[HTML][HTML] Modelling motility: the mathematics of spermatozoa

EA Gaffney, K Ishimoto, BJ Walker - Frontiers in Cell and …, 2021 - frontiersin.org
In one of the first examples of how mechanics can inform axonemal mechanism, Machin's
study in the 1950s highlighted that observations of sperm motility cannot be explained by …

Immersed buoyant viscoplastic injections

S Akbari, SM Taghavi - Journal of Non-Newtonian Fluid Mechanics, 2022 - Elsevier
In this study, the injection of a viscoplastic (yield stress) fluid into a quiescent Newtonian
medium is experimentally investigated, using a range of experimental methods, including …

Integral-based spectral method for inextensible slender fibers in Stokes flow

O Maxian, A Mogilner, A Donev - Physical Review Fluids, 2021 - APS
Every animal cell is filled with a cytoskeleton, a dynamic gel made of inextensible fibers,
such as microtubules, actin fibers, and intermediate filaments, all suspended in a viscous …

Methods for suspensions of passive and active filaments

SF Schoeller, AK Townsend, TA Westwood… - Journal of …, 2021 - Elsevier
Flexible filaments and fibres are essential components of important complex fluids that
appear in many biological and industrial settings. Direct simulations of these systems that …

Filament mechanics in a half-space via regularised Stokeslet segments

BJ Walker, K Ishimoto, H Gadêlha… - Journal of Fluid …, 2019 - cambridge.org
We present a generalisation of efficient numerical frameworks for modelling fluid–filament
interactions via the discretisation of a recently developed, non-local integral equation …

Well-posedness and applications of classical elastohydrodynamics for a swimming filament

Y Mori, L Ohm - Nonlinearity, 2023 - iopscience.iop.org
Well-posedness and applications of classical elastohydrodynamics for a swimming filament
Page 1 Nonlinearity PAPER • OPEN ACCESS Well-posedness and applications of classical …

Buckling of elastic fibers in a shear flow

AM Słowicka, N Xue, P Sznajder, JK Nunes… - New Journal of …, 2022 - iopscience.iop.org
Three-dimensional dynamics of flexible fibers in shear flow are studied numerically, with a
qualitative comparison to experiments. Initially, the fibers are straight, with different …

Slender phoretic theory of chemically active filaments

P Katsamba, S Michelin… - Journal of Fluid …, 2020 - cambridge.org
Artificial microswimmers, or 'microbots', have the potential to revolutionise non-invasive
medicine and microfluidics. Microbots that are powered by self-phoretic mechanisms, such …

Scaling law for a buckled elastic filament in a shear flow

P Sznajder, L Liu, P Zdybel… - arXiv preprint arXiv …, 2023 - arxiv.org
We analyze the three-dimensional buckling of an elastic filament in a shear flow of a viscous
fluid at low Reynolds number and high Peclet number. We apply the Euler-Bernoulli beam …

Doing more with less: the flagellar end piece enhances the propulsive effectiveness of human spermatozoa

CV Neal, AL Hall-McNair, J Kirkman-Brown, DJ Smith… - Physical Review …, 2020 - APS
Spermatozoa self-propel by propagating bending waves along a predominantly active
elastic flagellum. The organized structure of the 9+ 2 axoneme is lost in the most-distal few …