Description

Once a woman's  relative risk for breast cancer has been calculated in the Gail model (previous section), it needs to be converted to the absolute risk for the individual patient. Absolute risks are calculated for the periods of 10, 20 and 30 years from the time that the woman is counseled.


Parameters:

(1) relative risk

(2) age of patient at the time of counseling in years

(3) number of biopsies taken

(4) presence or absence of known atypical hyperplasia

 

Benichout et al showed different figures for each set of parameters. The equations below were based on data extracted from the figures, with the line approximations derived using JMP.

 

If the age of the woman is > 50, then the figures in Benichou et al do not handle the absolute risk.

 

10 Year Absolute Risk

Figure

Age

Equation for Absolute Risk from Relative Risk

no biopsy

C2a

20

= (0.0671 * RR) - 0.067143

 

 

30

= (0.42607 * RR) + 0.15393

 

 

40

= (1.14786 * RR) + 0.345

 

 

50

= (1.42929 * RR) + 0.4021

1 biopsy, no known atypical hyperplasia

C2b

20

= (0.0427 * RR) + 0.1706

 

 

30

= (0.412 * RR) + 0.35867

 

 

40

= (1.116786 * RR) + 0.4971

 

 

50

= (1.4015 * RR) + 0.633

1 biopsy, atypical hyperplasia

C2c

20

= (0.064286 * RR) - 0.2619

 

 

30

= (0.44045 * RR) + 0.21418

 

 

40

= (-0.007456 * (RR^2)) + (1.2671 * RR) + 0.004

 

 

50

= (-0.008342 * (RR^2)) + (1.50793 * RR) + 0.561157

>= 2 biopsies, no known atypical hyperplasia

C2d

20

= (0.05263 * RR) - 0.0526

 

 

30

= (0.42615 * RR) + 0.1970303

 

 

40

= (-0.008 * (RR^2)) + (1.2731 * RR) - 0.06935

 

 

50

=  (1.4465 * RR) + 0.423

>= 2 biopsies, atypical hyperplasia

C2e

20

= (0.05203 * RR) - 0.248448

 

 

30

= (0.4045238 * RR) + 0.4007

 

 

40

= (-0.005479 * (RR^2)) + (1.19746 * RR) + 0.195893

 

 

50

= (-0.00829 * (RR^2)) + (1.49857 * RR) + 0.4

 

where:

• RR = relative risk

 

20 Year Absolute Risk

Figure

Age

Equation for Absolute Risk

no biopsy

C2f

20

= (0.51 * RR) - 0.03

 

 

30

= (1.592857 * RR) + 0.157

 

 

40

= (-0.04345 * (RR^2)) + (2.89345 * RR) - 0.125

 

 

50

= (-0.0411 * (RR^2)) + (3.23839 * RR) + 0.02232

1 biopsy, no known atypical hyperplasia

C2g

20

= (0.5 * RR)

 

 

30

= (1.499286 * RR) + 0.52857

 

 

40

= (-0.014881 * (RR^2)) + (2.2345 * RR) + 0.4

 

 

50

= (-0.0607 * (RR^2)) + (3.46857 * RR) - 0.66

1 biopsy, atypical hyperplasia

C2h

20

=(0.465909 * RR) + 0.2045455

 

 

30

= (-0.00737 * (RR^2)) + (1.575857 * RR) + 0.3416

 

 

40

= ( -0.017234* (RR^2)) + (2.24285 * RR) + 0.59307

 

 

50

= (-0.040692 * (RR^2)) + (3.182526 * RR) + 0.16467

>= 2 biopsies, no known atypical hyperplasia

C2i

20

= (0.4639 * RR) + 0.2187879

 

 

30

= (-0.010384 * (RR^2)) + (1.627 * RR) + 0.27744

 

 

40

= (-0.01568 * (RR^2)) + (2.0325596 * RR) + 0.26261

 

 

50

= (-0.04063 * (RR^2)) + (3.160179 * RR) + 0.31

>= 2 biopsies, atypical hyperplasia

C2j

20

=  (0.4569 * RR) + 0.18214

 

