Aurora Hernández-Machado

TL;DR: The conditions on the interface thickness are discussed in detail to control the accuracy and convergence of the phase-field model to the limiting Hele-Shaw dynamics, and the convergence appears to be slower for high viscosity contrasts.

TL;DR: A multi-scale phase-field model is presented that combines the benefits of continuum physics description and the capability of tracking individual cells to discuss the role of the endothelial cells' chemotactic response and proliferation rate as key factors that tailor the neovascular network.

TL;DR: A linear stability analysis and numerical simulations show that convective structures appear in a regime in which a deterministic analysis predicts a homogeneous solution.

TL;DR: A phase-field model for dealing with dynamic instabilities in membranes is presented and it is shown theoretically that the homogeneous pearled shape is energetically less favorable than an inhomogeneous one, with a large sphere connected to an array of smaller spheres.

TL;DR: It is demonstrated that this wetting-based destabilization mechanism of forced microfilaments on either hydrophilic or hydrophobic stripes that leads to the periodic emission of droplets can be used to control independently the drop size and emission period, opening the possibility of highly monodisperse and flexible drop production techniques in open microfluidic geometries.