Evidence for an unfolded border-collision bifurcation in paced cardiac tissue
Tissues and Organs
2007-05-23 v1
Abstract
We investigate, both experimentally and theoretically, the bifurcation to alternans in heart tissue. Previously, this phenomenon has been modeled either as a smooth or as border-collision period-doubling bifurcation. Using a new experimental technique, we find a hybrid behavior: very close to the bifurcation point the dynamics are smooth-like, whereas further away they are border-collision-like. This behavior is captured by a new type of model, called an unfolded border-collision bifurcation.
Keywords
Cite
@article{arxiv.q-bio/0607019,
title = {Evidence for an unfolded border-collision bifurcation in paced cardiac tissue},
author = {Carolyn M. Berger and Xiaopeng Zhao and David G. Schaeffer and Hana M. Dobrovolny and Wanda Krassowska and Daniel J. Gauthier},
journal= {arXiv preprint arXiv:q-bio/0607019},
year = {2007}
}