 

30

= (-0.010357 * (RR^2)) + (1.65107 * RR) - 0.308929

 

 

40

= (-0.013167 * (RR^2)) + (1.917 * RR) + 1.1982

 

 

50

= (-0.040286 * (RR^2)) + (3.16657 * RR) + 0.08

 

 

30 Year Absolute Risk

 Figure

Age

Equation for Absolute Risk

no biopsy

C1a

20

= (1.77143 * RR) - 0.4714

 

 

30

= (2.9357 * RR) + 0.18095

 

 

40

= (-0.08024 * (RR^2)) + (4.40784 * RR) + 0.023287

 

 

50

= (-0.08024 * (RR^2)) + (4.40784 * RR) + 0.023287

1 biopsy, no known  atypical hyperplasia

C1b

20

=  (1.5759 * RR) - 0.0357

 

 

30

= (-0.02381 * (RR^2)) + (2.6667 * RR) + 0.2857143

 

 

40

= (-0.046875 * (RR^2)) + (3.495536 * RR) + 0.25

 

 

50

= (-0.089286 * (RR^2)) + (4.52143 * RR) - 0.7

1 biopsy, atypical hyperplasia

C1e

20

= (-0.01354 * (RR^2)) + (1.744365 * RR) - 0.08409

 

 

30

= (-0.027697 * (RR^2)) + (2.6822 * RR) + 0.7905

 

 

40

= (-0.04248 * (RR^2)) + (3.37689 * RR) + 1.05

 

 

50

= (-0.039177 * (RR^2)) + (3.481 * RR) + 4.4797619

>= 2 biopsies, no known atypical hyperplasia

C1c

20

= (-0.017337* (RR^2)) + (1.8286 * RR) + 0.036

 

 

30

= (-0.0319* (RR^2)) + (2.7047 * RR) - 1.1318

 

 

40

= (-0.024 * (RR^2)) + (2.666 * RR) + 1.8

 

 

50

= (-0.02823 * (RR^2)) + (3.364 * RR) + 3.94

>= 2 biopsies, atypical hyperplasia

C1f

20

= (-0.010405 * (RR^2)) + (1.6617857 * RR) + 0.1553571

 

 

30

= (-0.01881 * (RR^2)) + (2.3069048 * RR) + 1.4357143

 

 

40

= (-0.024186 * (RR^2)) + (2.6597381 * RR) + 2.0817857

 

 

50

= (-0.063836* (RR^2)) + (4.1417669 * RR) + 0.6841035

 

The 95% confidence intervals for each risk prediction (10, 20 or 30 years) could be estimated, using different equations if atypical hyperplasia was known present or not.

 

95% Confidence Limits

Figure

Line

Equation for 95% CI

no atypical hyperplasia

C3

lower

= (-0.002054 * (AR^2)) + (0.76375 * AR) + 0.55

 

 

upper

= (1.36 * AR) - 0.4

atypical hyperplasia

C3

lower

= (-0.00119 * (AR^2)) + (0.6467619 * AR) - 0.357143

 

 

upper

= (-0.00566 * (AR^2)) + (1.651147 * AR) + 0.172727

 

where:

• AR = absolute risk from 10, 20 or 30 year risk equations

 

If age was not exactly at the decade (20, 30, 40 or 50), then a value between the absolute risk for the decade above and for the decade below were used.

 

absolute risk when between decades =

= (absolute risk for lower decade) + ((((age) - (lower decade)) / 10) * ((absolute risk for higher decade) - (absolute risk for lower decade)))

 

Limitations:

• The Gail model was found by Bondy et al to perform well at predicting the risk of breast cancer in women who adhered to the American Cancer Society screening guidelines, However, women who did not adhere to the screening guidelines, it tended to overpredict the risk.

• Bondy et al also noted that the model tended to overpredict the risk for women < 60 and to underpredict the risk for women >= 60 years of age.


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