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Hemodialyzer Urea Clearance & Mass Transfer Calculator

Hemodialyzer clearance measures the volume of blood cleared of metabolic uremic toxins (such as urea and creatinine) per unit time across semi-permeable membranes.

Extracorporeal blood flow through vascular access.

Counter-current dialysate fluid delivery rate.

Intrinsic membrane permeability-area coefficient for urea.

Pre-dialyzer solute concentration.

Calculated Result
271.5 mL/min

Solute Clearance (Kd)

Extraction Ratio

77.6%

Mass Removal Rate

203.7 mg/min

Number of Transfer Units (NTU)

2.14

Calculation Breakdown

  1. Counter-Current Dialyzer Clearance (Kd)Qb * [exp(KoA(1-Z)/Qb) - 1] / [exp(KoA(1-Z)/Qb) - Z] = 271.5 mL/min
  2. Single-Pass Extraction Ratio(Kd / Qb) * 100% = 77.6%
  3. Solute Mass Removal RateKd * Cin = 203.66 mg/min

What Is the Hemodialyzer Urea Clearance & Mass Transfer Calculator?

Dialyzer clearance Kd quantifies the effective volumetric cleansing rate of uremic toxins across hollow fiber membranes.

How Does the Hemodialyzer Urea Clearance & Mass Transfer Calculator Work?

Counter-current flow preserves a positive concentration gradient along the entire fiber length, governed by membrane KoA.

Hemodialyzer Urea Clearance & Mass Transfer Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

K_d = Q_b rac{expleft( rac{K_o A}{Q_b}(1 - Z) ight) - 1}{expleft( rac{K_o A}{Q_b}(1 - Z) ight) - Z}, quad Z = rac{Q_b}{Q_d}

Counter-current mass transfer dialyzer clearance equation.

How to Use the Hemodialyzer Urea Clearance & Mass Transfer Calculator

  1. Enter blood flow Qb, dialysate flow Qd, dialyzer KoA in mL/min, and pre-dialyzer solute concentration.

Step-by-Step Example Calculation

High-Flux Dialyzer Clinical Session

Input Values:

bloodFlowQbMlMin:400
dialysateFlowQdMlMin:600
koAMlMin:900
inletConcentrationMgDl:70
Worked Steps: Clearance Kd = 301 mL/min (75.3% extraction ratio), Solute removal rate = 211 mg/min.

Understanding Your Result

Outputs solute clearance Kd in mL/min, single-pass extraction ratio, and mass removal rate in mg/min.

Factors That Affect the Result

  • Higher blood flow boosts clearance up to membrane diffusion limits; membrane KoA represents intrinsic membrane quality.

When Should You Use This Calculator?

  • Prescribing clinical hemodialysis adequacy (Kt/V target >= 1.4) and sizing artificial kidney membranes.

Assumptions & Limitations

  • Assumes negligible ultrafiltration convection contribution (pure diffusion model).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard biomedical engineering dialyzer transport model.

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