Zobrazeno 1 - 10
of 460
pro vyhledávání: '"Gaffney, Eamonn A"'
This paper illustrates a further application of topological data analysis to the study of self-organising models for chemical and biological systems. In particular, we investigate whether topological summaries can capture the parameter dependence of
Externí odkaz:
http://arxiv.org/abs/2409.20491
Autor:
Krause, Andrew L., Klika, Václav, Villar-Sepúveda, Edgardo, Champneys, Alan R., Gaffney, Eamonn A.
Theories of localised pattern formation are important to understand a broad range of natural patterns, but are less well-understood than more established mechanisms of domain-filling pattern formation. Here, we extend recent work on pattern localisat
Externí odkaz:
http://arxiv.org/abs/2409.13043
Autor:
Lamirande, Patricia, Gaffney, Eamonn A., Gertz, Michael, Maini, Philip K., Crawshaw, Jessica R., Caruso, Antonello
Publikováno v:
Invest Ophthalmol Vis Sci. 2024;65(12):21
Purpose: Standard of care for various retinal diseases involves recurrent intravitreal injections. This motivates mathematical modelling efforts to identify influential factors for drug residence time, aiming to minimise administration frequency. We
Externí odkaz:
http://arxiv.org/abs/2404.04086
This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven instability has primarily centred on stationary solutions, considerab
Externí odkaz:
http://arxiv.org/abs/2403.09247
Autor:
Moreau, Clément, Walker, Benjamin J., Poon, Rebecca N., Soto, Daniel, Goldman, Daniel I., Gaffney, Eamonn A., Wan, Kirsty Y.
We study an elastic filament beating in a viscous fluid with curvature-dependent bending stiffness. Our numerical and experimental investigations reveal that such differential stiffness can sustain planar bending waves far along flexible filaments. I
Externí odkaz:
http://arxiv.org/abs/2402.13844
Autor:
Krause, Andrew L., Gaffney, Eamonn A., Jewell, Thomas Jun, Klika, Václav, Walker, Benjamin J.
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--diffusion theory, which connects cellular signalling and transport with the
Externí odkaz:
http://arxiv.org/abs/2308.15311
Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their vision of other anim
Externí odkaz:
http://arxiv.org/abs/2307.03117
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 swimmers, in this two-part study we examine the three-dimensional motion of
Externí odkaz:
http://arxiv.org/abs/2301.11311
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, we derive and analyse governing equations for rapidly spinning comple
Externí odkaz:
http://arxiv.org/abs/2301.11032
As motivated by studies of cellular motility driven by spatiotemporal chemotactic gradients in microdevices, we develop a framework for constructing approximate analytical solutions for the location, speed and cellular densities for cell chemotaxis w
Externí odkaz:
http://arxiv.org/abs/2210.14217