# Understanding volume of distribution

One of the most misunderstood pharmacokinetic (PK) parameters is volume of distribution. First of all it has numerous abbreviations (V, Vd, Vz, Vss, V1, Vc, V2, etc.), and to make matters worse, many people incorrectly define the parameter. But, once you understand the meaning behind volume of distribution, you will have a solid grasp on the fundamentals of pharmacokinetics.

Let’s start with the basic definition of volume of distribution. The volume of distribution is a proportionality factor that relates the amount of drug in the body to the concentration of drug measured in a biological fluid. That’s it … a proportionality factor … nothing more. You can stump your professor, mentor, or other pharmacokinetic scientists with this little definition.

The power behind understanding volume of distribution comes from the explanation. Think about taking a 500 mg tablet that contains acetaminophen (Tylenol® or paracetamol for those European readers). You have just placed 500 mg of drug in your body, or mathematically:

Amount = 500 mg

Now imagine having a blood sample drawn from your vein about 1 hour later. From that blood sample, we measure the concentration of drug in the plasma (blood = plasma + red blood cells), and it is 16 8 μg/mL, or mathematically:

Concentration = 8 μg/mL = 0.008 mg/mL = 8 mg/L

Now, let’s ask a simple question: how much drug is in the body? We know what the concentration of drug is in the plasma, but we cannot convert that to a total amount without knowing the volume of the human container. In the case of acetaminophen, the volume of distribution is about 51 L. Now, you can multiply the concentration times the volume of distribution to arrive at the amount of drug in the body at 1 hour post dose:

Amount (1 hour post dose) = 8 mg/L * 51 L = 408 mg

Now we can compare the amount remaining in the body (408 mg) with the amount of drug administered (500 mg). As you can see volume of distribution is just a proportionality factor that helps convert between amounts and concentrations.

Volume of distribution is called a “primary pharmacokinetic parameter”, which means that this parameter depends on the physiologic properties of the body and the physiochemical properties of the drug. Volume of distribution is not derived from other PK parameters, instead it is used to estimate the “secondary” PK parameters.

This concept is similar to the primary and secondary colors. Primary colors are RED, YELLOW, and BLUE. These colors are the source for all other colors. Secondary colors are 50/50 mixtures of 2 primary colors, and they are ORANGE (RED + YELLOW), GREEN (YELLOW + BLUE), and PURPLE (BLUE + RED) [Image by Leopard Print]. Much in the same way, combining 2 primary PK parameters will give you a secondary PK parameter. I will give examples of this in a future post, but for now, remember that volume of distribution is primary PK parameter.

But what about all of those different terms? Well, each of the different volume of distribution parameters refer to either volumes associated with different theoretical compartments or different methods of calculating the volume of distribution. There is no consensus on which one is “right”, because each method has it’s advantages and shortcomings. Future posts will describe the details of each of these versions of the parameter.

At the beginning of this post, I indicated that understanding the definition of volume of distribution would provide significant insight into pharmacokinetics. Now that you understand the the volume of distribution is a proportionality factor, and not a physiologic value, I can explain why this is important. First, there are a few details on the human body that are necessary for this discussion; the human body is primarily (~70%) water, therefore we can think of the body as containers with water:

Body fluid/structure Actual volume (L)
Blood 15 7
Plasma 7 4
Whole Body 42

Drugs that have a volume of distribution 7 4 L or less are thought to be confined to the plasma, or liquid part of the blood. If the volume is between 7 4 and 15 7 L, the drug is thought to be distributed throughout the blood (plasma and red blood cells). If the volume of distribution is larger than 42, the drug is thought to be distributed to all tissues in the body, especially the fatty tissue. Some drugs have volume of distribution values greater than 10,000 L! This means that most of the drug is in the tissue, and very little is in the plasma circulating. The larger the volume of distribution, the more likely that the drug is found in the tissues of the body. The smaller the volume of distribution, the more likely that the drug is confined to the circulatory system.

I hope that helps you understand volume of distribution. It is a critical PK parameter upon which other concepts will be built. Don’t forget, volume of distribution is just a proportionality factor to relate the amount of drug to the measured concentration.

