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Table 1 Model parameters

From: Screen more or screen more often? Using mathematical models to inform syphilis control strategies

Parameter

Details

Value

Distribution

Source

Type

Population characteristics

    

Population size

 

2,000

  

Time spent in model (years) (min, max, mode)

 

1, 34, 17

Triangular

[27]; assumption

Proportion of MSM who are HIV positive

 

0.2

 

[29]; assumption

Syphilis natural history

    

Probability of transmission (per act) (min, max, mode)

Penile-anal/Penile-oral

0.01, 0.05, 0.014

Triangular

[26]; assumption

Incubation period (days)

 

21-28

Uniform discrete

[30]

Infection/infectious period (days)

   

[16, 31, 32]

 

Primary

45-60

Uniform discrete

 
 

Secondary

100-140

Uniform discrete

 
 

Early latent*

365

  
 

Recurrent

90

  
 

Late Latent*

Until end of life in model

  

Probability of recurrent syphilis

 

0.25

 

[33]

Duration of protective immunity following

   

[21, 34, 35]

treatment (years)

 

Primary or secondary syphilis

0

  
 

Latent syphilis

5

  

Partnership characteristics

    

Number of partners in past 6 months (proportion of population in each category)

   

[27]

 

1

0.28

  
 

2-9

0.48

  
 

10-29

0.15

  
 

30-75

0.09

  

Maximum number of partnersin past 6 months (by partner number category) (min, max, mode)

    
 

1

1

 

Assumption

 

2-9

2,9,8

Triangular

 
 

10-29

10,29,25

Triangular

 
 

30-75

30,75,50

Triangular

 

Duration of partnership (days) (min, max, mode)

   

[27]; Assumption

 

Casual

1,2,1

Triangular

 
 

Regular

7,3000,365

Triangular

 

Behavioural characteristics

    

Frequency of anal sex (per day)

   

[26]

 

Casual partnership

0.7

  
 

Regular partnership

0.3

  

Frequency of oral sex (per day)

   

[26]

 

Casual partnership

1

  
 

Regular partnership

0.3

  

Probability of condom use (anal sex)

   

[2, 27]

 

HIV-concordant

0.5

  
 

HIV-discordant

0.8

  

Condom efficacy

Assume condom use for anal intercourse only

0.9

 

[36]

Test and Treatment characteristics

    

Probability of seeking medical care for symptoms

   

[19, 37]

 

Primary

0.25

  
 

Secondary

0.60

  

Time to treat (days)

Primary

3-56

Uniform

[38]; assumption

 

Secondary

1-57

Uniform

 

Proportionof population screened routinely for

   

[19, 24, 39, 40];

syphilis

assumption

 

HIV positive

0.5

  
 

HIV negative

0.2

  

Test sensitivity

Treponemal-specific screening test

0.95

 

[41, 42]

Probability of partner notification

   

Assumption

 

Casual partner

0.1

  
 

Regular partner

0.6

  

Trace-back period for partner notification

   

[43]

(months)

 

Primary

3

  
 

Secondary

6

  
 

Early latent

12

  

Time from index case identification to screening of named partner(s) (days)

 

3-21

 

Assumption

  1. *Not infectious.