双峰性、朊病毒聚集体感染性和应变现象的预测
Bimodality, prion aggregates infectivity and prediction of strain phenomenon
摘要：
我们考虑一个模型的聚合（碎片化）过程中参与传染性朊病毒的自我复制和研究其动力学和非零稳态。我们讨论几个问题。首先，我们给出了导致PrPsc聚集体呈现双峰分布的大小重新分配的条件，如最近的朊病毒聚集体分布的实验研究所示。其次，我们证明了稳定性结果，这种稳定状态的一般系数减少到一个系统的微分方程是不可能的。我们使用的对偶方法的基础上，最近的想法开发的人口模型。这些结果强调了淀粉样蛋白前体产生速率在促进淀粉样蛋白生成性疾病中的潜在影响。最后，我们数值研究了不同参数的模型对PrPsc积累动力学的影响，目的是研究朊病毒菌株的具体特征。
英文摘要：
We consider a model for the polymerization (fragmentation) process involved in infectious prion self-replication and study both its dynamics and non-zero steady state. We address several issues. Firstly, we give conditions leading to size repartitions of PrPsc aggregates that exhibit bimodal distributions, as indicated by recent experimental studies of prion aggregates distribution. Secondly, we show stability results for this steady state for general coefficients where reduction to a system of differential equations is not possible. We use a duality method based on recent ideas developed for population models. These results underline the potential influence of the amyloid precursor production rate in promoting amyloidogenic diseases. Finally, we numerically investigate the influence of different parameters of the model on PrPsc accumulation kinetics, in the aim to study specific features of prion strains.
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