1. shai says:

so, how is the volume of distribution calculated? in an example you mentioned that acetaminophen has a V of 51L. where does this come from and does it vary from individual to individual?

thanks.

• Nathan Teuscher says:

Good questions. Volume of distribution is estimated as a parameter from a model fit of the data, or calculated in a noncompartmental analysis. As I noted, volume is a proportionality factor between the concentration measured and the amount of drug in the body. Thus, volume varies across individuals based on their physiologic makeup.

• roohi says:

so does changing the dose change the volume of distribution ,for the same individual ?

• Nathan Teuscher says:

In most cases, the volume of distribution does not change with dose. However it is possible that distribution is dose-dependent.

• C.H.B says:

Hello.
I am a Pharmacy student.
I have learnt about up and down regulation when using agonists or antagonists . But i didn’t understand it thoroughly.
Thank you so much!
Best regards,
C.H.B

2. Vibhu says:

You said that some drugs have Vd greater than 10000L……..and they are mostly distributed in the tissues…….

suppose they are almost completely distributed in the tissues but even then how can they occupy 10000L????

• Nathan Teuscher says:

Thank you for the question. You are correct that a human being does not have a volume of 10000 L!

The Volume of Distribution is not a physical volume, instead it is a proportionality factor between the amount of drug in the body and the concentration measured in the circulatory system. Drugs that reside primarily in the tissue will have small concentrations in the plasma. Imagine giving a dose of 100 mg (100,000,000 ng) and only measuring 10 ng/mL in the plasma. Also, lets assume 100% bioavailability. Given that Concentration = Amount / Volume, you can calculate the volume of distribution as 100000000 / 10 = 10,000 L.

The key is remembering that the Volume of Distribution is a proportionality factor, not a physical volume.

• Lynn says:

Hi,
Regarding the example above, does the total amount of drug include free drug molecules and drug molecules that are bound to plasma proteins etc?
Thanks.

• Nathan Teuscher says:

These examples are based on the total amount of drug in biological fluid.

Nathan

• Alex says:

Hi,
I’ve read that lowering specific plasma proteins (ex : acid drug-albumine) could increase the free fraction of a drug and thus increase its volume of distribution.

Would you say that protein binding is not considered in the normal calculation of the Vd?
Isn’t the measured ”concentration” usually a measure of the free fraction?

Thank you

• Nathan Teuscher says:

I have heard of theoretical arguments about plasma protein binding and volume of distribution changes; however, I have not seen it happen in practice.

• confusedpharmstudent says:

I have a question about your acetaminophen example in your article. was 51 L given somewhere or found on some other reference? say that we were looking for the volume of distribution of acetaminophen instead of how much of the drug is left in the body.

if concentration = amount/volume, flipping it around to find volume, you would get 500mg/8mg/L = 62.5 L. would 62.5 L be the volume of distribution?
Thank you!!

• Nathan Teuscher says:

Thanks for your question. The 51 L was taken from a published evaluation of the pharmacokinetics of acetaminophen.

The calculation of V can be performed using a variety of methods. Follow this link for the equations: http://learnpkpd.com/2011/03/31/the-difference-between-vd-and-vss/

Your equation is not accurate because you haven’t accounted for drug that has been eliminated from the body. At 1 hour post-dose, some of the drug has been eliminated, so it is less than 500 mg. There is no exact way of measuring the amount of drug in the body at a specific time, so you could not calculate Volume of distribution using the equation you listed.

Hope that helps!

3. MZK says:

drug with high Vd are distributed to tissues only small amount reaches plasma…? then what happens to the drug in tissues ? is it slowly released in plasma after the plasma drug being excreted out ? or drug remains in tissue for so long ?

• Nathan Teuscher says:

Your interpretation is correct. Drug molecules are constantly moving between tissues and the plasma. As a drug molecule is eliminated from the plasma, the drug molecules in the tissue move to replace it. Since movement from tissue to plasma slower than clearance from the plasma, this distribution process becomes the rate limiting step. Eventually all of the drug molecules leave the tissue and are cleared from the body.

