论文标题
细胞自噬中p62-泛素聚集模型的长期行为
Long-time behaviour of a model for p62-ubiquitin aggregation in cellular autophagy
论文作者
论文摘要
分析了最近配制的ODE模型的定性行为，用于异基骨动力学。聚集体包含两种类型的颗粒，低聚物和交联。动机是细胞自噬的准备步骤，即在存在泛素交联的存在下蛋白p62的低聚物的聚集。明确的计算，形式的渐近学和数值模拟的结合导致了对分叉行为的猜想，其某些方面在这项工作中被严格证明。特别是，零状态的稳定性通过正规化转换和爆破技术的结合来分析模型具有平滑度不足的稳定性。另一方面，在不同的参数状态下，庞加莱的紧凑型表明了多项式生长的溶液的存在，并结合了奇异的扰动分析。
The qualitative behavior of a recently formulated ODE model for the dynamics of heterogenous aggregates is analyzed. Aggregates contain two types of particles, oligomers and cross-linkers. The motivation is a preparatory step of cellular autophagy, the aggregation of oligomers of the protein p62 in the presence of ubiquitin cross-linkers. A combination of explicit computations, formal asymptotics, and numerical simulations has led to conjectures on the bifurcation behavior, certain aspects of which are proven rigorously in this work. In particular, the stability of the zero state, where the model has a smoothness deficit is analyzed by a combination of regularizing transformations and blow-up techniques. On the other hand, in a different parameter regime, the existence of polynomially growing solutions is shown by Poincaré compactification, combined with a singular perturbation analysis .
