How good are the fits to the experimental velocity profiles in vivo
作者： SV Tachmitzi , AG Koutsiaris , rd Micro , AD Giannoukas
DOI:
关键词: Data set 、 Approximation error 、 Physics 、 Mathematical analysis 、 Distribution (mathematics) 、 Standard error 、 Work (thermodynamics) 、 Hagen–Poiseuille equation 、 Mechanical engineering 、 Particle image velocimetry 、 Doppler effect
摘要: A new velocity profile equation for the description of microcirculatory blood flow in vivo was proposed 2009. However various recently published papers still use assumption parabolic (Poiseuille flow). The purpose this work to evaluate performance 3 different fitting cases: 1) best fit, 2) axial fit with and 3) equation. Twelve experimental profiles measured by particle image velocimetry mouse venules were used compare efficiency cases on basis relative error (RE) expressed as average ± SE (standard error) at ten radial segments (REj 1 ≤ j 10). (case leads serious deviations from real distribution (RE10 = 65% 2%). slightly overestimates near vessel wall but below + 12% it requires only one value axis, measurable using Doppler Effect. approximates data without any bias a complete set.
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