6 papers · 1 filter
Identifying and characterising the impact of excitability in a mathematical model of tumour-immune interactions
Ana Osojnik, Eamonn A. Gaffney, Michael Davies +2
We study a five-compartment mathematical model originally proposed by Kuznetsov et al. (1994) to investigate the effect of nonlinear interactions between tumour and immune cells in…
Pattern formation in reaction-diffusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics
Michal Kozák, Eamonn A Gaffney, Václav Klika
The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we impleme…
From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ
Andrew L. Krause, Václav Klika, Thomas E. Woolley +1
Pattern formation from homogeneity is well-studied, but less is known concerning symmetry-breaking instabilities in heterogeneous media. It is nontrivial to separate observed spati…
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…