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RESEARCH ARTICLE Open Access
Magnesium sulphate for fetal neuroprotection: a
cost-effectiveness analysis
Celeste D Bickford1*
, Laura A Magee2
, Craig Mitton1
, Marie Kruse3
, Anne R Synnes4
, Diane Sawchuck5
,
Melanie Basso6
, Vyta M Senikas7
, Peter von Dadelszen5
and on behalf of the MAG-CP Working Group
Abstract
Background: The aim of this study was to assess the cost-effectiveness of administering magnesium sulphate to
patients in whom preterm birth at < 32+0
weeks gestation is either imminent or threatened for the purpose of fetal
neuroprotection.
Methods: Multiple decision tree models and probabilistic sensitivity analyses were used to compare the
administration of magnesium sulphate with the alternative of no treatment. Two separate cost perspectives were
utilized in this series of analyses: a health system and a societal perspective. In addition, two separate measures of
effectiveness were utilized: cases of cerebral palsy (CP) averted and quality-adjusted life years (QALYs).
Results: From a health system and a societal perspective, respectively, a savings of $2,242 and $112,602 is obtained
for each QALY gained and a savings of $30,942 and $1,554,198 is obtained for each case of CP averted when
magnesium sulphate is administered to patients in whom preterm birth is imminent. From a health system
perspective and a societal perspective, respectively, a cost of $2,083 is incurred and a savings of $108,277 is
obtained for each QALY gained and a cost of $28,755 is incurred and a savings of $1,494,500 is obtained for each
case of CP averted when magnesium sulphate is administered to patients in whom preterm birth is threatened.
Conclusions: Administration of magnesium sulphate to patients in whom preterm birth is imminent is a dominant
(i.e. cost-effective) strategy, no matter what cost perspective or measure of effectiveness is used. Administration
of magnesium sulphate to patients in whom preterm birth is threatened is a dominant strategy from a societal
perspective and is very likely to be cost-effective from a health system perspective.
Keywords: Magnesium sulphate, Fetal neuroprotection, Preterm birth, Cerebral palsy, Cost-effectiveness
Background
Cerebral palsy (CP) is associated with substantial health-
care and societal costs, as well as a significant reduction in
health-related quality of life for those with moderate to
severe levels of disability [1-3]. It is estimated that preterm
infants constitute up to 32% of all cases of CP, with the
overall prevalence of CP being approximately 2 cases per
1,000 births [4]. Antenatal administration of magnesium
sulphate for fetal neuroprotection has been shown to re-
duce the incidence of CP among preterm infants [5-11].
These findings have subsequently led to the publication
of clinical practice guidelines on the use of magnesium
sulphate for fetal neuroprotection in Canada and Australia,
and endorsement of the use of magnesium sulphate for
fetal neuroprotection by the American College of Obstetri-
cians and Gynaecologists [12-14].
The main purpose of this paper is to present the re-
sults of a cost-effectiveness analysis on the use of mag-
nesium sulphate for fetal neuroprotection. However, it is
also the first paper to report the per-patient cost to ad-
minister magnesium sulphate antenatally specifically for
the purpose of fetal neuroprotection and the first to
present previously unpublished data on the lifetime cost
of CP stratified by level of physical disability.
* Correspondence: celesteb@interchange.ubc.ca
1
School of Population and Public Health, Faculty of Medicine, University of
British Columbia, Vancouver, Canada
Full list of author information is available at the end of the article
© 2013 Bickford et al.; licensee BioMed Central Ltd. This is an open access article distributed under the terms of the Creative
Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and
reproduction in any medium, provided the original work is properly cited.
Bickford et al. BMC Health Services Research 2013, 13:527
http://www.biomedcentral.com/1472-6963/13/527
Methods
Model structure
Administration of magnesium sulphate was compared only
with no treatment, as there are currently no other ante-
natal therapies used to prevent CP among preterm infants.
The decision tree shown in Figure 1 was used to model the
cost-effectiveness of administering magnesium sulphate to
patients in whom preterm birth at < 32+0
weeks gestation
is imminent (i.e. certain to occur within 24 hours). A separ-
ate decision tree (Figure 2) was constructed to model the
cost-effectiveness of administering magnesium sulphate to
patients in whom preterm birth at < 32+0
weeks gestation
is threatened (i.e. could occur within 24 hours, but is
not certain to), as there is no infallible way to identify all
patients who will deliver within a given time period. Un-
published data gathered through the Canadian Perinatal
Network suggest that only 24.4% of patients who present
with indications such as preterm labour, antepartum
hemorrhage, or premature prelabour rupture of the mem-
branes deliver within 24 hours of admission to hospital
[15]. As such, clinicians are likely to err by “overusing”
magnesium sulphate among patients who present with
threatened preterm birth. The decision tree shown in
Figure 2 took into account: (i) that additional nursing
costs would be incurred for patients in whom preterm
birth at < 32+0
weeks gestation is threatened, as they would
not otherwise need the one-on-one care required for ad-
ministration of magnesium sulphate; (ii) that some would
ultimately go on to deliver at more than 32+0
weeks gesta-
tion; and (iii) that some would be eligible to receive a sec-
ond course of treatment with magnesium sulphate if they
failed to deliver after the first course of treatment. It was
assumed that re-treatment would only occur if there was a
high degree of certainty that delivery was imminent and
that all patients who received a second course of treat-
ment would deliver at < 32+0
weeks gestation.
Maternal outcomes were excluded from the models, as
there are only a few for which statistically significant dif-
ferences have been found between women who had mag-
nesium sulphate administered antenatally and those who
did not [5-7]. These include transient hypotension, tachy-
cardia, flushing, and nausea, which can all be reversed by
discontinuing infusion of the drug. Note that the impact
on the patient’s overall health utility is relatively small for
each of these outcomes and the time period spent in each
state of reduced health utility is brief, thereby making any
difference in the quality-adjusted life years (QALYs) be-
tween the two groups negligible. The calculation of this
difference would therefore not contribute meaningfully to
this analysis.
CP was the only neonatal outcome included in the
models, as it is the only outcome for which a statistically
significant difference has been found between neonates
who were antenatally exposed to magnesium sulphate for
the purpose of fetal neuroprotection and those who were
not [5-7]. CP has been stratified based on level of physical
disability for the present analysis, with mild corresponding
to levels I and II of the Gross Motor Function Classification
System (GMFCS), moderate corresponding to level III, and
severe corresponding to levels IV and V [16].
Probabilities
The estimated probabilities for CP and each level of phys-
ical disability are shown in Table 1. Data from four RCTs
were pooled to obtain these probabilities (Table 2) [8-11].
For the threatened preterm birth model (Figure 2), the
probability of delivery within 24 hours of initiation of a sin-
gle treatment with magnesium sulphate was estimated to
Figure 1 Decision tree for the imminent preterm birth models. The decision tree used to compare standard care (no treatment) with
administration of magnesium sulphate to patients in whom preterm birth at < 32+0
weeks gestation is imminent.
Bickford et al. BMC Health Services Research 2013, 13:527 Page 2 of 12
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be 0.2442 and the probability of re-treatment (given no de-
livery after an initial course of treatment) was estimated to
be 0.6041 based on previously unpublished data from the
Canadian Perinatal Network [15].
Life expectancies
Life expectancies at birth were estimated using both
published median survival times and expert opinion
(Table 3) [17,18]. It has been assumed that those with
mild CP have a life expectancy at birth equal to that of
the general population in Canada [19].
Health-related quality of life
The Health Utilities Index Mark 3 (HUI-3) is a validated,
multi-attribute health classification system used to measure
health-related quality of life [2,3]. HUI-3 utility scores are
generated using scores for eight health attributes (vision,
hearing, speech, ambulation, dexterity, emotion, cognition,
and pain) [20]. Data from two studies were combined using
weighted averages to obtain HUI-3 utility scores for indi-
viduals with CP (Table 4) [2,3]. Note that utility values
were estimated using expert opinion for the age ranges for
which no data were available. HUI-3 utility scores for
individuals in the general population are shown in
Table 5 [21,22].
