Defects formation and wave emitting from defects in excitable media

Ma, Jun; Xu, Ying; Tang, Jun

doi:10.1016/j.cnsns.2015.10.013

Cited by 18 publications

(5 citation statements)

References 44 publications

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“…The effects of such a regular network have also been used in the context of neural-network systems to study electrical-wave activation [35][36][37]. In particular, recent studies by Ma et al [37] have used a two-dimensional square array with nearestneighbor interactions to study defect-induced electrical-wave propagation in a neural network.…”

Section: Discussionmentioning

confidence: 99%

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Spiral-wave dynamics in a mathematical model of human ventricular tissue with myocytes and Purkinje fibers

2017

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We present systematic numerical studies of the possible effects of the coupling of human endocardial and Purkinje cells at cellular and two-dimensional tissue levels. We find that the autorhythmic-activity frequency of the Purkinje cell in a composite decreases with an increase in the coupling strength; this can even eliminate the autorhythmicity. We observe a delay between the beginning of the action potentials of endocardial and Purkinje cells in a composite; such a delay increases as we decrease the diffusive coupling, and eventually a failure of transmission occurs. An increase in the diffusive coupling decreases the slope of the action-potential-durationrestitution curve of an endocardial cell in a composite. By using a minimal model for the Purkinje network, in which we have a two-dimensional, bilayer tissue, with a layer of Purkinje cells on top of a layer of endocardial cells, we can stabilize spiral-wave turbulence; however, for a sparse distribution of Purkinje-ventricular junctions, at which these two layers are coupled, we can also obtain additional focal activity and many complex transient regimes. We also present additional effects resulting from the coupling of Purkinje and endocardial layers and discuss the relation of our results to the studies performed in anatomically accurate models of the Purkinje network.

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Section: Discussionmentioning

confidence: 99%

“…In particular, recent studies by Ma et al [37] have used a two-dimensional square array with nearestneighbor interactions to study defect-induced electrical-wave propagation in a neural network.…”

Section: Discussionmentioning

confidence: 99%

Spiral-wave dynamics in a mathematical model of human ventricular tissue with myocytes and Purkinje fibers

2017

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“…Furthermore, spiral pattern can take place in many excitable media including the oxidation of CO on platinum (Bertram et al 2003;Beta et al 2003Beta et al , 2004Jakubith et al 1990). Also there have been some studies focusing on spiral tip trajectory and its possible stability or instability (Fenton et al 2002), meandering behaviors of spiral seed (Ma et al 2008), pinned spiral waves (Chen et al 2014a;Liu et al 2014), defects in the tissue (Hildebrand et al 1995;Ma et al 2016b;Qin et al 2015) and resulting spatiotemporal patterns including spiral patterns in some excitable tissues including cardiac tissue (Clayton et al 2011;Fenton et al 2002). Besides, the effects of presence of different couplings like field coupling and the resulting collective behaviors is an interesting approach to investigate spatiotemporal pattern and signal propagation (Guo et al 2017).…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, it is also possible that the tissue encounter some deformations because of abnormalities caused by electromagnetic radiation exposure to the tissue, which is so harmful (Ma et al 2016b). Considering physical phenomenon in presence of electromagnetic radiation, which can bring the components of the tissue some dielectric polarizations, some polarization currents can be formed in the tissue.…”

Section: Introductionmentioning

confidence: 99%

“…Formation of some internal defects due to these polarization currents can be possible under some particular circumstances. In this study, we have focused on this kind of deformations called internal defects (Ma et al 2016b). Hence, some additional currents can start to flow, because of dielectric polarization leading the tissue encounter some internal defects.…”

Section: Introductionmentioning

confidence: 99%

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Defects formation and spiral waves in a network of neurons in presence of electromagnetic induction

Rostami

Jafari

2018

Cogn Neurodyn

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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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