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Niklas Kolbe
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A multiscale approach to the migration of cancer stem cells: Mathematical modelling and simulations
N Sfakianakis, N Kolbe, N Hellmann, M Lukáčová-Medvid’ová
Bulletin of mathematical biology 79, 209-235, 2017
292017
A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model
N Kolbe, J Kat’uchová, N Sfakianakis, N Hellmann, ...
Applied Mathematics and Computation 273, 353-376, 2016
232016
Modeling multiple taxis: Tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
N Kolbe, N Sfakianakis, C Stinner, C Surulescu, J Lenz
arXiv preprint arXiv:2005.01444, 2020
192020
Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs
A Dietrich, N Kolbe, N Sfakianakis, C Surulescu
Multiscale Modeling & Simulation 20 (2), 685-713, 2022
182022
A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix
N Hellmann, N Kolbe, N Sfakianakis
Bulletin of the Brazilian Mathematical Society, New Series 47, 397-412, 2016
152016
Existence and uniqueness of global classical solutions to a two species cancer invasion haptotaxis model
J Giesselmann, N Kolbe, M Lukacova-Medvidova, N Sfakianakis
arXiv preprint arXiv:1704.08208, 2017
132017
A hybrid mass transport finite element method for Keller–Segel type systems
JA Carrillo, N Kolbe, M Lukáčová-Medvid’ová
Journal of Scientific Computing 80, 1777-1804, 2019
102019
An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models
N Kolbe, N Sfakianakis
Journal of Computational and Applied Mathematics 416, 114442, 2022
82022
A mass-preserving two-step Lagrange–Galerkin scheme for convection-diffusion problems
K Futai, N Kolbe, H Notsu, T Suzuki
Journal of Scientific Computing 92 (2), 37, 2022
72022
Central schemes for networked scalar conservation laws
M Herty, N Kolbe, S Müller
arXiv preprint arXiv:2209.05137, 2022
62022
Mathematical modelling and numerical simulations of cancer invasion
N Kolbe
Master's thesis, Johannes Gutenberg-Universit at Mainz, 2013
52013
Chemotaxis and haptotaxis on cellular level
A Brunk, N Kolbe, N Sfakianakis
Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany …, 2018
42018
Data-based stochastic modeling reveals sources of activity bursts in single-cell TGF-β signaling
N Kolbe, L Hexemer, LM Bammert, A Loewer, M Lukáčová-Medvid’ová, ...
PLOS Computational Biology 18 (6), e1010266, 2022
32022
Numerical simulation of a contractivity based multiscale cancer invasion model
N Kolbe, M Lukáčová-Medvid’ová, N Sfakianakis, B Wiebe
Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization …, 2017
32017
Data-driven models for traffic flow at junctions
M Herty, N Kolbe
arXiv preprint arXiv:2212.08912, 2022
22022
A Central Scheme for Two Coupled Hyperbolic Systems
M Herty, N Kolbe, S Müller
Communications on Applied Mathematics and Computation, 1-26, 2023
12023
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
N Kolbe
PAMM 23 (1), e202200150, 2023
12023
A tumor invasion model for heterogeneous cancer cell populations: mathematical analysis and numerical methods
N Kolbe
Dissertation, Mainz, Johannes Gutenberg-Universität, 2017, 2017
12017
A flexible multidimensional rectangular mesh administration and refinement technique with application in cancer invasion models
N Kolbe, N Sfakianakis
Preprint, https://arxiv. org/abs/1706.06191, 2016
12016
A one-dimensional model for aspiration therapy in blood vessels
M Herty, N Kolbe, M Neidlin
arXiv preprint arXiv:2403.05494, 2024
2024
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