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2017-03-08

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cc-by (c) Oriola Santandreu, David et al., 2017
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/125495

Nonlinear amplitude dynamics in flagellar beating

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Recurs relacionat

https://doi.org/10.1098/rsos.160698

Resum

The physical basis of flagellar and ciliary beating is a major problem in biology which is still far from completely understood. The fundamental cytoskeleton structure of cilia and flagella is the axoneme, a cylindrical array of microtubule doublets connected by passive cross-linkers and dynein motor proteins. The complex interplay of these elements leads to the generation of self-organized bending waves. Although many mathematical models have been proposed to understand this process, few attempts have been made to assess the role of dyneins on the nonlinear nature of the axoneme. Here, we investigate the nonlinear dynamics of flagella by considering an axonemal sliding control mechanism for dynein activity. This approach unveils the nonlinear selection of the oscillation amplitudes, which are typically either missed or prescribed in mathematical models. The explicit set of nonlinear equations are derived and solved numerically. Our analysis reveals the spatio-temporal dynamics of dynein populations and flagellum shape for different regimes of motor activity, medium viscosity and flagellum elasticity. Unstable modes saturate via the coupling of dynein kinetics and flagellum shape without the need of invoking a nonlinear axonemal response. Hence, our work reveals a novel mechanism for the saturation of unstable modes in axonemal beating.

Matèries

Espermatozoides, Citosquelet, Transport biològic

Matèries (anglès)

Spermatozoa, Cytoskeleton, Biological transport

Citació

Col·leccions

Articles publicats en revistes (Física de la Matèria Condensada)

Citació

ORIOLA SANTANDREU, David, GADÊLHA, Hermes, CASADEMUNT I VIADER, Jaume. Nonlinear amplitude dynamics in flagellar beating. _Royal Society Open Science_. 2017. Vol. 4, núm. 160698. [consulta: 25 de gener de 2026]. ISSN: 2054-5703. [Disponible a: https://hdl.handle.net/2445/125495]

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