• MZK says:

Thank YOu very much Mr. Nathan… thats very easy explanation i had to present on TDM to Physicians and your this post helped me alot… just have to ask can i ask u question when i feel stuck somewhere in PK of drugs 🙂

• Nathan Teuscher says:

I’m happy to help! You are welcome to ask questions anytime. You can post on my blog, or use the contact menu at the top of the page.

4. Nabeil says:

please Mr Nathen how dose Vd change with disease

• Nathan Teuscher says:

Nabeil,
Thank you for the question. Changes in the volume of distribution may occur with different diseases, but I haven’t found a lot of research on the topic. There is one publication from 1976 on the topic that you may want to review (Klotz U., Pathophysiological and disease-induced changes in drug distribution volume: pharmacokinetic implications. Clin Pharmacokinet. 1976;1(3):204-18.). The change in volume of distribution depends on the type of disease and how that disease affects the physiology of the individual.

5. Basil says:

Dear Nathan,

I have a few questions:

1) I might be missing something but the actual volume of blood in the body should be about 5.5 liter (male). How come that in your table it is 15?

2) Is it possible that Vd<Volume of plasma (drug conc measured in plasma)

3) Imagine that you work w poorly absorbed drug w absolute BA of c.a. 1%. So you administer it orally and measure a tiny fraction of it in the plasma. Will your PK model show a big Vd value because it thinks that all the drug sits in the tissues but instead 99% is excreted w feces?

• Nathan Teuscher says:

Basil, Thank you for your questions. Here are brief responses:
1. Total blood volume includes plasma as well as the cellular components of blood. It has been estimated that total blood volume is about 15 L.
2. It is possible that Vd is less than plasma volume. Remember, that volume of distribution is simply a proportionality factor between measured concentrations and amount of drug in the body. While this situation is rare, it is possible.
3. As I mentioned in answer #2, Vd is a proportionality factor. If you don’t know the absolute bioavailability of a drug, then you cannot calculate Vd, you can only calculate Vd/F. However, if you know the absolute bioavailability, then you are calculating the actual proportionality factor between the amount of drug and concentration of drug in the body. This number is unaffected by the bioavailability, therefore it would be incorrect to say that Vd is large because of low bioavailability. If on the other hand, you don’t know the absolute bioavailability of your compound, then large values of Vd/F could be due to low bioavailability or wide tissue distribution.

I hope that helps.

-Nathan

6. Summer says:

Till now I do not understand what is the difference between Vd and apparent Vd ?? ,,, and is it right that vd = dose \ concentration of drug in blood

• Nathan Teuscher says:

Vd is the volume of distribution which is a proportionality factor between the amount of drug in the body and the concentration measured in blood/plasma/serum. Apparent Vd is Vd/F, or volume of distribution adjusted for bioavailability. Following oral administration, unless you know the absolute bioavailability, you cannot determine the actual volume of distribution. Many drugs are not able to be administered intravenously, making it very difficult to determine the absolute bioavailability. Therefore many reports will list the “apparent Vd” or Vd/F.

7. mudenda siachifuwe says:

thank you,very educative

8. Ashok says:

if volume of distribution if proportionality factor then factor should not change from one person to another. it should stay constant. And you are saying “volume varies across individuals based on their physiologic makeup.”

• Nathan Teuscher says:

Ashok,

Thank you for your comment. I believe both statements to be accurate, but I can see the confusion that it might cause. Volume of distribution is a mathematical term that represents the relationship between the amount of drug in the body and the concentration measured in the blood or plasma. Another similar term is “lung capacity” or amount of air that can be held in the lungs. Both of these are mathematical terms; however, they are impacted by changes in physiology. With respect to lung capacity, individual people may have different capacities based on body size, gender, race, and disease status. And individuals may have changing lung capacity if key factors change (e.g., body weight, smoking activities, tumor growth, etc.). Thus lung capacity can change within an individual person, and it is different across different people. The volume of distribution is similar, but the factors are different (e.g., % body fat, body weight, gender, drug permeability, etc.). Thus, individuals may have changing volume of distribution if their factors change, and different individuals will have different volume of distribution values.

Hopefully that helps you differentiate between a proportionality factor, and a mathematical constant (unchanging value).
Best regards,
Nathan

• Ashok says:

Thanks Nathan

9. Qiangang Zheng says:

Dear nathan, As you mentioned, Vd= Dose amount/ concentration in blood. But the concentration in blood is lower and lower with the time pasted. How to understand this?

