4 papers
Mathematical modeling of glioma invasion and therapy approaches via kinetic theory of active particles
Martina Conte, Yvonne Dzierma, Sven Knobe +1
We propose here a multiscale model for study the effect of combined therapies on glioma spread in the brain under the influence of vascularization. The model accounts for the inter…
Randomness-aware multiscale models of glioma invasion and treatment
Martina Conte, Sandesh Hiremath, Christina Surulescu
In this work, we develop a stochastic multiscale model for glioma growth and invasion in the brain, incorporating the effects of therapeutic interventions. The model accounts for t…
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,…
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…