Cost to administer magnesium sulphate
All costs are presented in 2011 Canadian dollars [$1CAN =
$1US = £0.62GBP]. The average cost (per 10,000 patients)
to administer magnesium sulphate to patients in whom
preterm birth at < 32+0
weeks gestation is imminent was es-
timated to be $57.08 per patient. Variation exists in dosing
regimens, therefore this estimate assumed an adminis-
tration protocol similar to those outlined in the Canadian
Table 1 Estimated probability of CP among children born
at < 32+0
weeks gestation and estimated probability of
each level of physical disability given a diagnosis of CP
MgSO4 No MgSO4 p-value
CP 0.0524 0.0736 0.0144
Mild (GMFCS level I/II) 0.6364 0.6034 0.0552
Moderate (GMFCS level III) 0.2597 0.2069 0.0004
Severe (GMFCS level IV/V) 0.1039 0.1897 0.0001
Figure 2 Decision tree for the threatened preterm birth models. The decision tree used to compare standard care (no treatment) with
administration of magnesium sulphate to patients in whom preterm birth at < 32+0
weeks gestation is threatened.
Bickford et al. BMC Health Services Research 2013, 13:527 Page 3 of 12
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and Australian clinical practice guidelines (i.e. a 4 gram
intravenous loading dose followed by a 1 gram per hour
maintenance infusion for a maximum of 24 hours) and
took into consideration (1) the drug acquisition cost, (2)
any laboratory costs incurred, and (3) the incremental cost
of treating any adverse maternal or neonatal events associ-
ated with administering the drug [12,13]. No incremental
nursing costs were added for monitoring patients in whom
preterm birth at < 32+0
weeks gestation is imminent, as
they would already be receiving one-on-one nursing care
in a delivery suite.
A per patient drug acquisition cost of $34.35 was ob-
tained from the pharmacy at an academic tertiary medical
center in Vancouver, Canada. This included a pharmacy
cost of $22.14 for one 1 liter bag of pre-mixed magnesium
sulphate at a concentration of 40 mg/mL in normal saline
(includes the drug and mixing costs), a cost of $1.37 each
for three 1 liter bags of normal saline, a cost of $5.37 for
one set of IV tubing, and a cost of $2.73 for one IV can-
nula (M. Tofan, Dipl Pharm, written communication,
November 2011). Pre-mixing of the magnesium sulphate
infusion was preferred to minimize the risk of dosage er-
rors. It was assumed that each patient would already have
an intravenous drip in place and that pumps would be
readily available on the delivery unit.
Laboratory costs would only be incurred if there were
evidence of maternal toxicity. It is anticipated that a max-
imum of 10% of patients would have one magnesium
sulphate serum level measurement during the administra-
tion period, based on the proportion of women who dis-
continued infusion of the drug in the Magpie trial and who
would have had serum levels measured if treated in a high
income country [23]. The estimated cost for this measure-
ment is $19.73 and is comprised of a $7.00 blood collection
fee, a $5.00 handling fee, and a $7.73 laboratory fee (D.
Sawchuck, PhD, written communication, August 2011).
It was assumed that the unlikely event of maternal re-
spiratory depression would occur in a maximum 0.6% of
patients, based on data from the Magpie trial [23]. It
was further assumed that all of these patients would
need to receive calcium gluconate and be intubated and
ventilated for 24 hours. The estimated cost for this treat-
ment is $2,884.30 and is comprised of a cost of $4.30 for
a one gram dose of calcium gluconate (in a ten milliliter
single use vial), a $280.00 airway management fee by an
anesthesiologist, and $2,600.00 for 24 hours of critical
care [24].
Excessive exposure to magnesium sulphate may result
in neonatal hypotonia and respiratory depression [25,26].
It was assumed that the unlikely event of neonatal respira-
tory depression would occur in a maximum 0.6% of pa-
tients, based on the need for bag-mask ventilation in a
sub-analysis of the BEAM trial [27]. This would require
intubation and the need for level III NICU care for a
period of 24 hours. To account for the maximum possible
incremental cost, it was assumed that all neonates born
at < 32+0
weeks gestation would otherwise require level II
NICU care and would not be intubated. The estimated
cost associated with this treatment is $576.03 and is com-
prised of an incremental cost of $126.03 for physician bill-
ing fees and an incremental cost of $450.00 for 24 hours
of critical care in a level III NICU [28].
The average cost (per 10,000 patients) to administer
magnesium sulphate to patients in whom preterm birth
at < 32+0
weeks gestation is threatened was estimated to
Table 3 Estimated life expectancies at birth for individuals with CP stratified by level of physical disability, as well as
maximum and minimum values used in the sensitivity analyses
Estimated life expectancy (years) Min Max
Mild (GMFCS level I/II) 81 71 91
Moderate (GMFCS level III) 66 56 76
Severe (GMFCS level IV/V) 25 20 30
Table 2 Data used to calculate the probability of CP
MgSO4 No MgSO4 Source
Marrett 352 336 8
CP 22 30
Mittendorf 30 29 9
CP 3 0
Crowther 533 513 10
CP 36 42
Mild (GMFCS level I/II) 21 21 a
Moderate (GMFCS level III) 12 15 a
Severe (GMFCS level IV/V) 3 6 a
Rouse 1030 1107 11
CP 41 74
Mild (GMFCS level I/II) 28 49 b
Moderate (GMFCS level III) 8 9 b
Severe (GMFCS level IV/V) 5 16 b
Total number of patients assessed and number with each outcome in each of
the four trials. Note that only data on patients to whom magnesium sulphate
was administered for the specific purpose of fetal neuroprotection was
included in the present analyses.
a
Assumed with reference to the study protocol and detailed descriptions of
characteristics for each GMFCS level for children under the age of four.
b
D. Rouse, MD, written communication, March 2011.
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be $897.08 per patient. It was assumed that patients in
whom preterm birth at < 32+0
weeks gestation is threatened
would not already be receiving the one-on-one nursing
care required for administration of magnesium sulphate.
Therefore, the estimated cost to administer magnesium
sulphate to this population included both the $57.08
administration cost outlined above and $840.00 in nursing
costs to account for a 24 hour period of one-on-one nurs-
ing care (D. Sawchuck, PhD, written communication,
August 2011).
Lifetime cost of cerebral palsy
The lifetime costs of CP (Table 6) were estimated using
the life expectancies shown in Table 3 and the health
care, productivity, and social annual attributable cost in-
puts shown in Table 7. Detailed information on the
methodology used to determine these annual attribut-
able cost inputs has been outlined in a previous publica-
tion [1]. The health care costs consisted of all primary
health care, hospital, and pharmaceutical costs. The
productivity costs consisted of all costs associated with
lost labour market productivity for adults with CP. The
social costs consisted of all costs associated with special-
ized education, specialized housing, and lost labour mar-
ket productivity for primary care providers of children
with CP. Health care and productivity costs were quanti-
fied using patient-level data obtained from a Danish
population-based register, while social costs were esti-
mated using a combination of register data, previously
published literature, and expert opinion.
All costs were originally determined in 2006 Danish
Kroner (DKK). These values were converted to Canadian
dollars (CAD) using the average Bank of Canada nominal
exchange rate between January 1, 2002 and January 1,
2011 (1 CAD = 4.9494 DKK). Inflation was then adjusted
for using Canadian Health and Personal Care Consumer
Price Index (CPI) values for 2006 and 2011, which were
105.9 and 117.1 respectively. The formula used for cur-
rency conversion was: (DKK2006)*(1.0000 CAD)/(4.9494
DKK) = (CAD2006). The formula used to adjust for infla-
tion was: (CAD2006)*(CPI2011)/(CPI2006) = (CAD2011).
Analysis
The cost-effectiveness of antenatal administration of mag-
nesium sulphate for fetal neuroprotection among preterm
deliveries at < 32+0
weeks gestation as compared to no
treatment were analysed from both a health system per-
spective and a societal perspective. Two measures of ef-
fectiveness were explored in separate analyses: (1) cases of
CP averted and (2) QALYs. QALYs are a measure of effect-
iveness that take into account both the length of life and
the level of health-related quality of life associated with a
particular outcome [29,30]. Lifetime costs were used in all
analyses.