• Nathan Teuscher says:

Qiangang,

The equation used, is based on the initial drug concentration in blood at time=0, or the theoretical maximum. Because Vd is a ratio, the true equation is Vd = amount of drug in the body/concentration of drug in the blood. Unfortunately it is very difficult to know the amount of drug in the body after dose administration because of the elimination processes which remove drug from the body.

Nathan

10. Jamie says:

Hi,
I understood the VD of APAP to be ~ 1L/Kg, or 0.95 L/kg. In the example the VD is 51, so the patient is around 118 lbs give or take. If you took a 70kg person, with a larger VD, and given the same example, a measured concentration of 8 mg/L, the calculated amount is in excess of the administered dose. What am I missing? Thanks

• Nathan Teuscher says:

Thanks for the question. As you indicate, a larger person would have a larger Vd (~67 L for a 70 kg person). With a larger Vd, the concentration measured in the plasma will be lower since the concentration is equal to the amount divided by the volume (C = A/V). Thus, if there was 408 mg of drug in the body, the measured concentration would be 6 mg/L. You are correct that it would be unlikely to measure 8 mg/L in a larger individual.

Thanks for the question.

11. R.S says:

I don’t understand how you determined blood volume and plasma volume. My understanding is that normal plasma volume is 0.04L/kg and blood volume 0.07L/kg. These values are 50% less than you describe. How do you explain this?

• Nathan Teuscher says:

Thank you for your comment. The post has been updated with more accurate estimates of plasma and blood volumes.

12. Amita pandey says:

why volume of distribution is greater in renal failure and hepatic failure .

• Nathan Teuscher says:

Amita,

In renal failure, patients retain water because they cannot excrete salts and fluids through the kindeys. The increased amount of water in the body can increase the volume of distribution for hydrophilic drugs.

In hepatic failure, plasma protein production decreases which also leads to fluid retention. The increased fluid in the body can increase the volume of distribution for hydrophilic drugs.

Nathan

• Julia says:

Hi Nathan,
I still not understand, maybe you can give me some reference to read?
in renal failure, more fluids was in systemic circulation, so the amount was diluted, then lower conc and higher Vd.
but in hepatic failure, more fluids was more likely retented in the tissue, so the systemic circulation actually may have less fluid, if more drug stay in the tissue, then it still should be then lower conc and higher Vd?
am I right about the mechanism?

13. Amita pandey says:

• Nathan Teuscher says:

Hi Amita,

I’m not sure I understand your question. Volume of distribution is an independent pharmacokinetic parameter that depends on the physiology of the body and the properties of the drug molecule.

Nathan

14. Katharine says:

I’m trying to understand how medication dosing might change after one has a gastric bypass procedure. If one takes a drug with a large Vd, meaning the drug distributes into adipose tissue, and then loses 100 pounds of fat after bariatric surgery, how does this affect the dose?
Would this be the same with a small Vd drug since after surgery there would then be less total body fluid for distribution?
Thank you so much!

• Nathan Teuscher says:

Katharine,

Excellent question. Significant physiological changes may impact the pharmacokinetics and pharmacodynamics of drugs. Before answering your question, let’s consider 2 separate situations. The first is a drug with a very large volume of distribution, but that the Vd for each patient is about the same, regardless of weight. The second drug has a large volume of distribution, however, Vd is proportional to body weight, which means as weight increases, so does Vd.

Now to answer your question. For Drug 1, a large change in weight is unlikely to affect the Vd because the drug distributes to all tissues in the body, not just fat tissue. For Drug 2, a large change in body weight would affect Vd, and you would likely decrease the administered dose.

So, you to address the problem for a specific drug, you will need to know the volume of distribution AND the relationship of that parameter to body weight.

