Anisotropy of wave propagation in the heart can be modeled by a Riemannian electrophysiological metric.

@article{Young2010AnisotropyOW,
  title={Anisotropy of wave propagation in the heart can be modeled by a Riemannian electrophysiological metric.},
  author={R J Young and Alexander V. Panfilov},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2010},
  volume={107 34},
  pages={15063-8}
}
It is well established that wave propagation in the heart is anisotropic and that the ratio of velocities in the three principal directions may be as large as v(f)v(s)v(n) approximately 4(fibers)2(sheets)1(normal). We develop an alternative view of the heart based on this fact by considering it as a non-Euclidean manifold with an electrophysiological(el-) metric based on wave velocity. This metric is more natural than the Euclidean metric for some applications, because el-distances directly… CONTINUE READING