Biomedical Engineering Reference
In-Depth Information
epi
close
rv
close
Fig. 4.10.
Left:
First lead of the ECGs with
. Comparison between the
full model (dotted red line) and the reduced model (solid black line) with a POD basis gener-
ated with
(
τ
,
τ
)=(
90
,
120
)
epi
close
rv
close
rv
close
(
τ
,
ECGt
τ
)=(
80
,
80
)
.
Right:
First lead of the ECGs with
(
τ
,
C
m
,
A
m
,
τ
)=
in
10
−
3
(
. Comparison between the full model (dotted red line) and the reduced model
(black) with a POD basis generated with
0
.
8
,
,
200
,
120
)
rv
close
10
−
3
(
τ
in
,
C
m
,
A
m
,
τ
)=(
1
.
5
,
2
×
,
100
,
70
)
Fig. 4.11.
First leads of ECGs obtained for an initial stimulation in the apex. Comparison between
the full model (dotted red line) and the reduced model (black) with the POD basis obtained from a
simulation with an initial activation on the septum
4.6.3 Examples of POD simulations for several heart beats
We conclude this section with an example where POD seems to give promising
results. The problem consists in computing many heart beats and increasing pro-
gressively the heart rate. This kind of simulation allows to generate a curve known
as
the restitution curve
, which represents the action potential duration (APD) versus
the preceding diastolic interval (DI). For more details about the restitution curve and
its link with cardiac arrhythmia, we refer the reader to [54] for instance.
Fig. 4.12 shows the ECGs during eleven beats with an increasing heart rate, ob-
tained with the full- and the reduced-order models. The POD basis is only based
