Mathematical modelling of chemotaxis (the movement of biological cells or organisms in
response to chemical gradients) has developed into a large and diverse discipline, whose …

Mathematical modelling of the movement of animals, micro-organisms and cells is of great
relevance in the fields of biology, ecology and medicine. Movement models can take many …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

This article summarites various aspects and results for some general formulations of the
classical chemotaxis models also known as Keller-Segel models. It is intended as a survey …

This paper proposes a review focused on exotic chemotaxis and cross-diffusion models in
complex environments. The term exotic is used to denote the dynamics of models interacting …

We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by
E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

Motivated by empirical observations of spatio-temporal clusters of crime across a wide
variety of urban settings, we present a model to study the emergence, dynamics, and steady …

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 …

Understanding how cancer tumours develop and spread is vital for finding treatments and
cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and …