next up previous contents
Next: General References Up: Scientific Output from Previous: Scientific Output from

Relevant Papers

[Holden, Poole, Tucker 95a]
A V Holden, M J Poole and J V Tucker, Reconstructing the heart, Chaos, Solitons and Fractals 5 691 -- 706 1995.

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.

[Holden et al 94]
A V Holden, M J Poole, J V Tucker and H Zhang, Coupling CMLs and the synchonization of a multilayer neural computing system, Chaos, Solitons and Fractals 4 2249 -- 2268 1994.

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.

[Holden, Poole, Tucker 95b]
A V Holden, M J Poole and J V Tucker, An algorithmic model of the global activity of the heart, in preparation 1995.

[Holden, Poole, Tucker 95c]
A V Holden, M J Poole and J V Tucker, Programming algorithmic models of spatially extensive physiological systems, in preparation 1995.

[Holden, Poole 95]
A V Holden and M J Poole, Elimination of reentrant activity in an anatomically accurate model of a canine heart by repetitive stimulation, in preparation 1995.

[Holden, Poole, Tucker 95d]
A V Holden, M J Poole and J V Tucker, Propagation, vulnerability, reentry, fibrillation and defibrillation in a CML model of the mammalian heart, in preparation for a workshop on Discretely Coupled Dynamical Systems, Santiago de Compostela, Spain, June 1995.

[Holden, Poole, Tucker 95e]
A V Holden, M J Poole and J V Tucker, Computational maps and hierarchies in neural systems: the general theory of coupled synchronous concurrent algorithms as a theoretical framework, in preparation for a conference on Brain Processes, Theories and Models, WS McCulloch: 25 in memoriam, Las Palmas de Gran Canaria, Canary Islands, Spain, November 1995.



next up previous contents
Next: General References Up: Scientific Output from Previous: Scientific Output from



Bernhard Moeller
Fri May 12 14:21:20 MET DST 1995