Koopman J S, Jacquez J A, Welch G W, Simon C P, Foxman B, Pollock S M, Barth-Jones D, Adams A L, Lange K
Department of Epidemiology, University of Michigan, Ann Arbor 48109-2029, U.S.A.
J Acquir Immune Defic Syndr Hum Retrovirol. 1997 Mar 1;14(3):249-58. doi: 10.1097/00042560-199703010-00009.
The combination of two factors gives early HIV infection an especially strong influence on transmission dynamics: (a) increased transmission probabilities and (b) increased transmission potential of partners infected during this period. Most attention has been focused on the first factor because it fits the way we usually think about risk factors affecting individuals. The second factor acts not on individuals, but across chains of transmission. It is missed by models with constant partnership formation rates over an individual's life or with random mixing. It cannot be assessed from available data collected from individuals. Its assessment requires data from both individuals in a partnership. We demonstrate that this second effect can be so strong that early infection can dominate transmission dynamics even when transmission probabilities are only modestly increased. This second effect is not directly parameterized in our models but arises from two realistic types of temporal variation in partnership formation: (a) Partnership formation rates vary by age with preferential partnership formation in one's own age group, and (b) individuals of any age can experience transient periods of high-risk partnership formation. In a model with only the age-related effect, early infection is observed to dominate transmission dynamics when 20% of transmissible virus is allocated to the first 6 weeks of infection, 7% to middle infection, and 73% to late infection. This domination occurs both early in the course of an epidemic and later when endemic infection levels have been reached. When the second effect is added, early infection is seen to dominate transmission in a model allocating 10% of transmissible virus to the first 6 months, 40% to middle infection, and 50% to late infection. In this model, transmission probabilities during early infection are only 4.17 times those of middle infection and half those of late-stage infection.
两个因素的结合使得早期HIV感染对传播动态产生特别强烈的影响:(a)传播概率增加,以及(b)在此期间感染的伴侣的传播潜力增加。大多数注意力都集中在第一个因素上,因为它符合我们通常思考影响个体的风险因素的方式。第二个因素不是作用于个体,而是作用于传播链。在个体生命中伙伴关系形成率恒定或随机混合的模型中会忽略这一因素。无法从从个体收集的现有数据中进行评估。对其评估需要来自伴侣双方的数据。我们证明,即使传播概率只是适度增加,这种第二个效应也可能非常强烈,以至于早期感染可以主导传播动态。在我们的模型中,这个第二个效应没有直接参数化,而是源于伙伴关系形成中两种现实的时间变化类型:(a)伙伴关系形成率随年龄变化,在自己的年龄组中优先形成伙伴关系,以及(b)任何年龄的个体都可能经历高风险伙伴关系形成的短暂时期。在一个仅具有年龄相关效应的模型中,当将20%的可传播病毒分配到感染的前6周,7%分配到中期感染,73%分配到晚期感染时,观察到早期感染主导传播动态。这种主导作用在疫情早期以及后来达到地方流行感染水平时都会出现。当加入第二个效应时,在一个将10%的可传播病毒分配到前6个月,40%分配到中期感染,50%分配到晚期感染的模型中,早期感染被视为主导传播。在这个模型中,早期感染期间的传播概率仅为中期感染的4.17倍,为晚期感染的一半。