Niklas Kolbe

Latest

• A one-dimensional model for aspiration therapy in blood vessels
• Error Estimates for First- and Second-Order Lagrange-Galerkin Moving Mesh Schemes for the One-Dimensional Convection-Diffusion Equation
• Numerical schemes for coupled systems of nonconservative hyperbolic equations
• A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model
• A data-driven microscopic on-ramp model based on macroscopic network flows
• A central scheme for coupled hyperbolic systems
• Data-Driven Models for Traffic Flow at Junctions
• Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
• Central schemes for networked scalar conservation laws
• Data-based stochastic modeling reveals sources of activity bursts in single-cell TGF-β signaling
• A mass-conservative Lagrange-Galerkin scheme of second order in time for convection-diffusion problems
• An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models
• Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs
• Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence
• A hybrid mass transport finite element method for Keller–Segel type systems
• Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model
• A tumor invasion model for heterogeneous cancer cell populations: mathematical analysis and numerical methods
• Chemotaxis and Haptotaxis on Cellular Level
• A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations
• Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model
• A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix
• A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model