What is the time required for the amount of the drug to decrease by 50% called?

The half-life (t1/2) of a drug is the time required for the amount of drug in the body or blood to fall by 50%. It is only applicable to drugs that exhibit first-order kinetics, in which a constant fraction of drug is eliminated per unit time as shown below. In zero-order kinetics, a constant amount of drug is eliminated per unit time.

T1/2 can be determined if the clearance (Cl) and volume of distribution (Vd) is known. Cl is the ratio of the rate of elimination of a drug to the concentration in the plasma (rate of elimination/plasma drug concentration). The Vd is the ratio of the amount of drug in the body to the drug concentration in the plasma (amount of drug in body/plasma drug concentration).

The half-life of a drug can be determined using the following equation:

t1/2 = (0.7 times Vd) / Cl

Therefore, t1/2 = (0.7 times 40L) / 2.0 L/hour, and t1/2 = 14 hours.

Note: 0.7 is a commonly used log approximation, but not the actual value. Another commonly used approximation is 0.693 for -ln(0.5) = 0.69315.

What is the time required for the amount of the drug to decrease by 50% called?

The half-life determines the rate at which a drug concentration rises during a constant infusion and also the rate at which the concentration falls after drug administration is stopped. It is commonly accepted that it takes four to five half-lives to reach steady state, as shown in the figure to the right.

Tips to remember

Tips to remember

  • The half-life (t1/2) is the time it takes for the plasma concentration of a drug or the amount of drug in the body to be reduced by 50%. 
  • The half-life of a drug can be determined using the following equation: t1/2 = (0.7 x Vd) / Cl, where Vd is volume of distribution and Cl is clearance. 

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Steady-state concentration (Css) occurs when the amount of a drug being absorbed is the same amount that’s being cleared from the body when the drug is given continuously or repeatedly. Steady-state concentration is the time during which the concentration of the drug in the body stays consistent.

Here’s a good way to think about it: Imagine a coworker is absent, and she left a delicious box of chocolates in her office. You can’t resist, and you take two candies. The next morning, you replace the candies so your office mate will never be the wiser. But you later discover she’s out again, so you boldly take three chocolates, and replace those the following morning.

As this continues, the chocolates are in a steady state, meaning the number of candies doesn’t change day to day. Every time a chocolate is taken, it’s replaced in the box. The input rate is the same as the elimination rate.

In pharmacokinetics, those chocolates are drug molecules, and they’re being replaced at the same rate—through new doses—that they’re being removed from the body. For most drugs, the time to reach steady state is four to five half-lives if the drug is given at regular intervals—no matter the number of doses, the dose size, or the dosing interval.

Half-life and Steady-State Concentration

A half-life is how long it takes for half of the drug to be eliminated from the body. For simplicity, let’s assume we administer a dose every half-life. If a single dose is given every half-life, half of the first dose will be cleared from the body before the next dose.

So, after the second dose, there will be 1.5 doses in the body. Half of that is eliminated and then the next dose is given, meaning there are now 1.75 doses in the body. At dose #5 (after five half-lives), there will be close to two doses in the body, which means one entire dose is eliminated each dosing interval.

If we continue dosing at the same frequency, the amount we dose will be eliminated during each dosing interval. As a result, drug concentrations in the body remain constant (steady). Another way to think about steady state:

  • After Dose 1: There are 0.5 doses left at the end of the dosing interval. This means we’re at 50% steady state.
  • After Dose 2: There are 1.5 doses in the body, then half is eliminated to leave 0.75 doses (75% steady state).
  • After Dose 3: There are 1.75 doses in the body, then half is eliminated to leave 0.875 doses (88% steady state).
  • After Dose 4: There are 1.875 doses in the body, then half is eliminated to leave 0.9375 doses (94% steady state).
  • After Dose 5: There are 1.9375 doses in the body, then half is eliminated to leave 0.96875 (97% steady state).

