Next BBDG Seminar: "Cardiomyocyte dynamics: from low dimensional to realistic models"
🗓️ March, Wed 11, 2026, 12:00h
🗣️ Roberto Barrio (COmputational DYnamics group. Universidad de Zaragoza. Spain)
📍Félix M. Goñi Atrium (Instituto Biofisika 🗺️)
📄 "Cardiomyocyte dynamics: from low dimensional to realistic models"
ABSTRACT:
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 [3, 4] 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 [2, 3]. By examining the bifurcation structure of the model, we elucidate the dynamical elements associated with these patterns and their transitions [4]. Using a fast-slow analysis [1, 4], 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 [5]. This decomposition has allowed us to propose some new theoretical techniques for the control of prearrhythmia situations [5].
[1] Barrio, R., Martínez, Pérez, L., M.A., Pueyo, E. (2020). Bifurcations and slow-fast analysis in a cardiac cell model for investigation of early afterdepolarizations. Mathematics 8 (6), 880. https://doi.org/10.3390/math8060880
[2] Barrio, R., Martínez, M.A., Pueyo, E., Serrano, S. (2021). Dynamical analysis of early afterdepolarization patterns in a biophysically detailed cardiac model. Chaos: An Interdisci-plinary Journal of Nonlinear Science 31 (7). https://doi.org/10.1063/5.0055965
[3] Barrio, R., Martinez, M.A., Serrano, S., Pueyo, E. (2022). Dynamical mechanism for generation of arrhythmogenic early afterdepolarizations in cardiac myocytes: Insights from in silico electrophysiological models. Physical Review E 106(2). https://doi.org/10. 1103/PhysRevE.106.024402
[4] Barrio, R., Jover-Galtier, J., Martinez, M.A., Perez, L., Serrano, S. (2023). Mathematical birth of Early Afterdepolarizations in a cardiomyocyte model. Mathematical Biosciences, 366, 109088. https://doi.org/10.1016/j.mbs.2023.109088
[5] Kitajima, H., Yazawa, T., and Barrio, R. (2024). Fast–slow analysis and bifurcations in the generation of the early afterdepolarization phenomenon in a realistic mathematical human ventricular myocyte model. Chaos: An Interdisciplinary Journal of Nonlinear Science, 34(12). https://doi.org/10.1063/5.0230834
