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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.09315 |
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| _version_ | 1866911375961358336 |
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| author | Granero-Belinchón, Rafael Magliocca, Martina |
| author_facet | Granero-Belinchón, Rafael Magliocca, Martina |
| contents | In this paper we study the growth of a tumor colony of multilayer type and focus on how the tumor grows from a near flat (when compared to the length of the tumor as, for instance, in the case of a bone tumor in a femur) initial colony. In particular we derive and study a new weakly nonlinear asymptotic model of multilayer tumor growth. The model takes the form of a nonlinear and nonlocal high order system of PDEs. Finally, motivated by the possibility of a finite time collision of the interfaces, we study the well-posedness of this system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09315 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new asymptotic model of multilayer tumor growth Granero-Belinchón, Rafael Magliocca, Martina Analysis of PDEs In this paper we study the growth of a tumor colony of multilayer type and focus on how the tumor grows from a near flat (when compared to the length of the tumor as, for instance, in the case of a bone tumor in a femur) initial colony. In particular we derive and study a new weakly nonlinear asymptotic model of multilayer tumor growth. The model takes the form of a nonlinear and nonlocal high order system of PDEs. Finally, motivated by the possibility of a finite time collision of the interfaces, we study the well-posedness of this system. |
| title | A new asymptotic model of multilayer tumor growth |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.09315 |