Thanks for the question!
Nathan

• Julia says:

Hi Nathan,
I don’t agree with you with drug 1.
If the drug evenly distributes to all tissues in the body, then a large change in body weight would still affect Vd;
if the drug only distributed to all the other tissue but not the fat, and we assume the 100 pounds they lose is pure fat after bariatric surgery, then that could be the case for drug 1.
Julia

• Nathan Teuscher says:

Julia,

Thank you for your comments. I will answer both questions here. Most texts on pharmacokinetics have some discussion of volume of distribution. Some of the most well-known texts are “Pharmacokinetics” by Gibaldi and Perrier, and “Clinical Pharmacokinetics” by Rowland and Tozer.

In certain disease states, volume of distribution may change based on the fluid status of the individual. But the parameter “Volume of distribution” is still a proportionality factor between the amount of drug in the body and the concentration at the site of measurement. When the body composition changes (e.g., fluid retention or dehydration), the proportionality factor also changes. A quick way to think about this is let’s say you drink 0.5 L of water. The volume of distribution for a drug will not increase by 0.5 L because you drank the water. The Vd would only change if there was some fundamental shift in the body composition.

I’m a little unclear about your question regarding volume of distribution and weight. I agree that for some drugs, Vd is correlated with body weight. And if there is a large change in body composition (e.g., loss of fat after bariatric surgery), then the Vd for that subject will change because their body composition changed. The point of this post is that Vd is not simply volume of tissue … if that was the case, Vd could never be larger than about 40-50 L … and we know that some drugs have Vd values of 10,000 L!

In conclusion, my post does not suggest that body weight does not affect Vd, rather my post clarifies that Vd is a function of drug physiochemical properties, body composition, and body weight.

I hope that helps!
Nathan

15. Mary says:

What are the characteristics of a drug that determines the Volume of Distribution? For example, does a hydrophilic drug have a low Vd, while a lipophilic drug will have a high Vd? What other aspects of the drug molecule determines the Vd?

• Nathan Teuscher says:

Mary,

There isn’t a set list of molecular characteristics that determine the Vd for a drug. In general, you are correct that hydrophilic drugs tend to have low volume of distribution and lipophilic drugs have a high volume of distribution. But the specific Vd for a molecule cannot be predicted (in my opinion) from pysiochemical properties alone. The Vd is a proportionality factor between the amount of drug in the body and the concentration of drug measured in some fluid in the body. Thus Vd can be different for each fluid that is measured. Additional aspects that can affect Vd are transporter systems, tissue binding, and sequestration of the drug. Ultimately the best way to determine Vd is to measure the concentration-time profile.

Nathan

16. Alexander says:

Hi! I think it was a good description but i am confused over one thing.
How can you determine the volume of distribution for certain drugs? For example drugs with a volume of distribution of 10 000, that means that they have been distributed to the tissues to a large extent. But isn’t the concentration of the drug in the plasma the only thing that we can measure? So based on the concentration of the drugs concentration in plasma, how is it possible to know if it has been distributed to the tissues or not? (With the volume of distribution of course, but i dont understand how it is possible to found such a value for different drugs).

Best regards
Alexander

• Nathan Teuscher says:

Alexander,

Thanks for the question. Volume of distribution is simply a proportionality factor relating the amount of drug in the body to the concentration you measure in a biological fluid (e.g., plasma). As you correctly state, you cannot be certain that a drug enters tissues unless you measure it in those tissues. The volume of distribution makes the assumption that the drug distributes evenly and instantaneously through the body. By measuring the concentration in one location, we assume that the same concentration occurs throughout the body. Using those assumptions and the single measurement, we can calculate a theoretical volume. Again, this is simply a proportionality factor to help us with calculations that relate dose to concentration.

Nathan

17. Michael says:

Thank you for this great explanation, Nathan.

I want to ask about the difference between Distribution and Volume of Distribution. For instance, Vancomycin is widely distributed in most tissues and fluids (except poor CSF and lung penetration). But it is also my understanding that Vancomycin has a small Volume of Distribution due to its hydrophilicity, i.e. it likes to be in body fluids and not fatty tissues.

I believe the same could be said of the Aminoglycosides. Gentamicin is widely distributed, but has a small Volume of Distribution.

So it seems that widely distributed drugs have a small Volume of Distribution? Am I missing something?

Thank you very much for your help with this!

