论文标题
PDE和随机建模在细胞生物学中的蛋白质转运中的应用
Applications of PDEs and Stochastic Modeling to Protein Transport in Cell Biology
论文作者
论文摘要
细胞内运输过程对于许多生物的健康发展以及更普遍的健康细胞功能至关重要。在不同时间和空间尺度上的蛋白质分子和细丝之间的复杂动力学和相互作用为数学建模和分析提供了许多机会,可以提供对蛋白质分类和整体细胞组织的见解。对流反应扩散部分偏微分方程和随机切换粒子模型在理解细胞内部时空蛋白动力学方面特别有用。
Intracellular transport processes are essential to the healthy development of many organisms as well as more generally to healthy cellular function. The complex dynamics and interactions between protein molecules and filaments on different time and spatial scales generate many opportunities for mathematical modeling and analysis that can provide insights into protein sorting and overall cellular organization. Systems of advection-reaction-diffusion partial differential equations and stochastic state-switching particle models are especially useful in understanding spatiotemporal protein dynamics inside cells.