论文标题
C秀丽隐杆线虫L1聚集的Keller-Segel模型
A Keller-Segel model for C elegans L1 aggregation
论文作者
论文摘要
我们描述了一个数学模型，用于饥饿的第一阶段C秀丽隐杆线虫幼虫（L1S）的聚集。我们建议饥饿的L1s对两个不稳定扩散的化学信号，一个短距离吸引剂和更长的驱虫剂产生和反应。该模型采用三个耦合部分微分方程的数学形式，一个耦合的部分微分方程描述了蠕虫的运动，每种化学信号的运动。这些方程的数值解产生了类似于实验中观察到的蠕虫聚集体的聚集体模式。我们还描述了感觉受体基因SRH-2的鉴定，该基因的表达在促进L1聚集的条件下诱导。 SRH-2基因已被淘汰的蠕虫不规则形状的聚集体。我们的模型表明，这种表型可以通过突变体蠕虫比野生型更快的速度来解释。
We describe a mathematical model for the aggregation of starved first-stage C elegans larvae (L1s). We propose that starved L1s produce and respond chemotactically to two labile diffusible chemical signals, a short-range attractant and a longer range repellent. This model takes the mathematical form of three coupled partial differential equations, one that describes the movement of the worms and one for each of the chemical signals. Numerical solution of these equations produced a pattern of aggregates that resembled that of worm aggregates observed in experiments. We also describe the identification of a sensory receptor gene, srh-2, whose expression is induced under conditions that promote L1 aggregation. Worms whose srh-2 gene has been knocked out form irregularly shaped aggregates. Our model suggests this phenotype may be explained by the mutant worms slowing their movement more quickly than the wild type.
