Blood travels throughout the body in an extensive network of vessels–arteries, veins and capillaries. This vascular network is not static, but instead dynamically remodels in response …
FT Musuamba, I Skottheim Rusten… - CPT …, 2021 - Wiley Online Library
The value of in silico methods in drug development and evaluation has been demonstrated repeatedly and convincingly. While their benefits are now unanimously recognized …
Simple Summary The recruitment of new vasculature via angiogenesis is a critical component of tumor development, which fundamentally influences tumor growth and …
Tumor hypoxia is associated with low rates of cell proliferation and poor drug delivery, limiting the efficacy of many conventional therapies such as chemotherapy. Because many …
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 …
D Bresch, T Colin, E Grenier, B Ribba, O Saut - SIAM Journal on Scientific …, 2010 - SIAM
In this paper, we present a mathematical model for avascular tumor growth and its numerical study in two and three dimensions. For this purpose, we use a multiscale model using PDEs …
M Conte, C Surulescu - Applied Mathematics and Computation, 2021 - Elsevier
Starting from kinetic transport equations and subcellular dynamics we deduce a multiscale model for glioma invasion relying on the go-or-grow dichotomy and the influence of …
The multiscale complexity of cancer as a disease necessitates a corresponding multiscale modelling approach to produce truly predictive mathematical models capable of improving …
O Saut, JB Lagaert, T Colin… - Bulletin of mathematical …, 2014 - Springer
The recent use of anti-angiogenesis (AA) drugs for the treatment of glioblastoma multiforme (GBM) has uncovered unusual tumor responses. Here, we derive a new mathematical …