Modeling, Analysis and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips

本课题主要研究表面声波驱动微流控生物芯片的数学建模、数值模拟和模型验证。这种生物芯片的操作行为代表了一个多物理场、多尺度的问题，可以通过压电方程和可压缩的Navier-Stokes方程的耦合来描述，这些方程在极端不同的时间尺度上具有流动模式。异质均质化技术将应用于产生的流场（声流）的适当建模，并为数值模拟开发，分析和实现高效可靠的算法工具。模型验证将在现有实验数据的基础上进行。生物芯片和生物阵列是用于制药、医学和法医应用的设备，用于DNA和蛋白质的化学分析，因此在基因组学、蛋白质组学和细胞分析中发挥重要作用。目前的技术努力集中在保证分析显著加速的设备的开发上。微流控生物芯片的特点是集成了芯片本身的流体，可以提供这样的加速以及更好的灵敏度、灵活性和成本效益。这个项目将导致更好地理解操作行为和开发方法，可用于生物芯片和生物阵列的优化设计。

This project is concerned with the mathematical modeling, numerical simulation and model validation of surface-acoustic-wave driven microfluidic biochips. The operational behavior of such biochips represents a multiphysics, multiscale problem that can be described by a coupling of the equations of piezoelectrics and the compressible Navier-Stokes equations featuring flow patterns on extremely different time-scales. Heterogeneous homogenization techniques will be applied for a proper modeling of the resulting flow field (acoustic streaming) and develop, analyze and implement efficient and reliable algorithmic tools for the numerical simulation. A model validation will be performed on the basis of available experimental data.Biochips and bioarrays are devices that are used in pharmaceutical, medical and forensic applications for the chemical analysis of DNA and proteins and thus play an important role in genomics, proteomics, and cell analysis. Current technological efforts focus on the development of devices that guarantee a significant speed-up of the analysis. Microfluidic biochips are characterized by an integration of the fluidics on the chip itself and can provide such a speed-up along with a better sensitivity, flexibility, and cost-effectiveness. This project will lead to a better understanding of the operational behavior and develop methods that can be used for an optimal design of biochips and bioarrays.