Transmission conditions obtained by homogenisation

Discrete Geometric Homogenisation and Inverse Homogenisation of an Elliptic Operator

We show how to parameterise a homogenised conductivity in R2 by a scalar function s(x), despite the fact that the conductivity parameter in the related up-scaled elliptic operator is typically tensor valued. Ellipticity of the operator is equivalent to strict convexity of s(x), and with consideration to mesh connectivity, this equivalence extends to discrete parameterisations over triangulated ...

High pressure homogenisation Identification

High pressure homogenisation Identification

Study of permeability by periodic and self-consistent homogenisation

Modelling calcium microdomains using homogenisation.

Microdomains of calcium (i.e., areas on the nanometer scale that have qualitatively different calcium concentrations from that in the bulk cytosol) are known to be important in many situations. In cardiac cells, for instance, a calcium microdomain between the L-type channels and the ryanodine receptors, the so-called diadic cleft, is where the majority of the control of calcium release occurs. ...