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  1. Article ; Online: Intermittent trapping of spiral waves in a cardiac model.

    Rappel, Wouter-Jan

    Physical review. E

    2022  Volume 105, Issue 1-1, Page(s) 14404

    Abstract: Spiral waves are found in many excitable systems and are thought to play a role in the incoherent electrical activation that underlies cardiac arrhythmias. It is well-known that spiral waves can be permanently trapped by local heterogeneities. In this ... ...

    Abstract Spiral waves are found in many excitable systems and are thought to play a role in the incoherent electrical activation that underlies cardiac arrhythmias. It is well-known that spiral waves can be permanently trapped by local heterogeneities. In this paper, we demonstrate that spiral waves can also be intermittently trapped by such heterogeneities. Using simulations of a cardiac model in two dimensions, we show that a tissue heterogeneity of sufficient strength or size can result in a spiral wave that is trapped for a few rotations, after which it dislodges and meanders away from the heterogeneity. We also show that these results can be captured by a particle model in which the particle represents the spiral wave tip. For both models, we construct a phase diagram which quantifies which parameter combinations of heterogeneity size and strength result in permanent, intermittent, or no trapping. Our results are consistent with clinical observations in patients with atrial fibrillation that showed that spiral wave reentry can be intermittent.
    MeSH term(s) Action Potentials/physiology ; Atrial Fibrillation ; Computer Simulation ; Heart ; Humans ; Models, Cardiovascular
    Language English
    Publishing date 2022-03-04
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.105.014404
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  2. Article: The physics of heart rhythm disorders.

    Rappel, Wouter-Jan

    Physics reports

    2022  Volume 978, Page(s) 1–45

    Abstract: The global burden caused by cardiovascular disease is substantial, with heart disease representing the most common cause of death around the world. There remains a need to develop better mechanistic models of cardiac function in order to combat this ... ...

    Abstract The global burden caused by cardiovascular disease is substantial, with heart disease representing the most common cause of death around the world. There remains a need to develop better mechanistic models of cardiac function in order to combat this health concern. Heart rhythm disorders, or arrhythmias, are one particular type of disease which has been amenable to quantitative investigation. Here we review the application of quantitative methodologies to explore dynamical questions pertaining to arrhythmias. We begin by describing single-cell models of cardiac myocytes, from which two and three dimensional models can be constructed. Special focus is placed on results relating to pattern formation across these spatially-distributed systems, especially the formation of spiral waves of activation. Next, we discuss mechanisms which can lead to the initiation of arrhythmias, focusing on the dynamical state of spatially discordant alternans, and outline proposed mechanisms perpetuating arrhythmias such as fibrillation. We then review experimental and clinical results related to the spatio-temporal mapping of heart rhythm disorders. Finally, we describe treatment options for heart rhythm disorders and demonstrate how statistical physics tools can provide insights into the dynamics of heart rhythm disorders.
    Language English
    Publishing date 2022-07-06
    Publishing country Netherlands
    Document type Journal Article
    ZDB-ID 120601-1
    ISSN 0370-1573
    ISSN 0370-1573
    DOI 10.1016/j.physrep.2022.06.003
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  3. Article ; Online: Annihilation dynamics during spiral defect chaos revealed by particle models.

    Tyree, Timothy J / Murphy, Patrick / Rappel, Wouter-Jan

    ArXiv

    2024  

    Abstract: Pair-annihilation events are ubiquitous in a variety of spatially extended systems and are often studied using computationally expensive simulations. Here we develop an approach in which we simulate the pair-annihilation of spiral wave tips in cardiac ... ...

    Abstract Pair-annihilation events are ubiquitous in a variety of spatially extended systems and are often studied using computationally expensive simulations. Here we develop an approach in which we simulate the pair-annihilation of spiral wave tips in cardiac models using a computationally efficient particle model. Spiral wave tips are represented as particles with dynamics governed by diffusive behavior and short-ranged attraction. The parameters for diffusion and attraction are obtained by comparing particle motion to the trajectories of spiral wave tips in cardiac models during spiral defect chaos. The particle model reproduces the annihilation rates of the cardiac models and can determine the statistics of spiral wave dynamics, including its mean termination time. We show that increasing the attraction coefficient sharply decreases the mean termination time, making it a possible target for pharmaceutical intervention. Many physical systems exhibit annihilation events during which pairs of objects collide and are removed from the system. These events occur in a number of soft-matter and active-matter systems that exhibit spatiotemporal patterning. For example, topological defects in nematic liquid crystals can develop motile topological defects that annihilate when they meet
    Language English
    Publishing date 2024-02-15
    Publishing country United States
    Document type Preprint
    ISSN 2331-8422
    ISSN (online) 2331-8422
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  4. Article ; Online: Boolean modelling in plant biology.

