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Kt/V Calculator

A pre-dialysis BUN of 60 mg/dL and a post-dialysis BUN of 18 mg/dL over a 4-hour session with 2.5 liters of ultrafiltration and a 70 kg post-dialysis weight gives a single-pool Kt/V of about 1.42. This Kt/V calculator applies the Daugirdas second-generation equation for hemodialysis adequacy, a formula used to estimate how much urea a dialysis session removed relative to a patient's body water. Enter the pre- and post-dialysis blood urea nitrogen (BUN) values, the session length, the ultrafiltration volume, and the post-dialysis weight to see the calculated Kt/V, the underlying BUN ratio, and where that number falls against commonly cited clinical target figures.

Health & FitnessBy Reviewed by Editorial Health Review

Quick answer

Kt/V equals -ln(R - 0.008 x t) plus (4 - 3.5 x R) times (UF / W), where R is the post-to-pre BUN ratio.

Blood urea nitrogen before the session, e.g. mg/dL.

Must be lower than the pre-dialysis BUN, same unit.

Actual treatment time in hours, decimals allowed.

Total fluid removed during the session, in liters.

Body weight measured after the session, in kilograms.

Common use limits

This calculator computes single-pool Kt/V using the Daugirdas second-generation equation. It does not calculate equilibrated Kt/V, which accounts for urea rebound after a session ends.

The output is an educational estimate only. It does not replace direct dialysate or blood sampling methods, and it does not set or change a dialysis prescription.

What this tells you

  • Kt/V equals -ln(R - 0.008 x t) plus (4 - 3.5 x R) times (UF / W), where R is the post-to-pre BUN ratio.
  • R (the BUN ratio) must be less than 1 because post-dialysis BUN is expected to be lower than pre-dialysis BUN.
  • The session length (t) is entered in hours, the ultrafiltration volume (UF) in liters, and the post-dialysis weight (W) in kilograms.
  • This is a single-pool estimate. It does not account for urea rebound after the session ends, which clinicians instead capture with equilibrated Kt/V.

How to Use

  1. 1Enter the pre-dialysis BUN and the post-dialysis BUN in the same unit, such as mg/dL.
  2. 2Enter the dialysis session length in hours, using a decimal for partial hours (for example, 3.5 for three hours thirty minutes).
  3. 3Enter the total ultrafiltration volume removed during the session in liters.
  4. 4Enter the post-dialysis body weight in kilograms.
  5. 5Calculate to see the single-pool Kt/V, the BUN ratio (R), and a reference band based on commonly cited published targets.

How It Works

Formula

Kt/V = -ln(R - 0.008 x t) + (4 - 3.5 x R) x (UF / W) R = post-dialysis BUN / pre-dialysis BUN t = session length in hours UF = ultrafiltration volume in liters W = post-dialysis weight in kilograms Example: R = 0.3, t = 4, UF = 2.5, W = 70 -> Kt/V is about 1.42

This is the Daugirdas second-generation single-pool Kt/V equation for hemodialysis adequacy. It first computes R, the ratio of post-dialysis BUN to pre-dialysis BUN, then subtracts a small correction for urea generation during the session (0.008 times the session length in hours) before taking the natural logarithm. It then adds a second term that adjusts for fluid removed during the session relative to the patient's post-dialysis body weight. The result is a unitless number that estimates the fractional urea clearance achieved relative to total body water during a single hemodialysis session.

Calculation note: values are processed in the order shown above, using the current input units.

Worked Examples

Standard four-hour session

Pre-dialysis B U N60 mg/dL
Post-dialysis B U N18 mg/dL
Session length4 hours
Ultrafiltration volume2.5 L
Post-dialysis weight70 kg
ResultKt/V is about 1.42, above the commonly cited 1.2 target

R equals 18 divided by 60, or 0.3. The natural log term works out to about 1.32, and the ultrafiltration adjustment adds about 0.11, for a total of roughly 1.42.

Shorter session with a lower BUN reduction

Pre-dialysis B U N70 mg/dL
Post-dialysis B U N25 mg/dL
Session length3.5 hours
Ultrafiltration volume2.0 L
Post-dialysis weight65 kg
ResultKt/V is about 1.20, at the commonly cited minimum adequacy target

R equals 25 divided by 70, or about 0.357. The natural log term works out to about 1.11, and the ultrafiltration adjustment adds about 0.08, for a total of roughly 1.20.

Commonly cited Kt/V reference bands

These bands reflect a commonly cited KDOQI clinical target for thrice-weekly hemodialysis and are general reference figures, not a personal prescription.

BandSingle-pool Kt/VGeneral reference meaning
Below targetLess than 1.2Commonly cited as below the minimum adequacy target for thrice-weekly hemodialysis
Adequate1.2 to below 1.4Commonly cited as meeting the minimum adequacy target for thrice-weekly hemodialysis
Above target range1.4 or higherAbove the commonly cited target range, though a care team weighs this alongside session tolerance and other findings

A nephrologist or dialysis care team sets and reviews the actual prescription target for each patient, not a single calculated number.

How to read a single-pool Kt/V result

Kt/V compares urea clearance (K, the dialyzer's urea clearance, multiplied by t, the session time) against V, the patient's total body water volume. The Daugirdas second-generation equation used here does not require K or V as separate inputs. Instead, it estimates Kt/V directly from the pre- and post-dialysis BUN ratio, the session length, the ultrafiltration volume, and the post-dialysis weight, which is the form most commonly used at bedside and in dialysis unit records.

