A fluid lipid membrane transmits stresses and torques that are fully determined by its
geometry. They can be described by a stress-and torque-tensor, respectively, which yield …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

The aim of this study is to extend the soliton propagation model in biomembranes and
nerves constructed by Heimburg and Jackson for the case of fractal dimensions. Our …

On mesoscopic scales, lipid membranes are well described by continuum theories whose
main ingredients are the curvature of a membrane's reference surface and the tilt of its lipid …

Biological systems are characterized by many interwoven processes over multiple scales
where interactions between the various phenomena play a decisive role. These phenomena …

The elastic properties of lipid membranes can be measured by monitoring their thermal
fluctuations. For instance, comparing the power spectra of membrane shape or lipid director …

Cell membranes, mediator of many biological mechanisms from adhesion and metabolism
up to mutation and infection, are highly dynamic and heterogeneous environments …

Voltage controlled dielectric membranes exhibit two fundamental types of instability, strongly
affecting their performances: the occurrence of wrinkling, which is due to membranal …

Abstract Vascular Endothelial Growth Factor Receptor-2 (VEGFR2) is a pro-angiogenic
receptor, expressed on endothelial cells (ECs). Although biochemical pathways that follow …

Clustering of ligand-binding receptors of different types on thickened isles of the cell
membrane, namely lipid rafts, is an experimentally observed phenomenon. Although its …