3 citations · 3 across the 1 of their papers we have counts for
3 papers
A multiscale approach to the migration of cancer stem cells: mathematical modelling and simulations
Nikolaos Sfakianakis, Niklas Kolbe, Nadja Hellmann +1
We propose a multiscale model of the invasion of the extracellular matrix by two types of cancer cells, the differentiated cancer cells and the cancer stem cells. We assume that th…
A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix
Nadja Hellmann, Niklas Kolbe, Nikolaos Sfakianakis
Current biological knowledge supports the existence of a secondary group of cancer cells within the body of the tumour that exhibits stem cell-like properties. These cells are term…
Numerical study of cancer cell invasion dynamics using adaptive mesh refinement: the urokinase model
Niklas Kolbe, Jana Katuchova, Nikolaos Sfakianakis +2
In the present work we investigate the chemotactically and proteolytically driven tissue invasion by cancer cells. The model employed is a system of advection-reaction-diffusion eq…