5 papers · 1 filter
Modelling the impact of synovial fluid elasticity on tangential stress
Eamonn A. Gaffney, Cameron P. Brown, Jonathan P. Whiteley
The rheological properties of synovial fluid have been observed to substantially impact its lubricating behaviour. While numerous studies have illustrated the importance of its she…
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Chase-and-run dynamics, in which one population pursues another that flees from it, are found throughout nature, from predator-prey interactions in ecosystems to the collective mot…
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…
Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
Václav Klika, Mohit P. Dalwadi, Andrew L. Krause +1
Integral asymptotics play an important role in the analysis of differential equations and in a variety of other settings. In this work, we apply an integral asymptotics approach to…
A new local time-decoupled squared Wasserstein-2 method for training stochastic neural networks to reconstruct uncertain parameters in dynamical systems
Mingtao Xia, Qijing Shen, Philip Maini +2
In this work, we propose and analyze a new local time-decoupled squared Wasserstein-2 method for reconstructing the distribution of unknown parameters in dynamical systems. Specifi…