20 citations · 29 across the 4 of their papers we have counts for
4 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)…
Computational modelling of angiogenesis: The importance of cell rearrangements during vascular growth
Daria Stepanova, Helen M. Byrne, Philip K. Maini +1
Angiogenesis is the process wherein endothelial cells (ECs) form sprouts that elongate from the pre-existing vasculature to create new vascular networks. In addition to its essenti…
Analyzing the effect of cell rearrangement on Delta-Notch pattern formation
Toshiki Oguma, Hisako Takigawa-Imamura, Tomoyasu Shinoda +5
The Delta-Notch system plays a vital role in a number of areas in biology and typically forms a salt and pepper pattern in which cells strongly expressing Delta and cells strongly…
A comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments
Aleksandra Ardaševa, Robert A. Gatenby, Alexander R. A. Anderson +3
Deterministic continuum models formulated in terms of non-local partial differential equations for the evolutionary dynamics of populations structured by phenotypic traits have bee…