Sindi Suzanne S, Olofsson Peter
Department of Mathematics, Trinity University.
Communicated by Peter Jagers and Christine Jacob.
Math Popul Stud. 2013;20(1):1-13. doi: 10.1080/08898480.2013.748566. Epub 2013 Jan 27.
The infectious agent of many neurodegenerative disorders is thought to be aggregates of prion protein, which are transmitted between cells. Recent work in yeast supports this hypothesis, but suggests that only aggregates below a critical size are transmitted efficiently. The total number of transmissible aggregates in a typical cell is a key determinant of strain infectivity. In a discrete-time branching process model of a yeast colony with prions, prion aggregates increase in size according to a Poisson process and only aggregates below a threshold size are transmitted during cell division. The total number of cells with aggregates in a growing population of yeast is expressed.
许多神经退行性疾病的致病因子被认为是朊病毒蛋白聚集体,它们在细胞间传播。酵母中的最新研究支持了这一假说,但表明只有低于临界大小的聚集体才能有效传播。典型细胞中可传播聚集体的总数是毒株传染性的关键决定因素。在一个含有朊病毒的酵母菌落的离散时间分支过程模型中,朊病毒聚集体的大小根据泊松过程增加,并且在细胞分裂期间只有低于阈值大小的聚集体才会传播。给出了不断增长的酵母群体中含有聚集体的细胞总数。