We study the homogenization of a double porosity diffusion problem in a thin highly
heterogeneous composite medium formed by two materials separated by an imperfect …

This paper deals with the homogenization of an elliptic boundary value problem in a finite
cylindrical domain that consists of two connected components separated by a periodically …

We study a scalar problem in thin periodic composite media formed by two materials, a
classical one and a metamaterial (also known as negative material). By applying T-coercivity …

We study, by means of the periodic unfolding technique, the homogenization of a modified
bidomain model, which describes the propagation of the action potential in the cardiac …

The homogenization of a diffusion problem in a thin periodic heterogeneous composite
medium made up of two materials separated by an imperfect interface is studied. This …

The paper is devoted to a reaction-diffusion problem describing diffusion and consumption
of nutrients in a biological tissue consisting of small cells periodically arranged in an …

A novel mathematical model is proposed to investigate the distributions and functions of
ephaptic coupling in generally-shaped neural fiber bundles in a multidimensional space …

The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We
present a rigorous derivation of a macroscopic bidomain model describing the behavior of …

We consider a three-dimensional model for a myelinated neuron, which includes Hodgkin–
Huxley ordinary differential equations to represent membrane dynamics at Ranvier nodes …

During the last decades, enormous progress has been achieved in biomedical applications
thanks to the ability to model and computationally simulate complex underlying phenomena …