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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
On a mathematical model for tissue regeneration
Shimi Chettiparambil Mohanan, Nishith Mohan, Christina Surulescu
We propose a PDE-ODE model for tissue regeneration, obtained by parabolic upscaling from kinetic transport equations written for the mesoscopic densities of mesenchymal stem cells…