We provide a review of recent advancements in non-local continuous models for migration,
mainly from the perspective of its involvement in embryonal development and cancer …

Over the past decade, technological advances in experimental and animal tracking
techniques have motivated a renewed theoretical interest in animal collective motion and, in …

We review a general class of models for self-organized dynamics based on alignment. The
dynamics of such systems is governed solely by interactions among individuals or “agents,” …

Natural processes usually are driven by mechanisms widely differing from each other by the
time or space scale at which they operate. Thus, they should be described by appropriate …

This paper presents a revisiting, with developments, of the so-called kinetic theory for active
particles, with the main focus on the modeling of nonlinearly additive interactions. The …

Hyperbolic reaction–diffusion equations have recently attracted attention both for their
application to a variety of biological and chemical phenomena, and for their distinct features …

Nonlocal advection is a key process in a range of biological systems, from cells within
individuals to the movement of whole organisms. Consequently, in recent years, there has …

Cells move by run and tumble, a kind of dynamics in which the cell alternates runs over
straight lines and re-orientations. This erratic motion may be influenced by external factors …

We study a rather general class of 1D nonlocal conservation laws from a numerical point of
view. First, following [F. Betancourt, R. Bürger, KH Karlsen and EM Tory, On nonlocal …

A mathematical model of the evacuation of a crowd from bounded domains is derived by a
hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which …