How to Calculate Excretion Rate

Excretion Rate & Renal Clearance Calculator

Results:

Excretion Rate: 0 units/min

Renal Clearance (Cl): 0 mL/min

Understanding Excretion Rate Calculation

The excretion rate represents the quantity of a specific substance (such as a drug or metabolic waste product like creatinine) that is removed from the body by the kidneys per unit of time. This is a critical metric in pharmacokinetics and physiology used to assess kidney function and drug dosing.

The Basic Formula

To find the excretion rate, you must multiply the concentration of the substance in the urine by the rate at which urine is being produced. The standard formula is:

Excretion Rate = U × V
  • U: Concentration of the substance in the urine (e.g., mg/mL).
  • V: Urine flow rate (e.g., mL/min).

Calculating Renal Clearance

Renal clearance describes the volume of plasma that is completely cleared of a substance by the kidneys per unit of time. It relates the excretion rate to the concentration of the substance currently in the blood (plasma):

Clearance (Cl) = (U × V) / P

Where P is the plasma concentration of the substance.

Real-World Example

Imagine a patient with the following lab results for a specific drug:

  • Urine Concentration (U): 4 mg/mL
  • Urine Flow Rate (V): 1.5 mL/min
  • Plasma Concentration (P): 0.2 mg/mL

Step 1: Calculate Excretion Rate
Excretion Rate = 4 mg/mL × 1.5 mL/min = 6 mg/min.

Step 2: Calculate Renal Clearance
Clearance = 6 mg/min ÷ 0.2 mg/mL = 30 mL/min.

In this case, 30 milliliters of plasma are being cleared of the drug every minute.

function calculateExcretion() { var u = parseFloat(document.getElementById("urineConc").value); var v = parseFloat(document.getElementById("urineFlow").value); var p = parseFloat(document.getElementById("plasmaConc").value); var resultsDiv = document.getElementById("calcResults"); var rateOutput = document.getElementById("rateOutput"); var clearanceOutput = document.getElementById("clearanceOutput"); var clearanceDiv = document.getElementById("clearanceDiv"); if (isNaN(u) || isNaN(v)) { alert("Please enter valid numbers for Urine Concentration and Urine Flow Rate."); return; } // Calculate Excretion Rate var excretionRate = u * v; rateOutput.innerHTML = excretionRate.toFixed(4); // Calculate Clearance if Plasma Concentration is provided if (!isNaN(p) && p > 0) { var clearance = (u * v) / p; clearanceOutput.innerHTML = clearance.toFixed(2); clearanceDiv.style.display = "block"; } else { clearanceDiv.style.display = "none"; } resultsDiv.style.display = "block"; // Smooth scroll to results resultsDiv.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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