15 citations · 16 across the 4 of their papers we have counts for
7 papers
Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs
Anne Dietrich, Niklas Kolbe, Nikolaos Sfakianakis +1
We propose a novel approach to modeling cell migration in an anisotropic environment with biochemical heterogeneity and interspecies interactions, using as a paradigm glioma invasi…
Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
Niklas Kolbe, Nikolaos Sfakianakis, Christian Stinner +2
We provide a short review of existing models with multiple taxis performed by (at least) one species and consider a new mathematical model for tumor invasion featuring two mutually…
Modelling cell-cell collision and adhesion with the Filament Based Lamellipodium Model
Nikolaos Sfakianakis, Diane Peurichard, Aaron Brunk +1
We extend the live-cell motility Filament Based Lamellipodium Model to incorporate the forces exerted on the lamellipodium of the cells due to cell-cell collision and cadherin indu…
A Hybrid Multiscale Model for Cancer Invasion of the Extracellular Matrix
Nikolaos Sfakianakis, Anotida Madzvamuse, Mark A. J. Chaplain
The ability to locally degrade the extracellular matrix (ECM) and interact with the tumour microenvironment is a key process distinguishing cancer from normal cells, and is a criti…
Stability, convergence, and sensitivity analysis of the Filament Based Lamellipodium Model and the corresponding FEM
Nikolaos Sfakianakis, Aaron Brunk
This paper focuses on the study of the Filament Based Lamellipodium Model (FBLM) and the corresponding Finite Element Method (FEM) from a numerical point of view. We study fundamen…
Numerical treatment of the Filament Based Lamellipodium Model (FBLM)
A. Manhart, D. Oelz, C. Schmeiser +1
We describe in this work the numerical treatment of the Filament Based Lamellipodium Model (FBLM). The model itself is a two-phase two-dimensional continuum model, describing the d…