The section through a TVIS vial that is bounded by the electrodes on the outside of the vial may be considered as a composite object comprising two glass wall segments sandwiching a cylinder of the solution (in the liquid, frozen or dried states). I electrical terms this composite can then be modelled using lump-circuit elements, where each captures the specific passive electrical properties of the sub-section of the composite material.
At the interface between the glass and the solution there is likely to be a build up of charges, which are opposite to the inherent charges on the surface of the glass. The interfacial capacitance that results may also be factored into the equivalent circuit model.