A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth
M Bagherpoorfard, AR Soheili - Computational Methods for …, 2021 - cmde.tabrizu.ac.ir
… model for avascular tumor growth, three-phase continuous, Sherratt and Chaplain model.
This … In this section, we will address the resolution of the avascular tumor growth model by the …
This … In this section, we will address the resolution of the avascular tumor growth model by the …
A single-cell-based model of tumor growth in vitro: monolayers and spheroids
… -mediated form of growth inhibition during the experimentally … growth at sufficiently large
tumor sizes. Our simulations show that the same transition during the growth of avascular tumor …
tumor sizes. Our simulations show that the same transition during the growth of avascular tumor …
[HTML][HTML] Front instabilities and invasiveness of simulated 3D avascular tumors
NJ Poplawski, A Shirinifard, U Agero, JS Gens, M Swat… - PloS one, 2010 - journals.plos.org
… growing avascular 3D tumors before we proceed to investigate how and affect vascular tumors
… justify using simpler 2D models of tumor growth instead of 3D models in some cases. We …
… justify using simpler 2D models of tumor growth instead of 3D models in some cases. We …
Tumor growth and neovascularization: an experimental model using the rabbit cornea
MA Gimbrone Jr, RS Cotran… - Journal of the …, 1974 - academic.oup.com
… This report describes the use of the rabbit cornea to study prevascular tumor growth and
host's angiogenic response to live tumor cells ane. tumor-angiogenesis factors (TAF's) (3, 6). …
host's angiogenic response to live tumor cells ane. tumor-angiogenesis factors (TAF's) (3, 6). …
[PDF][PDF] Two dimensional mathematical model of tumor angiogenesis: coupling of avascular growth and vascularization
F Hosseini, N Naghavi - Iranian Journal of Medical Physics, 2015 - researchgate.net
… models, … of avascular/vascular tumor growth has been coupled with the angiogenesis process
[39… tumor angiogenesis process with avascular tumor growth, particularly ECM invasion by …
[39… tumor angiogenesis process with avascular tumor growth, particularly ECM invasion by …
Simulation of avascular tumor growth and drug response in a microfluidic device with a cellular automaton model
… into computational simulations to model the growth of avascular tumors over time and …
avascular tumor progression by investigating the impact of glucose, the main growth nutrient in cell …
avascular tumor progression by investigating the impact of glucose, the main growth nutrient in cell …
Numerical simulation of avascular tumor growth based on p27 gene regulation
Y Zhou, J Chen, X Dai, Y Cai, W Yao, S Xu… - Applied Mathematics and …, 2013 - Springer
… 2 Model and equation In this paper, we simulated the avascular tumor growth based on
the … in the multi-scale level, including the tissue level, the cell level, and the molecule level. …
the … in the multi-scale level, including the tissue level, the cell level, and the molecule level. …
Modelling the formation of necrotic regions in avascular tumours
MJ Tindall, CP Please, MJ Peddie - Mathematical biosciences, 2008 - Elsevier
… we use a simple model of the cell cycle to consider the effects of cell death from … cell matter
accumulation through either necrosis and/or apoptosis has on the overall tumour development…
accumulation through either necrosis and/or apoptosis has on the overall tumour development…
Spatial avascular growth of tumor in a homogeneous environment
… Spatio-temporal model for tumor growth The present work is devoted to the modeling of
avascular tumor growth in a spatial two-dimensional Euclidean lattice in which each site is …
avascular tumor growth in a spatial two-dimensional Euclidean lattice in which each site is …