Modeling of kinetic processes in biological systems

病毒和纳米颗粒的内吞作用。 我们通过网状蛋白介导的内吞作用研究细胞对病毒和纳米颗粒的摄取，重点研究这一过程的动力学如何依赖于病毒/纳米颗粒的大小。 拥挤细胞质中双分子反应的速率。 我们发展了一个拥挤细胞质中的双分子反应理论，该理论解释了与没有拥挤试剂时相比，拥挤的存在如何改变反应速度。 昆虫呼吸中的随机门控。 我们提出了一个模型，该模型解释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度如何影响氧气分子的扩散通量。 在不同宽度的航道中运输。 我们对波纹壁通道中输运的分析主要集中在由于熵势垒和势垒的作用下，与平壁通道相比，波纹通道中扩散的减慢。 被条纹状的沟渠墙困住。 我们对条形槽壁捕获扩散颗粒的分析的主要发现是，槽壁的有效捕获率与壁曲率无关。这一比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.