Beating of eukaryotic flagella via Hopf bifurcation of a system of stalled molecular motors
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929620434026496 |
|---|---|
| author | Anello, Irene Alouges, François De Simone, Antonio |
| author_facet | Anello, Irene Alouges, François De Simone, Antonio |
| contents | The modeling of the beating of cilia and flagella in fluids is a particularly active field of study, given the biological relevance of these organelles. Various mathematical models have been proposed to represent the nonlinear dynamics of flagella, whose motion is powered by the work of molecular motors attached to filaments composing the axoneme. Here, we formulate and solve a nonlinear model of activation based on the sliding feedback mechanism, capturing the chemical and configurational changes of molecular motors driving axonemal motion. This multiscale model bridges microscopic motor dynamics with macroscopic flagellar motion, providing insight into the emergence of oscillatory beating. We validate the framework through linear stability analysis and fully nonlinear numerical simulations, showing the onset of spontaneous oscillations. To make the analysis more comprehensive, we compare our approach with two established sliding feedback models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Beating of eukaryotic flagella via Hopf bifurcation of a system of stalled molecular motors Anello, Irene Alouges, François De Simone, Antonio Soft Condensed Matter Adaptation and Self-Organizing Systems Biological Physics 74H60, 74K10, 92B25 The modeling of the beating of cilia and flagella in fluids is a particularly active field of study, given the biological relevance of these organelles. Various mathematical models have been proposed to represent the nonlinear dynamics of flagella, whose motion is powered by the work of molecular motors attached to filaments composing the axoneme. Here, we formulate and solve a nonlinear model of activation based on the sliding feedback mechanism, capturing the chemical and configurational changes of molecular motors driving axonemal motion. This multiscale model bridges microscopic motor dynamics with macroscopic flagellar motion, providing insight into the emergence of oscillatory beating. We validate the framework through linear stability analysis and fully nonlinear numerical simulations, showing the onset of spontaneous oscillations. To make the analysis more comprehensive, we compare our approach with two established sliding feedback models. |
| title | Beating of eukaryotic flagella via Hopf bifurcation of a system of stalled molecular motors |
| topic | Soft Condensed Matter Adaptation and Self-Organizing Systems Biological Physics 74H60, 74K10, 92B25 |
| url | https://arxiv.org/abs/2412.06067 |