My research primarily resides in the field of biomathematics, with a key focus on addressing challenges related to tumor growth and migration. I bring expertise in a range of areas including the study of partial differential equations (PDEs) and ordinary differential equations (ODEs), as well as scientific computing and data analysis.
I work on nonlinear models to investigate various facets of cell migration within multiscale frameworks. These models are either formally derived from kinetic transport equations or directly formulated as macroscopic models. A significant portion of my work is dedicated to the numerical integration of these models and their simulation within realistic geometries.
A crucial aspect of my research involves integrating biological and clinical data into theoretical models. This integration is vital for establishing robust connections between experimental observations and theoretical predictions, ultimately enhancing our understanding of tumor dynamics and improving potential therapeutic strategies.
Multiscale modeling, kinetic equations, macroscopic limits, nonlinear dynamics and partial differential equations, data analysis and integration, and numerical simulation with application in biology and medicine and, specifically, in cancer invasion.