Our group has made contributions to the
mathematical analysis, numerical simulation and modeling
of a variety of topics in applied sciences:
- Biomedicine:
analysis of
gene expression data and cell migration data in
cancer processes, data studies for immune
disorders, pattern formation in biofilms,
protein folding and unfolding, nerve impulse
propagation, angiogenesis.
- Optimization,
inverse problems and imaging: noninvasive
imaging of biological samples by digital holography
techniques, constrained optimization methods and
bayesian approaches to 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-2020
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