Abstract—A novel method of validation of the mathematical
model for batteries that power Medtronic’s Implantable
Cardioverter Defibrillators (ICDs) is presented. In a
conventional approach used in the past, the model has been
validated against data collected in controlled laboratory
conditions. To supplement this approach, we now validate the
model against ICD performance data reported from devices
used in the field for periods ranging from about five to seven
years. The key model output is ICD “charge time” – the time
required to charge a high voltage capacitor in preparation to
deliver shock to the heart. This validation is carried out for
five of Medtronic’s ICD designs and very close agreement is
obtained between model predictions and field data.
I. BACKGROUND
EDTRONIC has developed lithium primary batteries
with silver vanadium oxide cathodes as power sources
for implantable cardioverter defibrillators (ICD’s).[1] The
ICD effectively treats multiple disease states of the heart –
for example, when the heart beats slower than normal it
provides pacing with low energy pulses; when the heart
beats faster than normal it provides more frequent low
energy pulses. Most critically, the ICD treats ventricular
fibrillation. Also known as sudden cardiac death,
ventricular fibrillation is a generally fatal condition,
characterized by rapid, erratic contraction of the heart
resulting in little or no pumping of blood. Within seconds of
detecting ventricular fibrillation, the ICD delivers a high-
energy pulse (typically up to 35 J) to the heart to bring it
back to normal rhythm. To deliver this life-saving therapy,
the ICD battery charges a capacitor to the desired energy
level in as short a time as possible, and the capacitor is
subsequently discharged through the heart. Because prompt
therapy is desirable, the capacitor charge-time, typically in
the range of 5 to 15 s, is a key measure of device
performance.
Our group has earlier developed a mathematical model to
predict ICD charge-times over battery life.[1] The model
has been validated for all of Medtronic’s ICD battery
designs under rigorous laboratory test conditions (e.g.,
specific applied load and energy delivered during
pulsing).[1] In this work, we conduct an independent
Manuscript received June 19, 2009.
Medtronic Energy and Component Center, Brooklyn Center, MN 55311
USA (phone: 763-514-1071; fax: 763-514-1177; e-mail:
partha.m.gomadam@medtronic.com).
validation of the model by comparing its charge-time
predictions against data observed from ICDs functioning in
the field.
II. THE MODEL
The mathematical model developed for ICD batteries is
described in detail in Ref. [1]. The model predicts the
background voltage (V
b
), the DC resistance (R
DC
), and the
charge-time (T
charge
) as functions of delivered capacity (q
del
)
and time (t) since the device has been implanted. The
equations used to predict the background voltage and DC
resistance can be represented conceptually in the form of
transfer functions:
( )
b b del
V V q = (1)
and
( ) ,
DC DC del
R R q t = (2)
The dependence of the DC resistance, not just on capacity,
but also on time is an important feature that enables
accurate model predictions, especially in the latter part of
battery discharge.
Based on the quantities calculated above, the model
calculates charge-time over the life of the ICD:
( )
2
2
1
,
load DC
charge
b load
charge del
R E R
T
V R
T q t
= +
=
(3)
where E is the energy delivered by the battery during the
pulse and R
load
is the resistance of the load under pulse.
For specified therapy energy, therapy frequency and load
resistance, the model predicts charge-time as a function of
delivered capacity and the time of use. These quantities are
readily measurable under specified test conditions, when the
charge-time predictions have been validated against data for
all of Medtronic’s ICD battery designs. For an exemplary
design, Fig. 1 shows the close agreement between the
predicted and observed charge-times of several years of
Predicting Charge-Times of Implantable Cardioverter
Defibrillators
Parthasarathy M. Gomadam, Jason R. Brown, Erik R. Scott, and Craig L. Schmidt
M
3020
31st Annual International Conference of the IEEE EMBS
Minneapolis, Minnesota, USA, September 2-6, 2009
978-1-4244-3296-7/09/$25.00 ©2009 IEEE
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