Some mathematical models for flagellar activation mechanisms
<|reference_start|>Some mathematical models for flagellar activation mechanisms: 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.<|reference_end|>
@article{alouges2024some,
    title={Some mathematical models for flagellar activation mechanisms},
    author={Franc{c}ois Alouges, Irene Anello, Antonio DeSimone, Aline
  Lefebvre-Lepot, Jessie Levillain},
    journal={arXiv preprint arXiv:2409.03506},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.03506},
    primaryClass={math.NA cs.NA math.DS}
}