PDEs for Biological models with Chemotaxis and Nonlocal effects

PI: Antonio Suárez Fernández
co-PI: Francisco Guillén González 

Abstract: Mathematics has long been intertwined with biological sciences. The synergy between biology and mathematics seems to enrich both fields. Biology is increasingly stimulating the creation of new mathematical theories to explain in a simplified way the complexity of the world of living organisms. On the other hand, the mathematical modeling of the biological phenomena can serve to advise on therapies through numerical experimentation, besides also can confirm or suggest new theoretical lines of research.
In this Project, clearly framed in the applicability of Mathematics in Biology, specifically in population dynamics and tumor evolution, we have three main subjects:
A) Modelling Glioblastoma with PDEs.

B) Reaction-diffusion models with chemotaxis.
C) Diffusion PDEs with nonlocal effects.

Source of Funding: Plan Estatal 2017-2020 Generación Conocimiento – Proyectos I+D+i

Implied entities: University of Sevilla, University of Cádiz

iMAT research line:  RL2. Modeling of Biological Systems and Health                RL7: Numerical Analysis

Researchers:

Antonio Suárez Fernández

Francisco Guillén González

Blanca Climent Ezquerra

Inmaculada Gayte Delgado

José Rafael Rodríguez Galván

Juan Vicente Gutiérrez Santacréu

Cristian Morales Rodrigo

Mónica Molina Becerra

Mª Ángeles Rodríguez Bellido

Mª Teresa González Montesinos