A coupled multiscale model of the human cornea accounting for the collagenous microstructure and the extracellular matrix
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| Format: | Preprint |
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2025
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| _version_ | 1866915367826227200 |
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| author | Miller, Christopher De Bellis, Maria Laura Pandolfi, Anna |
| author_facet | Miller, Christopher De Bellis, Maria Laura Pandolfi, Anna |
| contents | We present a micro-structurally based finite element model of the human cornea, where we explicitly describe the collagen-crosslink architecture in terms of a trusswork of non-linear struts, and the extracellular proteoglycan matrix in terms of continuum solid elements. We regard the cornea as a composite material with strongly non-linear properties within a finite kinematics framework. This innovative approach is based on two previously developed models, each of which has some drawbacks in describing stromal tissue degeneration. Separation of the continuum phase from the collagen microstructure allows a more realistic capture of the macroscopic phenomena observed in keratoconus pathologies, such as localized deformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00668 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A coupled multiscale model of the human cornea accounting for the collagenous microstructure and the extracellular matrix Miller, Christopher De Bellis, Maria Laura Pandolfi, Anna Mathematical Physics 65Nxx We present a micro-structurally based finite element model of the human cornea, where we explicitly describe the collagen-crosslink architecture in terms of a trusswork of non-linear struts, and the extracellular proteoglycan matrix in terms of continuum solid elements. We regard the cornea as a composite material with strongly non-linear properties within a finite kinematics framework. This innovative approach is based on two previously developed models, each of which has some drawbacks in describing stromal tissue degeneration. Separation of the continuum phase from the collagen microstructure allows a more realistic capture of the macroscopic phenomena observed in keratoconus pathologies, such as localized deformation. |
| title | A coupled multiscale model of the human cornea accounting for the collagenous microstructure and the extracellular matrix |
| topic | Mathematical Physics 65Nxx |
| url | https://arxiv.org/abs/2507.00668 |