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Math. Model. Nat. Phenom. Vol. 3, No. 6, 2008, pp. 101-130
DOI: 10.1051/mmnp:2008083
Reconstruction and Quantification of Diffusion Tensor Imaging-Derived Cardiac Fibre and Sheet Structure in Ventricular Regions used in Studies of Excitation Propagation
A.P. Benson, S.H. Gilbert, P. Li, S.M. Newton and A.V. HoldenComputational Biology Laboratory, Institute of Membrane and Systems Biology & Multidisciplinary Cardiovascular Research Centre, Faculty of Biological Sciences, University of Leeds, Leeds LS2 9JT, UK
a.p.benson@leeds.ac.uk
Published online: 24 December 2008
Abstract
Detailed descriptions of cardiac
geometry and architecture are necessary for examining and
understanding structural changes to the myocardium that are the
result of pathologies, for interpreting the results of
experimental studies of propagation, and for use as a
three-dimensional orthotropically anisotropic model for the
computational reconstruction of propagation during arrhythmias.
Diffusion tensor imaging (DTI) provides a means to reconstruct
fibre and sheet orientation throughout the ventricles. We
reconstruct and quantify canine cardiac architecture in selected
regions of the left and right ventricular free walls and the
inter-ventricular septum. Fibre inclination angle rotates smoothly
through the wall in all regions, from positive in the endocardium
to negative in the epicardium. However, fibre transverse and sheet
angles show large variability in basal regions. Additionally,
regions where two populations (positive and negative) of sheet
structure merge are identified. From these data, we conclude that
a single DTI-derived atlas model of ventricular architecture
should be applicable to modelling propagation in wedges from the
equatorial and apical left ventricle, and allow comparisons to
experimental studies carried out in wedge preparations. However,
due to inter-individual variability in basal regions, individual
(rather than atlas) DTI models of basal wedges or of the whole
ventricles will be required.
Mathematics Subject Classification. 92B15, 92C55
Key words: myocardium -- anatomy -- diffusion tensor imaging -- anisotropy
© EDP Sciences 2008
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