Incremental cost-effectiveness ratios (ICERs) were
calculated in the base-case analyses. ICERs give the add-
itional cost per unit of effectiveness gained when one
treatment alternative is compared to another [29,30].
Probabilistic sensitivity analyses were conducted using
Table 4 Mean HUI-3 utility scores for individuals with CP stratified by level of physical disability
Age
(years)
Mild Moderate Severe Source
(GMFCS level I/II) (GMFCS level III) (GMFCS level IV/V)
Mean SE Mean SE Mean SE
0-4 0.79 0.24 0.66 0.25 0.47 0.22 –
5-12 0.72 0.26 0.54 0.27 0.24 0.22 –
13-20 0.66 0.28 0.41 0.29 0.01 0.23 2,3
21-22 0.61 0.32 0.47 0.28 −0.01 0.22 –
23-32 0.57 0.35 0.53 0.27 −0.04 0.21 3
> 32 0.57 0.35 0.53 0.27 −0.04 0.21 –
Table 5 Mean HUI-3 utility scores for the general
population
Age (years) General population Source
Mean SE
0-12 0.92 0.11 –
13-15 0.90 0.15 21
16-37 0.85 0.18 21
38-54 0.83 0.01 22
55-64 0.77 0.02 22
65-74 0.80 0.01 22
75-89 0.75 0.01 22
Table 6 The undiscounted lifetime cost of CP stratified by
level of physical disability
Health system
perspective
Societal
perspective
Mild (GMFCS level I/II) 33,524 3,581,722
Moderate (GMFCS level III) 70,923 4,500,094
Severe (GMFCS level IV/V) 61,378 2,208,153
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Monte Carlo simulation, producing incremental cost-
effectiveness plots (ICEPs) and cost-effectiveness ac-
ceptability curves (CEACs). ICEPs illustrate the ICERs
generated when model inputs are simultaneously varied
in a series of analyses (e.g. 10,000 simulations). CEACs
illustrate the probability of a treatment option being
cost-effective across various willingness-to-pay values.
Each willingness-to-pay value represents the maximum
cost that a decision-maker is willing to pay for an add-
itional unit of effectiveness [29,30].
The results of the Monte Carlo analyses are based on
10,000 simulations. Beta and Dirichlet distributions were
used for probabilities, gamma distributions were used for
costs, beta distributions were used for utility weights, and
triangular distributions were used for life expectancies
[29]. The standard errors for all costs were estimated to be
20% of their point estimates, to account for any uncer-
tainty or regional variation in these values. The standard
errors for all utility weights were taken from the literature
(Tables 4 and 5). Minimum and maximum values for life
expectancy estimates for individuals with CP were deter-
mined using expert opinion (Table 3). The life expectancy
for the general population was not varied, as it was calcu-
lated using population-based data. In accordance with the
World Health Organization’s guide to cost-effectiveness
analyses, costs and QALYs were discounted at 3% annually
for the base case analyses, but further sensitivity analyses
were also conducted using a 6% annual discount rate for
costs and a 0% annual discount rate for QALYs [30,31].
All analyses were carried out using TreeAge Pro 2012
(TreeAge Software, Inc, Williamstown, MA).
Results
Imminent preterm birth
A treatment option that is less costly and more effective
than its alternative is always considered to be cost-effective
and is referred to as a dominant strategy [30]. The point
estimates listed in Tables 8 and 9 indicate that administra-
tion of magnesium sulphate is a dominant strategy com-
pared to the alternative of no treatment no matter what
measure of effectiveness or cost perspective is used. The
results generated from a health system perspective indicate
that a savings of $2,242 is obtained for each QALY gained
and a savings of $30,942 is obtained for each case of CP
averted. The results generated from a societal perspective
indicate that a savings of $112,602 is obtained for each
QALY gained and a savings of $1,554,198 is obtained for
each case of CP averted.
The ICEPs generated through the probabilistic sensitiv-
ity analysis illustrate that when all model inputs are varied,
the majority of the computed ICERs fall into the quadrant
of the incremental cost-effectiveness plane which indi-
cates that administering magnesium sulphate is a dom-
inant strategy compared to the alternative of no treatment
(Figure 3). The CEACs indicate that the probability of ad-
ministration of magnesium sulphate being cost-effective is
over 99% for all willingness-to-pay values up to $100,000,
no matter what measure of effectiveness or cost perspec-
tive is used (Figure 4).
Threatened preterm birth
The point estimates listed in Tables 10 and 11 indicate
that administration of magnesium sulphate is a domin-
ant strategy compared to the alternative of no treatment
only when a societal perspective is used. When a health
system perspective is used, it is both more effective and
more costly than the alternative of no treatment. The re-
sults generated from a societal perspective indicate that
a savings of $108,277 is obtained for each QALY gained
and a savings of $1,494,500 is obtained for each case of
CP averted. The results generated from a health system
perspective indicate that a cost of $2,083 is incurred for
Table 7 The annual attributable health care, productivity, and social costs for children and adults with CP stratified by
level of physical disability
Children ≤18 years Adults > 18 years
Health Productivity Social Total Health Productivity Social Total
Mild (GMFCS level I/II) 1,279 0 51,146 52,425 146 16,991 23,905 41,042
Moderate (GMFCS level III) 2,895 0 77,179 80,074 331 25,653 36,072 62,056
Severe (GMFCS level IV/V) 3,100 0 87,278 90,378 355 28,992 40,792 70,139
Table 8 ICERs calculated for the imminent preterm birth models using cases of CP averted as the measure of
effectiveness
Analysis Method Cost Δ cost Cases w/o CP Δ cases w/o CP ICER Status
Health system perspective MgSO4 $1,672 -$653 0.95 0.02 -$30,942 Dominant
No MgSO4 $2,326 0.93
Societal perspective MgSO4 $85,822 -$32,808 0.95 0.02 -$1,554,198 Dominant
No MgSO4 $118,630 0.93
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each QALY gained and a cost of $28,755 is incurred for
each case of CP averted.
The ICEPs generated through the probabilistic sensitiv-
ity analysis illustrate that when all model inputs are varied,
the majority of the ICERs computed from a societal per-
spective fall into the quadrant of the incremental cost-
effectiveness plane which indicates that administration of
magnesium sulphate is a dominant strategy compared to
the alternative of no treatment. Conversely, the majority
of the ICERs computed from a health system perspective
fall into the quadrant of the incremental cost-effectiveness
plane which indicates that that administration of magne-
sium sulphate is both more costly and more effective than
the alternative of no treatment (Figure 5). The CEACs
generated using a societal perspective indicate that the
probability of administration of magnesium sulphate being
cost-effective is over 99% for all willingness-to-pay values
up to $100,000, no matter what measure of effectiveness
is used. The CEACs generated using a health system
perspective indicate much lower probabilities of cost-
effectiveness (Figure 6).
Discussion
Main findings
Administration of magnesium sulphate to patients in
whom preterm birth at < 32+0
weeks gestation is imminent
is a dominant (i.e. cost-effective) strategy compared to the
alternative of no treatment, no matter what measure of
Table 9 ICERs calculated for the imminent preterm birth models using QALYs as the measure of effectiveness
Analysis Method Cost Δ cost QALYs Δ QALYs ICER Status
Health system perspective MgSO4 $1,672 -$653 26.6 0.3 -$2,242 Dominant
No MgSO4 $2,326 26.3
Societal perspective MgSO4 $85,822 -$32,808 26.6 0.3 -$112,602 Dominant
No MgSO4 $118,630 26.3
Societal Perspective, QALYs
Health System Perspective, Cases of CP Averted Health System Perspective, QALYs
Societal Perspective, Cases of CP Averted
Figure 3 ICEPs for the imminent preterm birth models. The black ellipses represent 95% confidence intervals.
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effectiveness or cost perspective is used. Administration of
magnesium sulphate to patients in whom preterm birth
at < 32+0
weeks gestation is threatened is a dominant strat-
egy compared to the alternative of no treatment from only
a societal perspective. When a health system perspective is
used its cost-effectiveness is dependent on the decision-
makers’ willingness-to-pay for an additional QALY or case
of CP averted. The National Institute for Health and
Clinical Excellence suggests that society’s willingness-to-
pay threshold for new health technologies is approximately
$30,000/QALY, making anything less costly a cost-effective
option from the viewpoint of society as a whole [32].