R, the BUN ratio, is the single most important input. It is the post-dialysis BUN divided by the pre-dialysis BUN, so a larger drop in BUN produces a smaller R and, generally, a higher Kt/V. R must be strictly between 0 and 1 for this equation, since post-dialysis BUN is expected to be lower than pre-dialysis BUN. If post-dialysis BUN equals or exceeds pre-dialysis BUN, the calculator returns no result rather than a misleading number, because the underlying assumption of urea removal during the session no longer holds.

The 0.008 x t correction subtracted from R accounts for urea generation that continues during dialysis from ongoing protein metabolism. For long sessions or a small BUN ratio, this correction can push the value inside the logarithm to zero or below, which makes the natural log mathematically undefined. When that happens, the calculator returns no result instead of an invalid number, since a negative or zero value under a natural log has no real answer.

This is a single-pool model, which assumes urea is evenly distributed throughout body water at the moment BUN is sampled. In practice, urea concentration briefly rebounds after a session ends as urea in tissue and less-perfused compartments re-equilibrates with blood. Clinicians who need to account for that rebound use equilibrated Kt/V (eKt/V), which applies a further adjustment beyond what this single-pool calculation provides. This tool reports single-pool Kt/V only.

The ultrafiltration term, (4 - 3.5 x R) x (UF / W), adjusts for fluid removed during the session relative to post-dialysis body weight. Removing more fluid relative to body weight raises the calculated Kt/V somewhat, independent of urea clearance itself. Because this term uses post-dialysis weight, entering pre-dialysis weight by mistake will skew the result.

Published clinical guidance commonly cites a minimum single-pool Kt/V target of about 1.2 per session for patients on a standard thrice-weekly hemodialysis schedule, with many programs aiming somewhat higher to allow a margin for session variability. These are population-level reference figures drawn from published dialysis adequacy literature. They are not a personalized prescription, and they do not account for residual kidney function, session frequency other than three times weekly, body composition, comorbid conditions, or how a specific patient tolerates fluid removal.

Direct dialysate-side urea measurement and formal equilibrated Kt/V testing remain the more precise methods used in clinical practice when adequacy needs to be confirmed rather than estimated. This calculator is meant to help a patient or student understand how the single-pool Daugirdas equation works and how its inputs move the result. It is not a substitute for the adequacy monitoring performed by a dialysis unit's laboratory and care team.

Review the related ACR calculator

Common mistakes

  • Entering pre- and post-dialysis BUN in different units, which breaks the ratio the formula depends on.
  • Entering a post-dialysis BUN that is equal to or higher than the pre-dialysis BUN, which makes the ratio invalid for this equation.
  • Using the dialysis session's scheduled length instead of the actual time on the machine, which can shift the result.
  • Entering pre-dialysis weight instead of post-dialysis weight in the weight field.
  • Treating a single calculated Kt/V as equivalent to equilibrated Kt/V, which accounts for urea rebound after the session ends.
  • Adjusting dialysis time, blood flow, or dialyzer settings from a single calculator result instead of discussing the number with a dialysis care team.

Limitations

This calculator computes single-pool Kt/V only. It does not calculate equilibrated Kt/V (eKt/V), which adjusts for post-session urea rebound and is often used clinically alongside or instead of the single-pool value. It requires pre- and post-dialysis BUN in matching units, a positive session length, a non-negative ultrafiltration volume, and a positive post-dialysis weight, and it returns no result when the post-dialysis BUN is not lower than the pre-dialysis BUN or when the logarithm term is mathematically undefined for the entered values. It does not account for residual native kidney function, dialysis frequency other than a standard thrice-weekly schedule, access recirculation, dialyzer clearance specifications, treatment time actually delivered versus prescribed, or patient-specific clinical factors. It is not a substitute for laboratory-based dialysis adequacy monitoring or for direct review by a nephrologist or dialysis care team.

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Frequently Asked Questions

Kt/V estimates how much urea a hemodialysis session cleared relative to a patient's total body water. It is a widely used way to describe hemodialysis adequacy for a single treatment.
Published guidance commonly cites a single-pool Kt/V of at least 1.2 per session as a minimum target for standard thrice-weekly hemodialysis. This calculator labels results at or above that figure as adequate, but the actual target for any individual patient is set by their care team.
The post-dialysis BUN must be lower than the pre-dialysis BUN, since dialysis is expected to reduce BUN. If the post-dialysis value equals or exceeds the pre-dialysis value, the ratio needed for this equation is invalid and no result is shown.
For a long session length combined with a small BUN ratio, the equation's correction term can push the value inside the natural logarithm to zero or below, which has no real solution. The calculator returns no result rather than an invalid number in that case.
Single-pool Kt/V, calculated here, assumes urea is evenly distributed in body water at the moment of sampling. Equilibrated Kt/V (eKt/V) adjusts for urea rebound that occurs in the minutes after a session ends, and it is typically somewhat lower than the single-pool value. This calculator does not compute eKt/V.
No. This tool is for educational arithmetic only. Any change to dialysis time, frequency, or settings should be made by a nephrologist or dialysis care team using clinical assessment and, when needed, formal adequacy testing.
Pre- and post-dialysis BUN can be entered in any matching unit such as mg/dL, since only their ratio is used. Session length is in hours, ultrafiltration volume is in liters, and post-dialysis weight is in kilograms.
It estimates kt/v calculator outputs using the visible inputs and formula assumptions on this page.

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