Biomedical Engineering / Microvascular Hydraulic Resistance
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LABORATORY 28 · BIOMEDICAL ENGINEERING

Microvascular Perfusion Hydraulic Resistance & Hagen-Poiseuille Flow Verification

Determine the hydraulic flow resistance R_hyd of a precision microvascular capillary network perfusion model and verify Hagen-Poiseuille laminar resistance scaling. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.

BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING

Your virtual biomedical engineering laboratory.

PERFUSION PRESSURE DROP ΔP—
PHYSIOLOGICAL & TEST CELL TELEMETRY

Ready to sample with Flow Rate Q = 6.0 mL/min.

6.0 mL/min
Cartridge: Biomimetic PDMS microvascular array (8 parallel 120 μm channels, L = 40 mm)

Adjust Flow Rate Q, then execute biomedical trial.

Biomedical engineering telemetry and physiological states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity biological and physiological modeling.

Biomedical assumptions and boundary condition limits

Hagen-Poiseuille law assumes a rigid, circular, straight tube; physiological blood vessels are compliant, branching, and tapered. Evaluated on a biomimetic PDMS microvascular capillary perfusion cartridge (lumen diameter 120 μm, length 40 mm, 8 parallel microchannels) perfused with physiological saline (viscosity μ = 0.0010 Pa·s) at 37.0 °C. Perfusion flow rates from 2.0 to 12.0 mL/min yield Reynolds numbers Re < 50 (strictly laminar). Hydraulic resistance R_hyd = 3.6000 kPa/(mL/min).

Biomedical apparatus & physiological sensors.

Precision Dual-Syringe Pulseless Perfusion Pump

Delivers pulseless volumetric flow rates from 0.1 to 20 mL/min with stepper-motor accuracy.

Biomimetic Microvascular Perfusion Cartridge

Provides microfabricated parallel cylindrical conduits with optically transparent viewing windows.

Differential Wet-Wet Piezoresistive Pressure Transducer

Measures trans-vascular pressure drop ΔP from 0 to 50 kPa with 0.05% accuracy.

Thermostatically Controlled Perfusion Warming Circuit (37.0 °C)

Maintains perfusate fluid temperature stable within ±0.1 °C to fix fluid viscosity.

In-Line Degasser & Hydrophobic Bubble Trap

Eliminates microscopic air bubbles that would lodge in microchannels and alter hydraulic resistance.

Precision Analytical Catch Balance

Validates actual volumetric delivery rate by timed gravimetric fluid collection.

FOLLOW THE METHOD

A reason behind every step.

Determine the hydraulic flow resistance R_hyd of a precision microvascular capillary network perfusion model and verify Hagen-Poiseuille laminar resistance scaling. Standardized parameter settings: 2.0, 4.0, 6.0, 8.0, 10.0, 12.0 mL/min.

01

Perfusion Circuit Degassing and Priming

Prime the microvascular flow loop with degassed physiological saline at 37.0 °C, ensuring zero air bubbles remain in the tubing or differential pressure ports.

02

Differential Pressure Transducer Zeroing

With the perfusion pump halted, open the bypass valve to equalize pressure ports and zero the differential pressure transducer to exactly 0.000 kPa.

03

Perfusion Pump Initialization

Set the dual-syringe infusion pump to deliver 2.0 mL/min and close the bypass valve, allowing 2 minutes for pressure to achieve steady state.

04

Pressure Drop Telemetry Logging

Record 100 consecutive differential pressure readings over 30 seconds and calculate mean pressure drop ΔP in kilopascals.

05

Flow Rate Progression Sequence

Increment pump delivery rate through 4.0, 6.0, 8.0, 10.0, and 12.0 mL/min, logging stabilized pressure drop at each flow rate.

06

Hydraulic Resistance Regression Analysis

Plot trans-vascular pressure drop ΔP versus flow rate Q and determine hydraulic resistance R_hyd from the slope of the linear fit through the origin.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into biomedical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Microvascular Hydraulic Resistance mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
ΔP = R_hyd · Q = 3.6000 · Q
#Perfusion Volumetric Flow Rate Q (mL/min)Perfusion Pressure Drop ΔP (kPa)Perfusion flow rate Q (mL/min)Perfusion pressure drop ΔP (kPa)Remove

No readings yet. Execute a biomedical trial and record it.

Calculate it yourself.

CHECK YOUR UNDERSTANDING

Explain what the biomedical metrics mean.

According to the Hagen-Poiseuille law, what happens to flow resistance if a vessel's radius is halved?

Which vascular segment provides the greatest contribution to total peripheral resistance in the human body?

If a flow rate of 10.0 mL/min produces a pressure drop of 36.00 kPa, what is hydraulic resistance R_hyd?

Why is flow through microvessels strictly laminar rather than turbulent?