| Abstract: |
| Early Afterdepolarizations (EADs) are abnormal behaviors that can lead to cardiac failure
and even cardiac death. In this presentation, we investigate mathematically the occurrence and
development of these phenomena in two realistic ventricular myocyte models: the Sato (2009), rabbit, and the O`Hara (2011), human, models. We connect the results [1, 2] with a
reduced low dimensional Luo-Rudy cardiac model. By examining the bifurcation structure of the model, we elucidate the dynamical
elements associated with these patterns and their transitions [2]. Using a fast-slow analysis, we
explore the emergence and evolution of EADs in the low dimensional model and we develop new methodologies for the fast-slow decomposition for the high-dimensional realistic O`Hara model [3].
[1] Roberto Barrio, M. Angeles Martinez, Sergio Serrano, and Esther Pueyo (2022). Dynamical mechanism for generation of arrhythmogenic early afterdepolarizations in cardiac myocytes: Insights from in silico electrophysiological models.
Physical Review E, 106(2).
[2] Roberto Barrio, Jorge A. Jover-Galtier, M. Angeles Martinez, Lucia Perez and Sergio Serrano (2023). Mathematical birth of Early Afterdepolarizations in a cardiomyocyte
model. Mathematical Biosciences, 366, 109088.
[3] Hiroyuki Kitajima, Toru Yazawa and Roberto Barrio (2024). Effect of Calcium ion concentration on early afterdepolarization
generation in a realistic mathematical human ventricular myocyte model. Preprint. |
|