We review some recent learning approaches in variational imaging based on bilevel
optimization and emphasize the importance of their treatment in function space. The paper …

Euglenids exhibit an unconventional motility strategy amongst unicellular eukaryotes,
consisting of large-amplitude highly concerted deformations of the entire body (euglenoid …

Isogeometric analysis (IGA) is emerging as a technology bridging computer aided geometric
design (CAGD), most commonly based on Non-Uniform Rational B-Splines (NURBS) …

Abstract We present a Reduced Basis (RB) method based on Isogeometric Analysis (IGA)
for the rapid and reliable evaluation of PDE systems characterized by complex geometrical …

Microorganisms, such as bacteria, algae, or spermatozoa, are able to propel themselves
forward thanks to flagella or cilia activity. By contrast, other organisms employ pronounced …

Many eukaryotic cells undergo frequent shape changes (described as amoeboid motion)
that enable them to move forward. We investigate the effect of confinement on a minimal …

We consider a swimmer consisting of a collinear assembly of three spheres connected by
two slender rods. This swimmer can propel itself forward by varying the lengths of the rods in …

We study model locomotors on a substrate, which derive their propulsive capabilities from
the tangential (viscous or frictional) resistance offered by the substrate. Our aim is to develop …

We study self propelled stokesian robots composed of assemblies of balls, in dimensions 2
and 3, and prove that they are able to control their position and orientation. This is a result of …

The interaction between thin structures and incompressible Newtonian fluids is ubiquitous
both in nature and in industrial applications. In this paper we present an isogeometric …