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Journal articles on the topic 'Aliev-Panfilov model'

Author: Grafiati
Published: 6 September 2023

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1

Grigoriev, Michael, and Nikita V. Turushev. "Computer Simulation of Cardiac Electrical Activity Using an Electrocardiograph on Nanosensors." Advanced Materials Research 1040 (September 2014): 928–32. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.928.

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The problems related to cardiovascular diseases are considered. The method to solve some of the problems has been proposed. We also consider a two-component Aliev-Panfilov model and the algorithm of the hardware-software complexes. The obtained results are presented.
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2

Sakaguchi, Hidetsugu, and Yasuhiro Nakamura. "Elimination of Breathing Spiral Waves in the Aliev–Panfilov Model." Journal of the Physical Society of Japan 79, no. 7 (July 15, 2010): 074802. http://dx.doi.org/10.1143/jpsj.79.074802.

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3

Zemlyanukhin, A. I., and A. V. Bochkarev. "Analytical properties and exact solution of the Aliev-Panfilov model." Journal of Physics: Conference Series 1205 (April 2019): 012060. http://dx.doi.org/10.1088/1742-6596/1205/1/012060.

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4

Beheshti, M., F. H. Foomany, K. Magtibay, S. Masse, P. Lai, J. Asta, D. A. Jaffray, K. Nanthakumar, S. Krishnan, and K. Umapathy. "Modeling Current Density Maps Using Aliev–Panfilov Electrophysiological Heart Model." Cardiovascular Engineering and Technology 7, no. 3 (June 29, 2016): 238–53. http://dx.doi.org/10.1007/s13239-016-0271-0.

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5

Pavel’chak, I. A., and S. R. Tuikina. "Numerical solution of an inverse problem for the modified aliev–panfilov model." Computational Mathematics and Modeling 24, no. 1 (January 2013): 14–21. http://dx.doi.org/10.1007/s10598-013-9155-4.

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6

Sakaguchi, Hidetsugu, and Yusuke Kido. "Suppression of Spiral Chaos by a Guiding Network in the Aliev-Panfilov Model." Progress of Theoretical Physics Supplement 161 (2006): 332–35. http://dx.doi.org/10.1143/ptps.161.332.

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7

Seyedebrahimi, M. Mehdi, and Yesim Serinagaoglu. "Simulation of Transmembrane Potential Propagation in Normal and Ischemic Tissue Using Aliev-Panfilov Model." International Journal of Bioscience, Biochemistry and Bioinformatics 7, no. 1 (2017): 13–19. http://dx.doi.org/10.17706/ijbbb.2017.7.1.13-19.

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8

Pongui Ngoma, D. V., V. D. Mabonzo, L. J. P. Gomat, G. Nguimbi, and B. B. Bamvi Madzou. "PARAMETER IDENTIFICATION PROBLEM TO FIND THE CARDIAC POTENTIAL WAVE FORM IN IONIC MODELS." Advances in Mathematics: Scientific Journal 11, no. 11 (November 2, 2022): 991–1017. http://dx.doi.org/10.37418/amsj.11.11.2.

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In this paper, we have defined an optimization problem allowing to directly find the shape of the cardiac wave of some ionic models. This allowed us to compare some of these ionic models via a parameter identification problem instead of comparing them directly by plotting the graphs for given values of the parameters. Compared to the empirical methods used to adjust one or two parameters at a time encountered in electrophysiology, we believe that our parameter identification approach is reliable and able to simultaneously identify four to eleven parameters of an ionic model. Using this approach, we adjusted the parameters of the Mitchell-Schaeffer and Aliev-Panfilov models to recover the shape of the action potential obtained experimentally by fluorescence.
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9

Pravdin, Sergei F., Timofei I. Epanchintsev, Timur V. Nezlobinskii, and Alexander V. Panfilov. "Induced drift of scroll waves in the Aliev–Panfilov model and in an axisymmetric heart left ventricle." Russian Journal of Numerical Analysis and Mathematical Modelling 35, no. 5 (October 27, 2020): 273–83. http://dx.doi.org/10.1515/rnam-2020-0023.

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AbstractThe low-voltage cardioversion-defibrillation is a modern sparing electrotherapy method for such dangerous heart arrhythmias as paroxysmal tachycardia and fibrillation. In an excitable medium, such arrhythmias relate to appearance of spiral waves of electrical excitation, and the spiral waves are superseded to the electric boundary of the medium in the process of treatment due to high-frequency stimulation from the electrode. In this paper we consider the Aliev–Panfilov myocardial model, which provides a positive tension of three-dimensional scroll waves, and an axisymmetric model of the left ventricle of the human heart. Two relations of anisotropy are considered, namely, isotropy and physiological anisotropy. The periods of stimulation with an apical electrode are found so that the electrode successfully entrains its rhythm in the medium, the spiral wave is superseded to the base of the ventricle, and disappears. The results are compared in two-dimensional and three-dimensional media. The intervals of effective stimulation periods are sufficiently close to each other in the two-dimensional case and in the anatomical model. However, the use of the anatomical model is essential in determination of the time of superseding.
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10

Pavel’chak, I. A. "Numerical Method of Determining a Localized Initial Cardiac Excitation for the Aliev–Panfilov Model from Measurements on the Inner Boundary." Computational Mathematics and Modeling 25, no. 3 (June 14, 2014): 351–55. http://dx.doi.org/10.1007/s10598-014-9231-4.