    Karanam, Aravind / Rappel, Wouter-Jan

    Quantitative plant biology

    2022  Volume 3, Page(s) e29

    Abstract: Signalling and genetic networks underlie most biological processes and are often complex, containing many highly connected components. Modelling these networks can provide insight into mechanisms but is challenging given that rate parameters are often ... ...

    Abstract Signalling and genetic networks underlie most biological processes and are often complex, containing many highly connected components. Modelling these networks can provide insight into mechanisms but is challenging given that rate parameters are often not well defined. Boolean modelling, in which components can only take on a binary value with connections encoded by logic equations, is able to circumvent some of these challenges, and has emerged as a viable tool to probe these complex networks. In this review, we will give an overview of Boolean modelling, with a specific emphasis on its use in plant biology. We review how Boolean modelling can be used to describe biological networks and then discuss examples of its applications in plant genetics and plant signalling.
    Language English
    Publishing date 2022-12-20
    Publishing country England
    Document type Journal Article ; Review
    ISSN 2632-8828
    ISSN (online) 2632-8828
    DOI 10.1017/qpb.2022.26
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  5. Article ; Online: Spatially Conserved Spiral Wave Activity During Human Atrial Fibrillation.

    Rappel, Wouter-Jan / Baykaner, Tina / Zaman, Junaid / Ganesan, Prasanth / Rogers, Albert J / Narayan, Sanjiv M

    Circulation. Arrhythmia and electrophysiology

    2024  Volume 17, Issue 3, Page(s) e012041

    Abstract: Background: Atrial fibrillation is the most common cardiac arrhythmia in the world and increases the risk for stroke and morbidity. During atrial fibrillation, the electric activation fronts are no longer coherently propagating through the tissue and, ... ...

    Abstract Background: Atrial fibrillation is the most common cardiac arrhythmia in the world and increases the risk for stroke and morbidity. During atrial fibrillation, the electric activation fronts are no longer coherently propagating through the tissue and, instead, show rotational activity, consistent with spiral wave activation, focal activity, collision, or partial versions of these spatial patterns. An unexplained phenomenon is that although simulations of cardiac models abundantly demonstrate spiral waves, clinical recordings often show only intermittent spiral wave activity.
    Methods: In silico data were generated using simulations in which spiral waves were continuously created and annihilated and in simulations in which a spiral wave was intermittently trapped at a heterogeneity. Clinically, spatio-temporal activation maps were constructed using 60 s recordings from a 64 electrode catheter within the atrium of N=34 patients (n=24 persistent atrial fibrillation). The location of clockwise and counterclockwise rotating spiral waves was quantified and all intervals during which these spiral waves were present were determined. For each interval, the angle of rotation as a function of time was computed and used to determine whether the spiral wave returned in step or changed phase at the start of each interval.
    Results: In both simulations, spiral waves did not come back in phase and were out of step." In contrast, spiral waves returned in step in the majority (68%;
    Conclusions: Intermittency of spiral wave activity represents conserved spiral wave activity of long, but interrupted duration or transient spiral activity, in the majority of patients. This finding could have important ramifications for identifying clinically important forms of atrial fibrillation and in guiding treatment.
    MeSH term(s) Humans ; Atrial Fibrillation/diagnosis ; Heart Atria ; Catheters ; Cardiac Conduction System Disease ; Computer Simulation
    Language English
    Publishing date 2024-02-13
    Publishing country United States
    Document type Journal Article ; Research Support, N.I.H., Extramural
    ZDB-ID 2426129-4
    ISSN 1941-3084 ; 1941-3149
    ISSN (online) 1941-3084
    ISSN 1941-3149
    DOI 10.1161/CIRCEP.123.012041
    Database MEDical Literature Analysis and Retrieval System OnLINE

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  6. Article ; Online: Cell-cell communication during collective migration.