Michael

• Nathan Teuscher says:

Michael,

Thank you for your question. It can be very confusing when the same word is used multiple times for different things. The PK parameter “Volume of Distribution” is a proportionality factor that relates the amount of drug in the body to the concentration measured in some biological fluid. It is simply a math term that helps us with our equations. The “distribution” of a drug generally refers to either the process or extent to which a specific drug molecule moves through tissues in the body. Thus, you can have a drug the “distributes” to a specific organ, yet has a small volume of distribution. This is common with agents that might take advantage of some targeting moiety.

With respect to Vancomycin, it has a volume of distribution of approximately 0.7 L/kg (or 49 L for a 70 kg person). That is larger than total body water (42 L), which means that it distributes to more than just the total body water. It gets into the tissues. The volume of distribution for Vancomycin is not considered small, although it is much less than some other drugs (e.g., Digoxin has a Vd of 500 L). I believe a “small volume of distribution” would be less than 15 L (<0.2 L/kg). Anything larger than 42 L (>0.6 L/kg) would be considered large. Thus, aminoglycosides would fall into the moderate to large volume of distribution category for me … which is consistent with their distribution to most of the tissues of the body.

I hope that helps!
Nathan

18. Raja says:

what is the difference between Vd and Vdss.In single dose PK study which is more approprite to use.

19. Raja says:

Dear Michel,
Thanks for sharing the article. I want to understand for oral dose, which is the most suitable volume of distribution to be presented (Vd/Vz).Also while calculating volume of distribution by non-compartmental we use dose*F/Kel*AUC.But some of the software(e.g Winnonlin) does not consider ‘F’ in their calculation. is it correct?
regards
Raja

• Nathan Teuscher says:

Here are some equations for estimates of volume of distribution:
Vz = CL/kel
Vss = D*AUMC/(AUC^2)
Vdarea = FD/AUC/kel

Many of these are simply manipulations of each other (Vz and Vdarea are different ony by substitution of FD/AUC for CL).

Most software packages calculate V/F if the value for F is not known for an extravascular dose administration. So F is considered, it just isn’t calculated. At that point, you will be reporting the “apparent” volume of distribution. The only way to accurately estimate the real volume of distribution is to administer an IV dose.

20. Michelle says:

Hi! A question about large Vd (1100L – 3800L) and half life (12hrs).
It would seem to me that drugs with a large Vd will redistribute to plasma for a very very long time, therefore making effective half-life of a very long duration.
The med in question is duloxetine (Vd up to 3800L) which was discontinued 2 months ago. I’m suspecting interaction with mirtazapine (clinical picture of serotonin syndrome), even though duloxetine has not been ingested for 2 months!
Thanks for this great site! – Michelle

21. fufi says:

How does volume of distribution relate to weight loss?

• Nathan Teuscher says:

I don’t think there is a single answer to that question. Volume of distribution is a theoretical volume that is a proportionality factor between the amount of drug in the body and the concentration of drug measured in some fluid. Thus volume of distribution may change with weight, and it may not. It depends on the physiochemical properties of the drug in question and the type of weight loss.

22. Vighnesh says:

Thanks.

• Nathan Teuscher says:

There is no relationship between loading dose and Vd. One is a specific measurable item (loading dose), and the other is an experimentally determined PK parameter (Vd).

23. Dinesh says:

I have to mix 10 mg of LPS (E. coli lippopolysaccharides) in 1 ml of PBS (phosphate buffer solution). and inject it @4 micro liter (0.004 ml) into mice. i don’t have small syringe, so i want to increase the solute and solvent such that it is equivalent (concentration) to previous solution (10 mg in 100 ml). can you help me how much LPS should be added to PBS, so that If I inject 0.25 ml into mice, the effect would be same as if it were injected as previous dose.

• Nathan Teuscher says:

Dinesh,
The original solution is 10 mg LPS/1 mL PBS or 10 mg/mL. You inject 0.004 mL. Thus you have injected 0.04 mg of LPS (0.004 mL * 10 mg/mL = 0.04 mg). If you want to inject 0.25 mL at the same dose of LPS, you would calcuate the target concentration (0.04 mg / 0.25 mL = 0.154 mg/mL). That means you can add 0.154 mg of LPS to 1 mL of PBS to get the 0.154 mg/mL solution. Alternatively, you can add 1.54 mg of LPS to 10 mL of PBS to achieve the same final concentration.
Nathan

24. Maitri Sanghavi says:

Dear Nathan,

Really good job!!!!

