34 citations · 208 across the 24 of their papers we have counts for
25 papers
Mathematical modelling of immune persistence and relapse pathways in CAR T-cell therapy for B-ALL
Alexis Farman, Benjamin J. Walker, Martin A. Pule +1
Chimeric antigen receptor (CAR) T-cell therapy has transformed the treatment of B-cell acute lymphoblastic leukaemia (B-ALL). Despite high initial response rates, a substantial fra…
Tunable asymmetric swimming in biflagellate microswimmers
Benjamin J. Walker, Clément Moreau, Tommie L. Robinson +4
Many biological microswimmers can modulate their swimming gait to achieve directional control of motility, especially when performing steering towards specific directional cues. Th…
Motility and rotation of multi-timescale microswimmers in linear background flows
Eamonn A. Gaffney, Kenta Ishimoto, Benjamin J. Walker
Microswimming cells and robots exhibit diverse behaviours due to both their swimming and their environment. One of the core environmental features impacting inertialess swimming is…
On discretely structured growth models and their moments
Benjamin J. Walker, Helen M. Byrne
The logistic equation is ubiquitous in applied mathematics as a minimal model of saturating growth. Here, we examine a broad generalisation of the logistic growth model to discrete…
Minimal design of a synthetic cilium
Clément Moreau, Benjamin J. Walker, Rebecca N. Poon +4
We study a slender filament beating in a viscous fluid with novel curvature-dependent bending stiffness. Our numerical and experimental investigations reveal that such differential…
Turing instabilities are not enough to ensure pattern formation
Andrew L. Krause, Eamonn A. Gaffney, Thomas Jun Jewell +2
Symmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing's reaction--diffus…
VisualPDE: rapid interactive simulations of partial differential equations
Benjamin J. Walker, Adam K. Townsend, Alexander K. Chudasama +1
Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in di…
Optimal face-to-face coupling for fast self-folding kirigami
Maks Pecnik Bambic, Nuno A. M. Araújo, Benjamin J. Walker +4
Kirigami-inspired designs can enable self-folding three-dimensional materials from flat, two-dimensional sheets. Hierarchical designs of connected levels increase the diversity of…
Viscous tubular-body theory for plane interfaces
Lyndon Koens, Benjamin J. Walker
Filaments are ubiquitous within the microscopic world. They occur frequently in both biological and industrial environments and display varied and rich dynamics. Their wide range o…
Generalised Jeffery's equations for rapidly spinning particles. Part 1: Spheroids
Mohit P. Dalwadi, Clément Moreau, Eamonn A. Gaffney +2
The observed behaviour of passive objects in simple flows can be surprisingly intricate, and is complicated further by object activity. Inspired by the motility of bacterial swimme…
Generalised Jeffery's equations for rapidly spinning particles. Part 2: Helicoidal objects with chirality
Mohit P. Dalwadi, Clément Moreau, Eamonn A. Gaffney +2
In this two-part study, we investigate the motion of rigid, active objects in shear Stokes flow, focusing on bodies that induce rapid rotation as part of their activity. In Part 2,…
Concentration-Dependent Domain Evolution in Reaction-Diffusion Systems
Andrew L. Krause, Eamonn A. Gaffney, Benjamin J. Walker
Pattern formation has been extensively studied in the context of evolving (time-dependent) domains in recent years, with domain growth implicated in ameliorating problems of patter…
Minimal Morphoelastic Models of Solid Tumour Spheroids: A Tutorial
Benjamin J. Walker, Giulia L. Celora, Alain Goriely +2
Tumour spheroids have been the focus of a variety of mathematical models, ranging from Greenspan's classical study of the 1970s through to contemporary agent-based models. Of the m…
A hydrodynamic slender-body theory for local rotation at zero Reynolds number
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney
Slender objects are commonplace in microscale flow problems, from soft deformable sensors to biological filaments such as flagella and cilia. Whilst much research has focussed on t…
Emergent rheotaxis of shape-changing swimmers in Poiseuille flow
Benjamin J. Walker, Kenta Ishimoto, Clément Moreau +2
A simple model for the motion of shape-changing swimmers in Poiseuille flow was recently proposed and numerically explored by Omori et al. (2022). These explorations hinted that a…
Modelling mechanically dominated vasculature development
Benjamin J. Walker, Adriana T. Dawes
Vascular networks play a key role in the development, function, and survival of many organisms, facilitating transport of nutrients and other critical factors within and between sy…
The effects of rapid yawing on simple swimmer models and planar Jeffery's orbits
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney +2
Over a sufficiently long period of time, or from an appropriate distance, the motion of many swimmers can appear smooth, with their trajectories appearing almost ballistic in natur…
Control and controllability of microswimmers by a shearing flow
Clément Moreau, Kenta Ishimoto, Eamonn A. Gaffney +1
With the continuing rapid development of artificial microrobots and active particles, questions of microswimmer guidance and control are becoming ever more relevant and prevalent.…
The control of particles in the Stokes limit
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney +1
There are numerous ways to control objects in the Stokes regime, with microscale examples ranging from the use of optical tweezers to the application of external magnetic fields. I…
Regularised non-uniform segments and efficient no-slip elastohydrodynamics
Benjamin J. Walker, Eamonn A. Gaffney
The elastohydrodynamics of slender bodies in a viscous fluid have long been the source of theoretical investigation, being pertinent to the microscale world of ciliates and flagell…
Efficient simulation of filament elastohydrodynamics in three dimensions
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney
Fluid-structure simulations of slender inextensible filaments in a viscous fluid are often plagued by numerical stiffness. Recent coarse-graining studies have reduced the computati…
The pairwise hydrodynamic interactions of synchronized spermatozoa
Benjamin J. Walker, Kenta Ishimoto, Eamonn A. Gaffney
The journey of mammalian spermatozoa in nature is well-known to be reliant on their individual motility. Often swimming in crowded microenvironments, the progress of any single swi…
Filament mechanics in a half-space via regularised Stokeslet segments
Benjamin J. Walker, Kenta Ishimoto, Hermes Gadêlha +1
We present a generalisation of efficient numerical frameworks for modelling fluid-filament interactions via the discretisation of a recently-developed, non-local integral equation…
Automated identification of flagella from videomicroscopy via the medial axis transform
Benjamin J. Walker, Kenta Ishimoto, Richard J. Wheeler
Ubiquitous in eukaryotic organisms, the flagellum is a well-studied organelle that is well-known to be responsible for motility in a variety of organisms. Commonly necessitated in…