Bulletin of the World Health Organization

The persistence of tuberculosis in the age of DOTS: reassessing the effect of case detection

David W Dowdy & Richard E Chaisson

Volume 87, Number 4, April 2009, 296-304

Table 1. Parameter values for a compartmental difference-equation model of a TB epidemic1

Parameter Value Sensitivity range Reference
TB dynamics
Secondary TB infections per smear-positive person-yeara (No.) 11.9 6–15
Proportion of incident TB cases that are smear-positive
If HIV– 0.45 0.3–0.6 16
If HIV+ 0.35 0.2–0.5 16
Infectivity of patients with pulmonary smear-negative TB (relative to that of smear‑positive TB patients) 0.22 0.1–0.3 17
Proportion of smear-negative TB cases that are extrapulmonary (i.e. non-infectious) 0.33 0.2–0.5 18
Proportion of new TB infections progressing to active TB within 1 year
If HIV– 0.14 0.05–0.25 19
If HIV+ 0.25 0.1–0.4 20
Efficacy of latent infection in preventing reinfection
If HIV– 0.72 0.6–1.0 21
If HIV+ 0.25 0–0.5 22,23
Yearly rate of endogenous reactivation (%)
If HIV– 0.11 0.05–0.25 24
If HIV+ 4.86 2.0–10.0 25
Yearly spontaneous conversions from smear-negative to smear-positive (%) 2.0 1.0–3.0 24

Mortality
Mean life expectancy without HIV infection (years)b 55 45–70 26
Mean life expectancy after HIV infection (years) 11 8–14 27
Untreated TB patients who will die (%)
If HIV–, smear-positive 50 40–70 19,28
If HIV+ 100 80–100 16
Mean duration of untreated TB disease (years)
If HIV–, smear-positive 2.0 1.0–3.0 16,28
If HIV+ 1.0 0.5–2.0 29
Mortality in smear-negative TB patients (relative to smear-positive TB patients)
If HIV– 0.33 0.2–0.4 16
If HIV+ 1.0 0.75–1.25 16
TB diagnosis and treatment
Mean duration of successful diagnostic attempt (weeks)c 5 2–10
Diagnostic sensitivity for smear-negative TB patients (relative to that for smear-positive TB patients)d 0.67 0.5–1.0 30
Treatment success rate 0.85 0.7–0.9 Assumed
Proportion of TB patients registered as deceasede 0.07 0.02–0.10 8
Annual relapse rate among patients treated unsuccessfullyf 0.065 0.05–0.15 31

CDR, case detection rate; TB, tuberculosis.
a The source gives an annual rate of TB infection of 2.0% in a population representative of sub-Saharan Africa (51% CDR for smear-positive TB, 45% overall CDR, and 22% HIV infection prevalence among incident TB cases).
18
b Representative of the projected South African population in 2007.
c The source assumes 3 weeks from presentation to diagnosis
32 plus 2 weeks of therapy to render the patient non-infectious and at baseline mortality risk.
33
d The source assumes that a sputum smear is obtained from 63% of suspected TB cases and that others receive a combination of chest X-ray (with 76% sensitivity) and a trial of broad-spectrum antibiotics (with 60% sensitivity).
e The source gives data for the WHO African Region in 2006.
f Calculated in the source as the rate of TB recurrence after default, minus the rate of confirmed reinfection, in two urban populations near Cape Town, South Africa.