2018
DOI: 10.1098/rsif.2018.0235
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The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella

Abstract: The inertialess fluid-structure interactions of active and passive inextensible filaments and slender-rods are ubiquitous in nature, from the dynamics of semi-flexible polymers and cytoskeletal filaments to cellular mechanics and flagella. The coupling between the geometry of deformation and the physical interaction governing the dynamics of bio-filaments is complex. Governing equations negotiate elastohydrodynamical interactions with non-holonomic constraints arising from the filament inextensibility. Such el… Show more

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Cited by 42 publications
(97 citation statements)
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“…The hydrodynamic equations are extended so that interactions between all filaments are considered. For a system of N passively relaxing filaments, this equation reads We include the EIF-RFT method to verify the equivalence of the present implementation with that of Moreau et al [1] under the reduction to local hydrodynamics. In all simulations in this paper the regularization parameter for use in the method of regularized stokeslets is chosen as ε = 0.01.…”
Section: Systems Of Multiple Filamentsmentioning
confidence: 87%
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“…The hydrodynamic equations are extended so that interactions between all filaments are considered. For a system of N passively relaxing filaments, this equation reads We include the EIF-RFT method to verify the equivalence of the present implementation with that of Moreau et al [1] under the reduction to local hydrodynamics. In all simulations in this paper the regularization parameter for use in the method of regularized stokeslets is chosen as ε = 0.01.…”
Section: Systems Of Multiple Filamentsmentioning
confidence: 87%
“…The EIF method proposed by Moreau and co-authors [1] highlighted the reduction in computational runtime attainable when using the integral formulation applied to elastodynamics, due in part to the reduction in the required degrees of freedom the integral formulation affords. Alleviating this numerical stiffness facilitates the study of non-linear problems, such as those involving filament buckling investigated in Sec.…”
Section: Discussionmentioning
confidence: 99%
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“…, s m , such that if ψ is positive, the flagellar section is righthanded, or if negative, the flagellar section is left-handed [50]. The magnitude of the discrete angles ψ however depends the number of segments m [67]. The kymographs of the y and z coordinates in arclength and time for each spermatozoa are shown in SI-Figs.…”
Section: Waveform Curvature Torsion and Chiralitymentioning
confidence: 99%