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Table 2 Model parameters in the Murray-Salomon basic model

From: Info-gap management of public health Policy for TB with HIV-prevalence and epidemiological uncertainty

Symbol

Definition

HIV neg

HIV pos

ϵ U f

spontaneous cure rate for untreated cases

0.2 (0.14–0.25)g

 

μ U i f

TB death rate for untreated cases in clinical category i

  

μ U 1

 

0.12 (0.075–0.20a)

0.45 (0.3–0.6a)

μ U 2 , μ U 3

 

0.7 μ U 1 b

0.7 μ U 1 b

g i,k

proportion of treated cases in clinical category i and treatment category k

  

g 1,1

 

0.5 d

 

g 2,1

 

0.28 d

 

g 3,1

 

d

 

g i,2

 

g i,2=1−g i,1 e

 

ϵ T k f

cure rate for treated case in treatment category k

  

ϵ T 1

 

0.8

 

ϵ T 2

 

0.5c

 

μ T i , k f

TB death rate for treated cases in clinical category i and treatment category k

  

μ T 1 , 1

 

0.075c

0.16c

μ T 1 , 2

 

0.12c

0.24c

μ T 2 , k , μ T 3 , k

 

0.7 μ T 1 , k b

0.7 μ T 1 , k b

r U

proportion of spontaneously recovered cases entering the slow relapse category

0.009c

 

r T k

proportion of recovered cases from treatment category k entering the slow relapse category

  

r T 1

 

0.0096c

 

r T 2

 

0.0094c

 

ρ F f

fast relapse rate

2c

3

ρ S f

slow relapse rate

0.001 (5–15×10−4 a)

 

γ f

rate of HIV infection

0.075 (0.011–0.95)h

 
  1. Model parameters in the Murray-Salomon basic model, Table Two, p.42, in ref. [18], except for K, L, Y and N which are defined in footnote 2 on p.21 of [18]. Where a value is specified only for HIV-negative, the same value is used for HIV-positive.
  2. aFootnote 8, p.24, [18].
  3. bFootnote e, Table A5, p.63, [18].
  4. cTable A5, p.63, [18].
  5. dFootnote , Table A5, p.63, and Figure A4, p.56 [18].
  6. eFootnote d, Table A5, p.63, [18].
  7. fRate: per person per year.
  8. g[33, 34]. Other estimate: 0.05–0.15a.
  9. h[1].