2 citations · 3 across the 11 of their papers we have counts for
12 papers
Condition number for finite element discretisation of nonlocal PDE systems with applications to biology
Olusegun E. Adebayo, Raluca Eftimie, Dumitru Trucu
In this work, we investigate the condition number for a system of coupled non-local reaction-diffusion-advection equations developed in the context of modelling normal and abnormal…
Nonlocal multiscale modelling of tumour-oncolytic viruses interactions within a heterogeneous fibrous/non-fibrous extracellular matrix
Abdulhamed Alsisi, Raluca Eftimie, Dumitru Trucu
In this study we investigate computationally tumour-oncolytic virus(OV) interactions that take place within a heterogeneous ExtraCellular Matrix (ECM). The ECM is viewed as a mixtu…
Reconstruction of Mutation Laws in Heterogeneous Tumours with Local and Nonlocal Dynamics
Maher Alwuthaynani, Raluca Eftimie, Dumitru Trucu
Cancer cell mutations occur when cells undergo multiple cell divisions, and these mutations can be spontaneous or environmentally-induced. The mechanisms that promote and sustain t…
Mathematical modelling of glioblastomas invasion within the brain: a 3D multi-scale moving-boundary approach
Szabolcs Suveges, Kismet Hossain-Ibrahim, J. Douglas Steele +2
Brain-related experiments are limited by nature, and so biological insights are often restricted or absent. This is particularly problematic in the context of brain cancers, which…
Re-polarisation of macrophages within a multi-scale moving boundary tumour invasion model
Szabolcs Suveges, Raluca Eftimie, Dumitru Trucu
Cancer invasion of the surrounding tissue is a multiscale process that involves not only tumour cells but also other immune cells in the environment, such as the tumour-associated…
Cell-scale degradation of peritumoural extracellular matrix fibre network and its role within tissue-scale cancer invasion
Robyn Shuttleworth, Dumitru Trucu
Local cancer invasion of tissue is a complex, multiscale process which plays an essential role in tumour progression. Occurring over many different temporal and spatial scales, the…