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Bai J, Zhang C, Liang Y, Tavares A, Wang L. Impact of Combined Modulation of Two Potassium Ion Currents on Spiral Waves and Turbulent States in the Heart. ENTROPY (BASEL, SWITZERLAND) 2024; 26:446. [PMID: 38920457 PMCID: PMC11202854 DOI: 10.3390/e26060446] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/19/2024] [Revised: 05/23/2024] [Accepted: 05/24/2024] [Indexed: 06/27/2024]
Abstract
In the realm of cardiac research, the control of spiral waves and turbulent states has been a persistent focus for scholars. Among various avenues of investigation, the modulation of ion currents represents a crucial direction. It has been proved that the methods involving combined control of currents are superior to singular approaches. While previous studies have proposed some combination strategies, further reinforcement and supplementation are required, particularly in the context of controlling arrhythmias through the combined regulation of two potassium ion currents. This study employs the Luo-Rudy phase I cardiac model, modulating the maximum conductance of the time-dependent potassium current and the time-independent potassium current, to investigate the effects of this combined modulation on spiral waves and turbulent states. Numerical simulation results indicate that, compared to modulating a single current, combining reductions in the conductance of two potassium ion currents can rapidly control spiral waves and turbulent states in a short duration. This implies that employing blockers for both potassium ion currents concurrently represents a more efficient control strategy. The control outcomes of this study represent a novel and effective combination for antiarrhythmic interventions, offering potential avenues for new antiarrhythmic drug targets.
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Affiliation(s)
- Jing Bai
- School of Statistics and Data Science, Zhuhai College of Science and Technology, Zhuhai 519041, China; (J.B.); (C.Z.)
- Department of Industrial Electronics, University of Minho, 4800-058 Guimaraes, Portugal
| | - Chunfu Zhang
- School of Statistics and Data Science, Zhuhai College of Science and Technology, Zhuhai 519041, China; (J.B.); (C.Z.)
- Department of Industrial Electronics, University of Minho, 4800-058 Guimaraes, Portugal
| | - Yanchun Liang
- School of Computer Science, Zhuhai College of Science and Technology, Zhuhai 519041, China
| | - Adriano Tavares
- Department of Industrial Electronics, University of Minho, 4800-058 Guimaraes, Portugal
| | - Lidong Wang
- School of Statistics and Data Science, Zhuhai College of Science and Technology, Zhuhai 519041, China; (J.B.); (C.Z.)
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Amrutha SV, Sebastian A, Sibeesh P, Punacha S, Shajahan TK. Theory and experiments of spiral unpinning in the Belousov-Zhabotinsky reaction using a circularly polarized electric field. CHAOS (WOODBURY, N.Y.) 2023; 33:063157. [PMID: 37368041 DOI: 10.1063/5.0145251] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2023] [Accepted: 06/05/2023] [Indexed: 06/28/2023]
Abstract
We present the first experimental study of unpinning an excitation wave using a circularly polarized electric field. The experiments are conducted using the excitable chemical medium, the Belousov-Zhabotinsky (BZ) reaction, which is modeled with the Oregenator model. The excitation wave in the chemical medium is charged so that it can directly interact with the electric field. This is a unique feature of the chemical excitation wave. The mechanism of wave unpinning in the BZ reaction with a circularly polarized electric field is investigated by varying the pacing ratio, the initial phase of the wave, and field strength. The chemical wave in the BZ reaction unpins when the electric force opposite the direction of the spiral is equal to or above a threshold. We developed an analytical relation of the unpinning phase with the initial phase, the pacing ratio, and the field strength. This is then verified in experiments and simulations.
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Affiliation(s)
- S V Amrutha
- Department of Physics, National Institute of Technology Karnataka, Mangalore 575025, India
| | - Anupama Sebastian
- Department of Physics, National Institute of Technology Karnataka, Mangalore 575025, India
| | - Puthiyapurayil Sibeesh
- Department of Physics, National Institute of Technology Karnataka, Mangalore 575025, India
| | - Shreyas Punacha
- Department of Physics, National Institute of Technology Karnataka, Mangalore 575025, India
- Department of Oral Health Sciences, School of Dentistry, University of Washington, Seattle, Washington 98195, USA
| | - T K Shajahan
- Department of Physics, National Institute of Technology Karnataka, Mangalore 575025, India
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Tomii N, Yamazaki M, Arafune T, Kamiya K, Nakazawa K, Honjo H, Shibata N, Sakuma I. Interaction of phase singularities on the spiral wave tail: reconsideration of capturing the excitable gap. Am J Physiol Heart Circ Physiol 2018. [DOI: 10.1152/ajpheart.00558.2017] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The action mechanism of stimulation toward spiral waves (SWs) owing to the complex excitation patterns that occur just after point stimulation has not yet been experimentally clarified. This study sought to test our hypothesis that the effect of capturing excitable gap of SWs by stimulation can also be explained as the interaction of original phase singularity (PS) and PSs induced by the stimulation on the wave tail (WT) of the original SW. Phase variance analysis was used to quantitatively analyze the postshock PS trajectories. In a two-dimensional subepicardial layer of Langendorff-perfused rabbit hearts, optical mapping was used to record the excitation pattern during stimulation. After a SW was induced by S1–S2 shock, single biphasic point stimulation S3 was applied. In 70 of the S1-S2-S3 stimulation episodes applied on 6 hearts, the original PS was clearly observed just before the S3 point stimulation in 37 episodes. Pairwise PSs were newly induced by the S3 in 20 episodes. The original PS collided with the newly induced PSs in 16 episodes; otherwise, they did not interact with the original PS. SW shift occurred most efficiently when the S3 shock was applied at the relative refractory period, and PS shifted in the direction of the WT. In conclusion, quantitative tracking of PS clarified that stimulation in desirable conditions induces pairwise PSs on WT and that the collision of PSs causes SW shift along the WT. The results of this study indicate the importance of the interaction of shock-induced excitation with the WT for effective stimulation. NEW & NOTEWORTHY The quantitative analysis of spiral wave dynamics during stimulation clarified the action mechanism of capturing the excitable gap, i.e., the induction of pairwise phase singularities on the wave tail and spiral wave shift along the wave tail as a result of these interactions. The importance of the wave tail for effective stimulation was revealed.
