Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …

Active matter, which ranges from molecular motors to groups of animals, exists at different
length scales and timescales, and various computational models have been proposed to …

The complex interaction of cells with biomaterials (ie, materiobiology) plays an increasingly
pivotal role in the development of novel implants, biomedical devices, and tissue …

This chapter surveys recent numerical advances in the phase field method for geometric
surface evolution and related geometric nonlinear partial differential equations (PDEs) …

Turbulent flows laden with large, deformable drops are ubiquitous in nature and in a wide
range of industrial processes. Prediction of the interactions between drops, which deform …

Cell movement in vivo is typically characterized by strong confinement and heterogeneous,
three-dimensional environments. Such external constraints on cell motility are known to play …

Surface properties of biomaterials, such as chemistry and morphology, have a major role in
modulating cellular behavior and therefore impact on the development of high-performance …

Cell motion is crucial in human health and development. Cells may migrate individually or in
highly coordinated groups. Cell motion results from complex intra-and extra-cellular …

We study a minimal model of a crawling eukaryotic cell with a chemical polarity controlled by
a reaction-diffusion mechanism describing Rho GTPase dynamics. The size, shape, and …

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