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 | 29 | 2017 |
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 | 24 | 2016 |
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 | 20 | 2020 |
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 | 19 | 2022 |
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 | 15 | 2016 |
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 | 13 | 2017 |
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 | 10 | 2019 |
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 | 9 | 2022 |
Central schemes for networked scalar conservation laws M Herty, N Kolbe, S Müller arXiv preprint arXiv:2209.05137, 2022 | 7 | 2022 |
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 | 7 | 2022 |
Data‐driven models for traffic flow at junctions M Herty, N Kolbe Mathematical Methods in the Applied Sciences 47 (11), 8946-8968, 2024 | 5 | 2024 |
Mathematical modelling and numerical simulations of cancer invasion N Kolbe Master's thesis, Johannes Gutenberg-Universit at Mainz, 2013 | 5 | 2013 |
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 | 4 | 2022 |
Chemotaxis and haptotaxis on cellular level A Brunk, N Kolbe, N Sfakianakis Theory, Numerics and Applications of Hyperbolic Problems I: Aachen, Germany …, 2018 | 4 | 2018 |
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 | 3 | 2017 |
A central scheme for two coupled hyperbolic systems M Herty, N Kolbe, S Müller Communications on Applied Mathematics and Computation, 1-26, 2023 | 2 | 2023 |
Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws N Kolbe PAMM 23 (1), e202200150, 2023 | 1 | 2023 |
A tumor invasion model for heterogeneous cancer cell populations: mathematical analysis and numerical methods N Kolbe Dissertation, Mainz, Johannes Gutenberg-Universität, 2017, 2017 | 1 | 2017 |
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 | 1 | 2016 |
Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model N Kolbe arXiv preprint arXiv:2405.21005, 2024 | | 2024 |