| Title: |
Some mathematical models for flagellar activation mechanisms |
| Authors: |
Alouges, François; Anello, Irene; Desimone, Antonio; Lefebvre-Lepot, Aline; Levillain, Jessie |
| Contributors: |
CB - Centre Borelli - UMR 9010 (CB); Service de Santé des Armées-Institut National de la Santé et de la Recherche Médicale (INSERM)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-Ecole Normale Supérieure Paris-Saclay (ENS Paris Saclay)-Université Paris Cité (UPCité); Institut universitaire de France (IUF); Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche (M.E.N.E.S.R.); Scuola Internazionale Superiore di Studi Avanzati = International School for Advanced Studies Trieste (SISSA / ISAS); Fédération de Mathématiques de CentraleSupélec; CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS); Centre National de la Recherche Scientifique (CNRS); Centre de Mathématiques Appliquées de l'Ecole polytechnique (CMAP); Institut National de Recherche en Informatique et en Automatique (Inria)-École polytechnique (X); Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS); Centre National d'Études Spatiales Toulouse (CNES); Institut National des Sciences Appliquées - Toulouse (INSA Toulouse); Institut National des Sciences Appliquées (INSA)-Communauté d'universités et établissements de Toulouse (Comue de Toulouse); This work was supported by a public grant as part of the Investissement d’avenir project, reference ANR-11-LABX-0056-LMH, LabEx LMH.; ANR-11-LABX-0056,LMH,LabEx Mathématique Hadamard(2011) |
| Source: |
ISSN: 0218-2025. |
| Publisher Information: |
CCSD; World Scientific Publishing |
| Publication Year: |
2025 |
| Subject Terms: |
axoneme; flagellar modeling; Hopf bifurcation; numerical simulations; partial differential equations; [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]; [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]; [PHYS.MECA.BIOM]Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph] |
| Description: |
International audience ; This paper focuses on studying a model for molecular motors responsible for the bending of the axoneme in the flagella of microorganisms. The model is a coupled system of partial differential equations inspired by Jülicher et al. or Camalet, incorporating two rows of molecular motors between microtubules filaments. Existence and uniqueness of a solution is 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. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1142/S0218202525500423 |
| Availability: |
https://hal.science/hal-04689234; https://hal.science/hal-04689234v2/document; https://hal.science/hal-04689234v2/file/NLayers_1208_corrections_Arxiv%20%281%29.pdf; https://doi.org/10.1142/S0218202525500423 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.FCE35883 |
| Database: |
BASE |