论文标题
自噬中p62-泛素聚集体的数学模型
A mathematical model of p62-ubiquitin aggregates in autophagy
论文作者
论文摘要
蛋白质p62的低聚物对泛素化货物的聚集是细胞自噬的重要预备步骤。在这项工作中，得出和分析了这些异质骨料的动力学的数学模型。确定了三个不同的参数状态，其中骨料不稳定或它们的大小以有限的值饱和，或者它们的大小无限期地增长，只要自由粒子丰富。可以明确计算这些制度的边界以及第二种情况下的有限大小。也可以通过形式的渐近方法显式将第三种情况（二次二次）增长。定性结果通过数值模拟说明。与最近的实验结果的比较允许该模型的部分参数化。
Aggregation of ubiquitinated cargo by oligomers of the protein p62 is an important preparatory step in cellular autophagy. In this work a mathematical model for the dynamics of these heterogeneous aggregates in the form of a system of ordinary differential equations is derived and analyzed. Three different parameter regimes are identified, where either aggregates are unstable, or their size saturates at a finite value, or their size grows indefinitely as long as free particles are abundant. The boundaries of these regimes as well as the finite size in the second case can be computed explicitly. The growth in the third case (quadratic in time) can also be made explicit by formal asymptotic methods. The qualitative results are illustrated by numerical simulations. A comparison with recent experimental results permits a partial parametrization of the model.
