Instructing others to move is fundamental for many populations, whether animal or cellular.
In many instances, these commands are transmitted by contact, such that an instruction is …

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 …

Accepted 21 September 2012 689 This journal is q 2012 The Royal Society with the systems
treated by statistical mechanics. However, a simple transition from a disordered to an …

In this paper, we first propose a nonlocal convection–diffusion model, in which the
convection term is constructed in a special upwind manner so that mass conservation and …

Collective migration has become a paradigm for emergent behaviour in systems of moving
and interacting individual units resulting in coherent motion. In biology, these units are cells …

Cell-cell adhesion plays a vital role in the development and maintenance of multicellular
organisms. One of its functions is regulation of cell migration, such as occurs, eg during …

We propose a model of superdiffusive Lévy walk as an emergent nonlinear phenomenon in
systems of interacting individuals. The aim is to provide a qualitative explanation of recent …

Migrating cells choose their preferential direction of motion in response to different signals
and stimuli sensed by spanning their external environment. However, the presence of dense …

Cells adhere to each other and to the extracellular matrix (ECM) through protein molecules
on the surface of the cells. The breaking and forming of adhesive bonds, a process critical in …