184 citations · 704 across the 38 of their papers we have counts for
8 papers · 1 filter
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)…
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…
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…
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…
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…
Models, measurement and inference in epithelial tissue dynamics
O. J. Maclaren, A. G. Fletcher, H. M. Byrne +1
The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review…
Mesoscopic and continuum modelling of angiogenesis
Fabian Spill, Pilar Guerrero, Tomas Alarcon +2
Angiogenesis is the formation of new blood vessels from pre-existing ones in response to chemical signals secreted by, for example, a wound or a tumour. In this paper, we propose a…