We review theoretical models of individual motility as well as collective dynamics and
pattern formation of active particles. We focus on simple models of active dynamics with a …

This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

Living cells actively migrate in their environment to perform key biological functions—from
unicellular organisms looking for food to single cells such as fibroblasts, leukocytes or …

Single and collective cell migration are fundamental processes critical for physiological
phenomena ranging from embryonic development and immune response to wound healing …

The actin cytoskeleton in motile cells has many of the hallmarks of an excitable medium,
including the presence of propagating waves. This excitable behavior can account for the …

The power spectral density (PSD) of any time-dependent stochastic process X t is a
meaningful feature of its spectral content. In its text-book definition, the PSD is the Fourier …

We model the motility of Dictyostelium cells in a systematic data-driven manner. We deduce
a minimal dynamical model that reproduces the statistical features of experimental …

Trajectories of human breast cancer cells moving on one-dimensional circular tracks are
modeled by the non-Markovian version of the Langevin equation that includes an arbitrary …

What is the underlying diffusion process governing the spreading dynamics and search
strategies employed by amoeboid cells? Based on the statistical analysis of experimental …

Chemotaxis involves the coordinated action of separable but interrelated processes: motility,
gradient sensing, and polarization. We have hypothesized that these are mediated by …