Administration of magnesium sulphate to patients in
whom preterm birth at < 32+0
weeks gestation is threatened
has a very high probability of being cost-effective at all
willingness-to-pay values over $10,000/QALY, no matter
what cost perspective is used. Therefore, it is very likely to
be a cost-effective option from the viewpoint of society as a
whole even though it is not a dominant strategy from all
cost perspectives.
Health System Perspective, Cases of CP Averted
Societal Perspective, QALYs
Health System Perspective, QALYs
Societal Perspective, Cases of CP Averted
Figure 4 CEACs for the imminent preterm birth models. The blue line depicts the probability of magnesium sulphate being cost-effective
across all willingness-to-pay values up to $100,000. The red line depicts the probability of the alternative (no treatment) being cost effective across
all willingness-to-pay values up to $100,000.
Table 10 ICERs calculated for the threatened preterm birth models using cases of CP averted as the measure of
effectiveness
Analysis Method Cost Δ cost Cases w/o CP Δ cases w/o CP ICER Status
Health system perspective MgSO4 $2,055 $425 0.96 0.01 $28,755 a
No MgSO4 $1,630 0.95
Societal perspective MgSO4 $61,028 -$22,109 0.96 0.01 -$1,494,500 Dominant
No MgSO4 $83,137 0.95
a
Cost-effectiveness is dependent on the willingness-to-pay threshold of the decision-maker.
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Strengths and limitations
This is the first study in which the cost to administer mag-
nesium sulphate specifically for fetal neuroprotection has
been estimated (previous studies, including the Cahill
et al. cost-effectiveness analysis, have only reported/uti-
lized the cost to administer magnesium sulphate for toco-
lysis or preeclampsia prophylaxis). It is also the first study
to present detailed data on the lifetime costs of CP by level
of physical disability. The use of these data in the present
analysis is important because the extent of care required
for individuals with different levels of disability varies con-
siderably. It is also important because the lifetime cost of
CP is a key driver of the cost-effectiveness of administra-
tion of magnesium sulphate.
The analyses included models for both imminent and
threatened preterm birth because there is no infallible
way to predict which patients will deliver imminently.
As such, clinicians are likely to err by “overusing” mag-
nesium sulphate among patients who present with what
appears to be imminent preterm birth, but is in fact
threatened preterm birth. The threatened preterm birth
model included important information on additional
resources required to administer magnesium sulphate
to those who would be likely to receive it in clinical
Societal Perspective, QALYsSocietal Perspective, Cases of CP Averted
Health System Perspective, Cases of CP Averted Health System Perspective, QALYs
Figure 5 ICEPs for the threatened preterm birth models. The black ellipses represent 95% confidence intervals.
Table 11 ICERs calculated for the threatened preterm birth models using QALYs as the measure of effectiveness
Analysis Method Cost Δ cost QALYs Δ QALYs ICER Status
Health system perspective MgSO4 $2,055 $425 26.7 0.2 $2,083 a
No MgSO4 $1,630 26.5
Societal perspective MgSO4 $61,028 -$22,109 26.7 0.2 -$108,277 Dominant
No MgSO4 $83,137 26.5
a
Cost-effectiveness is dependent on the willingness-to-pay threshold of the decision-maker.
Bickford et al. BMC Health Services Research 2013, 13:527 Page 9 of 12
http://www.biomedcentral.com/1472-6963/13/527
practice. However, note that the assumption that a sec-
ond course of treatment with magnesium sulphate
would occur only in the case of imminent preterm birth
may not always reflect clinical practice.
The estimation of model inputs is a common limita-
tion of decision analytic models. For the present analysis,
many of the utility weights for individuals with CP were
estimated due to a paucity of published information on
the health-related quality of life of this population. Un-
certainty also remains around the probability inputs,
given that they were obtained using aggregated data ra-
ther than data from a single randomized controlled trial
[33]. In this analysis the impact that such estimates have
on the precision of the model has been minimized
through the use of a robust probabilistic sensitivity ana-
lysis, which allows the effect of uncertainty across all the
parameters to be considered simultaneously.
Another common limitation of decision analytic models
is the uncertainty that surrounds the structure of the
model itself. For example, it should be noted that the clas-
sification of CP as being mild, moderate, or severe requires
broad generalizations and that this is only one of many
classification systems that could have been utilized. In
addition, perinatal death was excluded from the model, as
the authors feel that there is not enough evidence at this
time to indicate whether there is a difference in perinatal
death between the two groups or what the magnitude of
this difference may be. However, it should be noted that
the assumption of no effect on mortality has been recently
disputed in a meta-analysis of observational studies, which
found that the use of magnesium sulphate was associated
with a decrease in both CP and perinatal mortality [34].
With respect to these findings, if a randomized controlled
trial were ever to show that antenatal administration of
magnesium sulphate decreased the probability of peri-
natal death, then the cost-effectiveness of administering
magnesium sulphate for fetal neuroprotection would only
be improved.
Health System Perspective, Cases of CP Averted Health System Perspective, QALYs
Societal Perspective, Cases of CP Averted Societal Perspective, QALYs
Figure 6 CEACs for the threatened preterm birth models. The blue line depicts the probability of magnesium sulphate being cost-effective
across all willingness-to-pay values up to $100,000. The red line depicts the probability of the alternative (no treatment) being cost effective across
all willingness-to-pay values up to $100,000.
Bickford et al. BMC Health Services Research 2013, 13:527 Page 10 of 12
http://www.biomedcentral.com/1472-6963/13/527
Comparison to other studies
One other cost-effectiveness analysis on the use of magne-
sium sulphate for fetal neuroprotection has been identified
[35]. The results obtained in this study are consistent with
the findings of our analysis in that administration of mag-
nesium sulphate for fetal neuroprotection was found to be
less costly and more effective than the alternative of no
treatment from a societal perspective. However, our prob-
abilistic sensitivity analysis produced much higher prob-
abilities of magnesium sulphate being cost-effective. An
explanation for this difference is that the cost of CP used
in the Cahill et al. study was likely underestimated. They
did not take into account the severity of CP and their esti-
mate of the lifetime cost of CP was taken from a single
study, whereas our analysis used previously unpublished,
population-based data on the lifetime cost of CP stratified
by level of physical disability. Furthermore, the life expect-
ancies and utility values utilized in their analysis were likely
overestimated. We have therefore built on the Cahill et al.
study by inserting more precise estimates into our model,
in addition to using several cost perspectives and measures
of effectiveness and investigating the cost-effectiveness of
imminent and threatened preterm birth separately.
Conclusions
Administration of magnesium sulphate to patients in
whom preterm birth is imminent is a dominant (i.e. cost-
effective) strategy, no matter what measure of effectiveness
or cost perspective is used. Administration of magnesium
sulphate to patients in whom preterm birth is threatened
is a dominant strategy from a societal perspective and is
very likely to be cost-effective from a health system per-
spective. Clinicians and administrators should interpret
the findings of this study as providing reassurance that if a
diagnosis of imminent preterm birth at < 32+0
weeks gesta-
tion is made and magnesium sulphate is administered, but
the patient does not deliver, this “overuse” of magnesium
sulphate is still likely to have been cost-effective.
Competing interests
The authors declare that they have no competing interests.
Authors’ contributions
CB contributed to the literature review, study design, and analysis. CB drafted
the first version of the manuscript and led the submission process. LM
initiated the collaborative project, as well as contributing to the study design
and analysis and obtaining costing data. CM, MK, AS, DS, MB, VS, and PvD
contributed to the study design and analysis and obtained costing data. All
authors contributed to the interpretation of the study findings and the
revision and approval of the final manuscript.
Acknowledgements
We are grateful to the Danish Cerebral Palsy Register for providing us with
information on the lifetime costs of CP, Steven Weiner and Dwight Rouse for
providing us with previously unpublished data from the BEAM trial, and Lisa
Masucci and Mohsen Sadatsafavi for their assistance with the model
development and analysis. The Canadian Institutes of Health Research
provided funding for the MAG-CP (magnesium sulphate for fetal
neuroprotection) project, of which this analysis is a component.
