Group description
Currently, we have two major interests: 1) the development of adequate mathematical and computational techniques for biomedical problems, including data analysis and agent based models for cellular aggregates, 2) inverse problems and imaging, including optimization with differential constraints, bayesian approaches and Markov Chain Monte Carlo sampling.
In previous years, we have made contributions to the modeling, numerical simulation and mathematical analysis of topics in biological sciences (pattern formation in cellular aggregates, protein folding and unfolding, nerve impulse propagation, angiogenesis, analysis of cancer data), imaging (holographic techniques, inverse scattering in acoustics, photodetection and electromagnetism), materials science (defects and ripples in graphene, dislocation nucleation and motion in crystals, nucleation and aggregation processes, oscillations in semiconductors, nonlinear waves in oscillator networks), as well as to the analysis of fluid mechanics equations, nonlinear wave equations, and integrodifferential kinetic models.
We have projects, contacts and publications with researchers from Harvard University, Stanford University, MIT, UC Santa Barbara, UC Berkeley, Duke University, New York University, Oxford University, Paris-Sorbonne Universités, Technische Universität Berlin, and also from institutions such as the Sloan Kettering Cancer Center, the Institut Curie, the National Center of Biotechnlogy, and Hospitals of the Madrid area.