细胞群体中的寄生虫感染：分配核的作用
Parasite infection in a cell population: role of the partitioning kernel
AI总结：
本文建立受寄生虫感染的细胞群体模型，考察非对称寄生虫分配及携带量相关死亡机制，研究群体存活与平均寄生虫负荷，揭示分裂分配核的关键作用。
摘要：
我们考虑一个遭受寄生虫感染的细胞群体。细胞以恒定速率分裂，并在分裂时将其所含寄生虫分配给两个子细胞。这种分配可能是非对称的，其规律可能取决于母细胞中寄生虫的数量。细胞以可能取决于其所携带寄生虫数量的速率死亡，并且当该数量激增时也会被杀死。我们研究细胞群体的存活以及细胞中寄生虫的平均数量，并重点关注分裂时寄生虫分配核的作用。
英文摘要：
We consider a cell population subject to a parasite infection. Cells divide at a constant rate and, at division, share the parasites they contain between their two daughter cells. The sharing may be asymmetrical, and its law may depend on the quantity of parasites in the mother. Cells die at a rate which may depend on the quantity of parasites they carry, and are also killed when this quantity explodes. We study the survival of the cell population as well as the mean quantity of parasites in the cells, and focus on the role of the parasites partitioning kernel at division.
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