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Table 2 Model natural history parameters, search ranges, and calibrated parameters*

From: Modeling human papillomavirus and cervical cancer in the United States for analyses of screening and vaccination

Variables

†

Before Calibration

Calibration Results

  

Parameter Ranges

 

Parameter Inputs

Parameter Multiplier

Search Ranges

Minimum

Maximum

Progression

    

From Normal to HPV Infection ‡

    

   - Low-Risk HPV

0.1 – 34.5

1.0 – 4.0

0.2

137.3

   - High-Risk HPV-16

0.1 – 23.4

1.0 – 8.0 §§

0.5

188.6

   - High-Risk HPV-18

0.0 – 13.8

1.0 – 8.0 §§

0.0

110.1

   - Other High-Risk HPV

1.2 – 114.5

1.0 – 8.0

1.5

937.3

From HPV Infection to CIN1 §

    

   - Low-Risk HPV

55.8 – 64.7

0.1 – 6.0

51.7

377.5

   - High-Risk HPV-16

57.5 – 102.3

0.1 – 6.0

13.2

621.0

   - High-Risk HPV-18

57.5 – 102.3

0.1 – 6.0

14.8

595.7

   - Other High-Risk HPV

57.5 – 102.3

0.1 – 6.0

27.3

615.7

From HPV Infection to CIN2,3 ¶

    

   - Low-Risk HPV

0.4 – 9.3

0.0 – 0.1

0.0

0.9

   - High-Risk HPV-16

2.2 – 46.7

0.1 – 1.0

0.3

46.6

   - High-Risk HPV-18

2.2 – 46.7

0.0 – 0.1

0.0

4.4

   - Other High-Risk HPV

2.2 – 46.7

0.0 – 0.1

0.0

4.6

From CIN1 to CIN2,3

    

   - Low-Risk HPV

0.4 – 9.3

0.5 – 4.0

0.3

37.0

   - High-Risk HPV-16

2.2 – 46.7

0.5 – 6.0

1.2

282.4

   - High-Risk HPV-18

2.2 – 46.7

0.1 – 4.0

0.8

185.1

   - Other High-Risk HPV

2.2 – 46.7

0.1 – 4.0

0.4

115.1

From CIN2,3 to Local Cancer ||

    

   - Low-Risk HPV

0.0

 

0.0

0.0

   - High-Risk HPV-16

0.6 – 72.2

1.0 – 5.0

1.1

362.0

   - High-Risk HPV-18

0.6 – 72.2

1.0 – 5.0

0.8

362.3

   - Other High-Risk HPV

0.6 – 72.2

1.0 – 3.0

0.7

216.1

Progression within Cancer

    

   - Local Cancer to Regional Cancer

242.4

 

242.4

242.4

   - Regional Cancer to Distant Cancer

303.8

 

303.8

303.8

Regression

    

From CIN2,3 to Normal **

    

   - Low-Risk HPV

11.8 – 42.4

0.5 – 5.0

6.4

201.3

   - High-Risk HPV-16

11.8 – 42.4

0.5 – 5.0

6.5

197.8

   - High-Risk HPV-18

11.8 – 42.4

0.5 – 5.0

6.5

212.0

   - Other High-Risk HPV

11.8 – 42.4

0.5 – 5.0

6.3

213.2

From CIN1 to Normal ††

    

   - Low-Risk HPV

371.7

0.5 – 5.0

229.8

1968.9

   - High-Risk HPV-16

371.7

0.5 – 5.0

193.2

1948.8

   - High-Risk HPV-18

371.7

0.5 – 5.0 §§

193.2

1948.8

   - Other High-Risk HPV

371.7

0.5 – 5.0

310.3

1974.0

From HPV Infection to Normal ††

    

   - Low-Risk HPV

371.7

1.5 – 6.0

1,114.2

2415

   - High-Risk HPV-16

371.7

1.5 – 6.0

589.7

2324.4

   - High-Risk HPV-18

371.7

1.5 – 6.0 §§

589.7

2324.4

   - Other High-Risk HPV

371.7

1.5 – 6.0

778.1

2355.7

Cancer detected by symptoms

    

   - Local Cancer

210.6

 

210.6

210.6

   - Regional Cancer

916.1

 

916.1

916.1

   - Distant Cancer

2302.6

 

2302.6

2302.6

Mortality

    

   - All Cause

0.1 – 297.1

 

0.1

297.1

   - Local Cancer

19.2

 

19.2

19.2

   - Regional Cancer

140.0

 

140.0

140.0

   - Distant Cancer

489.9

 

489.9

489.9

Natural Immunity ‡‡

    

   - Low-Risk HPV

0%

 

0%

0%

   - Other High-Risk HPV

100%

0.0 – 1.0

4%

90%

   - High-Risk HPV-16

100%

0.0 – 1.0 §§

40%

99%

   - High-Risk HPV-18

100%

0.0 – 1.0 §§

26%

100%

  1. * HPV = human papillomavirus; CIN = cervical intraepithelial neoplasia. Values are expressed as yearly rates per 1,000 women, unless otherwise noted.
  2. † Ranges represent age-specific values. Ranges for calibrated values represent the combination multipliers applied to a pre-calibration value or pre-calibration age-specific values, where appropriate.
  3. ‡ Multipliers were constrained to be higher for HPV-16 and HPV-18 than for other high-risk HPV.
  4. § Although pre-calibration rates of progression and the range of multipliers were consistent among all high-risk HPV types, the multipliers were allowed to vary independently by type in the parameter searches.
  5. ¶ A proportion of women with HPV transition directly to CIN2,3.
  6. || Infection with high-risk HPV is considered necessary for progression to invasive cancer
  7. ** 70% of women with CIN2,3 clear their infection, 15% retain detectable HPV infection with CIN1, and 15% retain HPV infection without any CIN.
  8. †† Although pre-calibration rates of regression and the range of multipliers were consistent among all HPV types, the multipliers were allowed to vary independently by type in the parameter searches.
  9. ‡‡ Immunity represents the percentage reduction in risk of subsequent, type-specific infections after a woman has cleared an infection with the same type. Immunity for HPV-16 and HPV-18 are constrained to be higher than immunity for the category of other high-risk types.
  10. §§ Search range conditional on value randomly drawn for another parameter. Regression rates for HPV-16 and HPV-18 associated CIN1 are assumed to be equal. Clearance rates for HPV-16 and HPV-18 are assumed to be equal. Natural immunity for HPV-16 and HPV-18 are both constrained to be higher than immunity to the category of other high-risk types.