@inproceedings{9dbba166b3bf4ebfb1c4bebb28e5a900,
title = "Control of moving pulses in an one-dimensional model of cardiac tissue",
abstract = "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.",
author = "Yelena Smagina and Moshe Sheintuch",
note = "Funding Information: ★ Supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center of Nonlinear Dynamics. YS is partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel.",
year = "2011",
doi = "10.3182/20110828-6-IT-1002.01402",
language = "英语",
isbn = "9783902661937",
series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
publisher = "IFAC Secretariat",
number = "1 PART 1",
pages = "5377--5382",
booktitle = "Proceedings of the 18th IFAC World Congress",
address = "Austria",
edition = "1 PART 1",
}