skip to content

Electrophysiological metric and geometry of the heart

Monday 20th July 2009 - 15:30 to 15:45
INI Seminar Room 1
Session Title: 
Modelling of Cardiac Activation 2
Session Chair: 
Richard Clayton

We develop an alternative view of the heart based on this fact, by considering the heart as a non-Euclidean manifold with a electrophysiological el- metric based on wave velocity. This metric is more natural than the Euclidean metric for studying the electrophysiology of the heart, because el-distances directly encode wave propagation.

We characterize this metric for a particular case of rotational orthotropic anisotropy of cardiac tissue on a small and a large scale. We show that although this metric is locally highly curved and non-Euclidean, its global geometry is close to that of an isotropic metric on the heart. That is, wave arrival times in anisotropic cardiac tissue with principal velocities v_f>v_s>v_n are well-approximated by arrival times in isotropic tissue with velocity v_f in all directions. We illustrate this with numerical simulations of a slab of cardiac tissue and of a model of the ventricles based on DTMRI scans of the canine heart.

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons