Most physical and biological systems involve material surfaces or interfaces which move and deform over time: from the flow of a fluid droplet to the growth of a biological organ.
To describe such systems, our group develops mathematical models for the complex interplay of fluid, elastic and reactive phases which move, deform and grow over time. We combine methods from mathematics, physics and high-performance computing to numerically simulate the behavior of such systems. Our current focus lies on biological structures such as cells and tissues where our methods help to understand fundamental principles beyond the reach of experimental observations.