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math.AP2025
Mathematical modeling of Buruli ulcer spread
Shimi Chettiparambil Mohanan, Christina Surulescu, Neslihan Nesliye Pelen
We propose two approaches to a model deduction for Buruli ulcer spread in a tissue, prove global existence of solutions to the obtained macroscopic cross-diffusion PDE-ODE systems,…
math.AP2024
Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade
Christina Surulescu, Michael Winkler
We propose a mathematical model for tumor invasion supported by angiogenesis and interactions with the surrounding tissue. For the model deduction we employ a multiscale approach s…