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 …

Characterizing mixed-mode oscillations shaped by canard and bifurcation structure in a three-dimensional cardiac cell model

L Yaru, L Shenquan - Nonlinear Dynamics, 2021 - Springer
This paper investigates mixed-mode oscillations (MMOs) with a three-dimensional
conductance-based cardiac action potential model, which makes the heart beat in a …

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 …

A new route to pulse-shaped explosion and its induced bursting dynamics

M Wei, W Jiang, X Ma, X Han, Q Bi - Nonlinear Dynamics, 2021 - Springer
Abstract Pulse-shaped explosion (PSE), characterized by pulse-shaped sharp quantitative
changes in relation to the variation of system parameters, is a novel dynamical mechanism …

Stochastic sensitivity of Turing patterns: Methods and applications to the analysis of noise-induced transitions

I Bashkirtseva, A Kolinichenko, L Ryashko - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a problem of the analysis of the randomly forced patterns in spatially
distributed systems with diffusion is considered. For the approximation of mean-square …

[HTML][HTML] Noise-induced behavioral change driven by transient chaos

J Jungeilges, M Pavletsov, T Perevalova - Chaos, Solitons & Fractals, 2022 - Elsevier
We study behavioral change in the context of a stochastic, non-linear consumption model
with preference adjusting, interdependent agents. Changes in long-run consumption …

Identification of a Stochastic Dynamic Model for Aircraft Flight Attitude Based on Measured Data

H Li, X Chen, J Zhang, B Wang… - International Journal of …, 2023 - Wiley Online Library
Stochastic disturbances are everywhere. The influence of stochastic factors on the modeling
and simulation of aircraft flight dynamics should be considered. Therefore, a stochastic …

Bifurcation Analysis on a Generation of Early Afterdepolarization in a Mathematical Cardiac Model

H Kitajima, T Yazawa - International Journal of Bifurcation and …, 2021 - World Scientific
Electrical activity occurs in the cell membrane of cardiomyocytes. This electrical activity
forms the action potential that generates pumping of the heart. An abnormality in the action …

Stochastic generation and suppression of early afterdepolarizations in a three‐dimensional model of cardiac action potential

E Slepukhina, I Bashkirtseva, P Kügler… - … Methods in the …, 2022 - Wiley Online Library
The influence of random disturbances on a three‐dimensional simplification of Luo–Rudy
model of the cardiac action potential is studied. We show that in the parameter region, where …

Transitions between metastable long-run consumption behaviors in a stochastic peer-driven consumer network

J Jungeilges, TK Nilssen, T Perevalova, A Satov - 2021 - elar.urfu.ru
We study behavioral change-as a transition between coexisting attractors-in the context of a
stochastic, non-linear consumption model with interdependent agents. Relying on the …