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Flow through brushborders and similar protuberant wall structures

D Basmadjian, D S Dykes, A D Baines

    The Journal of Membrane Biology
    |October 31, 1980
    PubMed
    Summary
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    Fluid dynamics in kidney proximal tubules were studied using synthetic brush borders. Flow rates within these structures are minimal and primarily driven by diffusion, unlikely to impact radial gradients or transmural flux.

    Area of Science:

    • Fluid dynamics
    • Renal physiology
    • Biomimetic microfluidics

    Background:

    • Kidney proximal tubules feature complex internal structures called brush borders.
    • Understanding fluid dynamics within these microstructures is crucial for renal function.
    • Previous models often simplified brush border geometry and flow dynamics.

    Purpose of the Study:

    • To experimentally and theoretically investigate longitudinal flow through channels with protuberant wall structures, specifically synthetic brush borders.
    • To quantify the fractional flow rates within brush borders relative to the core flow.
    • To extrapolate findings to the physiological conditions of kidney proximal tubules.

    Main Methods:

    • Experiments utilized scaled tubes with synthetic internal brush borders mimicking kidney proximal tubule geometry.

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  • Dye trace transit times measured central core and total flow rates to deduce fractional flow rates.
  • Theoretical analysis employed the Kozeny-Carman equation for flow through parallel cylinder arrays.
  • Main Results:

    • Brush border to core flow ratios (QB/QC) were independent of Reynolds number (Re = 0.01 - 0.2).
    • Experimental results showed good agreement with theoretical predictions based on the Kozeny-Carman equation.
    • Extrapolation to kidney proximal tubules suggests brush border flow rates are 0.003% - 0.09% of total flow.

    Conclusions:

    • Flow within brush border structures is minimal and predominantly governed by diffusion.
    • Axial transport in brush borders is unlikely to significantly influence radial gradients or transmural flux.
    • The Kozeny-Carman model provides a basis for predicting flow in complex microchannel geometries, adaptable to turbulent conditions.