Fig. 1.

The mesh and sub-mesh involved with homogenisation. An example pattern of collagenous obstructions due to fibrosis (dark red) defined on a small-scale mesh, and the larger mesh on which effective conductivity tensors are defined. A single averaging volume ($\Omega$) is marked in black, along with its associated conductive region, ${\Omega }_m$, in blue. The black dotted line shows the region on which the closure problem associated with $\Omega$ is solved when a layer of skin is included around the averaging volume (see Methodology). An example control volume used by the finite volume approach used for numerical discretisation is also pictured, in red.