Martcheva Maia, Lenhart Suzanne, Eda Shigetoshi, Klinkenberg Don, Momotani Eiichi, Stabel Judy
Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, FL, 32611, USA.
Department of Mathematics, University of Tennessee, Knoxville, TN, 37996, USA.
Vet Res. 2015 Jun 19;46(1):69. doi: 10.1186/s13567-015-0190-3.
To better understand the mechanisms involved in the dynamics of Johne's disease in dairy cattle, this paper illustrates a novel way to link a within-host model for Mycobacterium avium ssp. paratuberculosis with an epidemiological model. The underlying variable in the within-host model is the time since infection. Two compartments, infected macrophages and T cells, of the within-host model feed into the epidemiological model through the direct transmission rate, disease-induced mortality rate, the vertical transmission rate, and the shedding of MAP into the environment. The epidemiological reproduction number depends on the within-host bacteria load in a complex way, exhibiting multiple peaks. A possible mechanism to account for the switch in shedding patterns of the bacteria in this disease is included in the within-host model, and its effect can be seen in the epidemiological reproduction model.
为了更好地理解奶牛副结核病动态变化所涉及的机制,本文阐述了一种将鸟分枝杆菌副结核亚种的宿主内模型与流行病学模型相联系的新方法。宿主内模型的潜在变量是感染后的时间。宿主内模型的两个区室,即被感染的巨噬细胞和T细胞,通过直接传播率、疾病诱导死亡率、垂直传播率以及副结核分枝杆菌向环境中的排放,输入到流行病学模型中。流行病学繁殖数以复杂的方式依赖于宿主内细菌载量,呈现出多个峰值。宿主内模型中纳入了一种可能解释该疾病中细菌排放模式转变的机制,其效应可在流行病学繁殖模型中看到。