Generation of complex concentration profiles in microchannels in a logarithmically small number of steps

Lab on a Chip
Kyle Campbell, Alex Groisman

Abstract

We describe the principles of design and the architecture of planar microfluidic networks producing concentration gradients with the shape of any given monotonic function. Each microfluidic network is fed by two separate source solutions and delivers to its outlet a set of N solutions that all differ in concentration. Inside the network, the source solutions flow through a series of k = log(2)(N-1) stages, where they are repeatedly split and mixed. Streams of the solutions emerging from the network are combined to create a single stream with the desired shape of the concentration profile across the direction of flow. To demonstrate the functionality of the proposed architecture, we have built and tested three networks with k = 4 and N = 17 that generate an exponential concentration profile, a linear profile, and a profile with a shape of two fused branches of a parabola.

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Citations

Aug 9, 2008·Biomedical Microdevices·Taesung KimMichel M Maharbiz
Apr 9, 2013·Biomedical Microdevices·Ming-Cheng ShihCheng-Hsien Liu
Sep 27, 2012·Lab on a Chip·Micha AdlerAlex Groisman
May 11, 2010·Annual Review of Biomedical Engineering·Daniel Irimia
Jan 27, 2012·PloS One·Ziqiu TongKonstantinos Konstantopoulos
Aug 21, 2009·Biomicrofluidics·Siva A VanapalliFrieder Mugele
Aug 9, 2007·Proceedings of the National Academy of Sciences of the United States of America·Paul HerzmarkHenry R Bourne
Jun 28, 2008·Lab on a Chip·Carsten BetaEberhard Bodenschatz
Sep 27, 2008·Lab on a Chip·Kang SunXingyu Jiang
May 29, 2013·Lab on a Chip·Jiandong WuFrancis Lin
Oct 20, 2010·Integrative Biology : Quantitative Biosciences From Nano to Macro·Sudong KimNoo Li Jeon
Sep 16, 2011·Integrative Biology : Quantitative Biosciences From Nano to Macro·Joshua B White, Shuichi Takayama
May 23, 2012·Current Opinion in Chemical Biology·Benjamin Lin, Andre Levchenko
Jul 26, 2011·European Journal of Cell Biology·Carsten Beta, Eberhard Bodenschatz
Nov 21, 2007·Current Opinion in Biotechnology·R Warren Sands, David J Mooney
Jan 26, 2011·Macromolecular Bioscience·Eric H NguyenWilliam L Murphy
Jun 6, 2014·Journal of Tissue Engineering and Regenerative Medicine·Gianni OrsiGiovanni Vozzi
Nov 3, 2010·Chemistry & Biology·Saurabh VyawahareChristoph A Merten
Sep 21, 2011·Journal of Colloid and Interface Science·Fang ZhangDongqing Li
Jan 22, 2010·Lab on a Chip·Micha AdlerAlex Groisman
Dec 20, 2011·Lab on a Chip·Kwang W OhEdward P Furlani
Aug 30, 2013·Analytical Chemistry·Mei ZhanHang Lu
Sep 1, 2016·Biotechnology Progress·Aline F OliveiraLucimara G de la Torre
Apr 16, 2020·Journal of Translational Medicine·Wenjie ZhaoChengjun Huang
Jan 30, 2021·Advanced Healthcare Materials·Yusheng J HeGeorgia Papavasiliou

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