184 citations · 704 across the 38 of their papers we have counts for
41 papers
Homogenisation of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity
Y. Ben-Ami, B. D. Wood, J. M. Pitt-Francis +2
In this work we develop a homogenisation methodology to upscale mathematical descriptions of microcirculatory blood flow from the microscale (where individual vessels are resolved)…
Relational persistent homology for multispecies data with application to the tumor microenvironment
Bernadette J. Stolz, Jagdeep Dhesi, Joshua A. Bull +3
Topological data analysis (TDA) is an active field of mathematics for quantifying shape in complex data. Standard methods in TDA such as persistent homology (PH) are typically focu…
Topological classification of tumour-immune interactions and dynamics
Jingjie Yang, Heidi Fang, Jagdeep Dhesi +5
The complex and dynamic crosstalk between tumour and immune cells results in tumours that can exhibit distinct qualitative behaviours - elimination, equilibrium, and escape - and i…
Investigating the influence of growth arrest mechanisms on tumour responses to radiotherapy
Chloé Colson, Philip K. Maini, Helen M. Byrne
Cancer is a heterogeneous disease and tumours of the same type can differ greatly at the genetic and phenotypic levels. Understanding how these differences impact sensitivity to tr…
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…
Equivariant vector bundles on Drinfeld's halfspace over a finite field
Sascha Orlik
Let be Drinfeld's halfspace over a finite field and let be a homogeneous vector bundle on . The paper deals w…
Spatio-temporal modelling of phenotypic heterogeneity in tumour tissues and its impact on radiotherapy treatment
Giulia L. Celora, Helen M. Byrne, P. G. Kevrekidis
We present a mathematical model that describes how tumour heterogeneity evolves in a tissue slice that is oxygenated by a single blood vessel. Phenotype is identified with the stem…
Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion
Chloé Colson, Faustino Sánchez-Garduño, Helen M. Byrne +2
In this paper, we carry out a travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion. We consider two types of invasive fronts of tumour…
A method to coarse-grain multi-agent stochastic systems with regions of multistability
Daria Stepanova, Helen M. Byrne, Philip K. Maini +1
Hybrid multiscale modelling has emerged as a useful framework for modelling complex biological phenomena. However, when accounting for stochasticity in the internal dynamics of age…
Explicit physics-informed neural networks for non-linear upscaling closure: the case of transport in tissues
Ehsan Taghizadeh, Helen M. Byrne, Brian D. Wood
In this work, we use a combination of formal upscaling and data-driven machine learning for explicitly closing a nonlinear transport and reaction process in a multiscale tissue. Th…
Phenotypic variation modulates the growth dynamics and response to radiotherapy of solid tumours under normoxia and hypoxia
Giulia L. Celora, Helen M. Byrne, Christos Zois +1
In cancer, treatment failure and disease recurrence have been associated with small subpopulations of cancer cells with a stem-like phenotype. In this paper, we develop and investi…
Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis
John T. Nardini, Bernadette J. Stolz, Kevin B. Flores +2
Angiogenesis is the process by which blood vessels form from pre-existing vessels. It plays a key role in many biological processes, including embryonic development and wound heali…
A shell model of eye growth and elasticity
L. S. Kimpton, B. J. Walker, C. L. Hall +4
The eye grows during childhood to position the retina at the correct distance behind the lens to enable focused vision, a process called emmetropization. Animal studies have demons…
Multiscale Topology Characterises Dynamic Tumour Vascular Networks
Bernadette J. Stolz, Jakob Kaeppler, Bostjan Markelc +5
Advances in imaging techniques enable high resolution 3D visualisation of vascular networks over time and reveal abnormal structural features such as twists and loops, and their qu…