Characterization of transport in microfluidic gradient generators
| Autor: | John P. Wikswo, Bryan L. Gorman |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Work (thermodynamics)
Chemistry Sampling (statistics) Thermodynamics Péclet number Condensed Matter Physics Electronic Optical and Magnetic Materials symbols.namesake Materials Chemistry symbols Upstream (networking) Boundary value problem Convection–diffusion equation Biological system Mixing (physics) Generator (mathematics) |
| Zdroj: | Microfluidics and Nanofluidics. 4:273-285 |
| ISSN: | 1613-4990 1613-4982 |
| Popis: | We present a two-dimensional model that describes the concentration profile of a class of previously reported microfluidic devices which are of particular interest in cellular taxis research. The devices generate stable concentration gradients by mixing and dividing two or more external inputs into a large number of discrete streams. This study focuses specifically on modeling the confluence of the discrete streams in a long chamber. We derive a closed-form solution for gradient generators with any arbitrary number of sampling streams. By relating the physical dimensions to the Peclet number, we create a model independent of flow rate and therefore dependent only on the specific nature of the boundary condition provided by the upstream network. As a result, the modeling method we propose may help evaluate the effectiveness of competing gradient generation schemes. Finally, our analytical work introduces a framework for developing simple design rules of interest to experimentalists working with these devices. |
| Databáze: | OpenAIRE |
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