|Model parameters in the Murray-Salomon basic model|
|Symbol||Definition||HIV neg||HIV pos|
|Birth rate g||births/year/person||0.03c||0c,h|
|T||births per year = birth rate×Nc|
|Kk||# respiratory contacts with infected/person/year|
|Lk||probability that respir. contact with infectious source leads to infection|
|Yk||# infectious cases in population|
|μg||non-TB death rate||0.009c||0.05c|
|p||proportion of new infections entering slow breakdown||0.9 (0.85–0.95)a||0.4 (0.3–0.5a)|
|βFg||fast breakdown rate||2c||3|
|βSg||slow breakdown rate||0.001 (5–15×10−4a)||0.075 (0.05–0.10a)|
|χg||rate of application of INH to infected individuals||0.75 (ℓ)|
|ν||protection from superinfection conferred by primary infection||0.75 (0.5–1a)|
|w||short-term INH effectiveness||0.7|
|h||long-term INH effectiveness||0.7|
|di,j||proportion of pre-diagnosed cases in clinical category i entering diagnosis category j|
|d1,1||0.45 (0.4–0.5)j||0.35 (0.3–0.4)j, e|
|d2,1||0.55 (0.5–0.6)||0.65 (0.6–0.7) e|
|si||proportion of new cases in clinical category i|
|s1, s2||proportion of new cases in clinical category i||0.45 (0.4–0.5a)|
|s3||proportion of new cases in clinical category i||s3=1−s1−s2d|
|δjg||diagnosis rate for category j||0.6 ℓ||0.6 ℓ|
|σg||smear conversion rate||0.03 c|
Model parameters in the Murray-Salomon basic model, Table Two, p.42, in ref. , except for K, L, Y and N which are defined in footnote 2 on p.21 of . Where a value is specified only for HIV-negative, the same value is used for HIV-positive.
aFootnote 8, p.24, .
bFootnote e, Table A5, p.63, .
cTable A5, p.63, .
dFootnote c, Table A5, p.63, .
eFootnote †, Table A5, p.63, and Figure A5, p.57 .
fFootnote b, Table A5, p.63,.
gRate: per person per year. In Botswana the average is 477 cases per year per 100,000 people. 62% of them are HIV infected.
hDepends on HIV prevalence. In areas with HIV and without preventive treatment, 25% of babies born from HIV mothers are infected.
j[Dye C, Scheele S, Dolin P, Pathania V, Raviglione MC. Consensus statement. Global burden of tuberculosis: estimated incidence, prevalence, and mortality by country. WHO Global Surveillance and Monitoring Project. JAMA. 1999 Aug 18;282(7):677–86.].
kNot needed since λis a primary datum.
mCan also be treated as a decision variable.
Ben-Haim et al.
Ben-Haim et al. BMC Public Health 2012 12:1091 doi:10.1186/1471-2458-12-1091