Research interests
With my research, I want to answer questions in biology using mathematical tools. I have worked on mechanical models in developmental biology (epithelial-to-mesenchymal transitions), muscle dynamics, molecular dynamics and phage-bacterial interactions.
My mathematical toolset includes mathematical modelling with ordinary, stochastic and partial differential equations. An emphasis lies on constrained systems such as differential inclusions and differential-algebraic equations. My key experties is the implementation of efficient numerical simulations for such models and the development of models in collaboration with biologists.
Current projects
The results shown in this section are work in progress.
Stages of tenary lymphoid tissues growth
Sep 2024 – present
Goal: The role TLT in kidney disease is not well understood. We use models to capture their development.
Sep 2024 – present
Goal: The role TLT in kidney disease is not well understood. We use models to capture their development.
Computational model for in vitro limb morphogenesis
Oct 2023 – present
Goal: Symmetry breaking and elongation in limb-like organoids.
Oct 2023 – present
Goal: Symmetry breaking and elongation in limb-like organoids.
Cell migration model for plithotaxis
Jun 2021 – present
Goal: Development of an agent-based cell migration model for plithotaxis.
Jun 2021 – present
Goal: Development of an agent-based cell migration model for plithotaxis.
First-order position-based dynamics
Oct 2020 – present
Goal: Numerical analysis of a very simple, but equally fast and stable numerical method from computer graphics.
Oct 2020 – present
Goal: Numerical analysis of a very simple, but equally fast and stable numerical method from computer graphics.
Completed projects
Mechanical modelling of epithelial-to-mesenchymal transitions
Oct 2019 – Aug 2024
Goal: Modelling of different EMT scenarios to study their effect on metastasis. (Read more...)
Oct 2019 – Aug 2024
Goal: Modelling of different EMT scenarios to study their effect on metastasis. (Read more...)
Mean-field limit for constrained particles
Mar 2018 – Mar 2022
Goal: Proof of the mean-field limit for an abstraction of a muscle tissue model.
Mar 2018 – Mar 2022
Goal: Proof of the mean-field limit for an abstraction of a muscle tissue model.
Sara Merino-Aceituno and me exploring an interactive simulation of our cell migration model for plithotaxis. This was part of an outreach activity that I developed for the “Long night of Science” in Vienna.