Synchronization of two coupled pacemaker cells based on the phase response curve

Hossein Gholizade-Narm, Asad Azemi, Morteza Khademi, Masoud Karimi-Ghartemani

Research output: Contribution to journalArticle

Abstract

In this paper, the synchronization of a pair of pacemaker cells as Sino-Atrial (SA) and Atrio-Ventricullar (AV) nodes have been studied and a new approach for synchronization, based on the concept of Phase Response Curve (PRC), has been proposed. The paper starts with presenting the necessary and sufficient conditions for synchronization in terms of the PRC parameters. Such conditions are time dependent and thus, the paper proceeds with deriving some sufficient conditions, which are not time dependent. The time-delay between the firing time of SA node and when it reaches the AV node is also considered. When the conditions for spontaneous synchronization are not valid, the synchronization is achieved by applying pulses to the AV or the SA nodes or to both of the nodes, depending on the accessibility. The subject has been investigated and sufficient conditions were achieved for all three cases. In each case, the dynamical equations of coupled pacemakers have been determined and the stability analyses of delay dynamical equations between discharges of two pacemakers were performed. The number of excitation pulses and the time intervals for applying them to accessible pacemaker(s) were obtained and eventually some numerical examples were simulated to approve the accuracy of the theoretical results and conditions.

Original languageEnglish (US)
Pages (from-to)57-66
Number of pages10
JournalBiomedical Signal Processing and Control
Volume4
Issue number1
DOIs
StatePublished - Jan 1 2009

Fingerprint

Pacemakers
Synchronization
Sinoatrial Node
Time delay

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Health Informatics

Cite this

Gholizade-Narm, Hossein ; Azemi, Asad ; Khademi, Morteza ; Karimi-Ghartemani, Masoud. / Synchronization of two coupled pacemaker cells based on the phase response curve. In: Biomedical Signal Processing and Control. 2009 ; Vol. 4, No. 1. pp. 57-66.
@article{c5b01bd1c3354d318f1f09ff61a7904d,
title = "Synchronization of two coupled pacemaker cells based on the phase response curve",
abstract = "In this paper, the synchronization of a pair of pacemaker cells as Sino-Atrial (SA) and Atrio-Ventricullar (AV) nodes have been studied and a new approach for synchronization, based on the concept of Phase Response Curve (PRC), has been proposed. The paper starts with presenting the necessary and sufficient conditions for synchronization in terms of the PRC parameters. Such conditions are time dependent and thus, the paper proceeds with deriving some sufficient conditions, which are not time dependent. The time-delay between the firing time of SA node and when it reaches the AV node is also considered. When the conditions for spontaneous synchronization are not valid, the synchronization is achieved by applying pulses to the AV or the SA nodes or to both of the nodes, depending on the accessibility. The subject has been investigated and sufficient conditions were achieved for all three cases. In each case, the dynamical equations of coupled pacemakers have been determined and the stability analyses of delay dynamical equations between discharges of two pacemakers were performed. The number of excitation pulses and the time intervals for applying them to accessible pacemaker(s) were obtained and eventually some numerical examples were simulated to approve the accuracy of the theoretical results and conditions.",
author = "Hossein Gholizade-Narm and Asad Azemi and Morteza Khademi and Masoud Karimi-Ghartemani",
year = "2009",
month = "1",
day = "1",
doi = "10.1016/j.bspc.2008.11.001",
language = "English (US)",
volume = "4",
pages = "57--66",
journal = "Biomedical Signal Processing and Control",
issn = "1746-8094",
publisher = "Elsevier BV",
number = "1",

}

Synchronization of two coupled pacemaker cells based on the phase response curve. / Gholizade-Narm, Hossein; Azemi, Asad; Khademi, Morteza; Karimi-Ghartemani, Masoud.

In: Biomedical Signal Processing and Control, Vol. 4, No. 1, 01.01.2009, p. 57-66.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Synchronization of two coupled pacemaker cells based on the phase response curve

AU - Gholizade-Narm, Hossein

AU - Azemi, Asad

AU - Khademi, Morteza

AU - Karimi-Ghartemani, Masoud

PY - 2009/1/1

Y1 - 2009/1/1

N2 - In this paper, the synchronization of a pair of pacemaker cells as Sino-Atrial (SA) and Atrio-Ventricullar (AV) nodes have been studied and a new approach for synchronization, based on the concept of Phase Response Curve (PRC), has been proposed. The paper starts with presenting the necessary and sufficient conditions for synchronization in terms of the PRC parameters. Such conditions are time dependent and thus, the paper proceeds with deriving some sufficient conditions, which are not time dependent. The time-delay between the firing time of SA node and when it reaches the AV node is also considered. When the conditions for spontaneous synchronization are not valid, the synchronization is achieved by applying pulses to the AV or the SA nodes or to both of the nodes, depending on the accessibility. The subject has been investigated and sufficient conditions were achieved for all three cases. In each case, the dynamical equations of coupled pacemakers have been determined and the stability analyses of delay dynamical equations between discharges of two pacemakers were performed. The number of excitation pulses and the time intervals for applying them to accessible pacemaker(s) were obtained and eventually some numerical examples were simulated to approve the accuracy of the theoretical results and conditions.

AB - In this paper, the synchronization of a pair of pacemaker cells as Sino-Atrial (SA) and Atrio-Ventricullar (AV) nodes have been studied and a new approach for synchronization, based on the concept of Phase Response Curve (PRC), has been proposed. The paper starts with presenting the necessary and sufficient conditions for synchronization in terms of the PRC parameters. Such conditions are time dependent and thus, the paper proceeds with deriving some sufficient conditions, which are not time dependent. The time-delay between the firing time of SA node and when it reaches the AV node is also considered. When the conditions for spontaneous synchronization are not valid, the synchronization is achieved by applying pulses to the AV or the SA nodes or to both of the nodes, depending on the accessibility. The subject has been investigated and sufficient conditions were achieved for all three cases. In each case, the dynamical equations of coupled pacemakers have been determined and the stability analyses of delay dynamical equations between discharges of two pacemakers were performed. The number of excitation pulses and the time intervals for applying them to accessible pacemaker(s) were obtained and eventually some numerical examples were simulated to approve the accuracy of the theoretical results and conditions.

UR - http://www.scopus.com/inward/record.url?scp=58149093167&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=58149093167&partnerID=8YFLogxK

U2 - 10.1016/j.bspc.2008.11.001

DO - 10.1016/j.bspc.2008.11.001

M3 - Article

AN - SCOPUS:58149093167

VL - 4

SP - 57

EP - 66

JO - Biomedical Signal Processing and Control

JF - Biomedical Signal Processing and Control

SN - 1746-8094

IS - 1

ER -