Transport of Dynamic Biochemical Signals in Steady Flow in a Shallow Y-Shaped Microfluidic Channel: Effect of Transverse Diffusion and Longitudinal Dispersion

Li, Yong-Jiang; Li, Yizeng; Cao, Tun; Qin, Kairong

doi:10.1115/1.4025774

Cited by 24 publications

(25 citation statements)

References 27 publications

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“…More recently, Sullivan et al closely predicted their experimental data by making use of a lattice‐Boltzmann‐based numerical approach assuming that the viscosity depends on the local analyte concentration. There are many more recent works dealing with cross‐stream diffusion in a T/Y‐shaped micromixer including both experimental and theoretical studies.…”

Section: Introductionmentioning

confidence: 99%

Analytical solutions for species transport in a T‐sensor at low peclet numbers

Sadeghi

2016

AIChE Journal

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A 3D analytical solution is presented for the problem of mass transport in a T-sensor by taking the axial diffusion effects into account. The solution methodology is based on an eigenfunction expansion of the solute concentration and enjoys the variational calculus for the solution of the associated eigenvalue problem. The method is capable of handling a mixed electroosmotic and pressure-driven velocity profile and is executed assuming a rectangular channel crosssection although it can be easily extended to more complex geometries. Two simplified models, one based on a uniform velocity profile, valid for the channel half height to Debye length ratios of above 100, and the other based on a depthwise averaging of the species concentration to be used for cases in which the channel width to height ratio is above 5 are also presented. As a part of the latter, expressions are derived for the Taylor dispersion coefficient of the mixed flow in a slit microconduit. The most interesting finding of this study is that, when the diffusion mechanism significantly contributes to the axial movement of the species, the well-known heterogeneous mass transport evolves into a nearly uniform pattern in the depthwise direction and the mixing length noticeably increases.The predictions of the thin EDL solution are also presented to be compared with those of C50.

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Section: Introductionmentioning

confidence: 99%

Analytical solutions for species transport in a T‐sensor at low peclet numbers

Sadeghi

2016

AIChE Journal

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“…It is of importance to understand the transport characteristics of the dynamic biochemical signals transporting in fluid flows in the micro-channels of the Y-shaped microfluidic device in order to precisely load biochemical signals on the desired cells cultured on the bottom of the mixing micro-channel as these microfluidic channels act as low-pass filters [22]. The WSS signals and the spatiotemporal concentration profiles of biochemical signals in the mixing micro-channel are carefully analyzed by numerically solving the equations governing the dynamic laminar flow and time-dependent Taylor-Aris dispersion (see .…”

Section: Discussionmentioning

confidence: 99%

“…It is assumed that solution A has a constant volume flow rate QA, and solvent B has a dynamically changing volume flow rate QB. The flow velocity uA of solution A is the same as the flow velocity uB of solvent B, which satisfies [22]…”

Section: Control Of Two-stream Flow Widths In the Mixing Micro-channel Cmentioning

confidence: 99%

“…The transportation of the height-wise averaging concentration φ in the mixing micro-channel C is governed by the following Taylor-Aris dispersion equation [22],…”

Section: Control Of Two-stream Flow Widths In the Mixing Micro-channel Cmentioning

confidence: 99%

“…In the Equation (9), Deff is referred to the effective dispersion coefficient, which is superposed by molecular diffusion coefficient D and Taylor dispersion coefficient DT as [22],…”

Section: Control Of Two-stream Flow Widths In the Mixing Micro-channel Cmentioning

confidence: 99%

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A Y-Shaped Microfluidic Device to Study the Combined Effect of Wall Shear Stress and ATP Signals on Intracellular Calcium Dynamics in Vascular Endothelial Cells

Chen

Gao

Zeng

et al. 2016

Preprint

Self Cite

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The intracellular calcium dynamics in vascular endothelial cells (VECs) in response to wall shear stress (WSS) and/or adenosine triphosphate (ATP) have been commonly regarded as an important factor in regulating VEC function and behavior including proliferation, migration and apoptosis. However, the effects of time-varying ATP signals have been usually neglected in the past investigations in the field of VEC mechanobiology. In order to investigate the combined effects of WSS and dynamic ATP signals on the intracellular calcium dynamic in VECs, a Y-shaped microfluidic device, which can provide the cultured cells on the bottom of its mixing micro-channel with stimuli of WSS signal alone and different combinations of WSS and ATP signals in one single micro-channel, is proposed. Both numerical simulation and experimental studies verify the feasibility of its application. Cellular experimental results also suggest that a combination of WSS and ATP signals rather than a WSS signal alone might play a more significant role in VEC Ca2+ signal transduction induced by blood flow.

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Depletion of cross‐stream diffusion in the presence of viscoelasticity

Sadeghi

2015

AIChE Journal

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An effort to analyze the viscoelasticity effects on transverse transport of neutral solutes between two miscible streams in an electrokinetic T‐sensor is presented. The analysis is based on an approximate analytical solution for the depthwise averaged concentration, assuming a channel of large width to depth ratio for which a one‐dimensional profile is sufficient for describing the velocity field. We show that the solution derived is surprisingly accurate even for very small channel aspect ratios and the maximum error reduces to only about 1% when the aspect ratio is 5. The developed model reveals that the mixing length for a viscoelastic fluid may be by far larger than that for a Newtonian fluid. Moreover, the Taylor dispersion coefficient for electroosmotic flow of viscoelastic fluids, which its determination is a main part of the analysis, is found to be an increasing function of both the elasticity level and the EDL thickness. © 2015 American Institute of Chemical Engineers AIChE J, 61: 4533–4541, 2015

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Transport of Dynamic Biochemical Signals in Steady Flow in a Shallow Y-Shaped Microfluidic Channel: Effect of Transverse Diffusion and Longitudinal Dispersion

Cited by 24 publications

References 27 publications

Analytical solutions for species transport in a T‐sensor at low peclet numbers

Analytical solutions for species transport in a T‐sensor at low peclet numbers

A Y-Shaped Microfluidic Device to Study the Combined Effect of Wall Shear Stress and ATP Signals on Intracellular Calcium Dynamics in Vascular Endothelial Cells

Depletion of cross‐stream diffusion in the presence of viscoelasticity

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