Control of moving pulses in an one-dimensional model of cardiac tissue

Yelena Smagina*, Moshe Sheintuch

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper develops a new model-based control aimed to stabilize the propagation velocity of electrical pulses circulating in an one-dimensional ring model of the cardiac tissue. The controller induces small currents using electrodes placed along the ring. This current responds to the discrepancy between the pulse front voltage, measured at an electrode, and a voltage of a set pulse front at the same space point. The proposed control is, in fact, a distributed continuous-time feedback control that stabilizes the spatiotemporal evolution by using a finite number of electrodes implanted on the heart. We present a systematic methodology to predict conditions for pulse instability using linear analysis of the lumped truncated mathematical model of the cardiac tissue. The control effectiveness is measured by the critical length (L*) below which the pulse becomes oscillatory in a moving coordinate. This domain enlarges from L* = 10.1cm in the open-loop system to 9.0cm and 8.0cm in the closed-loop system with 2 and 8 electrodes. The validity of control is justified by using the map that connects sensor positions at neighboring time steps.

Original languageEnglish
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
StatePublished - 2011
Externally publishedYes

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


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