The MAG-CP (Magnesium sulphate for fetal neuroprotection of the preterm
infant) Working Group consists of DA DeSilva, LA Magee, and AR Synnes.
Author details
1
School of Population and Public Health, Faculty of Medicine, University of
British Columbia, Vancouver, Canada. 2
Department of Medicine, Division of
Internal Medicine, University of British Columbia, Vancouver, Canada. 3
Danish
Institute for Health Services Research, Copenhagen, Denmark. 4
Department
of Pediatrics, Division of Neonatology, Children’s & Women’s Health Centre
of British Columbia, Vancouver, Canada. 5
Department of Obstetrics and
Gynecology, Division of Maternal Fetal Medicine, University of British
Columbia, Vancouver, Canada. 6
Children’s & Women’s Health Centre of British
Columbia, Perinatal Health Program, Vancouver, Canada. 7
Faculty of
Medicine, McGill University, Montreal, Canada.
Received: 10 May 2013 Accepted: 5 December 2013
Published: 19 December 2013
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doi:10.1186/1472-6963-13-527
Cite this article as: Bickford et al.: Magnesium sulphate for fetal
neuroprotection: a cost-effectiveness analysis. BMC Health Services Re-
search 2013 13:527.
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1472 6963-13-527

  • 1. RESEARCH ARTICLE Open Access Magnesium sulphate for fetal neuroprotection: a cost-effectiveness analysis Celeste D Bickford1* , Laura A Magee2 , Craig Mitton1 , Marie Kruse3 , Anne R Synnes4 , Diane Sawchuck5 , Melanie Basso6 , Vyta M Senikas7 , Peter von Dadelszen5 and on behalf of the MAG-CP Working Group Abstract Background: The aim of this study was to assess the cost-effectiveness of administering magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is either imminent or threatened for the purpose of fetal neuroprotection. Methods: Multiple decision tree models and probabilistic sensitivity analyses were used to compare the administration of magnesium sulphate with the alternative of no treatment. Two separate cost perspectives were utilized in this series of analyses: a health system and a societal perspective. In addition, two separate measures of effectiveness were utilized: cases of cerebral palsy (CP) averted and quality-adjusted life years (QALYs). Results: From a health system and a societal perspective, respectively, a savings of $2,242 and $112,602 is obtained for each QALY gained and a savings of $30,942 and $1,554,198 is obtained for each case of CP averted when magnesium sulphate is administered to patients in whom preterm birth is imminent. From a health system perspective and a societal perspective, respectively, a cost of $2,083 is incurred and a savings of $108,277 is obtained for each QALY gained and a cost of $28,755 is incurred and a savings of $1,494,500 is obtained for each case of CP averted when magnesium sulphate is administered to patients in whom preterm birth is threatened. Conclusions: Administration of magnesium sulphate to patients in whom preterm birth is imminent is a dominant (i.e. cost-effective) strategy, no matter what cost perspective or measure of effectiveness is used. Administration of magnesium sulphate to patients in whom preterm birth is threatened is a dominant strategy from a societal perspective and is very likely to be cost-effective from a health system perspective. Keywords: Magnesium sulphate, Fetal neuroprotection, Preterm birth, Cerebral palsy, Cost-effectiveness Background Cerebral palsy (CP) is associated with substantial health- care and societal costs, as well as a significant reduction in health-related quality of life for those with moderate to severe levels of disability [1-3]. It is estimated that preterm infants constitute up to 32% of all cases of CP, with the overall prevalence of CP being approximately 2 cases per 1,000 births [4]. Antenatal administration of magnesium sulphate for fetal neuroprotection has been shown to re- duce the incidence of CP among preterm infants [5-11]. These findings have subsequently led to the publication of clinical practice guidelines on the use of magnesium sulphate for fetal neuroprotection in Canada and Australia, and endorsement of the use of magnesium sulphate for fetal neuroprotection by the American College of Obstetri- cians and Gynaecologists [12-14]. The main purpose of this paper is to present the re- sults of a cost-effectiveness analysis on the use of mag- nesium sulphate for fetal neuroprotection. However, it is also the first paper to report the per-patient cost to ad- minister magnesium sulphate antenatally specifically for the purpose of fetal neuroprotection and the first to present previously unpublished data on the lifetime cost of CP stratified by level of physical disability. * Correspondence: celesteb@interchange.ubc.ca 1 School of Population and Public Health, Faculty of Medicine, University of British Columbia, Vancouver, Canada Full list of author information is available at the end of the article © 2013 Bickford et al.; licensee BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Bickford et al. BMC Health Services Research 2013, 13:527 http://www.biomedcentral.com/1472-6963/13/527
  • 2. Methods Model structure Administration of magnesium sulphate was compared only with no treatment, as there are currently no other ante- natal therapies used to prevent CP among preterm infants. The decision tree shown in Figure 1 was used to model the cost-effectiveness of administering magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is imminent (i.e. certain to occur within 24 hours). A separ- ate decision tree (Figure 2) was constructed to model the cost-effectiveness of administering magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is threatened (i.e. could occur within 24 hours, but is not certain to), as there is no infallible way to identify all patients who will deliver within a given time period. Un- published data gathered through the Canadian Perinatal Network suggest that only 24.4% of patients who present with indications such as preterm labour, antepartum hemorrhage, or premature prelabour rupture of the mem- branes deliver within 24 hours of admission to hospital [15]. As such, clinicians are likely to err by “overusing” magnesium sulphate among patients who present with threatened preterm birth. The decision tree shown in Figure 2 took into account: (i) that additional nursing costs would be incurred for patients in whom preterm birth at < 32+0 weeks gestation is threatened, as they would not otherwise need the one-on-one care required for ad- ministration of magnesium sulphate; (ii) that some would ultimately go on to deliver at more than 32+0 weeks gesta- tion; and (iii) that some would be eligible to receive a sec- ond course of treatment with magnesium sulphate if they failed to deliver after the first course of treatment. It was assumed that re-treatment would only occur if there was a high degree of certainty that delivery was imminent and that all patients who received a second course of treat- ment would deliver at < 32+0 weeks gestation. Maternal outcomes were excluded from the models, as there are only a few for which statistically significant dif- ferences have been found between women who had mag- nesium sulphate administered antenatally and those who did not [5-7]. These include transient hypotension, tachy- cardia, flushing, and nausea, which can all be reversed by discontinuing infusion of the drug. Note that the impact on the patient’s overall health utility is relatively small for each of these outcomes and the time period spent in each state of reduced health utility is brief, thereby making any difference in the quality-adjusted life years (QALYs) be- tween the two groups negligible. The calculation of this difference would therefore not contribute meaningfully to this analysis. CP was the only neonatal outcome included in the models, as it is the only outcome for which a statistically significant difference has been found between neonates who were antenatally exposed to magnesium sulphate for the purpose of fetal neuroprotection and those who were not [5-7]. CP has been stratified based on level of physical disability for the present analysis, with mild corresponding to levels I and II of the Gross Motor Function Classification System (GMFCS), moderate corresponding to level III, and severe corresponding to levels IV and V [16]. Probabilities The estimated probabilities for CP and each level of phys- ical disability are shown in Table 1. Data from four RCTs were pooled to obtain these probabilities (Table 2) [8-11]. For the threatened preterm birth model (Figure 2), the probability of delivery within 24 hours of initiation of a sin- gle treatment with magnesium sulphate was estimated to Figure 1 Decision tree for the imminent preterm birth models. The decision tree used to compare standard care (no treatment) with administration of magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is imminent. Bickford et al. BMC Health Services Research 2013, 13:527 Page 2 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 3. be 0.2442 and the probability of re-treatment (given no de- livery after an initial course of treatment) was estimated to be 0.6041 based on previously unpublished data from the Canadian Perinatal Network [15]. Life expectancies Life expectancies at birth were estimated using both