I have reas somewhere that there are various types of volume of distribution. is it so?? and if yes then kindly elaborate each

Thanks!!!

25. simo says:

hi Nathan, how does the volume of distribution of a drug relate to its ability to cross the blood brain barrier?

• Nathan Teuscher says:

There is no direct correlation, but generally, compounds with large volumes of distribution have good penetration across the blood brain barrier. This relationship generally occurs because lipophilic molecules have good BBB penetration, and they have large volumes of distribution.

– Nathan

26. Zahid Manzoor says:

Dear Nathan,
How can we calculate the Vc and Vdss of an i.v. administered drug which obey two compartmental model?

• Nathan Teuscher says:

For a 2-compartment IV model, Vc = V1 and Vss = V1 + V2.

27. Andrea says:

Does the volume of distribution tell you about the characteristics of the drug administered. For example, can you determine if the drug is basic or acidic based off the volume of distribution?

• Nathan Teuscher says:

Andrea,

Thank you for your question. The volume of distribution does not tell you much about the physiochemical properties of a drug. In general, drugs with large volume of distribution are more lipophilic than drugs with small volumes of distribution; however, that is not always true.

Nathan

28. Beth says:

Nathan, I’m a first year PharmD student and I am stumped on a homework problem…I have a chart of “data” with Time (hrs) and Concentration (ng/mL) for an hypothetical drug administered via IV. I have graphed the data on a log-linear scale. Can you give me some pointers on how to take the information I have and use it to calculate the volume of distribution of the drug? If Vd=IV dose/plasma drug concentration, how do I use and interpret “plasma drug concentration”?

• Nathan Teuscher says:

Hi Beth,

If you extrapolate the concentration-time curve from the first data points back through the origin (y-axis), you can estimate the concentration at time zero (also called C0). Then you can determine the Volume of distribution using the following equation:
Vd = Dose/C0

Nathan

29. Dr.B.V. Sai Chandran says:

Dear professor,

I am a cardiac surgeon. You made it so easy to understand the concept of Vd . So nice of you for your patient teaching. thanks a million. Actually I wanted to learn this concept in relation to the drug amiodarone which was bothering me for a long time.

30. D Williams says:

Thank you for posting this article, it helps me to learn this subject at a comfortable pace. Are there online resources which can give specific pk/pd details to aid personal analysis, particularly datasets of hourly readings of plasma concentrations from individual subjects? I was thinking of using such data to create my own tables and charts which I can then try to interpret first-hand.

• Nathan Teuscher says:

I am not aware of PK datasets available for that purpose. I generally create my own … but for people new to the area, that can be difficult. I will add this to my list of to-do items and it should show up on my website soon. Thanks for the suggestion.

– Nathan

31. SHAH HUSSAIN says:

very nice and easy

32. rizwan hafeez says:

Thnks alot it was one of the most confusing topic but you made it very easy to understand 🙂 May Allah give you brilliant success in every field of life

33. rizwan hafeez says:

Hi sir,
as you mentioned that the concentration in formula will be taken at time zero or Co but at Co the maximum concentration will be in plsama soo the Vd will b very small ,., w? Either we should wait until complete distribution of drug but at that time our concentration will not b Co or Cmax. Wht iam missing?

• Nathan Teuscher says:

I’m not sure I understand your logic or question. Following IV administration, the concentration at time zero is at its peak and is the best way to estimate the proportionality factor between the amount of drug (dose), and the concentration of drug (C0).

Nathan

• rizwan hafeez says:

obviously concentrtion will be at peak in time zero but meak in plasma not in tissu becasue at that time distribution will not have been started so all concentrain wil be in plasam showing low volume of distribution and if we wait fro the distribution phase then how we,ll be ale to finde Co

34. Kian says:

Mr. Teuscher,

Thank you very much for helping to clarify this concept for me!

