In this paper we outline ways in which we may decompose, combine and compare the diverse mathematical models of heart physiology, (including PDEs, CMLs and CAs), that describe various different electrical behaviours of the heart at different space and timescales. These phenomena and models form a hierarchy in which the organ and tissue physiology results from the cellular biophysics. On making discrete approximations of continuous spaces and times, the range of diverse models of cardiac excitation are all examples of SCAs and may therefore be studied in a unified way, from the point of view of parallel deterministic computation.
In this paper we analyse a general process to realise a multilayer structured CML by coupling m CMLs together with arbitrary coupling structure. As an application we use this coupling process in the study of a CML with multilayer planar architecture and non-symmetric hierarchical coupling between the layers. These CMLs model neural architectures and use chaotic maps as the basic elements in the lattice. We measure the complexity of the state of each layer and an increase in spatio-temporal coherence as one ascends a hierarchical feedforward layered network.