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Affiliation(s)
- Naoki Tomii
- Faculty of Medicine, The University of Tokyo, Tokyo, Japan
| | | | - Tatsuhiko Arafune
- Department of Science and Engineering, Tokyo Denki University, Tokyo, Japan
| | - Kaichiro Kamiya
- Research Institute of Environmental Medicine, Nagoya University, Nagoya, Japan
| | - Kazuo Nakazawa
- National Cerebral and Cardiovascular Research Center, Osaka, Japan
| | - Haruo Honjo
- Research Institute of Environmental Medicine, Nagoya University, Nagoya, Japan
| | | | - Ichiro Sakuma
- Department of Engineering, The University of Tokyo, Tokyo, Japan
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Rostami Z, Jafari S. Defects formation and spiral waves in a network of neurons in presence of electromagnetic induction. Cogn Neurodyn 2018; 12:235-254. [PMID: 29564031 DOI: 10.1007/s11571-017-9472-y] [Citation(s) in RCA: 38] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2017] [Revised: 12/04/2017] [Accepted: 12/29/2017] [Indexed: 11/30/2022] Open
Abstract
Complex anatomical and physiological structure of an excitable tissue (e.g., cardiac tissue) in the body can represent different electrical activities through normal or abnormal behavior. Abnormalities of the excitable tissue coming from different biological reasons can lead to formation of some defects. Such defects can cause some successive waves that may end up to some additional reorganizing beating behaviors like spiral waves or target waves. In this study, formation of defects and the resulting emitted waves in an excitable tissue are investigated. We have considered a square array network of neurons with nearest-neighbor connections to describe the excitable tissue. Fundamentally, electrophysiological properties of ion currents in the body are responsible for exhibition of electrical spatiotemporal patterns. More precisely, fluctuation of accumulated ions inside and outside of cell causes variable electrical and magnetic field. Considering undeniable mutual effects of electrical field and magnetic field, we have proposed the new Hindmarsh-Rose (HR) neuronal model for the local dynamics of each individual neuron in the network. In this new neuronal model, the influence of magnetic flow on membrane potential is defined. This improved model holds more bifurcation parameters. Moreover, the dynamical behavior of the tissue is investigated in different states of quiescent, spiking, bursting and even chaotic state. The resulting spatiotemporal patterns are represented and the time series of some sampled neurons are displayed, as well.
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Affiliation(s)
- Zahra Rostami
- Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413 Iran
| | - Sajad Jafari
- Biomedical Engineering Department, Amirkabir University of Technology, Tehran, 15875-4413 Iran
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Wu F, Wang C, Xu Y, Ma J. Model of electrical activity in cardiac tissue under electromagnetic induction. Sci Rep 2016; 6:28. [PMID: 28442705 PMCID: PMC5431370 DOI: 10.1038/s41598-016-0031-2] [Citation(s) in RCA: 109] [Impact Index Per Article: 13.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2016] [Accepted: 10/31/2016] [Indexed: 11/09/2022] Open
Abstract
Complex electrical activities in cardiac tissue can set up time-varying electromagnetic field. Magnetic flux is introduced into the Fitzhugh-Nagumo model to describe the effect of electromagnetic induction, and then memristor is used to realize the feedback of magnetic flux on the membrane potential in cardiac tissue. It is found that a spiral wave can be triggered and developed by setting specific initials in the media, that is to say, the media still support the survival of standing spiral waves under electromagnetic induction. Furthermore, electromagnetic radiation is considered on this model as external stimuli, it is found that spiral waves encounter breakup and turbulent electrical activities are observed, and it can give guidance to understand the occurrence of sudden heart disorder subjected to heavily electromagnetic radiation.
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Affiliation(s)
- Fuqiang Wu
- Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China
| | - Chunni Wang
- Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China
| | - Ying Xu
- Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China
| | - Jun Ma
- Department of Physics, Lanzhou University of Technology, Lanzhou, 730050, China.
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