The past two decades have seen a remarkable progress in the development of synthetic
colloidal agents which are capable of creating directed motion in an unbiased environment …

We review the application of mathematical modeling to understanding the behavior of
populations of chemotactic bacteria. The application of continuum mathematical models, in …

Non-Markovian models of stochastic biochemical kinetics often incorporate explicit time
delays to effectively model large numbers of intermediate biochemical processes. Analysis …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

Chemotaxis is a fundamental guidance mechanism of cells and organisms, responsible for
attracting microbes to food, embryonic cells into developing tissues, immune cells to …

In active matter, particles typically experience mediated interactions, which are not
constrained by Newton's third law and are therefore generically non-reciprocal. Non …

Explaining embryonic development of multicellular organisms requires insight into complex
interactions between genetic regulation and physical, generic mechanisms at multiple …

Mesenchymal condensation is critical for organogenesis, yet little is known about how this
process is controlled. Here we show that Fgf8 and Sema3f, produced by early dental …

A two-dimensional multiscale model is introduced for studying formation of a thrombus (clot)
in a blood vessel. It involves components for modelling viscous, incompressible blood …

Agent-based models provide a flexible framework that is frequently used for modelling many
biological systems, including cell migration, molecular dynamics, ecology and epidemiology …