Publications

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(2024). Influx ratio preserving coupling conditions for the networked Lighthill-Whitham-Richards model. Submitted.

Preprint arXiv

(2024). A one-dimensional model for aspiration therapy in blood vessels. Preprint.

Preprint arXiv

(2024). Error Estimates for First- and Second-Order Lagrange-Galerkin Moving Mesh Schemes for the One-Dimensional Convection-Diffusion Equation. Submitted.

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(2023). Numerical schemes for coupled systems of nonconservative hyperbolic equations. Accepted in SIAM Journal on Numerical Analysis.

Preprint arXiv

(2023). A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model. Submitted.

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(2023). A data-driven microscopic on-ramp model based on macroscopic network flows. Submitted.

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(2023). A central scheme for coupled hyperbolic systems. Communications on Applied Mathematics and Computation.

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(2022). Data-Driven Models for Traffic Flow at Junctions. Mathematical Methods in the Applied Sciences.

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(2022). Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws. Proceedings in Applied Mathematics and Mechanics.

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(2022). Central schemes for networked scalar conservation laws. Networks and Heterogeneous Media.

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(2022). Data-based stochastic modeling reveals sources of activity bursts in single-cell TGF-β signaling. PLOS Computational Biology.

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(2021). A mass-conservative Lagrange-Galerkin scheme of second order in time for convection-diffusion problems. Journal of Scientific Computing.

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(2021). An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models. Journal of Computational and Applied Mathematics.

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(2021). Multiscale modeling of glioma invasion: from receptor binding to flux-limited macroscopic PDEs. Multiscale Modeling and Simulation.

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(2020). Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence. Discrete Contin. Dyn. Syst. Ser. B.

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(2019). A hybrid mass transport finite element method for Keller–Segel type systems. J. Sci. Comput.

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(2018). Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model. Discrete Contin. Dyn. Syst. Ser. B.

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(2018). Chemotaxis and Haptotaxis on Cellular Level. Theory, Numerics and Applications of Hyperbolic Problems I.

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(2018). A tumor invasion model for heterogeneous cancer cell populations: mathematical analysis and numerical methods. PhD Thesis.

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(2017). Numerical Simulation of a Contractivity Based Multiscale Cancer Invasion Model. Multiscale Models in Mechano and Tumor Biology.

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(2017). A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations. Bull. Math. Biol.

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(2016). A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model. Appl. Math. Comput.

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(2016). A mathematical insight in the epithelial-mesenchymal-like transition in cancer cells and its effect in the invasion of the extracellular matrix. Bull. Braz. Math. Soc. (N.S.).

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