1. Some mathematical models for flagellar activation mechanisms
- Author
-
Alouges, François, Anello, Irene, DeSimone, Antonio, Lefebvre-Lepot, Aline, and Levillain, Jessie
- Subjects
Mathematics - Numerical Analysis ,Mathematics - Dynamical Systems - 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 J\"ulicher 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.
- Published
- 2024