published median survival times and expert opinion (Table 3) [17,18]. It has been assumed that those with mild CP have a life expectancy at birth equal to that of the general population in Canada [19]. Health-related quality of life The Health Utilities Index Mark 3 (HUI-3) is a validated, multi-attribute health classification system used to measure health-related quality of life [2,3]. HUI-3 utility scores are generated using scores for eight health attributes (vision, hearing, speech, ambulation, dexterity, emotion, cognition, and pain) [20]. Data from two studies were combined using weighted averages to obtain HUI-3 utility scores for indi- viduals with CP (Table 4) [2,3]. Note that utility values were estimated using expert opinion for the age ranges for which no data were available. HUI-3 utility scores for individuals in the general population are shown in Table 5 [21,22]. Cost to administer magnesium sulphate All costs are presented in 2011 Canadian dollars [$1CAN = $1US = £0.62GBP]. The average cost (per 10,000 patients) to administer magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is imminent was es- timated to be $57.08 per patient. Variation exists in dosing regimens, therefore this estimate assumed an adminis- tration protocol similar to those outlined in the Canadian Table 1 Estimated probability of CP among children born at < 32+0 weeks gestation and estimated probability of each level of physical disability given a diagnosis of CP MgSO4 No MgSO4 p-value CP 0.0524 0.0736 0.0144 Mild (GMFCS level I/II) 0.6364 0.6034 0.0552 Moderate (GMFCS level III) 0.2597 0.2069 0.0004 Severe (GMFCS level IV/V) 0.1039 0.1897 0.0001 Figure 2 Decision tree for the threatened preterm birth models. The decision tree used to compare standard care (no treatment) with administration of magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is threatened. Bickford et al. BMC Health Services Research 2013, 13:527 Page 3 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 4. and Australian clinical practice guidelines (i.e. a 4 gram intravenous loading dose followed by a 1 gram per hour maintenance infusion for a maximum of 24 hours) and took into consideration (1) the drug acquisition cost, (2) any laboratory costs incurred, and (3) the incremental cost of treating any adverse maternal or neonatal events associ- ated with administering the drug [12,13]. No incremental nursing costs were added for monitoring patients in whom preterm birth at < 32+0 weeks gestation is imminent, as they would already be receiving one-on-one nursing care in a delivery suite. A per patient drug acquisition cost of $34.35 was ob- tained from the pharmacy at an academic tertiary medical center in Vancouver, Canada. This included a pharmacy cost of $22.14 for one 1 liter bag of pre-mixed magnesium sulphate at a concentration of 40 mg/mL in normal saline (includes the drug and mixing costs), a cost of $1.37 each for three 1 liter bags of normal saline, a cost of $5.37 for one set of IV tubing, and a cost of $2.73 for one IV can- nula (M. Tofan, Dipl Pharm, written communication, November 2011). Pre-mixing of the magnesium sulphate infusion was preferred to minimize the risk of dosage er- rors. It was assumed that each patient would already have an intravenous drip in place and that pumps would be readily available on the delivery unit. Laboratory costs would only be incurred if there were evidence of maternal toxicity. It is anticipated that a max- imum of 10% of patients would have one magnesium sulphate serum level measurement during the administra- tion period, based on the proportion of women who dis- continued infusion of the drug in the Magpie trial and who would have had serum levels measured if treated in a high income country [23]. The estimated cost for this measure- ment is $19.73 and is comprised of a $7.00 blood collection fee, a $5.00 handling fee, and a $7.73 laboratory fee (D. Sawchuck, PhD, written communication, August 2011). It was assumed that the unlikely event of maternal re- spiratory depression would occur in a maximum 0.6% of patients, based on data from the Magpie trial [23]. It was further assumed that all of these patients would need to receive calcium gluconate and be intubated and ventilated for 24 hours. The estimated cost for this treat- ment is $2,884.30 and is comprised of a cost of $4.30 for a one gram dose of calcium gluconate (in a ten milliliter single use vial), a $280.00 airway management fee by an anesthesiologist, and $2,600.00 for 24 hours of critical care [24]. Excessive exposure to magnesium sulphate may result in neonatal hypotonia and respiratory depression [25,26]. It was assumed that the unlikely event of neonatal respira- tory depression would occur in a maximum 0.6% of pa- tients, based on the need for bag-mask ventilation in a sub-analysis of the BEAM trial [27]. This would require intubation and the need for level III NICU care for a period of 24 hours. To account for the maximum possible incremental cost, it was assumed that all neonates born at < 32+0 weeks gestation would otherwise require level II NICU care and would not be intubated. The estimated cost associated with this treatment is $576.03 and is com- prised of an incremental cost of $126.03 for physician bill- ing fees and an incremental cost of $450.00 for 24 hours of critical care in a level III NICU [28]. The average cost (per 10,000 patients) to administer magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is threatened was estimated to Table 3 Estimated life expectancies at birth for individuals with CP stratified by level of physical disability, as well as maximum and minimum values used in the sensitivity analyses Estimated life expectancy (years) Min Max Mild (GMFCS level I/II) 81 71 91 Moderate (GMFCS level III) 66 56 76 Severe (GMFCS level IV/V) 25 20 30 Table 2 Data used to calculate the probability of CP MgSO4 No MgSO4 Source Marrett 352 336 8 CP 22 30 Mittendorf 30 29 9 CP 3 0 Crowther 533 513 10 CP 36 42 Mild (GMFCS level I/II) 21 21 a Moderate (GMFCS level III) 12 15 a Severe (GMFCS level IV/V) 3 6 a Rouse 1030 1107 11 CP 41 74 Mild (GMFCS level I/II) 28 49 b Moderate (GMFCS level III) 8 9 b Severe (GMFCS level IV/V) 5 16 b Total number of patients assessed and number with each outcome in each of the four trials. Note that only data on patients to whom magnesium sulphate was administered for the specific purpose of fetal neuroprotection was included in the present analyses. a Assumed with reference to the study protocol and detailed descriptions of characteristics for each GMFCS level for children under the age of four. b D. Rouse, MD, written communication, March 2011. Bickford et al. BMC Health Services Research 2013, 13:527 Page 4 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 5. be $897.08 per patient. It was assumed that patients in whom preterm birth at < 32+0 weeks gestation is threatened would not already be receiving the one-on-one nursing care required for administration of magnesium sulphate. Therefore, the estimated cost to administer magnesium sulphate to this population included both the $57.08 administration cost outlined above and $840.00 in nursing costs to account for a 24 hour period of one-on-one nurs- ing care (D. Sawchuck, PhD, written communication, August 2011). Lifetime cost of cerebral palsy The lifetime costs of CP (Table 6) were estimated using the life expectancies shown in Table 3 and the health care, productivity, and social annual attributable cost in- puts shown in Table 7. Detailed information on the methodology used to determine these annual attribut- able cost inputs has been outlined in a previous publica- tion [1]. The health care costs consisted of all primary health care, hospital, and pharmaceutical costs. The productivity costs consisted of all costs associated with lost labour market productivity for adults with CP. The social costs consisted of all costs associated with special- ized education, specialized housing, and lost labour mar- ket productivity for primary care providers of children with CP. Health care and productivity costs were quanti- fied using patient-level data obtained from a Danish population-based register, while social costs were esti- mated using a combination of register data, previously published literature, and expert opinion. All costs were originally determined in 2006 Danish Kroner (DKK). These values were converted to Canadian dollars (CAD) using the average Bank of Canada nominal exchange rate between January 1, 2002 and January 1, 2011 (1 CAD = 4.9494 DKK). Inflation was then adjusted for using Canadian Health and Personal Care Consumer Price Index (CPI) values for 2006 and 2011, which were 105.9 and 117.1 respectively. The formula used for cur- rency conversion was: (DKK2006)*(1.0000 CAD)/(4.9494 DKK) = (CAD2006). The formula used to adjust for infla- tion was: (CAD2006)*(CPI2011)/(CPI2006) = (CAD2011). Analysis The cost-effectiveness of antenatal administration of mag- nesium sulphate for fetal neuroprotection among preterm deliveries at < 32+0 weeks gestation as compared to no treatment were analysed from both a health system per- spective and a societal perspective. Two measures of ef- fectiveness were explored in separate analyses: (1) cases of CP averted and (2) QALYs. QALYs are a measure of effect- iveness that take