51 citations · 160 across the 25 of their papers we have counts for
27 papers
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…
On a PDE-ODE-PDE model for two interacting cell populations under the influence of an acidic environment and with nonlocal intra- and interspecific growth limitation
Maria Eckardt, Christina Surulescu
We consider a model for the dynamics of active cells interacting with their quiescent counterparts under the influence of acidity characterized by proton concentration. The active…
An in-silico approach to meniscus tissue regeneration: Modeling, numerical simulation, and experimental analysis
Elise Grosjean, Alex Keilmann, Henry Jäger +10
We develop a model the dynamics of human mesenchymal stem cells (hMSCs) and chondrocytes evolving in a nonwoven polyethylene terephtalate (PET) scaffold impregnated with hyaluron a…
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…