Modeling of kinetic processes in biological systems

病毒和纳米颗粒的内吞作用。 我们通过网格蛋白介导的内吞作用研究了病毒和纳米颗粒的细胞摄取，重点是这个过程的动力学如何取决于病毒/纳米颗粒的大小。 拥挤的细胞质中双分子反应的速率。 我们开发了一个理论，拥挤的细胞质中的双分子反应，这解释了如何拥挤的存在下修改的反应速率相比，在拥挤剂的情况下。 昆虫呼吸的随机门控。 我们提出了一个模型，考虑了随机门控对昆虫呼吸中氧分子运输的影响。我们的分析解释了随机门的关闭和打开速率如何影响氧分子的扩散通量。 在不同宽度的通道中传输。 我们的分析与波纹壁的通道中的传输集中在这样的通道中的扩散的放缓，相比，在渠道与平坦的壁，由于熵威尔斯和障碍。 被条纹状通道壁捕获。 我们分析条纹通道壁对扩散粒子的捕获时发现，通道壁的有效捕获率与通道壁曲率无关。该速率仅由条纹表面分数决定。

Endocytosis of viruses and nanoparticles. We study cellular uptake of viruses and nanoparticles via clathrin-mediated endocytosis focusing on how the kinetics of this process depends on the virus/nanoparticle size. Rate of bimolecular reactions in crowded cytoplasm. We developed a theory of bimolecular reactions in crowded cytoplasm, which explains how the presence of crowders modifies the reaction rate compared to that in the absence of crowding agents. Stochastic gating in insect respiration. We proposed a model that accounts for the effect of stochastic gating on transport of oxygen molecules in insect respiration. Our analysis explains how the rates of closing and opening of the stochastic gate affect the diffusive flux of oxygen molecules. Transport in channels of varying width. Our analysis of transport in channels with corrugated walls focuses on the slowdown of diffusion in such channels, compared to that in channels with flat walls, due to entropy wells and barriers. Trapping by striped channel walls. The major finding of our analysis of trapping of diffusing particles by striped channel walls is that the effective trapping rate of the wall is independent of the wall curvature. This rate is determined only by the stripe surface fraction.