The one-compartment open model leverages urinary excretion data to estimate renal clearance, which gauges the kidney's capacity to expel a drug. This method offers several benefits, including directly measuring drug elimination and assessing the kidney's contribution to overall drug clearance. However, this approach has limitations. It assumes sole renal excretion of the drug, which is not true for all drugs. Accurate urinary excretion and plasma drug concentration measurement can also be technically challenging.

The elimination rate constant can be determined through the rate constant method and the sigma minus method. Both involve plotting the natural logarithm of the plasma concentration versus time or the difference between plasma concentrations at two time points versus time, with the line slope equating to the elimination rate constant. To ensure validity, urinary excretion data should exhibit a linear relationship between urinary excretion and time, a steady excretion rate, and sufficient data points.

In conclusion, urinary excretion data and determining the elimination rate constant are integral to pharmacokinetic analysis, offering valuable insights into drug elimination and clearance within the body.