badge/License-MIT-yellow.svg)](https://opensource.org/licenses/MIT)
[![JAX](https://img.shields.io/badge/backend-JAX-9cf.svg)](https://github.com/google/jax)

**diff-hdx** is a high-performance Python library for differentiable Hydrogen-Deuterium Exchange (HDX-MS) prediction. Built on **JAX**, it provides auto-differentiable kernels to bridge structural ensembles and experimental protection factors.

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## 🎯 Features

- **Differentiable SASA Kernels:** Hardware-accelerated approximations of Solvent Accessible Surface Area using Gaussian occlusion models.
- **Protection Factor Modeling:** Implementations of LinderstrΓΈm-Lang models for H-exchange rates ($PF$).
- **Kinetic Simulation:** Model time-dependent mass shifts using **EX2 kinetics** (Hvidt & Nielsen, 1966).
- **Gradient-Based Refinement:** Optimize protein structures or ensembles directly against experimental HDX-MS time-curves.
- **Vectorized Execution:** Native support for `vmap` to handle large conformational ensembles.

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## πŸ“š Tutorials

Experience **diff-hdx** directly in your browser:

- [![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/elkins/diff-hdx/blob/main/examples/interactive_tutorials/hdx_prediction_tutorial.ipynb) **HDX-MS Prediction & Kinetics** β€” Learn how to simulate intrinsic rates, protection factors, and deuterium uptake curves.

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## πŸ—οΈ Technical Architecture

- **Backend:** JAX (XLA-compiled) β€” supports CPU, GPU, and TPU.
- **Differentiability:** Full support for forward and reverse-mode autodiff.
- **Integration:** Compatible with `biotite` for structural parsing and `diff-biophys` for ensemble averaging.

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## πŸš€ Roadmap

- [x] Initial differentiable SASA and $ln P$ kernels.
- [x] Integration with JAX `vmap` for ensemble averaging.
- [x] Residue-specific intrinsic exchange rates (Bai et al. 1993) β€” all 20 amino acids.
- [ ] Integration with MD trajectory loaders.

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## πŸš€ Installation

```bash
pip install diff-hdx
```

## πŸ§ͺ Scientific Validation

- **Parity Checks:** Kernels are validated against standard non-differentiable implementations (e.g., `biotite` SASA) to ensure physical accuracy.
- **Gradient Tests:** All kernels are verified using JAX's `gradcheck` to ensure numerically stable derivatives across the full support.
- **Ensemble Consistency:** Verified against `diff-biophys` ensemble averaging for IDP conformational ensembles.

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## πŸ”— Related Projects

diff-hdx is part of the **differentiable biophysics** ecosystem:

- [diff-biophys](https://github.com/elkins/diff-biophys) β€” Core differentiable biophysics engine.
- [diff-fret](https://github.com/elkins/diff-fret) β€” Differentiable FRET modeling.
- [diff-epr](https://github.com/elkins/diff-epr) β€” Differentiable EPR/DEER simulation.
- [synth-pdb](https://github.com/elkins/synth-pdb) β€” Synthetic structure generation.

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## πŸ“– Citation

```bibtex
@software{diff_hdx,
author = {Elkins, George},
title = {diff-hdx: Differentiable HDX-MS prediction in JAX},
year = {2026},
url = {https://github.com/elkins/diff-hdx},
version = {0.1.0}
}
```

## βš–οΈ License

MIT