into account both the length of life and the level of health-related quality of life associated with a particular outcome [29,30]. Lifetime costs were used in all analyses. Incremental cost-effectiveness ratios (ICERs) were calculated in the base-case analyses. ICERs give the add- itional cost per unit of effectiveness gained when one treatment alternative is compared to another [29,30]. Probabilistic sensitivity analyses were conducted using Table 4 Mean HUI-3 utility scores for individuals with CP stratified by level of physical disability Age (years) Mild Moderate Severe Source (GMFCS level I/II) (GMFCS level III) (GMFCS level IV/V) Mean SE Mean SE Mean SE 0-4 0.79 0.24 0.66 0.25 0.47 0.22 – 5-12 0.72 0.26 0.54 0.27 0.24 0.22 – 13-20 0.66 0.28 0.41 0.29 0.01 0.23 2,3 21-22 0.61 0.32 0.47 0.28 −0.01 0.22 – 23-32 0.57 0.35 0.53 0.27 −0.04 0.21 3 > 32 0.57 0.35 0.53 0.27 −0.04 0.21 – Table 5 Mean HUI-3 utility scores for the general population Age (years) General population Source Mean SE 0-12 0.92 0.11 – 13-15 0.90 0.15 21 16-37 0.85 0.18 21 38-54 0.83 0.01 22 55-64 0.77 0.02 22 65-74 0.80 0.01 22 75-89 0.75 0.01 22 Table 6 The undiscounted lifetime cost of CP stratified by level of physical disability Health system perspective Societal perspective Mild (GMFCS level I/II) 33,524 3,581,722 Moderate (GMFCS level III) 70,923 4,500,094 Severe (GMFCS level IV/V) 61,378 2,208,153 Bickford et al. BMC Health Services Research 2013, 13:527 Page 5 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 6. Monte Carlo simulation, producing incremental cost- effectiveness plots (ICEPs) and cost-effectiveness ac- ceptability curves (CEACs). ICEPs illustrate the ICERs generated when model inputs are simultaneously varied in a series of analyses (e.g. 10,000 simulations). CEACs illustrate the probability of a treatment option being cost-effective across various willingness-to-pay values. Each willingness-to-pay value represents the maximum cost that a decision-maker is willing to pay for an add- itional unit of effectiveness [29,30]. The results of the Monte Carlo analyses are based on 10,000 simulations. Beta and Dirichlet distributions were used for probabilities, gamma distributions were used for costs, beta distributions were used for utility weights, and triangular distributions were used for life expectancies [29]. The standard errors for all costs were estimated to be 20% of their point estimates, to account for any uncer- tainty or regional variation in these values. The standard errors for all utility weights were taken from the literature (Tables 4 and 5). Minimum and maximum values for life expectancy estimates for individuals with CP were deter- mined using expert opinion (Table 3). The life expectancy for the general population was not varied, as it was calcu- lated using population-based data. In accordance with the World Health Organization’s guide to cost-effectiveness analyses, costs and QALYs were discounted at 3% annually for the base case analyses, but further sensitivity analyses were also conducted using a 6% annual discount rate for costs and a 0% annual discount rate for QALYs [30,31]. All analyses were carried out using TreeAge Pro 2012 (TreeAge Software, Inc, Williamstown, MA). Results Imminent preterm birth A treatment option that is less costly and more effective than its alternative is always considered to be cost-effective and is referred to as a dominant strategy [30]. The point estimates listed in Tables 8 and 9 indicate that administra- tion of magnesium sulphate is a dominant strategy com- pared to the alternative of no treatment no matter what measure of effectiveness or cost perspective is used. The results generated from a health system perspective indicate that a savings of $2,242 is obtained for each QALY gained and a savings of $30,942 is obtained for each case of CP averted. The results generated from a societal perspective indicate that a savings of $112,602 is obtained for each QALY gained and a savings of $1,554,198 is obtained for each case of CP averted. The ICEPs generated through the probabilistic sensitiv- ity analysis illustrate that when all model inputs are varied, the majority of the computed ICERs fall into the quadrant of the incremental cost-effectiveness plane which indi- cates that administering magnesium sulphate is a dom- inant strategy compared to the alternative of no treatment (Figure 3). The CEACs indicate that the probability of ad- ministration of magnesium sulphate being cost-effective is over 99% for all willingness-to-pay values up to $100,000, no matter what measure of effectiveness or cost perspec- tive is used (Figure 4). Threatened preterm birth The point estimates listed in Tables 10 and 11 indicate that administration of magnesium sulphate is a domin- ant strategy compared to the alternative of no treatment only when a societal perspective is used. When a health system perspective is used, it is both more effective and more costly than the alternative of no treatment. The re- sults generated from a societal perspective indicate that a savings of $108,277 is obtained for each QALY gained and a savings of $1,494,500 is obtained for each case of CP averted. The results generated from a health system perspective indicate that a cost of $2,083 is incurred for Table 7 The annual attributable health care, productivity, and social costs for children and adults with CP stratified by level of physical disability Children ≤18 years Adults > 18 years Health Productivity Social Total Health Productivity Social Total Mild (GMFCS level I/II) 1,279 0 51,146 52,425 146 16,991 23,905 41,042 Moderate (GMFCS level III) 2,895 0 77,179 80,074 331 25,653 36,072 62,056 Severe (GMFCS level IV/V) 3,100 0 87,278 90,378 355 28,992 40,792 70,139 Table 8 ICERs calculated for the imminent preterm birth models using cases of CP averted as the measure of effectiveness Analysis Method Cost Δ cost Cases w/o CP Δ cases w/o CP ICER Status Health system perspective MgSO4 $1,672 -$653 0.95 0.02 -$30,942 Dominant No MgSO4 $2,326 0.93 Societal perspective MgSO4 $85,822 -$32,808 0.95 0.02 -$1,554,198 Dominant No MgSO4 $118,630 0.93 Bickford et al. BMC Health Services Research 2013, 13:527 Page 6 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 7. each QALY gained and a cost of $28,755 is incurred for each case of CP averted. The ICEPs generated through the probabilistic sensitiv- ity analysis illustrate that when all model inputs are varied, the majority of the ICERs computed from a societal per- spective fall into the quadrant of the incremental cost- effectiveness plane which indicates that administration of magnesium sulphate is a dominant strategy compared to the alternative of no treatment. Conversely, the majority of the ICERs computed from a health system perspective fall into the quadrant of the incremental cost-effectiveness plane which indicates that that administration of magne- sium sulphate is both more costly and more effective than the alternative of no treatment (Figure 5). The CEACs generated using a societal perspective indicate that the probability of administration of magnesium sulphate being cost-effective is over 99% for all willingness-to-pay values up to $100,000, no matter what measure of effectiveness is used. The CEACs generated using a health system perspective indicate much lower probabilities of cost- effectiveness (Figure 6). Discussion Main findings Administration of magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is imminent is a dominant (i.e. cost-effective) strategy compared to the alternative of no treatment, no matter what measure of Table 9 ICERs calculated for the imminent preterm birth models using QALYs as the measure of effectiveness Analysis Method Cost Δ cost QALYs Δ QALYs ICER Status Health system perspective MgSO4 $1,672 -$653 26.6 0.3 -$2,242 Dominant No MgSO4 $2,326 26.3 Societal perspective MgSO4 $85,822 -$32,808 26.6 0.3 -$112,602 Dominant No MgSO4 $118,630 26.3 Societal Perspective, QALYs Health System Perspective, Cases of CP Averted Health System Perspective, QALYs Societal Perspective, Cases of CP Averted Figure 3 ICEPs for the imminent preterm birth models. The black ellipses represent 95% confidence intervals. Bickford et al. BMC Health Services Research 2013, 13:527 Page 7 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 8. effectiveness or cost perspective is used. Administration of magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is threatened is a dominant strat- egy compared to the alternative of no treatment from only a societal perspective. When a health system perspective is used its cost-effectiveness is dependent on the decision- makers’ willingness-to-pay for an additional QALY or case of CP averted. The National Institute for Health and Clinical Excellence suggests that society’s willingness-to- pay threshold for new health technologies is approximately $30,000/QALY, making anything less costly a cost-effective option from the viewpoint of society as a whole [32]. Administration of magnesium sulphate to patients in whom preterm birth at < 32+0 weeks gestation is threatened has a very high probability of being cost-effective at all willingness-to-pay values over $10,000/QALY, no matter what cost perspective is used. Therefore, it is very likely to be a cost-effective option from the viewpoint