> ## Documentation Index
> Fetch the complete documentation index at: https://proto.evodesign.org/docs/llms.txt
> Use this file to discover all available pages before exploring further.

# Gyration Radius

> Filter structures by radius of gyration (compactness)

<div class="page-hero">
  <img class="page-hero-banner" src="https://proto-bio.github.io/proto-assets/images/constraint/gyration-radius/hero.png" alt="Gyration Radius" />
</div>

<Note>
  **License:** Structure Metrics is open source and free for academic and commercial use under an MIT license. Please refer to [the license](https://github.com/evo-design/proto-tools) for full terms.
</Note>

<p class="entity-disclaimer">This constraint is open source. Any third-party models, product names, or trademarks referenced are the property of their respective owners, and Proto is not affiliated with them.</p>

<hr class="entity-rule" />

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<input type="radio" name="tab-constraint-gyration-radius" id="cite-constraint-gyration-radius" class="tab-radio-input" />

<div class="tool-tab-bar"><span class="tool-tab-wrap"><label for="tools-constraint-gyration-radius" class="tool-tab tab-open badge-tools"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><rect width="7" height="7" x="3" y="3" rx="1" /><rect width="7" height="7" x="14" y="3" rx="1" /><rect width="7" height="7" x="14" y="14" rx="1" /><rect width="7" height="7" x="3" y="14" rx="1" /></svg> Tools Used</label><label for="none-constraint-gyration-radius" class="tool-tab tab-close badge-tools"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><rect width="7" height="7" x="3" y="3" rx="1" /><rect width="7" height="7" x="14" y="3" rx="1" /><rect width="7" height="7" x="14" y="14" rx="1" /><rect width="7" height="7" x="3" y="14" rx="1" /></svg> Tools Used</label></span> <span class="tool-tab-wrap"><label for="source-constraint-gyration-radius" class="tool-tab tab-open badge-source"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polyline points="16 18 22 12 16 6" /><polyline points="8 6 2 12 8 18" /></svg> Source</label><label for="none-constraint-gyration-radius" class="tool-tab tab-close badge-source"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polyline points="16 18 22 12 16 6" /><polyline points="8 6 2 12 8 18" /></svg> Source</label></span> <span class="tool-tab-wrap"><label for="cite-constraint-gyration-radius" class="tool-tab tab-open badge-cite"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><path d="M3 21c3 0 7-1 7-8V5c0-1.25-.756-2.017-2-2H4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2 1 0 1 0 1 1v1c0 1-1 2-2 2s-1 .008-1 1.031V20c0 1 0 1 1 1z" /><path d="M15 21c3 0 7-1 7-8V5c0-1.25-.757-2.017-2-2h-4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2h.75c0 2.25.25 4-2.75 4v3c0 1 0 1 1 1z" /></svg> Cite</label><label for="none-constraint-gyration-radius" class="tool-tab tab-close badge-cite"><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><path d="M3 21c3 0 7-1 7-8V5c0-1.25-.756-2.017-2-2H4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2 1 0 1 0 1 1v1c0 1-1 2-2 2s-1 .008-1 1.031V20c0 1 0 1 1 1z" /><path d="M15 21c3 0 7-1 7-8V5c0-1.25-.757-2.017-2-2h-4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2h.75c0 2.25.25 4-2.75 4v3c0 1 0 1 1 1z" /></svg> Cite</label></span></div>

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<a href="https://github.com/evo-design/proto-language/blob/d3b7822f74ea64747cc751a3b2ab1aa6b799ac47/proto_language/constraint/protein_structure/gyration_radius_constraint.py#L42" target="_blank" class="tab-panel source-panel" data-tab="source-constraint-gyration-radius">
  <div class="source-info">
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    <span class="source-path">evo-design/proto-language<span class="source-subpath">/proto\_language/constraint/protein\_structure/gyration\_radius\_constraint.py</span></span>
  </div>

  <span class="panel-goto-btn source-goto-btn"><span><svg width="14" height="14" viewBox="0 0 24 24" fill="currentColor"><path d="M12 0C5.37 0 0 5.37 0 12c0 5.31 3.435 9.795 8.205 11.385.6.105.825-.255.825-.57 0-.285-.015-1.23-.015-2.235-3.015.555-3.795-.735-4.035-1.41-.135-.345-.72-1.41-1.23-1.695-.42-.225-1.02-.78-.015-.795.945-.015 1.62.87 1.845 1.23 1.08 1.815 2.805 1.305 3.495.99.105-.78.42-1.305.765-1.605-2.67-.3-5.46-1.335-5.46-5.925 0-1.305.465-2.385 1.23-3.225-.12-.3-.54-1.53.12-3.18 0 0 1.005-.315 3.3 1.23.96-.27 1.98-.405 3-.405s2.04.135 3 .405c2.295-1.56 3.3-1.23 3.3-1.23.66 1.65.24 2.88.12 3.18.765.84 1.23 1.905 1.23 3.225 0 4.605-2.805 5.625-5.475 5.925.435.375.81 1.095.81 2.22 0 1.605-.015 2.895-.015 3.3 0 .315.225.69.825.57A12.02 12.02 0 0024 12c0-6.63-5.37-12-12-12z" /></svg> View source</span></span>
</a>

