Mathematical Biology and Medicine

Advanced mathematical models and algorithms are often required to study complex phenomena in biology and medicine. Important issues that are addressed in the department include modeling the mechanisms of cell mitosis, or the transition from healthy tissue to cancer, analyzing genomic data in relation with various type of diseases, understanding the modalities of progressive atrophy in brain neurodegenerative diseases or the impact of infarcts in cardiac dynamics. Various areas of pure and applied mathematics are needed for such research, such as Riemannian geometry, functional analysis, dynamical systems, partial differential equations, optimization, stochastic processes, statistics, and machine learning.