Including Active Transport in Cell Transport Phenomena Studies

我们研究的最终目的是了解人体细胞中发生的重要代谢过程。到目前为止，我们在CSUDH的研究主要集中在均匀介质中的被动输运研究。我们开发了一种基于数学技术（重整化、随机漫步、波动耗散）、新的几何概念（拟分形）和计算机模拟（蒙特卡罗、布朗动力学）的创新方法来研究这个主题。这项工作现在引导我们研究主动运输。在这个提议中，我们打算描述细胞货物是如何通过细胞的粘性区域扩散的，它是如何通过细胞骨架中的分子马达运输的，以及这些类型的运输是如何进行的

The ultimate purpose of our research is to understand the important metabolic processes taking place in the human cell. Our research at CSUDH has so far focused on the study of passive transport in in homogeneous media. We have developed an inovative approach based on a combination of mathematical techniques (renormalization, random walks, fluctuation-dissipation), new geometrical concepts (quasi-fractals), and computer simulations (Monte Carlo, Brownian dynamics) to study this topic. This work has now led us to study active transport. In this proposal, we intend to describe how cellular cargo diffuses through the viscous regions of the cell, how it is transported by molecular motors in the cytoskeleton, and how these types of transport are connected at the cellular level. Also, the cell is a dynamic structure and its inherent motion affects the transpot phenomena taking place inside. In order to integrate all these aspects, we will study the motion of particles while driven by thermal fluctuations on suitable dynamical and geometrical models of the cell. We will extend our general formalism to include active trasport and time distributions to represent the random nature and dynamics of the cell.