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11

Ryzhii, Maxim, and Elena Ryzhii. "Pacemaking function of two simplified cell models." PLOS ONE 17, no. 4 (April 11, 2022): e0257935. http://dx.doi.org/10.1371/journal.pone.0257935.

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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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12

Pavel’chak, I. A. "A numerical method for determining the localized initial condition in the FitzHugh-Nagumo and Aliev-Panfilov models." Moscow University Computational Mathematics and Cybernetics 35, no. 3 (August 16, 2011): 105–12. http://dx.doi.org/10.3103/s0278641911030071.

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13

Sakaguchi, Hidetsugu, and Yusuke Kido. "Elimination of spiral chaos by pulse entrainment in the Aliev-Panfilov model." Physical Review E 71, no. 5 (May 19, 2005). http://dx.doi.org/10.1103/physreve.71.052901.

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14

Sakaguchi, Hidetsugu, and Takefumi Fujimoto. "Elimination of spiral chaos by periodic force for the Aliev-Panfilov model." Physical Review E 67, no. 6 (June 27, 2003). http://dx.doi.org/10.1103/physreve.67.067202.

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15

Ryzhii, Maxim, and Elena Ryzhii. "A compact multi-functional model of the rabbit atrioventricular node with dual pathways." Frontiers in Physiology 14 (March 10, 2023). http://dx.doi.org/10.3389/fphys.2023.1126648.

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The atrioventricular node (AVN) is considered a “black box”, and the functioning of its dual pathways remains controversial and not fully understood. In contrast to numerous clinical studies, there are only a few mathematical models of the node. In this paper, we present a compact, computationally lightweight multi-functional rabbit AVN model based on the Aliev-Panfilov two-variable cardiac cell model. The one-dimensional AVN model includes fast (FP) and slow (SP) pathways, primary pacemaking in the sinoatrial node, and subsidiary pacemaking in the SP. To obtain the direction-dependent conduction properties of the AVN, together with gradients of intercellular coupling and cell refractoriness, we implemented the asymmetry of coupling between model cells. We hypothesized that the asymmetry can reflect some effects related to the complexity of the real 3D structure of AVN. In addition, the model is accompanied by a visualization of electrical conduction in the AVN, revealing the interaction between SP and FP in the form of ladder diagrams. The AVN model demonstrates broad functionality, including normal sinus rhythm, AVN automaticity, filtering of high-rate atrial rhythms during atrial fibrillation and atrial flutter with Wenckebach periodicity, direction-dependent properties, and realistic anterograde and retrograde conduction curves in the control case and the cases of FP and SP ablation. To show the validity of the proposed model, we compare the simulation results with the available experimental data. Despite its simplicity, the proposed model can be used both as a stand-alone module and as a part of complex three-dimensional atrial or whole heart simulation systems, and can help to understand some puzzling functions of AVN.
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16

Jenkins, Evan V., Dhani Dharmaprani, Madeline Schopp, Jing Xian Quah, Kathryn Tiver, Lewis Mitchell, Feng Xiong, et al. "The inspection paradox: An important consideration in the evaluation of rotor lifetimes in cardiac fibrillation." Frontiers in Physiology 13 (September 6, 2022). http://dx.doi.org/10.3389/fphys.2022.920788.

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Background and Objective: Renewal theory is a statistical approach to model the formation and destruction of phase singularities (PS), which occur at the pivots of spiral waves. A common issue arising during observation of renewal processes is an inspection paradox, due to oversampling of longer events. The objective of this study was to characterise the effect of a potential inspection paradox on the perception of PS lifetimes in cardiac fibrillation.Methods: A multisystem, multi-modality study was performed, examining computational simulations (Aliev-Panfilov (APV) model, Courtmanche-Nattel model), experimentally acquired optical mapping Atrial and Ventricular Fibrillation (AF/VF) data, and clinically acquired human AF and VF. Distributions of all PS lifetimes across full epochs of AF, VF, or computational simulations, were compared with distributions formed from lifetimes of PS existing at 10,000 simulated commencement timepoints.Results: In all systems, an inspection paradox led towards oversampling of PS with longer lifetimes. In APV computational simulations there was a mean PS lifetime shift of +84.9% (95% CI, ± 0.3%) (p < 0.001 for observed vs overall), in Courtmanche-Nattel simulations of AF +692.9% (95% CI, ±57.7%) (p < 0.001), in optically mapped rat AF +374.6% (95% CI, ± 88.5%) (p = 0.052), in human AF mapped with basket catheters +129.2% (95% CI, ±4.1%) (p < 0.05), human AF-HD grid catheters 150.8% (95% CI, ± 9.0%) (p < 0.001), in optically mapped rat VF +171.3% (95% CI, ±15.6%) (p < 0.001), in human epicardial VF 153.5% (95% CI, ±15.7%) (p < 0.001).Conclusion: Visual inspection of phase movies has the potential to systematically oversample longer lasting PS, due to an inspection paradox. An inspection paradox is minimised by consideration of the overall distribution of PS lifetimes.
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