the emergence of hiv transmitted resistance in botswana “when will the who detection threshold be exceeded”艾滋病毒传播耐药性的出现在博茨瓦纳u201c当谁检测阈值将超过u201d.pdf
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The Emergence of HIV Transmitted Resistance in
Botswana: ‘‘When Will the WHO Detection Threshold Be
Exceeded?’’
Raffaele Vardavas, Sally Blower*
Semel Institute of Neuroscience and Human Behavior, David Geffen School of Medicine at University of California Los Angeles, Los Angeles, California,
United States of America
Background. The Botswana antiretroviral program began in 2002 and currently treats 42,000 patients, with a goal of treating
85,000 by 2009. The World Health Organization (WHO) has begun to implement a surveillance system for detecting transmitted
resistance that exceeds a threshold of 5%. However, the WHO has not determined when this threshold will be reached. Here
we model the Botswana government’s treatment plan and predict, to 2009, the likely stochastic evolution of transmitted
resistance. Methods. We developed a model of the stochastic evolution of drug-resistant strains and formulated a birth-death
Master equation. We analyzed this equation to obtain an analytical solution of the probabilistic evolutionary trajectory for
transmitted resistance, and used treatment and demographic data from Botswana. We determined the temporal dynamics of
transmitted resistance as a function of: (i) the transmissibility (i.e., fitness) of the drug-resistant strains that may evolve and (ii)
the rate of acquired resistance. Results. Transmitted resistance in Botswana will be unlikely to exceed the WHO’s threshold by
2009 even if the rate of acquired resistance is high and the strains that evolve are half as fit as the wild-type strains. However,
we also found that transmission of drug-resistant strains in Botswana could increase to ,15% by 2009 if the drug-resistant
strains that evolve are as fit as the wild-type strains. Conclusions. Transmitted resistance will only be detected by the WHO
(by 2009) if the strains that evolve are extremely fit and acquired resistance is high. Initially after a treatment program is begun
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