Numerical PDEs for Modeling Cellular Biophysics

Abstract: Many biological processes, such as how cells move toward light (phototaxis) or polarize, are well-observed but lack precise quantitative models because the underlying physics are computationally difficult to simulate. This project aims to bridge the gap between qualitative observation and predictive biology by developing highly efficient numerical tools to solve the partial differential equations (PDEs) that govern cellular behavior. By adapting recent algorithmic advances in numerical analysis, the researchers will build high-throughput simulators capable of resolving complex biophysical phenomena, such as light propagation within cellular structures. Ultimately, these tools will empower scientists to convert empirical measurements into rigorous, quantitative models of cellular life.