    Rappel, Wouter-Jan

    Proceedings of the National Academy of Sciences of the United States of America

    2016  Volume 113, Issue 6, Page(s) 1471–1473

    MeSH term(s) Animals ; Cell Communication ; Female ; Models, Biological ; Morphogenesis
    Language English
    Publishing date 2016-01-22
    Publishing country United States
    Document type Journal Article ; Research Support, N.I.H., Extramural ; Comment
    ZDB-ID 209104-5
    ISSN 1091-6490 ; 0027-8424
    ISSN (online) 1091-6490
    ISSN 0027-8424
    DOI 10.1073/pnas.1524893113
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  7. Article ; Online: Chaotic tip trajectories of a single spiral wave in the presence of heterogeneities.

    Lombardo, Daniel M / Rappel, Wouter-Jan

    Physical review. E

    2019  Volume 99, Issue 6-1, Page(s) 62409

    Abstract: Spiral waves have been observed in a variety of physical, chemical, and biological systems. They play a major role in cardiac arrhythmias, including fibrillation, where the observed irregular activation patterns are generally thought to arise from the ... ...

    Abstract Spiral waves have been observed in a variety of physical, chemical, and biological systems. They play a major role in cardiac arrhythmias, including fibrillation, where the observed irregular activation patterns are generally thought to arise from the continuous breakup of multiple unstable spiral waves. Using spatially extended simulations of different electrophysiological models of cardiac tissue, we show that a single spiral wave in the presence of heterogeneities can display chaotic tip trajectories, consistent with fibrillation. We also show that the simulated spiral tip dynamics, including chaotic trajectories, can be captured by a simple particle model which only describes the dynamics of the spiral tip. This shows that spiral wave breakup, or interactions with other waves, are not necessary to initiate chaos in spiral waves.
    Language English
    Publishing date 2019-07-22
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.99.062409
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  8. Article ; Online: Extinction dynamics of spiral defect chaos.

    Vidmar, David / Rappel, Wouter-Jan

    Physical review. E

    2019  Volume 99, Issue 1-1, Page(s) 12407

    Abstract: Spatially extended excitable systems can exhibit spiral defect chaos (SDC) during which spiral waves continuously form and disappear. To address how this dynamical state terminates using simulations can be computationally challenging, especially for ... ...

    Abstract Spatially extended excitable systems can exhibit spiral defect chaos (SDC) during which spiral waves continuously form and disappear. To address how this dynamical state terminates using simulations can be computationally challenging, especially for large systems. To circumvent this limitation, we treat the number of spiral waves as a stochastic population with a corresponding birth-death equation and use techniques from statistical physics to determine the mean episode duration of SDC. Motivated by cardiac fibrillation, during which the heart's electrical activity becomes disorganized and shows fragmenting spiral waves, we use generic models of cardiac electrophysiology. We show that the duration can be computed in minimal computational time and that it depends exponentially on domain size. Therefore, the approach can result in efficient and accurate predictions of mean episode duration which may be extended to more complex geometries and models.
    Language English
    Publishing date 2019-02-16
    Publishing country United States
    Document type Journal Article
    ZDB-ID 2844562-4
    ISSN 2470-0053 ; 2470-0045
    ISSN (online) 2470-0053
    ISSN 2470-0045
    DOI 10.1103/PhysRevE.99.012407
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  9. Article: Predicting acute termination and non-termination during ablation of human atrial fibrillation using quantitative indices.

    Kappel, Cole / Reiss, Michael / Rodrigo, Miguel / Ganesan, Prasanth / Narayan, Sanjiv M / Rappel, Wouter-Jan

    Frontiers in physiology

    2022  Volume 13, Page(s) 939350

    Abstract: Background: ...

    Abstract Background:
    Language English
    Publishing date 2022-11-22
    Publishing country Switzerland
    Document type Journal Article
    ZDB-ID 2564217-0
    ISSN 1664-042X
    ISSN 1664-042X
    DOI 10.3389/fphys.2022.939350
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  10. Article ; Online: To the Editor- On the deformation and interpolation of phase maps.

    Vidmar, David / Rappel, Wouter-Jan

    Heart rhythm

    2017  Volume 15, Issue 2, Page(s) e3

    Language English
    Publishing date 2017-11-04
    Publishing country United States
    Document type Letter ; Comment
    ZDB-ID 2229357-7
    ISSN 1556-3871 ; 1547-5271
    ISSN (online) 1556-3871
    ISSN 1547-5271
    DOI 10.1016/j.hrthm.2017.11.004
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