论文标题
影响细胞种群死亡和分裂率的寄生虫的传播
Spread of parasites affecting death and division rates in a cell population
论文作者
论文摘要
我们引入了一类分支马尔可夫过程，用于在细胞群体中建模寄生虫感染。每个细胞都包含一定数量的寄生虫，这些寄生虫会随着正跳的扩散而演变。此数量的寄生虫的漂移，扩散函数和正跳速取决于其当前值。细胞的分裂速率还取决于它们所含的寄生虫的数量。在除法中，一个细胞生了两个子细胞，并在它们之间共享其寄生虫。细胞也可能死亡，这可能取决于它们所含的寄生虫的数量。我们研究寄生虫感染的长期行为。
We introduce a general class of branching Markov processes for the modelling of a parasite infection in a cell population. Each cell contains a quantity of parasites which evolves as a diffusion with positive jumps. The drift, diffusive function and positive jump rate of this quantity of parasites depend on its current value. The division rate of the cells also depends on the quantity of parasites they contain. At division, a cell gives birth to two daughter cells and shares its parasites between them. Cells may also die, at a rate which may depend on the quantity of parasites they contain. We study the long-time behaviour of the parasite infection.
