7 citations · 8 across the 3 of their papers we have counts for
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From Finite to Continuous Phenotypes in (Visco-)Elastic Tissue Growth Models
Tomasz Dębiec, Mainak Mandal, Markus Schmidtchen
In this study, we explore a mathematical model for tissue growth focusing on the interplay between multiple cell subpopulations with distinct phenotypic characteristics. The model…
The approximation of the quadratic porous medium equation via nonlocal interacting particles subject to repulsive Morse potential
Marco Di Francesco, Valeria Iorio, Markus Schmidtchen
We propose a deterministic particle method for a one-dimensional nonlocal equation with interactions through the repulsive Morse potential. We show that the particle method converg…
Splitting Schemes & Segregation In Reaction-(Cross-)Diffusion Systems
José A. Carrillo, Simone Fagioli, Filippo Santambrogio +1
One of the most fascinating phenomena observed in reaction-diffusion systems is the emergence of segregated solutions, i.e. population densities with disjoint supports. We analyse…