Biomedical Engineering / Hemodialyzer Urea Clearance
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LABORATORY 32 · BIOMEDICAL ENGINEERING

Hollow-Fiber Hemodialyzer Urea Clearance & Mass Transfer Coefficient

Evaluate small-solute (urea) clearance K_u of a clinical hollow-fiber hemodialyzer across varying blood flow rates Q_b at fixed dialysate flow rate Q_d. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.

BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING

Your virtual biomedical engineering laboratory.

DIALYTIC UREA CLEARANCE K_U—
PHYSIOLOGICAL & TEST CELL TELEMETRY

Ready to sample with Blood Flow Q_b = 250.0 mL/min.

250.0 mL/min
Dialyzer: High-flux polysulfone hollow-fiber cartridge (1.8 m²)

Adjust Blood Flow Q_b, 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

The linear clearance-flow model applies across standard clinical blood flows (150 to 400 mL/min); at extreme flows (> 500 mL/min), clearance plateaus asymptotically. Evaluated on a 1.8 m² high-flux polysulfone hollow-fiber hemodialyzer (Fresenius FX80, mass transfer-area coefficient K_0·A = 950 mL/min for urea). Constant counter-current dialysate flow Q_d = 500 mL/min at 37.0 °C with zero ultrafiltration (Q_f = 0). Linear blood flow clearance slope m_c = 0.5800 with baseline K_u0 = 42.0000 mL/min across blood flow rates Q_b from 150 to 400 mL/min.

Biomedical apparatus & physiological sensors.

Clinical Hemodialysis Delivery System Test Bench

Provides calibrated peristaltic blood pump and heated, degassed dialysate preparation system.

High-Flux Polysulfone Hollow-Fiber Dialyzer (1.8 m²)

Contains ~12,000 semipermeable hollow fibers with 1.8 m² effective mass transfer surface area.

Closed-Loop Synthetic Blood Reservoir (Urea 25.0 mmol/L)

Provides standardized blood substitute containing physiological electrolytes and clinical urea concentration.

Counter-Current Dialysate Proportioning Circuit (500 mL/min)

Prepares bicarbonate-buffered dialysate at 37.0 °C and meters counter-current flow through shell side.

Automated Spectrophotometric Enzymatic Urea Analyzer

Measures blood inlet (C_bi) and outlet (C_bo) urea concentrations using the urease-GLDH method.

Dual Ultrasonic In-Line Flow Transducers

Continuously measures blood compartment flow Q_b and dialysate flow Q_d with 1 mL/min accuracy.

FOLLOW THE METHOD

A reason behind every step.

Evaluate small-solute (urea) clearance K_u of a clinical hollow-fiber hemodialyzer across varying blood flow rates Q_b at fixed dialysate flow rate Q_d. Standardized parameter settings: 150.0, 200.0, 250.0, 300.0, 350.0, 400.0 mL/min.

01

Dialyzer Priming and Air Purging

Mount dialyzer vertically, prime blood side with 1 L heparinized saline at 150 mL/min to displace air, and invert to purge dialysate compartment.

02

Dialysate Temperature and Flow Stabilization

Set dialysate delivery to 500 mL/min at 37.0 °C with bicarbonate conductivity 14.0 mS/cm and verify zero ultrafiltration transmembrane pressure.

03

Blood Reservoir Urea Standardization

Prepare synthetic blood reservoir with urea concentration C_bi = 25.0 mmol/L (150 mg/dL BUN) at 37.0 °C under gentle magnetic stirring.

04

Blood Flow Step Initialization

Set blood pump to delivery rate Q_b = 150 mL/min, circulate counter-current to dialysate, and allow 5 minutes for concentration steady state.

05

Paired Blood Sampling and Urea Assay

Simultaneously sample inlet port (C_bi) and dialyzer outlet port (C_bo), assaying urea concentrations via spectrophotometric enzymatic assay to calculate clearance K_u.

06

Blood Flow Progression and Regression Analysis

Repeat sampling at Q_b = 200, 250, 300, 350, and 400 mL/min, plot urea clearance K_u versus Q_b, and determine flow sensitivity slope m_c.

07

Mass Transfer-Area Coefficient K_0·A Calculation

Verify dialyzer performance against the theoretical logarithmic mean mass transfer relation K_0·A = [Q_b·Q_d / (Q_d - Q_b)] · ln[(1 - K/Q_d)/(1 - K/Q_b)].

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 Hemodialyzer Urea Clearance mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
K_u = m_c · Q_b + K_u0 = 0.5800 · Q_b + 42.0000
#Blood Compartment Flow Rate Q_b (mL/min)Dialytic Urea Clearance K_u (mL/min)Blood flow rate Q_b (mL/min)Urea clearance K_u (mL/min)Remove

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CHECK YOUR UNDERSTANDING

Explain what the biomedical metrics mean.

Why do clinical hemodialyzers utilize counter-current flow between blood and dialysate?

What is the molecular weight of urea, the primary small-solute marker for dialysis adequacy?

If blood flow Q_b is 300 mL/min and measured urea clearance is 216.0 mL/min with K_u0 = 42.0 mL/min, what is slope m_c?

What clinical metric expresses the fractional clearance of urea normalized to patient total body water?