Twisted scroll wave dynamics: partially pinned waves in excitable chemical media

Porjai, Porramain; Sutthiopad, Malee; Khaothong, Kritsana; Phantu, Metinee; Kumchaiseemak, Nakorn; Luengviriya, Jiraporn; Showalter, Kenneth; Luengviriya, Chaiya

doi:10.1039/c8cp06948d

Cited by 3 publications

(1 citation statement)

References 41 publications

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“…Reaction-diffusion systems are extensively used in the study of self-organized phenomena that occur in open systems out of equilibrium [20][21][22][23][24][25][26]. They are useful in many fields such as biology [27][28][29][30][31][32][33][34][35][36][37], chemistry [38][39][40][41][42][43][44][45][46][47][48][49], medicine [50][51][52][53], neuroscience [54][55][56][57][58], physics [59][60][61][62] and ecology [63][64][65][66]. Reaction-diffusion systems were first proposed by Alan Turing in the study of morphogenesis [67].…”

Section: Introductionmentioning

confidence: 99%

Pattern formation in reaction-diffusion systems in the presence of non-Markovian diffusion

Torabi

Davidsen

2019

Phys. Rev. E

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We study reaction-diffusion systems beyond the Markovian approximation to take into account the effect of memory on the formation of spatio-temporal patterns. Using a non-Markovian Brusselator model as a paradigmatic example, we show how to use reductive perturbation to investigate the formation and stability of patterns. Focusing in detail on the Hopf instability and short-term memory, we derive the corresponding complex Ginzburg-Landau equation that governs the amplitude of the critical mode and we establish the explicit dependence of its parameters on the memory properties. Numerical solution of this memory dependent complex Ginzburg-Landau equation as well as direct numerical simulation of the non-Markovian Brusselator model illustrate that memory changes the properties of the spatio-temporal patterns. Our results indicate that going beyond the Markovian approximation might be necessary to study the formation of spatio-temporal patterns even in systems with short-term memory. At the same time, our work opens up a new window into the control of these patterns using memory. arXiv:1907.05304v2 [nlin.PS]

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Section: Introductionmentioning

confidence: 99%

Pattern formation in reaction-diffusion systems in the presence of non-Markovian diffusion

Torabi

Davidsen

2019

Phys. Rev. E

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Dynamics of spiral waves and bubble formation in a closed chemical system of thin photosensitive excitable media

Khaothong

Chanchang

Kanchanawarin

et al. 2021

J. Phys.: Conf. Ser.

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Spiral waves have been observed in a thin layer of excitable media. Especially, electrical spiral waves in cardiac tissues connect to cardiac tachycardia and life-threatening fibrillations. The Belousov-Zhabotinsky (BZ) reaction is the most widely used system to study the dynamics of spiral waves in experiments. When the light sensitive Ru(bpy)3 2+ is used as the catalyst, the BZ reaction becomes photosensitive and the excitability of the reaction can be controlled by varying the illumination intensity. However, the typical photosensitive BZ reaction produces many CO2 bubbles so the spiral waves are always studied in thin layer media with opened top surfaces to release the bubbles. In this work, we develop new chemical recipes of the photosensitive BZ reaction which produces less bubbles. To observe the production of bubbles, we investigate the dynamics of spiral waves in a closed thin layer system. The results show that both the speed of spiral waves and the number of bubbles increase with the concentration of sulfuric acid (H2SO4) and sodium bromate (NaBrO3). For high initial concentrations of both reactants, the size of bubbles increases with time until the wave structures are destroyed. We expect that the chemical recipes reported here can be used to study complicated dynamics of three-dimensional spiral waves in thick BZ media where the bubbles cannot escape.

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Effect of excitability on partially pinned scroll waves in excitable chemical media

Khaothong,

Osaklung,

Sutthiopad

et al. 2023

Phys. Rev. E

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Twisted scroll wave dynamics: partially pinned waves in excitable chemical media

Abstract: We present an investigation of the dynamics of scroll waves that are partially pinned to inert cylindrical obstacles of varying lengths and diameters in three-dimensional Belousov–Zhabotinsky excitable media.

Cited by 3 publications

References 41 publications

Pattern formation in reaction-diffusion systems in the presence of non-Markovian diffusion

Pattern formation in reaction-diffusion systems in the presence of non-Markovian diffusion

Dynamics of spiral waves and bubble formation in a closed chemical system of thin photosensitive excitable media

Effect of excitability on partially pinned scroll waves in excitable chemical media

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