Some mathematical models for flagellar activation mechanisms
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| Titel: | Some mathematical models for flagellar activation mechanisms |
|---|---|
| Autoren: | François Alouges, Irene Anello, Antonio DeSimone, Aline Lefebvre-Lepot, Jessie Levillain |
| Quelle: | Mathematical Models and Methods in Applied Sciences. 35:2395-2424 |
| Publication Status: | Preprint |
| Verlagsinformationen: | World Scientific Pub Co Pte Ltd, 2025. |
| Publikationsjahr: | 2025 |
| Schlagwörter: | numerical simulations, 92-10, 35B32, 35Q84, Axoneme, flagellar modeling, partial differential equations, supercritical Hopf bifurcation, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Dynamical Systems (math.DS), Mathematics - Dynamical Systems |
| Beschreibung: | 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 [Formula: see text]-rows is also included. |
| Publikationsart: | Article |
| Sprache: | English |
| ISSN: | 1793-6314 0218-2025 |
| DOI: | 10.1142/s0218202525500423 |
| DOI: | 10.48550/arxiv.2409.03506 |
| Zugangs-URL: | http://arxiv.org/abs/2409.03506 https://arxiv.org/abs/2409.03506 https://hdl.handle.net/20.500.11767/147990 https://doi.org/10.1142/S0218202525500423 |
| Rights: | CC BY |
| Dokumentencode: | edsair.doi.dedup.....0871b457aced0fb4e0b554d93f8b33ba |
| Datenbank: | OpenAIRE |
Nájsť tento článok vo Web of Science | 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 [Formula: see text]-rows is also included. |
|---|---|
| ISSN: | 17936314 02182025 |
| DOI: | 10.1142/s0218202525500423 |