Red Blood Cells as Elastic Surfaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866913962557177856 |
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| author | Aulisa, Eugenio Fields, Stone Toda, Magdalena |
| author_facet | Aulisa, Eugenio Fields, Stone Toda, Magdalena |
| contents | We study red blood cells using the Helfrich-Canham functional: due to their lipid bilayer structure, RBCs are naturally modeled using the theory of elastic surfaces. In this study, we demonstrate that Cassinian ovals, except for the limiting case of the round sphere, do not solve the shape equation. We further discuss conditions under which they may serve as effective approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Red Blood Cells as Elastic Surfaces Aulisa, Eugenio Fields, Stone Toda, Magdalena Differential Geometry 35G20, 35A05, 49S05 We study red blood cells using the Helfrich-Canham functional: due to their lipid bilayer structure, RBCs are naturally modeled using the theory of elastic surfaces. In this study, we demonstrate that Cassinian ovals, except for the limiting case of the round sphere, do not solve the shape equation. We further discuss conditions under which they may serve as effective approximations. |
| title | Red Blood Cells as Elastic Surfaces |
| topic | Differential Geometry 35G20, 35A05, 49S05 |
| url | https://arxiv.org/abs/2507.21010 |