of society as a whole even though it is not a dominant strategy from all cost perspectives. Health System Perspective, Cases of CP Averted Societal Perspective, QALYs Health System Perspective, QALYs Societal Perspective, Cases of CP Averted Figure 4 CEACs for the imminent preterm birth models. The blue line depicts the probability of magnesium sulphate being cost-effective across all willingness-to-pay values up to $100,000. The red line depicts the probability of the alternative (no treatment) being cost effective across all willingness-to-pay values up to $100,000. Table 10 ICERs calculated for the threatened preterm birth models using cases of CP averted as the measure of effectiveness Analysis Method Cost Δ cost Cases w/o CP Δ cases w/o CP ICER Status Health system perspective MgSO4 $2,055 $425 0.96 0.01 $28,755 a No MgSO4 $1,630 0.95 Societal perspective MgSO4 $61,028 -$22,109 0.96 0.01 -$1,494,500 Dominant No MgSO4 $83,137 0.95 a Cost-effectiveness is dependent on the willingness-to-pay threshold of the decision-maker. Bickford et al. BMC Health Services Research 2013, 13:527 Page 8 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 9. Strengths and limitations This is the first study in which the cost to administer mag- nesium sulphate specifically for fetal neuroprotection has been estimated (previous studies, including the Cahill et al. cost-effectiveness analysis, have only reported/uti- lized the cost to administer magnesium sulphate for toco- lysis or preeclampsia prophylaxis). It is also the first study to present detailed data on the lifetime costs of CP by level of physical disability. The use of these data in the present analysis is important because the extent of care required for individuals with different levels of disability varies con- siderably. It is also important because the lifetime cost of CP is a key driver of the cost-effectiveness of administra- tion of magnesium sulphate. The analyses included models for both imminent and threatened preterm birth because there is no infallible way to predict which patients will deliver imminently. As such, clinicians are likely to err by “overusing” mag- nesium sulphate among patients who present with what appears to be imminent preterm birth, but is in fact threatened preterm birth. The threatened preterm birth model included important information on additional resources required to administer magnesium sulphate to those who would be likely to receive it in clinical Societal Perspective, QALYsSocietal Perspective, Cases of CP Averted Health System Perspective, Cases of CP Averted Health System Perspective, QALYs Figure 5 ICEPs for the threatened preterm birth models. The black ellipses represent 95% confidence intervals. Table 11 ICERs calculated for the threatened preterm birth models using QALYs as the measure of effectiveness Analysis Method Cost Δ cost QALYs Δ QALYs ICER Status Health system perspective MgSO4 $2,055 $425 26.7 0.2 $2,083 a No MgSO4 $1,630 26.5 Societal perspective MgSO4 $61,028 -$22,109 26.7 0.2 -$108,277 Dominant No MgSO4 $83,137 26.5 a Cost-effectiveness is dependent on the willingness-to-pay threshold of the decision-maker. Bickford et al. BMC Health Services Research 2013, 13:527 Page 9 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 10. practice. However, note that the assumption that a sec- ond course of treatment with magnesium sulphate would occur only in the case of imminent preterm birth may not always reflect clinical practice. The estimation of model inputs is a common limita- tion of decision analytic models. For the present analysis, many of the utility weights for individuals with CP were estimated due to a paucity of published information on the health-related quality of life of this population. Un- certainty also remains around the probability inputs, given that they were obtained using aggregated data ra- ther than data from a single randomized controlled trial [33]. In this analysis the impact that such estimates have on the precision of the model has been minimized through the use of a robust probabilistic sensitivity ana- lysis, which allows the effect of uncertainty across all the parameters to be considered simultaneously. Another common limitation of decision analytic models is the uncertainty that surrounds the structure of the model itself. For example, it should be noted that the clas- sification of CP as being mild, moderate, or severe requires broad generalizations and that this is only one of many classification systems that could have been utilized. In addition, perinatal death was excluded from the model, as the authors feel that there is not enough evidence at this time to indicate whether there is a difference in perinatal death between the two groups or what the magnitude of this difference may be. However, it should be noted that the assumption of no effect on mortality has been recently disputed in a meta-analysis of observational studies, which found that the use of magnesium sulphate was associated with a decrease in both CP and perinatal mortality [34]. With respect to these findings, if a randomized controlled trial were ever to show that antenatal administration of magnesium sulphate decreased the probability of peri- natal death, then the cost-effectiveness of administering magnesium sulphate for fetal neuroprotection would only be improved. Health System Perspective, Cases of CP Averted Health System Perspective, QALYs Societal Perspective, Cases of CP Averted Societal Perspective, QALYs Figure 6 CEACs for the threatened preterm birth models. The blue line depicts the probability of magnesium sulphate being cost-effective across all willingness-to-pay values up to $100,000. The red line depicts the probability of the alternative (no treatment) being cost effective across all willingness-to-pay values up to $100,000. Bickford et al. BMC Health Services Research 2013, 13:527 Page 10 of 12 http://www.biomedcentral.com/1472-6963/13/527
  • 11. Comparison to other studies One other cost-effectiveness analysis on the use of magne- sium sulphate for fetal neuroprotection has been identified [35]. The results obtained in this study are consistent with the findings of our analysis in that administration of mag- nesium sulphate for fetal neuroprotection was found to be less costly and more effective than the alternative of no treatment from a societal perspective. However, our prob- abilistic sensitivity analysis produced much higher prob- abilities of magnesium sulphate being cost-effective. An explanation for this difference is that the cost of CP used in the Cahill et al. study was likely underestimated. They did not take into account the severity of CP and their esti- mate of the lifetime cost of CP was taken from a single study, whereas our analysis used previously unpublished, population-based data on the lifetime cost of CP stratified by level of physical disability. Furthermore, the life expect- ancies and utility values utilized in their analysis were likely overestimated. We have therefore built on the Cahill et al. study by inserting more precise estimates into our model, in addition to using several cost perspectives and measures of effectiveness and investigating the cost-effectiveness of imminent and threatened preterm birth separately. Conclusions Administration of magnesium sulphate to patients in whom preterm birth is imminent is a dominant (i.e. cost- effective) strategy, no matter what measure of effectiveness or cost perspective is used. Administration of magnesium sulphate to patients in whom preterm birth is threatened is a dominant strategy from a societal perspective and is very likely to be cost-effective from a health system per- spective. Clinicians and administrators should interpret the findings of this study as providing reassurance that if a diagnosis of imminent preterm birth at < 32+0 weeks gesta- tion is made and magnesium sulphate is administered, but the patient does not deliver, this “overuse” of magnesium sulphate is still likely to have been cost-effective. Competing interests The authors declare that they have no competing interests. Authors’ contributions CB contributed to the literature review, study design, and analysis. CB drafted the first version of the manuscript and led the submission process. LM initiated the collaborative project, as well as contributing to the study design and analysis and obtaining costing data. CM, MK, AS, DS, MB, VS, and PvD contributed to the study design and analysis and obtained costing data. All authors contributed to the interpretation of the study findings and the revision and approval of the final manuscript. Acknowledgements We are grateful to the Danish Cerebral Palsy Register for providing us with information on the lifetime costs of CP, Steven Weiner and Dwight Rouse for providing us with previously unpublished data from the BEAM trial, and Lisa Masucci and Mohsen Sadatsafavi for their assistance with the model development and analysis. The Canadian Institutes of Health Research provided funding for the MAG-CP (magnesium sulphate for fetal neuroprotection) project, of which this analysis is a component. The MAG-CP (Magnesium sulphate for fetal neuroprotection of the preterm infant) Working Group consists of DA DeSilva, LA Magee, and AR Synnes. 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