Spiral wave dynamics under traveling-wave modulation of excitable media

2006 ◽  
Vol 73 (3) ◽  
pp. 335-341 ◽  
Author(s):  
S Zykov ◽  
V. S Zykov ◽  
V Davydov
eLife ◽  
2018 ◽  
Vol 7 ◽  
Author(s):  
Rupamanjari Majumder ◽  
Iolanda Feola ◽  
Alexander S Teplenin ◽  
Antoine AF de Vries ◽  
Alexander V Panfilov ◽  
...  

Propagation of non-linear waves is key to the functioning of diverse biological systems. Such waves can organize into spirals, rotating around a core, whose properties determine the overall wave dynamics. Theoretically, manipulation of a spiral wave core should lead to full spatiotemporal control over its dynamics. However, this theory lacks supportive evidence (even at a conceptual level), making it thus a long-standing hypothesis. Here, we propose a new phenomenological concept that involves artificially dragging spiral waves by their cores, to prove the aforementioned hypothesis in silico, with subsequent in vitro validation in optogenetically modified monolayers of rat atrial cardiomyocytes. We thereby connect previously established, but unrelated concepts of spiral wave attraction, anchoring and unpinning to demonstrate that core manipulation, through controlled displacement of heterogeneities in excitable media, allows forced movement of spiral waves along pre-defined trajectories. Consequently, we impose real-time spatiotemporal control over spiral wave dynamics in a biological system.


2006 ◽  
Vol 16 (3) ◽  
pp. 037115 ◽  
Author(s):  
Katrin Rohlf ◽  
Leon Glass ◽  
Raymond Kapral

2020 ◽  
Vol 409 ◽  
pp. 132483
Author(s):  
Devanand Jaiswal ◽  
Jiten C. Kalita

2018 ◽  
Author(s):  
Rupamanjari Majumder ◽  
Iolanda Feola ◽  
Alexander S. Teplenin ◽  
Antoine A. F. de Vries ◽  
Alexander V. Panfilov ◽  
...  

AbstractPropagation of non-linear waves is key to the functioning of diverse biological systems. Such waves can organize into spirals, rotating around a core, whose properties determine the overall wave dynamics. Theoretically, manipulation of a spiral wave core should lead to full spatiotemporal control over its dynamics. However, this theory lacks supportive evidence (even at a conceptual level), making it thus a long-standing hypothesis. Here, we propose a new phenomenological concept that involves artificially dragging spiral waves by their cores, to prove the afore-mentioned hypothesis in silico, with subsequent in vitro validation in optogenetically-modified monolayers of rat atrial cardiomyocytes. We thereby connect previously established, but unrelated concepts of spiral wave attraction, anchoring and unpinning to demonstrate that core manipulation, through controlled displacement of heterogeneities in excitable media, allows forced movement of spiral waves along pre-defined trajectories. Consequently, we impose real-time spatiotemporal control over spiral wave dynamics in a biological system.


1990 ◽  
Vol 42 (4) ◽  
pp. 2489-2492 ◽  
Author(s):  
Dwight Barkley ◽  
Mark Kness ◽  
Laurette S. Tuckerman

Spiral waves rotating in an excitable medium present a classical example of unusual nonlinear phenomena in distributed systems. In this paper we discuss the results of experimental studies of spiral wave dynamics in homogeneous excitable media which are modifications of the Belousov-Zhabotinsky system. A variety of dynamical regimes from very simple and well ordered to irregular complex ones are described that are created under different experimental conditions. Spiral wave dynamics is considered in stationary media with different excitability, under the influence of the boundary conditions, and under a periodic modulation of a parameter of the medium. The experimentally observed patterns are compared with the data of computer simulations on the basis of equations representing the properties of excitable media.


2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
M. Osman Gani ◽  
Toshiyuki Ogawa

The determination of the mechanisms of spiral breakup in excitable media is still an open problem for researchers. In the context of cardiac electrophysiological activities, spiral breakup exhibits complex spatiotemporal pattern known as ventricular fibrillation. The latter is the major cause of sudden cardiac deaths all over the world. In this paper, we numerically study the instability of periodic planar traveling wave solution in two dimensions. The emergence of stable spiral pattern is observed in the considered model. This pattern occurs when the heart is malfunctioning (i.e., ventricular tachycardia). We show that the spiral wave breakup is a consequence of the transverse instability of the planar traveling wave solutions. The alternans, that is, the oscillation of pulse widths, is observed in our simulation results. Moreover, we calculate the widths of spiral pulses numerically and observe that the stable spiral pattern bifurcates to an oscillatory wave pattern in a one-parameter family of solutions. The spiral breakup occurs far below the bifurcation when the maximum and the minimum excited states become more distinct, and hence the alternans becomes more pronounced.


2021 ◽  
Vol 31 (5) ◽  
pp. 053131
Author(s):  
Karthikeyan Rajagopal ◽  
Shaobo He ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy

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