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 …

Live births from artificial insemination of microfluidic-sorted bovine spermatozoa characterized by trajectories correlated with fertility

MPB Nagata, K Endo, K Ogata… - Proceedings of the …, 2018 - National Acad Sciences
Selection of functional spermatozoa plays a crucial role in assisted reproduction. Passage of
spermatozoa through the female reproductive tract requires progressive motility to locate the …

Numerical modeling of sperm swimming

FB Tian, L Wang - Fluids, 2021 - mdpi.com
Due to rising human infertility, sperm motility has been an important subject. Among the
hundreds of millions of sperms on the journey up the oviducts, only a few excellent travelers …

The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella

C Moreau, L Giraldi, H Gadêlha - Journal of the Royal …, 2018 - royalsocietypublishing.org
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 …

Flagellar ultrastructure suppresses buckling instabilities and enables mammalian sperm navigation in high-viscosity media

H Gadêlha, EA Gaffney - Journal of The Royal Society …, 2019 - royalsocietypublishing.org
Eukaryotic flagellar swimming is driven by a slender motile unit, the axoneme, which
possesses an internal structure that is essentially conserved in a tremendous diversity of …

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 …

Efficient implementation of elastohydrodynamics via integral operators

AL Hall-McNair, TD Montenegro-Johnson, H Gadêlha… - Physical Review …, 2019 - APS
The dynamics of geometrically nonlinear flexible filaments play an important role in a host of
biological processes, from flagella-driven cell transport to the polymeric structure of complex …

[HTML][HTML] A nearest-neighbour discretisation of the regularized stokeslet boundary integral equation

DJ Smith - Journal of Computational Physics, 2018 - Elsevier
The method of regularized stokeslets is extensively used in biological fluid dynamics due to
its conceptual simplicity and meshlessness. This simplicity carries a degree of cost in …

An elastohydrodynamical simulation study of filament and spermatozoan swimming driven by internal couples

K Ishimoto, EA Gaffney - IMA Journal of Applied Mathematics, 2018 - academic.oup.com
Eukaryotic cell swimming is frequently actuated via the flagellum, which is a slender flexible
appendage driven by waves of internal couples generated by dynein molecular motors …

Boundary element methods for particles and microswimmers in a linear viscoelastic fluid

K Ishimoto, EA Gaffney - Journal of Fluid Mechanics, 2017 - cambridge.org
The consideration of viscoelasticity within fluid dynamical boundary element methods has
traditionally required meshing over the whole flow domain. In turn, a major advantage of the …