國立高雄大學圖資館 |

Language: English

Back

Issues in the one-dimensional dynami...

Cain, John Wesley.

Issues in the one-dimensional dynamics of a paced cardiac fiber.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Issues in the one-dimensional dynamics of a paced cardiac fiber.
Author:	Cain, John Wesley.
Description:	110 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-06, Section: B, page: 3159.
Notes:	Supervisor: David G. Schaeffer.
Contained By:	Dissertation Abstracts International66-06B.
Subject:	Mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3179221
ISBN:	0542191822

Issues in the one-dimensional dynamics of a paced cardiac fiber.
Cain, John Wesley.

Issues in the one-dimensional dynamics of a paced cardiac fiber. - 110 p.

Source: Dissertation Abstracts International, Volume: 66-06, Section: B, page: 3159.

Thesis (Ph.D.)--Duke University, 2005.

Consider a typical experimental protocol in which a one-dimensional fiber of cardiac tissue is periodically stimulated, or paced, resulting in a train of propagating action potentials. There is evidence that a sudden change in the pacing period, say from Bold to B new, can initiate abnormal cardiac rhythms. In this dissertation, we analyze how the fiber responds to such a change in a regime without arrhythmias.

ISBN: 0542191822Subjects--Topical Terms:

184409
Mathematics.

Issues in the one-dimensional dynamics of a paced cardiac fiber.
LDR:02855nmm _2200301 _450 001 167418
005 20061005085932.5
008 090528s2005 eng d
020 $a 0542191822
035 $a 00198034
040 $a UnM $c UnM
100 0 $a Cain, John Wesley. $3 237566
245 1 0 $a Issues in the one-dimensional dynamics of a paced cardiac fiber.
300 $a 110 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-06, Section: B, page: 3159.
500 $a Supervisor: David G. Schaeffer.
502 $a Thesis (Ph.D.)--Duke University, 2005.
520 # $a Consider a typical experimental protocol in which a one-dimensional fiber of cardiac tissue is periodically stimulated, or paced, resulting in a train of propagating action potentials. There is evidence that a sudden change in the pacing period, say from Bold to B new, can initiate abnormal cardiac rhythms. In this dissertation, we analyze how the fiber responds to such a change in a regime without arrhythmias.
520 # $a More quantitatively, suppose that a fiber of length L is paced at x = 0, where the length variable x denotes the distance from the pacing site. Changing the pacing period from Bold to Bnew introduces spatial variation in action potential duration (APD). Provided that B new is sufficiently large, long-term pacing with the new period leads to a steady-state response in which APD is constant, say A*, along the entire fiber. The convergence to steady-state can be monitored by measuring An(x), the APD following the nth stimulus applied with period Bnew. Mathematically, our problem can be formulated as follows: Givenanyh >0,determineN=N h,Lsuch that Anx -A*<h, ∀x∈0,L, ∀n>N.
520 # $a To address this problem, we derive an infinite sequence of linear integral equations from a standard kinematic model of fiber dynamics. These integral equations can be solved exactly to yield approximations of the functions An(x) in terms of generalized Laguerre polynomials. We then estimate N using an asymptotic approximation for generalized Laguerre polynomials. We find that, for lengths L characteristic of cardiac tissue, it is often the case that N exhibits no dependence on L. In particular, there is a critical fiber length L* such that, if L < L*, the convergence to steady-state is slowest at the x = 0 boundary. Moreover, we shall see that L* → infinity as the slope of the restitution curve increases to 1.
590 $a School code: 0066.
650 # 0 $a Mathematics. $3 184409
650 # 0 $a Biology, Animal Physiology. $3 227194
650 # 0 $a Engineering, Biomedical. $3 227004
690 $a 0405
690 $a 0433
690 $a 0541
710 0 # $a Duke University. $3 226880
773 0 # $g 66-06B. $t Dissertation Abstracts International
790 $a 0066
790 1 0 $a Schaeffer, David G., $e advisor
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://libsw.nuk.edu.tw:81/login?url=http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3179221 $z http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3179221