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 …

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 …

Early afterdepolarizations in cardiac action potentials as mixed mode oscillations due to a folded node singularity

P Kügler, AH Erhardt, MAK Bulelzai - PLoS One, 2018 - journals.plos.org
Early afterdepolarizations (EADs) are pathological voltage oscillations during the
repolarization phase of cardiac action potentials. They are considered as potential …

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 …

Noise-driven bursting birhythmicity in the Hindmarsh–Rose neuron model

E Slepukhina, I Bashkirtseva, P Kügler… - … Journal of Nonlinear …, 2023 - pubs.aip.org
The stochastic Hindmarsh–Rose model is studied in the parameter region where two
bursting limit cycles of different types coexist. We show that under the influence of noise …

Cardiac behaviors and chaotic arrhythmias in the Hindmarsh–Rose model

RV Stenzinger, TE Scalvin, PA Morelo… - Chaos, Solitons & …, 2023 - Elsevier
Abstract The Hindmarsh–Rose is one of the best-known models of computational
neuroscience. Despite its popularity as a neuron model, we demonstrate that it is also a …

Mitochondrial chaotic dynamics: Redox-energetic behavior at the edge of stability

JM Kembro, S Cortassa, D Lloyd, SJ Sollott, MA Aon - Scientific Reports, 2018 - nature.com
Mitochondria serve multiple key cellular functions, including energy generation, redox
balance, and regulation of apoptotic cell death, thus making a major impact on healthy and …

Noise-induced early afterdepolarizations in a three-dimensional cardiac action potential model

E Slepukhina, L Ryashko, P Kügler - Chaos, Solitons & Fractals, 2020 - Elsevier
We study the influence of noise on a mathematical model of the cardiac action potential
described by a three-dimensional system of ordinary differential equations. The original …

Circadian rhythms of early afterdepolarizations and ventricular arrhythmias in a cardiomyocyte model

CO Diekman, N Wei - Biophysical Journal, 2021 - cell.com
Sudden cardiac arrest is a malfunction of the heart's electrical system, typically caused by
ventricular arrhythmias, that can lead to sudden cardiac death (SCD) within minutes …