Some mathematical models for flagellar activation mechanisms - Université de Paris - Faculté des Sciences
Preprints, Working Papers, ... Year : 2024

Some mathematical models for flagellar activation mechanisms

Abstract

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.
Fichier principal
Vignette du fichier
NLayers_1208_corrections__Copy_.pdf (8.41 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04689234 , version 1 (10-09-2024)

Licence

Identifiers

  • HAL Id : hal-04689234 , version 1

Cite

François Alouges, Irene Anello, Antonio Desimone, Aline Lefebvre-Lepot, Jessie Levillain. Some mathematical models for flagellar activation mechanisms. 2024. ⟨hal-04689234⟩
6 View
2 Download

Share

More