Report Title：On tumor growth PDEs and metabolic imaging biomarkers

Reporter：Professor Víctor M. Pérez-García

Affiliation: University of Castilla-La Mancha, Spain

Report Time: 10：30-11：30 June 18, 2026

Report Location: Room 105, Zhengxin Building

University Contact: Wei Yuanhong ([email protected])

Abstract:

Human cancers are biologically and morphologically heterogeneous. A variety of clonal populations emerge within these neoplasms and their interaction leads to complex spatiotemporal dynamics during tumor growth. These phenomena can be described using different continuous PDEs and discrete mathematical models whose dynamics can be matched to real tumor imaging data. The numerical study of the models reveals that the location of increasingly active proliferative cellular spots drifts from the center of the tumor to the periphery, as a result of the competition between gradually more aggressive phenotypes. I will discuss how those findings can be used to develop metrics that can be obtained from images of tumor metabolism that allow to classify tumor’s aggressivenes thus being of direct clinical applicability.

Bio:

Professor Victor M. Pérez-García is a professor in the Department of Applied Mathematics at the University of Castilla-La Mancha, Spain, and the director of the Mathematical Oncology Laboratory. His main research interests lie in partial differential equations and mathematical modeling in oncology.