Hemodialyzer Urea Clearance & KoA Calculator
Biomedical transport phenomena & artificial organs: Calculate diffusive solute clearance ($K$), mass transfer-area coefficient ($K_0 A$), and $Kt/V$ adequacy using the Michaels countercurrent dialyzer equation.
Operating Flow Rates
Standard clinical blood pump flow
Countercurrent dialysate flow
Dialyzer Membrane Properties
High-efficiency dialyzer ~800–1200 mL/min
Convective fluid removal rate
Patient Parameters & Treatment Time
Watson formula V (~55–60% body weight)
Standard dialysis session = 3.5 to 4.5 hrs
Michaels Mass Transfer Equation
For a countercurrent hollow-fiber dialyzer:
$$K = Q_B \left[ \frac{1 - \exp\left(\frac{K_0 A}{Q_B} \left(1 - \frac{Q_B}{Q_D}\right)\right)}{\frac{Q_B}{Q_D} - \exp\left(\frac{K_0 A}{Q_B} \left(1 - \frac{Q_B}{Q_D}\right)\right)} \right]$$
Convective ultrafiltration further augments total solute removal by sieve drag: $K_{\text{tot}} = K + Q_{UF}(1 - K / Q_B)$.
Dialyzer Urea Clearance
Diffusive Clearance (K)
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Total Clearance (K_tot)
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Dialysis Dose & Adequacy (Kt/V)
Single-Pool Kt/V
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KDOQI Target ≥ 1.20
Urea Reduction Ratio (URR)
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Target ≥ 65%
Solute Extraction Performance
Single-Pass Extraction Ratio (E):
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Total Volume Cleared (K · t):
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KDOQI Adequacy Status:
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