Sheaf-theoretic representation of the proteolipid code
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914224772481024 |
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| author | Kervin, Troy A. |
| author_facet | Kervin, Troy A. |
| contents | Membrane particles such as proteins and lipids organize into zones that perform unique functions. Here, I introduce a topological and category-theoretic framework to represent particle and zone intra-scale interactions and inter-scale coupling. This involves carefully demarcating between different presheaf- or sheaf-assigned data levels to preserve functorial structure and account for particle and zone generalized poses. The framework can accommodate Hamiltonian mechanics, enabling dynamical modeling. This amounts to a versatile mathematical formalism for membrane structure and multiscale coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23784 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sheaf-theoretic representation of the proteolipid code Kervin, Troy A. Molecular Networks Biological Physics Biomolecules 92-10 J.3 Membrane particles such as proteins and lipids organize into zones that perform unique functions. Here, I introduce a topological and category-theoretic framework to represent particle and zone intra-scale interactions and inter-scale coupling. This involves carefully demarcating between different presheaf- or sheaf-assigned data levels to preserve functorial structure and account for particle and zone generalized poses. The framework can accommodate Hamiltonian mechanics, enabling dynamical modeling. This amounts to a versatile mathematical formalism for membrane structure and multiscale coupling. |
| title | Sheaf-theoretic representation of the proteolipid code |
| topic | Molecular Networks Biological Physics Biomolecules 92-10 J.3 |
| url | https://arxiv.org/abs/2512.23784 |