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transient 2d comsol model  (COMSOL Inc)
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
Transient 2d Comsol Model, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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transient 2d idff comsol® model  (COMSOL Inc)
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
Transient 2d Idff Comsol® Model, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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2d transient, two-phase cfd simulations with the standard k-ε turbulence model  (ANSYS inc)
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
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transient 2d numerical simulation models  (COMSOL Inc)
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
Transient 2d Numerical Simulation Models, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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edw transient state 2d model  (COMSOL Inc)
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the <t>2D</t> <t>COMSOL</t> model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).
Edw Transient State 2d Model, supplied by COMSOL Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
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Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).

Journal: ACS Nano

Article Title: Highly Localized Chemical Sampling at Subsecond Temporal Resolution Enabled with a Silicon Nanodialysis Platform at Nanoliter per Minute Flows

doi: 10.1021/acsnano.3c09776

Figure Lengend Snippet: Characterization of the open-flow ND probe at balanced pressure. (a) SEM image of the U-shaped open sampling area. (b) Recovery rates of the U-shaped (red circles) and square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows at RT. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (c) Dye transport flux measured for the U-shaped (red circles) and the square-shaped (black circles) open-flow ND probes measured at different pressure-balanced perfusate flows. The red curve is the RR calculated by the 2D COMSOL model for 130 μm arc length of the U-shaped design. Blue and black curves correspond to fitting with eq . (d) Calculated 2D concentration profiles of in-plane dialysate flows. The colors represent the concentration of fluorescein, with blue being 0 mM and red being 1 mM. (e) Calculated transient recovery rates for different flow rates. Solid and dashed lines correspond to the U-shaped design with an open area and an integrated resistive membrane, respectively. (f) Dependence of the equilibration time on flow rates for the U-shaped design with open area (solid red) and integrated resistive membrane (dashed blue).

Article Snippet: To evaluate the equilibration time τ E (time to reach 80% of the equilibrium steady state RR) we used the transient 2D COMSOL model for different transport resistances ( Figure e, solid lines).

Techniques: Sampling, Concentration Assay, Membrane