[HTML][HTML] Modelling and simulation for preclinical cardiac safety assessment of drugs with human iPSC-derived cardiomyocytes

P Kügler - Jahresbericht der Deutschen Mathematiker …, 2020 - Springer
As a potentially life threatening side effect, pharmaceutical compounds may trigger cardiac
arrhythmias by impeding the heart's electrical and mechanical function. For this reason, any …

[HTML][HTML] Bifurcations and Proarrhythmic Behaviors in Cardiac Electrical Excitations

K Tsumoto, Y Kurata - Biomolecules, 2022 - mdpi.com
The heart is a hierarchical dynamic system consisting of molecules, cells, and tissues, and
acts as a pump for blood circulation. The pumping function depends critically on the …

Stochastic mixed-mode oscillations in the canards region of a cardiac action potential model

E Slepukhina, I Bashkirtseva, L Ryashko… - Chaos, Solitons & …, 2022 - Elsevier
Mixed-mode oscillations (MMOs) and canards play important role in the dynamics of many
mathematical models in the life sciences. In particular, pathological early …

[HTML][HTML] Geometric analysis of mixed-mode oscillations in a model of electrical activity in human beta-cells

S Battaglin, MG Pedersen - Nonlinear Dynamics, 2021 - Springer
Human pancreatic beta-cells may exhibit complex mixed-mode oscillatory electrical activity,
which underlies insulin secretion. A recent biophysical model of human beta-cell …

Dynamical mechanism for generation of arrhythmogenic early afterdepolarizations in cardiac myocytes: Insights from in silico electrophysiological models

R Barrio, MÁ Martínez, S Serrano, E Pueyo - Physical Review E, 2022 - APS
We analyze the dynamical mechanisms underlying the formation of arrhythmogenic early
afterdepolarizations (EADs) in two mathematical models of cardiac cellular …

[HTML][HTML] Bifurcations and slow-fast analysis in a cardiac cell model for investigation of early afterdepolarizations

R Barrio, MA Martínez, L Pérez, E Pueyo - Mathematics, 2020 - mdpi.com
In this study, we teased out the dynamical mechanisms underlying the generation of
arrhythmogenic early afterdepolarizations (EADs) in a three-variable model of a mammalian …

Dynamical analysis of early afterdepolarization patterns in a biophysically detailed cardiac model

R Barrio, M Martínez, E Pueyo… - Chaos: An Interdisciplinary …, 2021 - pubs.aip.org
Arrhythmogenic early afterdepolarizations (EADs) are investigated in a biophysically
detailed mathematical model of a rabbit ventricular myocyte, providing their location in the …

[HTML][HTML] Detecting undetectables: Can conductances of action potential models be changed without appreciable change in the transmembrane potential?

KH Jæger, S Wall, A Tveito - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
Mathematical models describing the dynamics of the cardiac action potential are of great
value for understanding how changes to the system can disrupt the normal electrical activity …

Computational Cardiac Safety Testing

GR Mirams - Drug Discovery and Evaluation: Safety and …, 2023 - Springer
In recent years, computational cardiac electrophysiology simulations using mathematical
models have begun to be used in industrial and regulatory assessment of the proarrhythmic …

Big ducks in the heart: Canard analysis can explain large early afterdepolarizations in cardiomyocytes

J Kimrey, T Vo, R Bertram - SIAM Journal on Applied Dynamical Systems, 2020 - SIAM
Early afterdepolarizations (EADs) are pathological voltage fluctuations that can occur in
cardiac cells and are a potent source of potentially fatal arrhythmias. Recent works …