| Title | Some mathematical models for flagellar activation mechanisms |
| Publication Type | Journal Article |
| Year of Publication | 2025 |
| Authors | Alouges, F, Anello, I, DeSimone, A, Lefebvre-Lepot, A, Levillain, J |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Pagination | 1-30 |
| Abstract | This paper focuses on studying a model for dyneins, cytoskeletal motor proteins responsible for axonemal activity. The model is a coupled system of partial differential equations inspired by [F. Jülicher and J. Prost, Cooperative molecular motors, Phys. Rev. Lett. 75 (1995) 2618–2621; F. Jülicher and J. Prost, Molecular motors: From individual to collective behavior, Prog. Theor. Phys. Suppl. 130 (1998) 9–16] and incorporating two rows of molecular motors between microtubules filaments. Existence and uniqueness of a solution are proved, together with the presence of a supercritical Hopf bifurcation. Additionally, numerical simulations are provided to illustrate the theoretical results. A brief study on the generalization to N-rows is also included. |
| URL | https://doi.org/10.1142/S0218202525500423 |
| DOI | 10.1142/S0218202525500423 |
Some mathematical models for flagellar activation mechanisms
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