One dimensional transport equations for CE systems by asymptotic homogenization

通过渐近均质化计算 CE 系统的一维输运方程

基本信息

批准号：
7667399
负责人：
Sandip Ghosal
金额：
$ 10.4万
依托单位：
NORTHWESTERN UNIVERSITY
依托单位国家：
美国
项目类别：
财政年份：
2007
资助国家：
美国
起止时间：
2007-09-01 至 2011-08-31
项目状态：
已结题

来源：
https://reporter.nih.gov/project-details/7667399
关键词：
Accounting Adhesions Area Binding Biochemical Biochemistry Biological Sciences Buffers Capillary Electrophoresis Cells Characteristics Charge Chemistry Complement Complex Complex Mixtures Computational Science Computer-Aided Design Computing Methodologies Coupled DNA Sequence Development Devices Diffuse Diffusion Dimensions Disease Elements Engineering Equation Forensic Medicine Future Gel Generations Glass Goals Health Heating Hour Human Language Lead Length Liquid substance Mathematics Measures Methods Microfluidic Microchips Microfluidics Modification Molecular National Security Online Systems Operative Surgical Procedures Pathogen detection Physics Principal Investigator Probability Procedures Process Protocols documentation Reproducibility Research Research Personnel Running Sampling Silicon Solutions System Techniques Technology Testing Time Variant Width Work base biological research computer code computer studies cost design fluid flow improved infancy interest micro-total analysis system nanolitre physical property point-of-care diagnostics prevent programs prototype simulation tool voltage

项目摘要

DESCRIPTION (provided by applicant): Research in the area of Microfluidics has lately been driven by the ultimate goal of creating a micro-total analysis system (mu-TAS) or more colloquially the 'Lab On a Chip'. The Capillary Electrophoresis (CE) channel is an essential component of any such system and much effort is focussed upon improving its design so as to maximize separation efficiency and reproducibility. Numerical solution of the equations describing the physics of the separation process is one of the most important modern tools available to the designer. Computational studies help save time and cost by helping to narrow down the possible design solutions prior to actual fabrication of prototypes. This proposal seeks to combine numerical approaches and asymptotic methods towards the solution of the fluid flow and species transport equations in CE channels so as to reduce the computational cost by many orders of magnitude. It is based on the observation that the physical problems in this class are characterized by a small parameter: the ratio of the characteristic width to the characteristic length of the micro-channel. The presence of this small parameter renders the underlying equations "stiff and hence difficult to solve. One can however take advantage of this stiffness by using "asymptotic homogenization" to essentially reduce the three dimensional problem to one that has only one space dimension with only a very small loss of accuracy. As a proof of concept, a web based computational design tool will be created on which remote users can run computations in real time. This is possible because of the massive reduction of computational effort that results from the replacement of a 3D stiff system of partial differential equations by a 1D non-stiff system. RELEVANCE: An approach is being proposed for reducing by many orders of magnitude the computational effort involved in the numerical simulation protocols used in computer aided design of microfluidic systems. The availability of such design tools increases the probability that the effort to create practical "Lab On a Chip" devices would succeed. The emergence of such devices would have an enormous impact on human health as they would enable biochemical analyses (such as DNA sequencing) that currently take months or years to be completed in minutes.

描述（由申请人提供）：最近在微流体学领域进行的研究是由创建微型统计分析系统（MU-TAS）或更俗语的“芯片上的实验室”的最终目标驱动的。毛细管电泳（CE）通道是任何此类系统的重要组成部分，大量精力集中在改进其设计上，以最大程度地提高分离效率和可重复性。描述分离过程物理的方程式的数值解决方案是设计师可用的最重要的现代工具之一。计算研究通过在实际制造原型之前帮助缩小可能的设计解决方案来帮助节省时间和成本。该提案试图将数值方法和渐近方法结合在一起，以解决CE通道中的流体流量和物种传输方程，以便将计算成本降低许多数量级。它基于这样的观察，即该类别的物理问题的特征是一个小参数：特征宽度与微通道的特征长度的比率。这个小参数的存在使基础方程“刚性且难以求解。非常小的精度作为概念证明，将创建一个基于Web的计算设计工具，远程用户可以实时运行计算。 1D非Stift系统的偏微分方程的3D硬系统。相关性：正在提出一种方法，用于减少许多数量级的数量级计算仿真协议中所涉及的计算机辅助设计的计算工作。此类设计工具的可用性增加了创建实用“芯片上实验室”设备的努力的可能性。此类设备的出现将对人类健康产生巨大影响，因为它们可以实现目前需要几个月或几年才能在几分钟内完成的生化分析（例如DNA测序）。