Microfluidic multipoles (MFMs) have been realized experimentally and hold promise for “open-space” biological and chemical surface processing. Whereas convective flow can readily be predicted using hydraulic-electrical analogies, the design of advanced microfluidic multipole is constrained by the lack of simple, accurate models to predict mass transport within them. In this work, we introduce the complete solutions to mass transport in multipolar microfluidics based on the iterative conformal mapping of 2D advection-diffusion around a simple edge into dipoles and multipolar geometries, revealing a rich landscape of transport modes. The models are validated experimentally with a library of 3D printed devices and found in excellent agreement. Following a theory-guided design approach, we further ideate and fabricate two classes of spatiotemporally reconfigurable multipolar devices that are used for processing surfaces with time-varying reagent streams, and to realize a multistep automated immunoassay. Overall, the results set the foundations for exploring, developing, and applying open-space microfluidic multipoles.

Immunohistochemistry (IHC) on tissue sections is widely used for quantifying the expression patterns of proteins and is part of the standard of care for cancer diagnosis and prognosis, but is limited to staining a single protein per tissue. Tissue microarray and microfluidics staining methods have emerged as powerful high throughput techniques, but they either only permit the analysis of a single protein per slide or require complex instrumentation and expertise while only staining isolated areas. Here, we introduce IHC microarrays (IHCμA) for multiplexed staining of intact tissues with preserved histological and spatial information. Droplets of a dextran solution containing antibodies were prespotted on a slide and snapped onto a preprocessed formalin-fixed, paraffin-embedded (FFPE) tissue section soaked in a polyethylene glycol solution. The antibodies are confined within the dextran droplets and locally stain the tissue below with a contrast similar to the one obtained by conventional IHC. The microarray of antibody droplets can be prespotted on a slide and stored, thus neither the preparation of the antibody solutions nor a sophisticated microarray spotter is needed. Sampling considerations with IHCμA were evaluated by taking three tissues with varying levels of cancer cells. A multiplex IHCμA with 180 spots targeting 8 cancer proteins was performed on a breast cancer tissue section to illustrate the potential of this method. This work opens the avenue of applying microarray technologies for conducting IHC on intact tissue slices and has great potential to be used in the discovery and validation of tissue biomarkers in human tumors.

Antibody microarrays enable multiplexed protein detection with minimal reagent consumption, but they continue to be plagued by lack of reproducibility. Chemically functionalized glass slides are used as substrates, yet antibody binding spatial inhomogeneity across the slide has not been analyzed in antibody microarrays. Here, we characterize spatial bias across five commercial slides patterned with nine overlapping dense arrays (by combining three buffers and three different antibodies), and we measure signal variation for both antibody immobilization and the assay signal, generating 270 heatmaps. Spatial bias varied across models, and the coefficient of variation ranged from 4.6 to 50%, which was unexpectedly large. Next, we evaluated three layouts of spot replicateslocal, random, and structured randomfor their capacity to predict assay variation. Local replicates are widely used but systematically underestimate the whole-slide variation by up to seven times; structured random replicates gave the most accurate estimation. Our results highlight the risk and consequences of using local replicates: the underappreciation of spatial bias as a source of variability, poor assay reproducibility, and possible overconfidence in assay results. We recommend the detailed characterization of spatial bias for antibody microarrays and the description and use of distributed positive replicates for research and clinical applications.