4 papers
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…
Cell seeding dynamics in a porous scaffold material designed for meniscus tissue regeneration
Henry Jäger, Élise Grosjean, Steffen Plunder +4
We study the dynamics of a seeding experiment where a fibrous scaffold material is colonized by two types of cell populations. The specific application that we have in mind is rela…
A mathematical model for meniscus cartilage regeneration
Elise Grosjean, Bernd Simeon, Christina Surulescu
We propose a continuous model for meniscus cartilage regeneration triggered by two populations of cells migrating and (de)differentiating within an artificial scaffold with a known…
On a mathematical model for cancer invasion with repellent pH-taxis and nonlocal intraspecific interaction
Maria Eckardt, Christina Surulescu
Starting from a mesoscopic description of cell migration and intraspecific interactions we obtain by upscaling an effective reaction-difusion-taxis equation for the cell population…