Mathematical modeling and numerical simulations are used to study biological and biomedical problems of current interest. These include, but are not restricted to:
- The influence of cancer stem cells on tumor growth and therapy.
- The evolution of vector transmission (Chagas, West Nile, etc.) epidemics, including the dynamics of the vector populations and their interaction with vertebrate reservoirs.
- The interaction between T. cruzi and the affected mammal immune system.
- The generation of circadian rhythms at cell level and the formation of spatio-temporal patterns in the suprachiasmatic nucleus.
- The dynamics of self-propelled particles under the influence of long range interactions or confining surfaces.
- The properties of neuronal systems, in order to provide theoretical support for the study of nerve systems and for the use of neural networks for computational applications.