Effect of Two-Part Inhomogeneity on Spiral Wave Dynamics in Excitable Media

2011 ◽  
Author(s):  
Huan Zhang ◽  
Guoyong Yuan ◽  
Hongling Fan ◽  
Shaoying Chen
Keyword(s):  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics

scholarly journals Optogenetics enables real-time spatiotemporal control over spiral wave dynamics in an excitable cardiac system

eLife ◽  
2018 ◽  
Vol 7 ◽  
Author(s):  
Rupamanjari Majumder ◽  
Iolanda Feola ◽  
Alexander S Teplenin ◽  
Antoine AF de Vries ◽  
Alexander V Panfilov ◽  
...  
Keyword(s):  
Real Time ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Media ◽  
Wave Dynamics ◽  
Linear Waves ◽  
Cardiac System ◽  
Spatiotemporal Control ◽  
Forced Movement

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.

Spiral wave dynamics in excitable media with spherical geometries

2006 ◽  
Vol 16 (3) ◽  
pp. 037115 ◽  
Author(s):  
Katrin Rohlf ◽  
Leon Glass ◽  
Raymond Kapral
Keyword(s):  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics

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
Keyword(s):  
Traveling Wave ◽  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics ◽  
Wave Modulation

Effect of straining on spiral wave dynamics in excitable media

2020 ◽  
Vol 409 ◽  
pp. 132483
Author(s):  
Devanand Jaiswal ◽  
Jiten C. Kalita
Keyword(s):  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics

scholarly journals Optogenetics enables real-time spatiotemporal control over spiral wave dynamics in an excitable cardiac system

2018 ◽  
Author(s):  
Rupamanjari Majumder ◽  
Iolanda Feola ◽  
Alexander S. Teplenin ◽  
Antoine A. F. de Vries ◽  
Alexander V. Panfilov ◽  
...  
Keyword(s):  
Real Time ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Media ◽  
Wave Dynamics ◽  
Linear Waves ◽  
Cardiac System ◽  
Spatiotemporal Control ◽  
Forced Movement

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.

Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation

1990 ◽  
Vol 42 (4) ◽  
pp. 2489-2492 ◽  
Author(s):  
Dwight Barkley ◽  
Mark Kness ◽  
Laurette S. Tuckerman
Keyword(s):  
Simple Model ◽  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics ◽  
Compound Rotation

Simple and complex spiral wave dynamics

1994 ◽  
Vol 347 (1685) ◽  
pp. 677-685 ◽  
Keyword(s):  
Experimental Studies ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Excitable Media ◽  
Nonlinear Phenomena ◽  
Periodic Modulation ◽  
Experimental Conditions ◽  
Wave Dynamics ◽  
System A ◽  
Dynamical Regimes

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.

Size matters: Effects of the size of heterogeneity on the wave re-entry and spiral wave formation in an excitable media

2021 ◽  
Vol 31 (5) ◽  
pp. 053131
Author(s):  
Karthikeyan Rajagopal ◽  
Shaobo He ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Spiral Wave ◽  
Wave Formation ◽  
Excitable Media
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