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Model the hydrodynamics of ciliary propulsion using an envelope approximation representing the tips of closely spaced cilia undergoing symplectic metachronal waves.

March 15, 1971Journal of Fluid Mechanics

A spherical envelope approach to ciliary propulsion

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Authors

JBJ. R. BlakeUK Centre for Ecology & Hydrology

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Implication

Theoretical modeling reveals velocity and propulsion efficiency in spherical ciliated organisms, suggesting updated hydrodynamic mechanisms for squirming locomotion.

Key Points

Model the hydrodynamics of ciliary propulsion using an envelope approximation representing the tips of closely spaced cilia undergoing symplectic metachronal waves.
Constructed a theoretical spherical envelope boundary representing the collective tips of dense cilia.
Extended and corrected Lighthill's 1952 mathematical formulation for squirming motions of nearly spherical bodies.
Derived analytical solutions for swimming velocity induced by symplectic metachronal wave coordination along a spherical boundary.
Determined hydrodynamic propulsion efficiency by evaluating the mechanical work done by ciliary motion relative to the work required to tow an equivalent inert body.

Cite This Study

J. R. Blake (1971) studied this question.

synapsesocial.com/papers/69d6aefaf174babf6cab3175 https://doi.org/10.1017/s002211207100048x

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Implication

Theoretical modeling reveals velocity and propulsion efficiency in spherical ciliated organisms, suggesting updated hydrodynamic mechanisms for squirming locomotion.

A spherical envelope approach to ciliary propulsion

Discussion

Member takes

Implication

Key Points

Cite This Study

A spherical envelope approach to ciliary propulsion

Discussion

Member takes

Implication

Key Points

Cite This Study

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