<div class="tab-panel cite-panel" data-tab="cite-constraint-gyration-radius">
  <div class="cite-code-wrap">
    ```bibtex theme={null}
    @article{kunzmann2023biotite,
      title={Biotite: new tools for a versatile {Python} bioinformatics library},
      author={Kunzmann, Patrick and M{\"u}ller, Tom David and Greil, Maximilian and Krumbach, Jan Hendrik and Anter, Jacob Marcel and Bauer, Daniel and Islam, Faisal and Hamacher, Kay},
      journal={BMC Bioinformatics},
      volume={24},
      number={1},
      pages={236},
      year={2023},
      publisher={BioMed Central},
      doi={10.1186/s12859-023-05345-6}
    }

    @article{labesse1997psea,
      title={{P-SEA}: a new efficient assignment of secondary structure from {C}$\alpha$ trace of proteins},
      author={Labesse, Gilles and Colloc'h, Nathalie and Pothier, Joel and Mornon, Jean-Paul},
      journal={Bioinformatics},
      volume={13},
      number={3},
      pages={291--295},
      year={1997},
      publisher={Oxford University Press},
      doi={10.1093/bioinformatics/13.3.291}
    }
    ```
  </div>

  <span class="panel-goto-btn cite-copy-btn"><span><svg width="14" height="14" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><path d="M3 21c3 0 7-1 7-8V5c0-1.25-.756-2.017-2-2H4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2 1 0 1 0 1 1v1c0 1-1 2-2 2s-1 .008-1 1.031V20c0 1 0 1 1 1z" /><path d="M15 21c3 0 7-1 7-8V5c0-1.25-.757-2.017-2-2h-4c-1.25 0-2 .75-2 1.972V11c0 1.25.75 2 2 2h.75c0 2.25.25 4-2.75 4v3c0 1 0 1 1 1z" /></svg> Copy citation</span></span>
</div>

<div class="entity-contributors"><span class="entity-contributors-label">Constraint contributors</span><span class="entity-contributors-people"><a class="entity-contributor" href="https://github.com/dguo8412" target="_blank" rel="noopener" title="dguo8412: 3 commits"><img noZoom class="entity-contributor-avatar" src="https://avatars.githubusercontent.com/u/46211285?v=4&s=64" alt="" loading="lazy" /><span class="entity-contributor-login">dguo8412</span></a></span></div>
Filter structures by radius of gyration.

## API Reference

<div class="api-model-section api-model-static api-config-section">
  <div class="api-model-header"><span class="api-model-badge api-config-badge">Config</span><span class="api-model-name">GyrationRadiusConfig</span><a href="https://github.com/evo-design/proto-language/blob/d3b7822f74ea64747cc751a3b2ab1aa6b799ac47/proto_language/constraint/protein_structure/gyration_radius_constraint.py#L15" target="_blank" class="func-table-btn func-source-btn api-model-source"><svg width="12" height="12" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round"><polyline points="16 18 22 12 16 6" /><polyline points="8 6 2 12 8 18" /></svg> Source</a></div>

  Configuration for gyration radius constraint.

  <ParamField path="max_gyration_radius" type="number" default="45.0">
    Maximum acceptable radius of gyration in Ångströms (lower values are more compact).
  </ParamField>
</div>

<div class="api-model-section api-model-static api-output-section">
  <div class="api-model-header"><span class="api-model-badge api-output-badge">Returns</span><span class="api-model-name">ConstraintOutput</span></div>

  Per-proposal score in `[0.0, 1.0]` with
  `gyration_radius` and `longest_alpha_helix` metadata. Sequences
  without a structure receive `MAX_ENERGY` and no metadata.
</div>

## Usage

```python python icon="python" theme={null}
from proto_language.core import Constraint
from proto_language.constraint import gyration_radius_constraint, GyrationRadiusConfig

constraint = Constraint(
    inputs=[segment],
    function=gyration_radius_constraint,
    function_config=GyrationRadiusConfig(
        # Configure parameters here
    ),
)

scores = constraint.evaluate()
```

## Metadata

| Property        | Value                        |
| --------------- | ---------------------------- |
| Key             | `gyration-radius`            |
| Function        | `gyration_radius_constraint` |
| Category        | `protein_structure`          |
| Mode            | `discrete`                   |
| Uses GPU        | `False`                      |
| Supported Types | `protein`, `dna`             |
