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Glaziou edited subsection_Disaggregation_of_incidence_subsubsection__.tex
over 8 years ago
Commit id: 005e2eb97826cf07d0ce797d02f5781d84e3dfdd
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An assumption is made that the risk of TB infection among people living with HIV with CD4 count > 500 μL is proportional to F (it was assumed that it was higher by a factor of 2.5).\cite{15609223} For each $100\mu l$ CD4 decline in the remaining categories (350-499, 250-349, 200-249, 100-199, 50-99 CD4 cells/μL, and CD4 count less than 50 cells μL), the risk of infection is represented as:
$F(c<500) =
F(c>500)∙p(1)∙p(2)dc$, F(c>500) p(1) p(2)dc$,
where $p(1)$ is a parameter that is used to recognize that people living with HIV who have high CD4 counts could be at higher risk of TB infection relative to those who are HIV-negative, and $p(2)$ controls the exponential increase in RR that occurs with CD4 decline. $dc$ is the number of $100\mu l$ CD4 decline associated with the midpoint of each CD4 category relative to 500: $dc= (3.0, 4.4, 8.6, 12.9, 19.2, 28.6, 37.3)$ for the six CD4 categories.