At 97% we’re considered to be at approximate steady state, where the rate of input equals the rate of elimination at one dose per dosing interval.

Calculating the Average Steady-State Concentration

Unfortunately, it’s not as easy as counting chocolates in a box; there are many formulas that are used to calculate various pharmacokinetic parameters—and from there, the average steady-state concentration. But a very simple way to remember it is that the average Css is the total exposure (AUC) over one dosing interval divided by the duration of the dosing interval.

Loading Dose and Steady-State Concentration

For a drug with a short half-life, steady state is achieved pretty quickly. If you have a drug with a long half-life and a patient who needs to achieve a therapeutic effect fast—for example, a critical care patient who needs antibiotics—how can you get that effect without having to wait days or weeks?

The bad news is that it always takes the same amount of time to achieve steady state: Four to five half-lives. The good news is, you can still achieve a therapeutic effect more quickly with a loading dose. A loading dose is a higher dose administered on treatment initiation. It will still take the usual four to five half-lives to reach steady state, but the initial concentration will be closer to the eventual steady-state concentration—which means the therapeutic effect will happen faster.

Factors That Affect Steady-State Concentration

Steady-state concentration can fluctuate depending on many factors, such as:

  • Drug clearance
  • Dosing interval
  • Dose

Drug clearance

Drug clearance (CL) dictates the rate at which a drug is eliminated from the body. The slower the clearance, the more of the drug will remain in the system and the higher the Css (and vice versa).

Demographic factors can alter a patient’s drug clearance rate, which then changes the Css. A patient’s weight, their excretory and metabolic functions, and other drugs they’re taking can all cause fluctuations. For example, say someone has renal failure. When they’re administered a drug that’s eliminated mostly via the kidneys, the steady-state concentration of that drug will be higher than it would be for someone with healthy renal function who’s getting the same dosage.

Dosing interval

The dosing interval affects steady-state concentration in a proportional way. The more frequently the drug is given, the higher the steady-state concentration values.

Dose

In the same way, higher doses will increase the Css values, and lower doses will decrease them. The dose required to reach and maintain steady state depends on the drug clearance rate, which in turn can be affected by the patient’s demographic.

Importance of Steady State in Drug Development

In studies conducted in special populations, and in studies for assessing drug interactions, you might be required to take any necessary measurements when drug concentrations have reached steady state.

Understanding steady state is also important for choosing the right dose and dosing interval to achieve a desired steady-state concentration—and for determining how long it will take for therapeutic exposures to be achieved during repeat or continuous dosing, since it might take several doses for a drug to achieve therapeutic benefit.

Conclusions

A good understanding of steady state is helpful since this value is key in certain drug studies. These concepts are also critical in selecting an appropriate dose and dosing frequency to achieve safe, therapeutic drug concentrations in patients.

Steady-state concentration can be affected by various factors, from the patient’s weight to the frequency of doses, and while you can speed up the therapeutic effects of a drug with a loading dose, you can’t speed up the time to steady state.

Do you have more questions about how steady-state concentration is used in drug studies? Contact us today to speak with one of our senior consultants.

What is time of half

The half-life of a drug is the time it takes for the amount of a drug's active substance in your body to reduce by half. This depends on how the body processes and gets rid of the drug. It can vary from a few hours to a few days, or sometimes weeks.

What is the time taken for a medication to fall to 50% of its original level is called?

The definition of elimination half-life is the length of time required for the concentration of a particular substance (typically a drug) to decrease to half of its starting dose in the body.

What can decrease the half

There are two factors that affect the elimination half-life of a drug, which include its clearance and volume of distribution. The clearance of the drug (CL) refers to the rate at which the body eliminates the drug from the body.

How many half

Four to five half-lives are necessary to reduce drug concentration by 95% to 97%. ▴ Duration of action of the drug. The longer the half-life of the drug, the longer the plasma concentration of the drug will remain above the minimally effective concentration.