Numerical Analysis of Conduction of the Action Potential Across the Purkinje Fibre:Ventricular Muscle Junction

Li, Jue; Zhang, Henggui; Boyett, Mark R.

doi:10.22489/cinc.2016.078-419

Cited by 5 publications

(7 citation statements)

References 5 publications

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“…One of the important characteristics of a pacemaking cell is its synchronization behavior under an applied load of coupled cells with a variable diffusion coefficient [ 53 – 55 ]. To investigate this property of the considered pacemaking cells, we set up three variants of the load— n strands (cables) of matching 20 excitable cells coupled to a single pacemaker cell.…”

Section: Methodsmentioning

confidence: 99%

“…To investigate this property of the considered pacemaking cells, we set up three variants of the load— n strands (cables) of matching 20 excitable cells coupled to a single pacemaker cell. Because the load in a tissue is not limited to an integer value ( n can be non-integer [ 55 ]), apart from the normal case ( n = 1) we considered higher ( n = 2) and lower ( n = 0.5) loads.…”

Section: Methodsmentioning

confidence: 99%

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Pacemaking function of two simplified cell models

Ryzhii

2022

PLoS ONE

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Simplified nonlinear models of biological cells are widely used in computational electrophysiology. The models reproduce qualitatively many of the characteristics of various organs, such as the heart, brain, and intestine. In contrast to complex cellular ion-channel models, the simplified models usually contain a small number of variables and parameters, which facilitates nonlinear analysis and reduces computational load. In this paper, we consider pacemaking variants of the Aliev-Panfilov and Corrado two-variable excitable cell models. We conducted a numerical simulation study of these models and investigated the main nonlinear dynamic features of both isolated cells and 1D coupled pacemaker-excitable systems. Simulations of the 2D sinoatrial node and 3D intestine tissue as application examples of combined pacemaker-excitable systems demonstrated results similar to obtained previously. The uniform formulation for the conventional excitable cell models and proposed pacemaker models allows a convenient and easy implementation for the construction of personalized physiological models, inverse tissue modeling, and development of real-time simulation systems for various organs that contain both pacemaker and excitable cells.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Pacemaking function of two simplified cell models

Ryzhii

2022

PLoS ONE

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“…Because the load in a tissue is not limited to an integer value (n can be non-integer [46]), apart from normal case (n = 1) we considered higher (n = 2) and lower (n = 0.5) loads.…”

Section: Coupled 1d Pacemaker-excitable Systemsmentioning

confidence: 99%

“…The incremental steps of the parameters were selected individually for each model and varied depending on observed dynamics. When spontaneous oscillation appeared, we determined peak overshoot potential (POP), maximum diastolic potential (MDP), frequency, diastolic interval (DI), and action potential duration (APD) at 90% repolarization for each bifurcation parameter value upon allowing the oscillation activity to stabilize within 20 -50 s. non-integer [55]), apart from the normal case (n = 1) we considered higher (n = 2) and lower (n = 0.5) loads. These load-driving capabilities are essential for real-time simulation systems based on abstracted heart models, where a single pacemaker cell represents a group of ion-channel pacemaker model cells [44,46].…”

Section: Isolated Single Pacemaker Cellsmentioning

confidence: 99%

“…Coupled 1D pacemaker-excitable systemsOne of the important characteristics of a pacemaking cell is its synchronization behavior under an applied load of coupled cells with a variable diffusion coefficient[53][54][55]. To investigate this property of the considered pacemaking cells, we set up three variants of the load -n strands (cables) of matching 20 excitable cells coupled to a single pacemaker cell.…”

mentioning

confidence: 99%

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Pacemaking function of two simplified cell models

Ryzhii

2021

Preprint

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Simplified nonlinear models of biological cells are widely used in computational electrophysiology. The models reproduce qualitatively many of the characteristics of various organs, such as the heart, brain and intestine. In contrast to complex cellular ion-channel models, the simplified models usually contain a small number of variables and parameters which facilitates nonlinear analysis and reduces computational load. In this paper, we consider pacemaking variants of the Aliev-Panfilov and Corrado two-variable excitable cell models. We conducted numerical simulation study of these models, and investigated main nonlinear dynamic features of both isolated cells and 1D coupled pacemaker-excitable systems. Simulations of 2D sinoatrial node and 3D intestine tissue as application examples of combined pacemaker-excitable systems demonstrated results similar to obtained previously. The uniform formulation for the conventional excitable cell models and proposed pacemaker models allows a convenient and easy implementation for the construction of personalized physiological models, inverse tissue modeling, and development of real-time simulation systems for various organs that contain both pacemaker and excitable cells.

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Enhanced optimization-based method for the generation of patient-specific models of Purkinje networks

Berg

Rocha

Oliveira

et al. 2023

Sci Rep

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Cardiac Purkinje networks are a fundamental part of the conduction system and are known to initiate a variety of cardiac arrhythmias. However, patient-specific modeling of Purkinje networks remains a challenge due to their high morphological complexity. This work presents a novel method based on optimization principles for the generation of Purkinje networks that combines geometric and activation accuracy in branch size, bifurcation angles, and Purkinje-ventricular-junction activation times. Three biventricular meshes with increasing levels of complexity are used to evaluate the performance of our approach. Purkinje-tissue coupled monodomain simulations are executed to evaluate the generated networks in a realistic scenario using the most recent Purkinje/ventricular human cellular models and physiological values for the Purkinje-ventricular-junction characteristic delay. The results demonstrate that the new method can generate patient-specific Purkinje networks with controlled morphological metrics and specified local activation times at the Purkinje-ventricular junctions.

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Numerical Analysis of Conduction of the Action Potential Across the Purkinje Fibre:Ventricular Muscle Junction

Cited by 5 publications

References 5 publications

Pacemaking function of two simplified cell models

Pacemaking function of two simplified cell models

Pacemaking function of two simplified cell models

Enhanced optimization-based method for the generation of patient-specific models of Purkinje networks

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