Table 2

Model parameters in the Murray-Salomon basic model
Symbol Definition HIV neg HIV pos
ϵUf spontaneous cure rate for untreated cases 0.2 (0.14–0.25)g
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M1">View MathML</a>f TB death rate for untreated cases in clinical category i
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M2','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M2">View MathML</a> 0.12 (0.075–0.20a) 0.45 (0.3–0.6a)
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M3','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M3">View MathML</a>, <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M4','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M4">View MathML</a> <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M5','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M5">View MathML</a>b <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M6','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M6">View MathML</a>b
gi,k proportion of treated cases in clinical category i and treatment category k
g1,1 0.5 d
g2,1 0.28 d
g3,1 d
gi,2 gi,2=1−gi,1e
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M7','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M7">View MathML</a>f cure rate for treated case in treatment category k
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M8','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M8">View MathML</a> 0.8
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M9','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M9">View MathML</a> 0.5c
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M10','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M10">View MathML</a>f TB death rate for treated cases in clinical category i and treatment category k
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M11','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M11">View MathML</a> 0.075c 0.16c
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M12','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M12">View MathML</a> 0.12c 0.24c
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M13','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M13">View MathML</a>, <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M14','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M14">View MathML</a> <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M15','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M15">View MathML</a>b <a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M16','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M16">View MathML</a>b
rU proportion of spontaneously recovered cases entering the slow relapse category 0.009c
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M17','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M17">View MathML</a> proportion of recovered cases from treatment category k entering the slow relapse category
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M18','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M18">View MathML</a> 0.0096c
<a onClick="popup('http://www.biomedcentral.com/1471-2458/12/1091/mathml/M19','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1471-2458/12/1091/mathml/M19">View MathML</a> 0.0094c
ρFf fast relapse rate 2c 3
ρSf slow relapse rate 0.001 (5–15×10−4a)
γf rate of HIV infection 0.075 (0.011–0.95)h

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.

aFootnote 8, p.24, [18].

bFootnote e, Table A5, p.63, [18].

cTable A5, p.63, [18].

dFootnote , Table A5, p.63, and Figure A4, p.56 [18].

eFootnote d, Table A5, p.63, [18].

fRate: per person per year.

g[33,34]. Other estimate: 0.05–0.15a.

h[1].

Ben-Haim et al.

Ben-Haim et al. BMC Public Health 2012 12:1091   doi:10.1186/1471-2458-12-1091

Open Data