Abstract—Timing of biventricular pacing devices employed
in cardiac resynchronization therapy (CRT) is a critical
determinant of efficacy of the procedure. Optimization is done
by maximizing function in terms of arterial pressure (BP) or
cardiac output (CO). However, BP and CO are also determined
by the hemodynamic load of the pulmonary and systemic
vasculature. This study aims to use a lumped parameter
circulatory model to assess the influence of the arterial load on
the atrio-ventricular (AV) and inter-ventricular (VV) delay for
optimal CRT performance.
The model consists of variable elastance components to
simulate both left and right ventricles as well as the
interventricular septum. The pulmonary and systemic
circulations are modeled by lumped parameter Windkessel
elements using resistors, inductors and capacitors to represent
vascular resistance, blood inertia and arterial and venous
compliance, including the coronary circulation. Optimal CRT
performance was determined by varying AV and VV delay and
the critical delay was obtained for the maximum value of CO.
The maximal (optimal) central systolic blood pressure (SBP)
was also used to assess the potential use of non-invasive
continuous pressure for CRT optimization
Model calculations were made for maximal (optimal) CO and
SBP with changes in systemic compliance (Cas) and peripheral
resistance (Ras). Simulations with the circulatory model
indicate that arterial loading parameters have an intrinsic effect
on the timing for optimal CRT performance, with a greater
relative impact on VV compared to that on AV delay. Load
parameter changes for SBP give similar results to using CO as
an optimizing parameter, although differences occur with
changes in Ras.
I. INTRODUCTION
Cardiac resynchronization therapy (CRT) is a device based
procedure using biventricular pacing in conditions of heart
failure associated with asynchronous contraction of left and
right ventricles. Setting of optimum atrio-ventricular (AV) and
inter-ventricular (VV) conduction times is often done using
echocardiography to maximize atrial inflow [1] and so
maximizing cardiac output, or using peripheral pulse measures
to maximize arterial pulse pressure [2-4]. However, even with
attempts at optimizing timing parameters, not all subjects
obtain benefits in terms of increased ejection fraction and
improved ventricular function from the different optimal delay
strategies [5].
* This work was supported in part by a grant from the Australian Research
Council (MB; ARC Discovery DP110101134) and by Macquarie University
Research Postgraduate Scholarship (KX)
K. Xu, M. Butlin and A.P. Avolio are with Australian School of Advanced
Medicine, Macquarie University, Sydney, NSW, AUSTRALIA. phone: +61
2 9812 3500; fax +61 2 9812 3600; e-mails: ke.xu1@students.mq.edu.au;
mark.butlin@mq.edu.au; alberto.avolio@mq.edu.au.
In addition to the optimum time delays for atrial and
ventricular filling and contraction to achieve maximal cardiac
output (CO), cardiac ejection is also influenced by the arterial
load from both the pulmonary and systemic vasculature. The
arterial load is determined by the steady component
comprising peripheral resistance, and a pulsatile component
related to the elastic properties of the large conduit arteries [5].
Hence, with a given set of AV and VV delay times optimized
for particular values of load parameters, CRT performance
would be altered with changes in either peripheral resistance
or arterial compliance or both. To investigate the relationship
of changes in load parameters with AV and VV delays to
achieve maximal CRT performance, a closed loop model of
the pulmonary and systemic circulation was constructed using
lumped parameter representation of the arterial load and
variable elastance for cardiac chambers and interventricular
septum with addition of the Frank-Starling law.
II. METHODS
A. Arterial Section of Circulatory Model
The arterial system in this simulation was constructed by
use of the classic 4 element Windkessel model with inductor
(Las, blood inertia) in series with characteristic impedance
(Zas, vascular resistance) (WK4s), in which the two
hemodynamic parameters as variables are systemic arterial
compliance (Cas) and systemic peripheral resistance (Ras)
(Fig. 2a). The contractile function of the atria, ventricle and
septum was simulated by variable capacitors in the electric
circuit using time-varying elastance characteristics [6].
Intrinsic relationships of the Frank-Starling mechanism
and VV delay associated with ventricular inotropy were also
simulated. This feedback was made by the addition of
functions that describe the relationships: (1) the increase in
venous return flow causes the elevation in maximum and
minimum ventricular contractility; (2) the VV delay resulting
in a lag for ventricular contraction (Fig. 1) is associated with
decreases in maximum ventricular contractility.
RV
+VV
AV sinus
node
LV
LV
-VV
RV
Figure 1. Diagram of AV and VV delay and ventricular contraction. A
positive VV delay indicates left ventricle (LV) contracts after the right
ventricle (RV).
Assessment of hemodynamic load components affecting optimization
of cardiac resynchronization therapy by lumped parameter model*
Ke Xu, Mark Butlin and Alberto P Avolio
34th Annual International Conference of the IEEE EMBS
San Diego, California USA, 28 August - 1 September, 2012
6661 978-1-4577-1787-1/12/$26.00 ©2012 IEEE