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Table 1 Model parameters, values, ranges, and sources

From: Stochastic agent-based modeling of tuberculosis in Canadian Indigenous communities

Parameter

Details

Value

Source

Tuberculosis Natural History Parameters

Probability of transmission (per contact)

 

0.1

Abu-Raddad [12]

Number of respiratory contacts (per year)

 

40–1000

Estimated by model calibration

Proportion of transmission occurring in community

Varied

0.01–0.15

Assumption

Proportion of new infections entering latent fast state (active disease in <5 years)

  

Abu-Raddad [12]

 

Adult

0.15

 
 

Child

0.05

 

Progression to active disease (per year)

Fast progressor

1.5

Abu-Raddad [12]

Progression to active disease (lifetime probability, rate dependent on age at infection)

Slow progressor

0.05

Abu-Raddad [12]

Proportion of active cases with extrapulmonary disease

  

Kivalliq surveillance data

 

Adult

0.11

 
 

Child

0.042

 

Proportion of active cases with high transmissibility pulmonary disease

  

Kivalliq surveillance data

 

Adult

0.3

 
 

Child

0.043

 

Proportion of active cases with low transmissibility pulmonary disease

  

Kivalliq surveillance data

 

Adult

0.59

 
 

Child

0.915

 

Infectivity (relative to high transmissibility TB)

  

Abu-Raddad [12]

 

Low transmissibility TB

0.25

 
 

Extrapulmonary TB

0

 

Spontaneous recovery rate (per year)

 

0.1

Abu-Raddad [12]

Relative susceptibility to re-infection

Resusceptible individuals

0.6

Vynnycky [33]

Probability of TB-attributable mortality with active disease

 

0.0094

Kivalliq surveillance data

Population and Community Characteristics

Number of communities

 

7

Census [18]

Initial number of households

 

1890

Census [19]

Average household size

 

4

Census [18]

Number of new households added (per year)

 

30

Census [18]

Proportion of population <15 years of age

 

0.35

Census [18]

Initial number of individuals diagnosed and on treatment

 

2

Kivalliq surveillance data

Initial number of individuals in different states (remaining are susceptible)

  

Estimated by model calibration

 

Undiagnosed LTBI

10–2000

 
 

Undiagnosed active TB disease

1–50

 
 

Resusceptible (following treatment or spontaneous recovery)

50–3000

 

Birth rate (per year)

Females aged 15–44

0.1

Nunavut Bureau of Statistics [21]

Mortality rate

Age-specific, estimated from Nunavut life tables

 

Statistics Canada [20]

Screening and Treatment Parameters

Time to diagnosis for active TB disease

  

Tian [27]

 

High

0.5

 
 

Low

0.64

 
 

Extrapulmonary

0.64

 

Time in treatment (years)

Active TB disease

0.6

Kivalliq surveillance data

Probability lost to follow-up while on treatment for active TB disease

  

Kivalliq surveillance data

 

Adult

0.06

 
 

Child

0.04

 

Passive population screening for LTBI (per year)

 

0.004

TAIMA TB report [34]

Average time to LTBI treatment initiation for cases identified by population screening (months)

 

1

Assumption

Average time to completion of contact tracing (months)

 

2

Tian [13]

Time on treatment for LTBI (years)

 

0.75

Canadian TB Standards [24]

Probability LTBI treatment is completed

 

0.7

Alvarez [5]