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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.05762 |
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| _version_ | 1866915239192166400 |
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| author | García, Claudia Magliocca, Martina Meunier, Nicolas |
| author_facet | García, Claudia Magliocca, Martina Meunier, Nicolas |
| contents | Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In https://doi.org/10.1103/PhysRevLett.110.078102, Blanch-Mercader and Casademunt perfomed a nonlinear analysis of the minimal model proposed by Callan and Jones https://doi.org/10.1103/PhysRevLett.100.258106 and numerically conjectured the existence of traveling solutions once that symmetry is broken. In this work, we prove analytically that conjecture by means of nonlinear bifurcation techniques. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_05762 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking García, Claudia Magliocca, Martina Meunier, Nicolas Analysis of PDEs Mathematical Physics Cell motility is connected to the spontaneous symmetry breaking of a circular shape. In https://doi.org/10.1103/PhysRevLett.110.078102, Blanch-Mercader and Casademunt perfomed a nonlinear analysis of the minimal model proposed by Callan and Jones https://doi.org/10.1103/PhysRevLett.100.258106 and numerically conjectured the existence of traveling solutions once that symmetry is broken. In this work, we prove analytically that conjecture by means of nonlinear bifurcation techniques. |
| title | Traveling Motility of Actin Lamellar Fragments Under spontaneous symmetry breaking |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2409.05762 |