Two-component model of a microtubule in a semi-discrete approximation
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912076144836608 |
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| author | Zdravković, Slobodan Bugay, Aleksandr N. Zeković, Slobodan Ranković, Dragana Petrović, Jovana |
| author_facet | Zdravković, Slobodan Bugay, Aleksandr N. Zeković, Slobodan Ranković, Dragana Petrović, Jovana |
| contents | In the present work, we study the nonlinear dynamics of a microtubule, an important part of the cytoskeleton. We use a two-component model of the relevant system. A crucial nonlinear differential equation is solved with semi-discrete approximation, yielding some localised modulated solitary waves called the breathers. A detailed estimation of the existing parameters is provided. The numerical investigation shows that the solutions are robust only if the carrier velocity of the breather wave is higher than its envelope velocity. That disproves the previously accepted solutions based on the equality of these velocities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14297 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-component model of a microtubule in a semi-discrete approximation Zdravković, Slobodan Bugay, Aleksandr N. Zeković, Slobodan Ranković, Dragana Petrović, Jovana Biological Physics Pattern Formation and Solitons In the present work, we study the nonlinear dynamics of a microtubule, an important part of the cytoskeleton. We use a two-component model of the relevant system. A crucial nonlinear differential equation is solved with semi-discrete approximation, yielding some localised modulated solitary waves called the breathers. A detailed estimation of the existing parameters is provided. The numerical investigation shows that the solutions are robust only if the carrier velocity of the breather wave is higher than its envelope velocity. That disproves the previously accepted solutions based on the equality of these velocities. |
| title | Two-component model of a microtubule in a semi-discrete approximation |
| topic | Biological Physics Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2410.14297 |