2026-10-06T07:42:55Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33472042 2026-10-02T12:04:09Z category_30881 category_36497 portal_1075 item_type_2 month_year_10_2026

Supplementary Movie 2 (br.mp4): Traveling Wave Evolution in the Beeler-Reuter (BR) Model Vincent Lovero (24727126) Stephanie Dodson (1933168) Timothy Lewis (21281402) Biological sciences Mathematical sciences cardiac dynamics action potentials dispersion curves fast waves slow waves This animation illustrates the parameter-dependent evolution of the traveling wave voltage profile (bottom left) and its corresponding linear stability spectrum (right) mapped to the BR dispersion relation (top left). The vertical and horizontal scales for the traveling wave (bottom left) have been normalized. The current state is indicated by a blue marker on the dispersion curve. The pink square denotes a saddle-node bifurcations and green dots denote Hopf bifurcations. As the parameter varies, the fast wave, which initially features a sharp initial upstroke followed by a brief repolarization and a prolonged plateau, shortens in duration and ultimately transitions into a narrow ``sodium spike' along the slow wave branch. Simultaneously, the spectrum panel visualizes the linear stability dynamics, showing the fast wave losing stability through a cascade of Hopf bifurcations, visible as multiple eigenvalues crossing into the right half-plane. After passing through the saddle-node bifurcation, a singe real unstable eigenvalue remains and is out of view with $\lambda >0.3.$ 2026-10-02T12:04:09Z Dataset Media 10.60893/figshare.cha.33472042.v1 https://figshare.com/articles/media/Supplementary_Movie_2_br_mp4_Traveling_Wave_Evolution_in_the_Beeler-Reuter_BR_Model/33472042 CC BY 4.0