Ana Carpio, Applied Mathematics - Research

Our group has made contributions to the mathematical analysis, numerical simulation and modeling of a variety of topics in applied sciences:
  • Biological sciences: pattern formation in biofilms, protein folding and unfolding, nerve impulse propagation, angiogenesis.
  • Imaging: noninvasive imaging of biological samples by holographic techniques, variational methods for inverse scattering problems in acoustics, photodetection and electromagnetism.
  • Materials science: defects and ripples in graphene, dislocation nucleation and motion in crystals, nucleation of bubbles in radioactive waste, aggregation processes to form particles, domain walls and oscillations in semiconductor superlattices.
  • Nonlinear waves in oscillator networks and discrete reaction-diffusion systems.
  • Long time behavior and well posedness in: fluid mechanics equations, nonlinear wave equations,  integrodifferential kinetic models for plasmas, semiconductors and cellular systems.
Biomedicine and nanotechnology are currently active areas of research in need of new ideas and adequate mathematical techniques, goal to which we plan to devote our efforts for the next years. 

last modified: 4-Nov-2016