Highlights•Choice of modeling framework should account for experimental context and
data.•Accurate models offer biological insight and explain non-intuitive observations.•Multi …

Mathematical models are becoming increasingly integrated with experimental efforts in the
study of biological systems. Collective cell migration in developmental biology is a …

The present work is motivated by the development of a mathematical model mimicking the
mechanisms observed in lab-on-chip experiments, made to reproduce on microfluidic chips …

Cancer immunotherapy often involves the use of engineered molecules to selectively bind
and activate T cells located within tumour tissue. Fundamental to the success of such …

The description of the cell spatial pattern and characteristic distances is fundamental in a
wide range of physio-pathological biological phenomena, from morphogenesis to cancer …

In this paper we study a general class of hybrid mathematical models of collective motions of
cells under the influence of chemical stimuli. The models are hybrid in the sense that cells …

We consider nonlinear transport equations with non-local velocity describing the time-
evolution of a measure. Such equations often appear when considering the mean-field limit …

Interactions between primordium cells and their environment determines the self-
organization of the zebrafish posterior Lateral Line primordium as it migrates under the skin …

In this paper we propose and study a hybrid discrete–continuous mathematical model of
collective motion under alignment and chemotaxis effect. Starting from paper [23], in which …

A general class of hybrid models has been introduced recently, gathering the advantages of
multiscale descriptions. Concerning biological applications, the particular coupled structure …