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K

is obtained ratiometrically and is not directly connected to the

corresponding level of serum PSA, except for the fact that both

K

and the

PSA concentration generally increase with cancer. The

K

parameter can

be used directly to classify patients via binary analysis (eg, cancer

present or absent), or converted by logistic regression to an individual

risk probability

[2_TD$DIFF]

, KR, for the two study indications.

2.3.

IsoPSA clinical performance evaluation

Two key clinical performance objectives were tested: discriminatory

power between PCa (Gleason 6) and benign prostate conditions (cancer

vs no cancer), and between high-grade PCa (Gleason 7) and low-grade

cancer (Gleason 6) or benign histology (high grade). Two receiver

operating characteristic (ROC) analyses were developed to evaluate the

discriminatory power of

K

. Since the subjects were already selected for

biopsy, the sample size was calculated according to the length of the 95%

confidence interval (CI) for the estimated sensitivity using the formula

N

c

¼

Z

2

a

=

2

V

u

ð Þ

L

2

; where

N

c

is one-half of the cancer cohort,

u

is the expected

sensitivity estimate,

L

denotes the desired one-half of the CI, and

V

u

ð Þ ¼

u

1

u

ð Þ

(V. Kipnis, personal communication). Setting the expected

sensitivity estimate to

u

= 0.95 and the 95% CI to 0.9–1.0, making

L

= 0.05, and with

Z

a

/2

=

Z

0.025

= 1.96, we obtain

N

c

70 and thus a total

sample size of 140. More directly, the confidence interval of the area

under the ROC curve (AUC) for each ROC analysis was determined using

1000 bootstrapped samples with replacement. A calibration curve for

each model was constructed to explore the relationship between the

observed and predicted outcome. Decision curve analysis (DCA)

[16]

was

used to investigate the clinical utility of the models in comparison to the

two extreme limits of all-biopsy (as for the current patient cohort) and

no-biopsy, as well as against the modified Prostate Cancer Prevention

Table 1 – Demographic data and clinical parameters for the patient cohort by clinical status category

Negative biopsy

Low-grade PCa (Gleason 6)

High-grade PCa (Gleason 7)

Number

122

51

88

Age at blood draw (yr)

63.00 (58–69)

63. 00 (57–70)

64.65 (60–72)

<

50 yr

5 (4)

0 (0)

2 (2)

50–75 yr

115 (94)

48 (94)

76 (86)

>

75 yr

2 (2)

3 (6)

10 (11)

Race

African American

12 (10)

6 (12)

12 (14)

Caucasian

108 (89)

44 (86)

72 (82)

Hispanic

0 (0)

0 (0)

0 (0)

Other

0 (0)

0 (0)

3 (3)

Unknown

2 (2)

1 (2)

1 (1)

Abnormal digital rectal examinatio

n a

13 (11)

38 (75)

19 (22)

Prior prostate biopsy

35 (29)

17 (33)

19 (22)

Medications

None

79 (64.8)

41 (8.4)

72 (81.8)

Other/unspecified

5 (4.1)

2 (3.9)

1 (1.1)

5-

a

reductase

2 (1.6)

0 (0.0)

1 (1.1)

a

-Blockers

32 (26.2)

8 (15.7)

13 (14.8)

5

a

-Reductase +

a

-blockers

4 (3.28)

0 (0.0)

1 (1.1)

Total PSA (ng/ml)

5.68 (4.45–7.89)

5.45 (4.29–7.54)

7.45 (5.83–11.04)

2–4 ng/ml

18 (15)

11 (22)

6 (7)

4–10 ng/ml

87 (71)

36 (71)

52 (59)

10–25 ng/ml

14 (11)

2 (4)

25 (28)

>

25 ng/ml

2 (2)

1 (2)

4 (5)

Free PSA (ng/ml)

1.02 (0.66–1.41)

0.74 (0.56–1.29)

0.79 (0.56–1.29)

Prostate volume (g)

49 (40–60)

40(31–44)

40 (30–50)

Free/total PSA ratio (%)

17 (13–22)

14 (11–18)

10 (8–16)

KR-CNC (%)

36 (28–51)

52 (37–74)

74 (51–87)

Quintile 1 (

<

30.5%)

43 (35)

7 (14)

2 (2)

Quintile 2 (30.5–42.1%)

36 (30)

10 (20)

6 (7)

Quintile 3 (42.1–56.2%)

19 (16)

15 (29)

19 (22)

Quintile 4 (56.2–79.6%)

17 (14)

8 (16)

27 (31)

Quintile 5 (

>

79.6%)

7 (6)

11 (22)

34 (29)

KR-HG (%)

16 (12–27)

34 (17–49)

50 (27–70)

Quintile 1 (

<

10.0%)

43 (35)

7 (14)

2 (2)

Quintile 2 (10.0–16.4%)

36 (30)

10 (20)

6 (7)

Quintile 3 (16.4–28.6%)

19 (16)

15 (29)

19 (22)

Quintile 4 (28.6–53.8%)

17 (14)

8 (16)

27 (31)

Quintile 5 (

>

53.8%)

7 (6)

11 (22)

34 (39)

Biopsy Gleason grade

6

46 (100)

0 (0)

3 + 4

0 (0)

44 (61)

4 + 3

0 (0)

15 (21)

8

0 (0)

8 (11)

9

0 (0)

3 (4)

10

0 (0)

2 (3)

PCa = prostate cancer; KR =

K

risk value result; CNC = cancer versus no cancer; HG = high-grade PCa versus benign/low-grade PCa.

Data are presented as median (interquartile range) for continuous variables and

n

(%) for categorical variables.

a

Recent digital rectal examination result not available for 35 of the patients included.

E U R O P E A N U R O L O G Y 7 2 ( 2 0 1 7 ) 9 4 2 – 9 4 9

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