The steady state is the condition when the rate of drug administration is equal to the rate of drug elimination.
When the drug is administered as a constant rate IV infusion, there will be one steady state concentration as long as the rate of administration and the rate of elimination do not change.
When drug administration involves repeated doses, the drug concentration-time profile during each of the dosing intervals ( τ ) will be identical at steady state. This means that the maximum, the minimum, and the average concentrations during each dosing interval will be similar at steady state.
It is the Michaelis-Menten constant. It is a qualitative characteristic of how an enzyme interacts with the substrate and is independent of the enzyme concentration. Km is equal to the substrate conc when the reaction rate is half its maximum value (1/2 Vmax).
Km has units of concentrations (amount/volume).
Conditions such as the presence of a competitive inhibitor can result in increasing Km. This is because at any given drug conc the rate of drug metabolism is slower in presence of a competitive inhibitor compared to the rate in absence of the inhibitor.
In enzyme kinetics Vmax is the maximum rate of the enzymatic reaction. For drug metabolism in vivo, Vmax is the maximum rate of drug metabolism by a specific pathway.Vmax has units of amount per time and can also have units of concentration per time.
The maximum rate of drug metabolism is dependent on the amount of enzyme available for drug metabolism via a specific pathway. Enzyme induction results in increasing the amount of the enzyme and Vmax.
Diseases that affect the liver (the primary organ for drug metabolism) may result in decreasing the metabolic capacity for metabolic pathways and decreases Vmax. Also, Vmax may depend on the size of the patient. Children may have lower Vmax compared to adults.