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were 6.01% and 7.10% with PRIAS, 5.40% and 6.39% with

the MRI-based, and 6.93% and 8.19% with the 5-yr biopsy

strategies, respectively. Lifetime risks of receiving radical

treatment were 46% with PRIAS, 50% with the MRI-based,

and 43% with 5-yr biopsy strategies. AS using the PRIAS

(33.79 QALYs), MRI-based (33.89 QALYs), and 5-yr biopsy

(33.63 QALYs) strategies yielded higher QALYs than WW

(33.36 QALYs). Supplementary

Table 2

shows the 10-yr

and lifetime risks of receiving radical treatment,

metastasis, and PCa death for cohorts starting at different

ages.

3.3.

Sensitivity analyses

In one-way sensitivity analysis for the end point of LYs

( Fig. 2 A

), the risk of metastasis for untreated grade

reclassification, age at initiation, proportion with initial

misclassification, and ratio of reduction in metastasis with

treatment versus WW had the greatest overall impact on

remaining life expectancy. However, only age

>

77.6 yr at

initiation led to a switch in preferred strategy from AS to

WW based on the outcome of LYs. To test whether this age

sensitivity was an artifact of discontinuing biopsies at 75 yr

in the base case scenario, we generated a separate model

and performed an analysis starting at age 70 and 75 yr with

biopsies extending until 85 yr, and AS yielded slightly more

LYs (+0.14 and +0.07, respectively).

Given the variability in reported rates of treatment-related

complications and difficulties in estimating joint-state utili-

ties for side effects, sensitivity analyses were also performed

for the outcome QALYs

( Fig. 2

B). The discount rate, risk of

metastasis for untreated grade reclassification, duration of

treatment complications, and age at initiation all had a

substantial impact on expected QALY. However, the only

parameters leading to a shift in the preferred management

strategy were discount rate (0.0018), risk of metastasis (2.4%

at 10 y), duration of treatment-related complications (

>

27 y)

and age (63).

In two-way sensitivity analyses

( Fig. 3 A

), AS was preferred

with a shorter duration and lower decrement in utility from

treatment-related complications, whereas WW was associat-

ed with more QALYs with long-term larger utility decrement

from treatment complications. AS was also associated with

more QALYs across the range of utilities, except at a very low

Table 1

Parameters of the Markov model comparing watchful waiting and active surveillance

Variable

Point estimate

Range for sensitivity analysis

a

Epidemiologic variables

Proportion with initial grade misclassi

fi

cation

[39]

35% low risk

31% very low risk

0

42%

Probability of grade reclassi

fi

cation

[40,41]

Low risk: 1.2%/yr

Very low risk: 1%/yr

0

2.7%/yr

Probability of metastasis with untreated grade reclassi

fi

cation

[34,40 44]

MFS 99% at 5 yr,

91% at 10 yr,

82% at 15 yr,

then stabilizes

1.2

21.3% at 10 yr

Relative risk of metastasis with treatment versus watchful waiting

[8,26,34]

0.57

0.38

0.75

Probability of PCa death given metastasis

[45 48]

Median overall

survival 60 mo,

85% PCa death

20

80 mo

Test performance variables

PSA sensitivity

[25]

49.5%

40.2

58.8%

PSA speci

fi

city

[25]

50.8%

44.2

78.7%

MRI sensitivity

[49]

69%

44

86%

MRI speci

fi

city

[49]

78%

53

91%

Biopsy sensitivity with normal MRI

[50,51]

53%

43

63%

Increase in biopsy sensitivity with an abnormal MRI

[50]

32%

23

38%

Biopsy speci

fi

city

1

Fixed at 1 (assumption)

Complications variables

Probability of infection after biopsy

[52,53]

4.0%

0

6.3%

Probability of death from treatment

[6,8,26,54,55]

0.2%

0

0.88%

Utilities

b

Utility for no treatment

[16]

0.97

0.5

1

Decrement in utility for patients having complication after biopsy

[16] c

0.07

0.06

0.43

Utility during treatment

[16]

0.67

0.65

0.90

Decrement in utility from complications after treatment

[6,16,56] d

0.02

0

0.29

Duration of utility decrement from complications after treatment

[16]

10 yr

1

40 yr

Decrement in utility with metastasis

[6,16,56]

0.21

0.10

0.50

Discount rate

0

0

0.03

MFS = metastasis-free survival; MRI = magnetic resonance imaging; PCa = prostate cancer; PSA = prostate-speci

fi

c antigen.

a

The range for sensitivity analysis was drawn from the literature.

b

Utility decrements were used to preserve the rank order of utilities for different states. For example, the utility for

no treatment, biopsy

is defined by

subtracting the decrement of utility for the

no treatment, biopsy

state from the utility of the

no treatment

state. By setting the upper bound of the decrement

to be less than the utility of the

no treatment

state, we can assure that the utility for the

no treatment, biopsy

state is always lower than that for the

no

treatment

state.

c

The decrement in utility for biopsy complications was applied for 1 mo.

d

A decrement of 0.11 was applied to men undergoing treatment at age 70 to account for more frequent complications in this age group.

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