Velasco-Hernandez J X, Gershengorn H B, Blower S M
Departamento de Matemáticas, UAM-Iztapalapa and PIMAYC Instituto Mexicano del Petroleo, Atepehuacan, San Bartolo, Mexico.
Lancet Infect Dis. 2002 Aug;2(8):487-93. doi: 10.1016/s1473-3099(02)00346-8.
Current combination antiretroviral therapies (ARV) are widely used to treat HIV. However drug-resistant strains of HIV have quickly evolved, and the level of risky behaviour has increased in certain communities. Hence, currently the overall impact that ARV will have on HIV epidemics remains unclear. We have used a mathematical model to predict whether the current therapies: are reducing the severity of HIV epidemics, and could even lead to eradication of a high-prevalence (30%) epidemic. We quantified the epidemic-level impact of ARV on reducing epidemic severity by deriving the basic reproduction number (R(0)(ARV)). R(0)(ARV) specifies the average number of new infections that one HIV case generates during his lifetime when ARV is available and ARV-resistant strains can evolve and be transmitted; if R(0)(ARV) is less than one epidemic eradication is possible. We estimated for the HIV epidemic in the San Francisco gay community (using uncertainty analysis), the present day value of R(0)(ARV), and the probability of epidemic eradication. We assumed a high usage of ARV and three behavioural assumptions: that risky sex would (1) decrease, (2) remain stable, or (3) increase. Our estimated values of R(0)(ARV) (median and interquartile range [IQR]) were: 0.90 (0.85-0.96) if risky sex decreases, 1.0 (0.94-1.05) if risky sex remains stable, and 1.16 (1.05-1.28) if risky sex increases. R(0)(ARV) decreased as the fraction of cases receiving treatment increased. The probability of epidemic eradication is high (p=0.85) if risky sex decreases, moderate (p=0.5) if levels of risky sex remain stable, and low (p=0.13) if risky sex increases. We conclude that ARV can function as an effective HIV-prevention tool, even with high levels of drug resistance and risky sex. Furthermore, even a high-prevalence HIV epidemic could be eradicated using current ARV.
目前,联合抗逆转录病毒疗法(ARV)被广泛用于治疗艾滋病病毒(HIV)。然而,HIV耐药毒株迅速演变,某些社区的危险行为水平有所上升。因此,目前ARV对HIV流行的总体影响仍不明确。我们使用了一个数学模型来预测当前疗法是否:正在降低HIV流行的严重程度,甚至能否根除高流行率(30%)的疫情。我们通过推导基本繁殖数(R(0)(ARV))来量化ARV对降低流行严重程度的流行水平影响。R(0)(ARV)规定了在有ARV且ARV耐药毒株能够演变和传播的情况下,一名HIV感染者在其一生中产生的新感染的平均数量;如果R(0)(ARV)小于1,则有可能根除疫情。我们(使用不确定性分析)估计了旧金山同性恋社区HIV疫情的R(0)(ARV)当前值以及疫情根除的概率。我们假设ARV的高使用率和三种行为假设:即危险性行为将(1)减少、(2)保持稳定或(3)增加。我们估计的R(0)(ARV)值(中位数和四分位间距[IQR])为:如果危险性行为减少,R(0)(ARV)为0.90(0.85 - 0.96);如果危险性行为保持稳定,R(0)(ARV)为1.0(0.94 - 1.05);如果危险性行为增加,R(0)(ARV)为1.16(1.05 - 1.28)。R(0)(ARV)随着接受治疗病例的比例增加而降低。如果危险性行为减少,疫情根除的概率很高(p = 0.85);如果危险性行为水平保持稳定,概率为中等(p = 0.5);如果危险性行为增加,概率很低(p = 0.13)。我们得出结论,即使存在高水平的耐药性和危险行为,ARV也可以作为一种有效的HIV预防工具。此外,使用当前的ARV甚至可以根除高流行率的HIV疫情。