Skip to main content

Table 2 Markov model probabilities input and sources

From: Rising challenge of multidrug-resistant tuberculosis in China: a predictive study using Markov modeling

 

Description/Explanation

Value

Source

a

Probability of dying among Uninfected or LTBI

0.007

National Bureau of Statistics of China [19]

b

Probability of acquiring DS LTBI from being Uninfected, varies with DS-TB+ prevalence. b = (t1n1 + t2n2)/N0, where t1 is the number of ‘DS-TB+ treated’, n1 is the number of infections each ‘DS-TB+ treated’ person causes, t2 is representing ‘DS-TB+ untreated’ cases, n2 is the number of infections each ‘DS-TB+ untreated’ person causes, and N0 is the total number of the ‘Uninfected’.

Initial value is 0.003

Assumed based on finding from WHO [1], Huang LQ [20], and Sun CF [21]

c

Probability of acquiring MDR LTBI from being Uninfected, varies with MDR-TB prevalence. c = (t3n3 + t4n4)/N0, where t3 is the number of ‘MDR-TB treated’, n3 is the number of infections each ‘MDR-TB treated’ person causes, t4 is representing ‘MDR-TB untreated’ cases, n4 is the number of infections each ‘MDR-TB untreated’ person causes, and N0 is the total number of the ‘Uninfected’.

Initial value is 0.0005

Assumed based on finding from WHO [1], Huang LQ [20], and Sun CF [21]

d

Probability of clearing MTB infection for DS LTBI persons

0.05

Xu KJ [22]

e

Probability of clearing MTB infection for MDR LTBI persons

0.05

Xu KJ [22]

f

Probability of acquiring active DS-TB+ from LTBI

0.004

Assumed based on finding from Gao L [17], Mandal P [23], and Xu J [24]

g

Probability of acquiring active MDR-TB from LTBI

0.004

Assumed based on finding from Gao L [17], Mandal P [23], and Xu J [24]

h

Probability of acquiring treatment for DS-TB+

0.87

WHO [1]

i

Probability of acquiring treatment for MDR-TB

0.10

WHO [1]

j

Probability of treatment failure and loss to follow up for DS-TB+

0.04

WHO tuberculosis database [25]

k

Probability of treatment failure and loss to follow up for MDR-TB

0.13

WHO tuberculosis database [25]

l

Probability of dying among untreated DS-TB+

0.10

Assumed based on finding from WHO [1]

m

Probability of dying among untreated MDR-TB

0.40

Assumed based on finding from WHO [1]

n

Probability of dying among treated DS-TB+

0.01

WHO tuberculosis database [25]

o

Probability of dying among treated MDR-TB

0.04

WHO tuberculosis database [25]

p

Probability of treatment success for DS-TB+

0.93

WHO tuberculosis database [25]

q

Probability of treatment success for MDR-TB

0.41

WHO tuberculosis database [25]

r

Probability of acquired drug resistance from DS-TB+ to MDR-TB

0.014

WHO tuberculosis database [25]

  1. LTBI latent tuberculosis infection; DS drug-susceptible; MDR multidrug-resistant; TB tuberculosis; MTB Mycobacterium tuberculosis; DS-TB+ bacteriologically confirmed drug-susceptible tuberculosis; MDR-TB multidrug-resistant tuberculosis