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Uncovering flow and deformation regimes in the coupled fluid-solid vestibular system

Abstract:
In this paper, we showcase how flow obstruction by a deformable object can lead to symmetry breaking in curved domains subject to angular acceleration. Our analysis is motivated by the deflection of the cupula, a soft tissue located in the inner ear that is used to perceive rotational motion as part of the vestibular system. The cupula is  understood to block the rotation-induced flow in a toroidal region with the flow-induced deformation of the cupula used by the brain to infer motion. By asymptotically  solving the governing equations for this flow, we characterise regimes for which the sensory system is sensitive to either angular velocity or angular acceleration. Moreover, we show the fluid flow is not symmetric in the latter case. Finally, we extend our analysis of symmetry breaking to understand the formation of vortical flow in cavernous regions within channels. We discuss the implications of our results for the sensing of rotation by mammals.
Publication status:
Accepted
Peer review status:
Peer reviewed

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Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0009-0008-7536-6978
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-3597-7973
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Lincoln College
Role:
Author
ORCID:
0000-0003-1341-8863


Publisher:
Cambridge University Press
Journal:
Journal of Fluid Mechanics More from this journal
Acceptance date:
2025-09-29
EISSN:
1469-7645
ISSN:
0022-1120


Language:
English
Pubs id:
2295210
Local pid:
pubs:2295210
Deposit date:
2025-09-29

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