This paper presents a critical review of selected topics related to the modelling of cancer
onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical …

This paper deals with a review and critical analysis on the mathematical kinetic theory of
active particles applied to the modelling of the very early stage of cancer phenomena …

We develop and analyze a mathematical model, in the form of a system of ordinary
differential equations (ODEs), governing cancer growth on a cell population level with …

We investigate a mathematical model of tumor–immune interactions with chemotherapy, and
strategies for optimally administering treatment. In this paper we analyze the dynamics of …

We consider a simple model arising in modeling angiogenesis and more specifically the
development of capillary blood vessels due to an exogenous chemo-attractive signal (solid …

This paper deals with a critical analysis and some developments related to the mathematical
literature on multiscale modelling of multicellular systems involving tumor immune cells …

This paper provides a survey of mathematical models and methods dealing with the analysis
and simulation of tumor dynamics in competition with the immune system. The characteristic …

This paper develops a variety of mathematical tools to model the dynamics of large systems
of interacting cells. Interactions are ruled not only by laws of classical mechanics, but also by …

This monograph has the ambitious aim of developing a mathematical theory of complex
biological systems with special attention to the phenomena of ageing, degeneration and …

This paper proposes a critical analysis of the existing literature on mathematical tools
developed toward systems biology approaches and, out of this overview, develops a new …