15 citations · 33 across the 17 of their papers we have counts for
4 papers · 1 filter
Chemotaxis and Haptotaxis on Cellular Level
Aaron Brunk, Niklas Kolbe, Nikolaos Sfakianakis
Chemotaxis and haptotaxis have been a main theme in the macroscopic study of bacterial and cellular motility. In this work we investigate the influence these processes have on the…
Energy intake functions of ectotherms and endotherms derived from their body mass growth
Jan Werner, Nikolaos Sfakianakis, Alan Rendall +1
How animals allocate energy to different body functions is still not completely understood and a challenging topic until recently. Here, we investigate in more detail the allocatio…
Numerical simulation of a contractivity based multiscale cancer invasion model
Niklas Kolbe, Maria Lukacova-Medvidova, Nikolaos Sfakianakis +1
We present a problem-suited numerical method for a particularly challenging cancer invasion model. This model is a multiscale haptotaxis advection-reaction-diffusion system that de…
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…