Epigenetic and geometrical characterisation of cancer cell populations: A personalised-medicine oriented mathematical study of tumour evolutionary dynamics and therapies

<p dir="ltr">The thesis focuses on oncological mathematics, developing various mathematical models with distinct theoretical approaches to describe the evolution of tumour masses. It considers the epigenetic and geometric characterisation of cancer cell populations, their interaction with the environment, and the application of therapies. Key objectives achieved include the qualitative and quantitative reproduction of clinical observations using biologically consistent models, the utilisation of models for predictive purposes, and the establishment of design strategies for patient-specific protocols. This work introduces novel modelling approaches, contributes to a deeper understanding of tumour dynamics, and supports the advancement of personalised medicine.</p>