Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

Fatemeh Parastesh; Karthikeyan Rajagopal; Fawaz E. Alsaadi; Tasawar Hayat; V. T. Pham; Iqtadar Hussain

doi:10.1016/j.amc.2019.02.041

Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

Fatemeh Parastesh
, Karthikeyan Rajagopal
, Fawaz E. Alsaadi
, Tasawar Hayat
, V. T. Pham
, Iqtadar Hussain

Amirkabir University of Technology
Defence University, College of Engineering
King Abdulaziz University
Quaid-I-Azam University
Phenikaa University
Phenikaa Research and Technology Institute (PRATI)
Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.

Original language	English
Pages (from-to)	377-384
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	354
DOIs	https://doi.org/10.1016/j.amc.2019.02.041
State	Published - 1 Aug 2019
Externally published	Yes

Keywords

External electromagnetic excitation
Modified HR model
Neuronal network
Spiral wave

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10.1016/j.amc.2019.02.041

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title = "Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media",

abstract = "Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.",

keywords = "External electromagnetic excitation, Modified HR model, Neuronal network, Spiral wave",

author = "Fatemeh Parastesh and Karthikeyan Rajagopal and Alsaadi, \{Fawaz E.\} and Tasawar Hayat and Pham, \{V. T.\} and Iqtadar Hussain",

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doi = "10.1016/j.amc.2019.02.041",

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T1 - Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

AU - Parastesh, Fatemeh

AU - Rajagopal, Karthikeyan

AU - Alsaadi, Fawaz E.

AU - Hayat, Tasawar

AU - Pham, V. T.

AU - Hussain, Iqtadar

PY - 2019/8/1

Y1 - 2019/8/1

N2 - Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.

AB - Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.

KW - External electromagnetic excitation

KW - Modified HR model

KW - Neuronal network

KW - Spiral wave

UR - https://www.scopus.com/pages/publications/85062206115

U2 - 10.1016/j.amc.2019.02.041

DO - 10.1016/j.amc.2019.02.041

M3 - Article

AN - SCOPUS:85062206115

SN - 0096-3003

VL - 354

SP - 377

EP - 384

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

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Keywords

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