Evidence for an unfolded border-collision bifurcation in paced cardiac tissue

Details Evidence for an unfolded border-collision bifurcation in paced cardiac tissue Evidence for an unfolded border-collision bifurcation in paced cardiac tissue

2006-07-13

arxiv.org/abs/q-bio/0607019v1

Biology

Quantitative Biology

Tissues and Organs

Scientific paper

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.

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