In recent years, the combination of computational modeling and experiments has become a
useful tool that is proving increasingly powerful for explaining biological complexity. As …

The application of numerical methods for mechanistic, diffusion-based modeling of skin
permeation is reviewed. Methods considered here are finite difference, method of lines, finite …

In this paper we describe the concept of the renewed software package UG, that is used as a
flexible simulation framework for the solution of partial differential equations. A general …

We examine the interaction of multigrid methods and shape optimization in appropriate
shape spaces. The impact of discrete approximations of geometrical quantities, like the …

This paper presents a computational model of molecular diffusion through the interfollicular
stratum corneum. Specifically, it extends an earlier two-dimensional microscopic model for …

We study how and to what extent the existence of non-local diffusion affects the transport of
chemical species in a composite medium. For our purposes, we prescribe the mass flux to …

This paper reports a new method of functional metamaterial structure fabrication based on
ultra-porous aerogel skins introduced on the surfaces of solid tetrakaidecahedron lattices …

Effective properties of non-aging linear viscoelastic and hierarchical composites are
investigated via a three-scale asymptotic homogenization method. In this approach, we …

Based on the structure of the Stratum corneum (SC) the potential penetration/diffusion
pathways of drugs and cosmetic actives through the SC are presented and discussed. The …

A microscopic model of passive transverse mass transport of small solutes in the viable
epidermal layer of human skin is formulated on the basis of a hexagonal array of cells (ie …