184 citations · 704 across the 38 of their papers we have counts for
11 papers · 1 filter
Detecting Temporal shape changes with the Euler Characteristic Transform
Lewis Marsh, Felix Y. Zhou, Xiao Qin +3
Organoids are multi-cellular structures which are cultured in vitro from stem cells to resemble specific organs (e.g., brain, liver) in their three-dimensional composition. Dynamic…
A new lipid-structured model to investigate the opposing effects of LDL and HDL on atherosclerotic plaque macrophages
Keith L Chambers, Mary R Myerscough, Helen M Byrne
Atherosclerotic plaques form in artery walls due to a chronic inflammatory response driven by lipid accumulation. A key component of the inflammatory response is the interaction be…
Macrophage anti-inflammatory behaviour in a multiphase model of atherosclerotic plaque development
Ishraq U. Ahmed, Helen M. Byrne, Mary R. Myerscough
Atherosclerosis is an inflammatory disease characterised by the formation of plaques, which are deposits of lipids and cholesterol-laden macrophages that form in the artery wall. T…
Designing experimental conditions to use the Lotka-Volterra model to infer tumor cell line interaction types
Heyrim Cho, Allison L. Lewis, Kathleen M. Storey +1
The Lotka-Volterra model is widely used to model interactions between two species. Here, we generate synthetic data mimicking competitive, mutualistic and antagonistic interactions…
Dynamic fibronectin assembly and remodeling by leader neural crest cells prevents jamming in collective cell migration
W. Duncan Martinson, Rebecca McLennan, Jessica M. Teddy +6
Collective cell migration plays an essential role in vertebrate development, yet the extent to which dynamically changing microenvironments influence this phenomenon remains unclea…
Two-phase model of compressive stress induced on a surrounding hyperelastic medium by an expanding tumour
Gopikrishnan C. Remesan, Jennifer A Flegg, Helen M Byrne
\emph{In vitro} experiments in which tumour cells are seeded in a gelatinous medium, or hydrogel, show how mechanical interactions between tumour cells and the tissue in which they…
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…
Multiscale methods for signal selection in single-cell data
Renee S. Hoekzema, Lewis Marsh, Otto Sumray +4
Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters.…
Structural features of microvascular networks trigger blood-flow oscillations
Yaron Ben-Ami, George W. Atkinson, Joe M. Pitt-Francis +2
We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics t…
Statistical and Topological Summaries Aid Disease Detection for Segmented Retinal Vascular Images
John T. Nardini, Charles W. J. Pugh, Helen M. Byrne
Disease complications can alter vascular network morphology and disrupt tissue functioning. Diabetic retinopathy, for example, is a complication of types 1 and 2 diabetes mellitus…
Predicting radiotherapy patient outcomes with real-time clinical data using mathematical modelling
Alexander P. Browning, Thomas D. Lewin, Ruth E. Baker +5
Longitudinal tumour volume data from head-and-neck cancer patients show that tumours of comparable pre-treatment size and stage may respond very differently to the same radiotherap…