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Related Experiment Videos

Cross-sectional shape of collapsible tubes.

E Kresch, A Noordergraaf

    Biophysical Journal
    |March 1, 1972
    PubMed
    Summary

    This study quantifies vein collapse using mathematical analysis of flexible tube shapes under varying internal pressure. Results provide physical parameters for understanding vein mechanics and aid experimental measurements.

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    Area of Science:

    • Biomedical Engineering
    • Fluid Dynamics
    • Materials Science

    Background:

    • Vein collapse is a critical phenomenon in cardiovascular health.
    • Quantifying this collapse requires understanding flexible tube mechanics under pressure.
    • Existing methods may lack precision in determining key physical parameters.

    Purpose of the Study:

    • To mathematically analyze the cross-sectional shape changes of flexible tubes with varying internal pressure.
    • To quantify the collapse phenomenon in veins.
    • To provide a method for determining physical parameters of flexible tubes.

    Main Methods:

    • Mathematical analysis of a thin-walled flexible tube with zero stretching and zero longitudinal prestress.
    • Numerical solution of equations using a digital computer.
    • Visualization of cross-sectional shapes via oscilloscope and photography.

    Main Results:

    • Quantitative results presented in terms of tube wall thickness and Young's modulus.
    • Cross-sectional area and compliance curves as functions of transmural pressure.
    • Interpolation curves for experimental parameter determination.

    Conclusions:

    • The mathematical model effectively quantifies vein collapse.
    • The study provides valuable data for understanding vein mechanics.
    • The presented curves facilitate accurate experimental determination of physical parameters.

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