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 …

Reviewing mathematical models of sperm signaling networks

D Priego Espinosa, J Espinal‐Enríquez… - Molecular …, 2024 - Wiley Online Library
Dave Garbers' work significantly contributed to our understanding of sperm's regulated
motility, capacitation, and the acrosome reaction. These key sperm functions involve …

A numerical method for inextensible elastic filaments in viscous fluids

M Jabbarzadeh, HC Fu - Journal of Computational Physics, 2020 - Elsevier
The deformations of flagella are important in the motility of single-and multi-flagellated
bacteria. Existing numerical methods have treated flagella as extensible filaments with a …

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 …

Hydrodynamic slender-body theory for local rotation at zero Reynolds number

BJ Walker, K Ishimoto, EA Gaffney - Physical Review Fluids, 2023 - APS
Slender objects are commonplace in microscale flow problems, from soft deformable
sensors to biological filaments such as flagella and cilia. While much research has focused …

Axonemal regulation by curvature explains sperm flagellar waveform modulation

MT Gallagher, JC Kirkman-Brown, DJ Smith - PNAS nexus, 2023 - academic.oup.com
Flagellar motility is critical to natural and many forms of assisted reproduction. Rhythmic
beating and wave propagation by the flagellum propels sperm through fluid and enables …

[HTML][HTML] A finite element method for simulating soft active non-shearable rods immersed in generalized Newtonian fluids

RF Ausas, CG Gebhardt, GC Buscaglia - Communications in Nonlinear …, 2022 - Elsevier
We propose a finite element method for simulating one-dimensional solid models with finite
thickness and finite length that move and experience large deformations while immersed in …

Dynamics of swimmers in fluids with resistance

C Jeznach, SD Olson - Fluids, 2020 - mdpi.com
Micro-swimmers such as spermatozoa are able to efficiently navigate through viscous fluids
that contain a sparse network of fibers or other macromolecules. We utilize the Brinkman …

Hydrodynamic interactions of actuated elastic filaments near a planar wall with applications to sperm motility

J Huang, L Carichino, SD Olson - Journal of Coupled Systems …, 2018 - ingentaconnect.com
There are many micro-organisms, including sperm, that move in confined geometries. With
sperm as a motivating example, we investigate emergent trajectories and beat forms of an …

A computational study of hydrodynamic interactions between pairs of sperm with planar and quasi-planar beat forms

L Carichino, D Drumm, SD Olson - Frontiers in Physics, 2021 - frontiersin.org
Although hydrodynamic interactions and cooperative swimming of mammalian sperm are
observed, the key factors that lead to attraction or repulsion in different confined geometries …