Speakers
Description
Early afterdepolarizations (EADs) are abnormal behaviors that can lead to heart failure and even cardiac death. In this presentation, we review
recent results and we mathematically investigate the occurrence and development of these phenomena in two realistic ventricular myocyte models: the rabbit model of Sato (2009) and the human model of O’Hara (2011). These models are of high dimension, 27 and 41 respectively, so a mix of techniques must be used in their study. We connect the results with a reduced low-dimensional model, the Luo-Rudy cardiomyocyte model (1991). The combined use of analytical and numerical techniques allows us to propose a global conjecture of a mathematical mechanism of EAD creation in low- and high-dimensional models. By examining the bifurcation structure of the model, we elucidate the dynamical elements associated with these patterns and their transitions. Using a fast-slow analysis, we explore the emergence and evolution of EAD in the low-dimensional model and develop new methodologies for fast-slow decomposition for the realistic high-dimensional O’Hara model. This decomposition has allowed us to propose some new theoretical techniques for the control of prearrhythmia situations.
Bibliography
@article{ref1,
author = {Barrio, Roberto and Martinez, M. Angeles and Pueyo, Esther and Serrano, Sergio},
title = {Dynamical analysis of early afterdepolarization patterns in a biophysically detailed cardiac model},
journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
volume = {31},
number = {7},
pages = {073137},
year = {2021},
doi = {10.1063/5.0055965},
}
@article{ref2,
title = {Dynamical mechanism for generation of arrhythmogenic early afterdepolarizations in cardiac myocytes: Insights from in silico electrophysiological models},
author = {Barrio, Roberto and Mart\'{\i}nez, M. \'Angeles and Serrano, Sergio and Pueyo, Esther},
journal = {Phys. Rev. E},
volume = {106},
issue = {2},
pages = {024402},
numpages = {8},
year = {2022},
doi = {10.1103/PhysRevE.106.024402},
}
@article{ref3,
title = {Mathematical birth of Early Afterdepolarizations in a cardiomyocyte model},
journal = {Mathematical Biosciences},
volume = {366},
pages = {109088},
year = {2023},
doi = {https://doi.org/10.1016/j.mbs.2023.109088},
url = {https://www.sciencedirect.com/science/article/pii/S0025556423001281},
author = {R. Barrio and J.A. Jover-Galtier and M.A. Martinez and L. Perez and S. Serrano},
}
@article{ref4,
author = {Kitajima, Hiroyuki and Yazawa, Toru and Barrio, Roberto},
title = {Fast–slow analysis and bifurcations in the generation of the early afterdepolarization phenomenon in a realistic mathematical human ventricular myocyte model},
journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
volume = {34},
number = {12},
pages = {123108},
year = {2024},
doi = {10.1063/5.0230834},
}
