Nicola Bellomo

TL;DR: In this article, a survey and critical analysis focused on a variety of chemotaxis models in biology, namely the classical Keller-Segel model and its subsequent modifications, which, in several cases, have been developed to obtain models that prevent the non-physical blow up of solutions.

TL;DR: A review and critical analysis of the mathematical literature concerning the modeling of vehicular traffic and crowd phenomena and a critical analysis focused on research perspectives that consider the development of a unified modeling strategy are presented.

TL;DR: 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 readership, some of the novel mathematical problems in the field.

TL;DR: A brief history of immunologic thinking, general aspects of modelling tumour growth and immune response tumour immune system interactions - the kinetic cellular theory tumour heterogeneity and growth control, and more.

TL;DR: A survey of mathematical models and methods dealing with the analysis and simulation of tumor dynamics in competition with the immune system is provided in this article, where the characteristic scales of the phenomena are identified and the mathematical literature on models and problems developed on each scale is reviewed and critically analysed.