On a subdiffusive tumour growth model with fractional time derivative

• Published in: IMA journal of applied mathematics Vol. 86; no. 4; pp. 688 - 729
• Main Authors: Fritz, Marvin, Kuttler, Christina, Rajendran, Mabel L, Wohlmuth, Barbara, Scarabosio, Laura
• Format: Journal Article
• Language: English
• Published: Oxford University Press 01.08.2021
• Subjects: mechanical deformation; subdiffusive tumour growth; nonlinear partial differential equation; well posedness; fractional time derivative

Abstract In this work, we present and analyse a system of coupled partial differential equations, which models tumour growth under the influence of subdiffusion, mechanical effects, nutrient supply and chemotherapy. The subdiffusion of the system is modelled by a time fractional derivative in the eq...