I’m wondering whether you could settle a discussion I’m having with one of my peers: Is there a tendency or correlation for drugs that have a low Vd (and so stay within the plasma/interstitial fluid) to have local effects in that area alone (so for example; act on the endothelial receptors of the vascular system but don’t have to cross the membrane)? So could you categorically say that low Vd drugs are used for vascular/blood problems (for example)?

We’re VetMed students so we don’t have huge knowledge on this and we’re trying to simplify pharmacology as much as possible!

• Nathan Teuscher says:

Kian,

Thank you for your question. Volume of distribution cannot be directly correlated with the drug target. As an example, some biological drugs (e.g., monoclonal antibodies) have very small volumes of distribution, but they have very tissue-specific activities that have nothing to do with the vasculature. Volume of distribution is simply a proportionality factor between the amount of drug in the body and the concentration measured in some biological fluid.

Nathan

• Kian says:

Thank you very much!

Dear Nathan,

Is there any reference suggesting the species differences in volume of distribution as it is depend upon e.g., % body fat, body weight, gender, drug permeability, etc. Thus, individuals may have changing volume of distribution if their factors change, and different individuals will have different volume of distribution values.

• Nathan Teuscher says:

There are many publications that demonstrate that volume of distribution changes based on body weight, disease status, or other factors. Each drug is different, so you can’t make a generalization about all drugs.

Nathan

36. Shiv says:

Hi Nathan,

How to define Low, Moderate and High Volume of distribution. What are the numbers or limits to conclude Low, Moderate and high Vd or Vss. Is it based on the total body water in the respective species.

Thanks & Regards,
Shiv

• Nathan Teuscher says:

Shiv,

I don’t usually categorize drugs by their volume of distribution. Some people use the terms “large Vd” or “high Vd” to indicate that a drug is widely distributed throughout the body, but there are no firm “numbers” that are relevant. As I noted in the post any Vd larger than 42 L (for a human) would indicate that the drug distributes beyond the aqueous compartment. Similar numbers can be obtained for different species. In the end, categorizing a drug by it’s volume of distribution doesn’t really help someone understand its pharmacokinetics.

Nathan

37. Devin Wilson says:

I think the term “distribution” in Vd is confusing when thinking about IV meds. If you were to measure the drug concentration in the blood immediately following IV administration (time zero = Co), there has been no “distribution” yet. So I don’t see how you could conclude anything at about how a drug distributes in the body at Co by using Vd. You would need to take blood samples at various points in time to fully understand how a drug distributes in the body (while also factoring in metabolism and clearance at each of those time points). Does this make sense?

• Nathan Teuscher says:

Devin,

I agree that the term “distribution” can be confusing, but it has been used for over 50 years, and I think we are stuck with it. A more accurate term is simply “Volume” and it refers to the proportionality factor between the amount of drug in the body and the concentration measured in a biological fluid. So Volume really doesn’t tell us a lot of direct information about distributional processes, but we can make some generalizations based on the estimated value of the proportionality factor.

Your comments make sense. The calculation of Volume is simply a mathematical way of estimating the parameter. There is no real way to sample blood concentrations at time zero … but we can estimate C0 using log-linear extrapolation. And the estimated (or theoretical, if you prefer) concentration at time zero is proportional to the amount of drug administered, and that proportionality factor is the Volume (or Vd).

Nathan

38. Victor Owusu says:

pls, my question is this,

if you subtract the 408mg from 500mg of paracetamol administered, it will be 92mg, how do we call the 92mg. where has the 92mg left to??

• Nathan Teuscher says:

Victor,

Thank you for the question. The 408 mg number comes from a sample drawn 1 hour after the drug was administered. So the 92 mg has been eliminated from the body through metabolism or excretion.

Nathan

39. Victor Owusu +2330243142073 says:

pls answer this question for me

I want to know the effect of high volume of distribution of drugs on foetus and on lactation

• Nathan Teuscher says:

Victor,

There is no specific correlation that I am aware of. Volume of distribution is only a proportionality factor between the amount of drug in the body and the concentration of drug measured in a biological fluid.

Nathan

40. Victor Owusu +2330243142073 says:

ooh, thank you for that

if so( no correlation), then I want to know why some drugs are not meant for pregnant women and lactating mothers. the mechanism of such drugs or properties of those drugs that make them able to reach the foetus and also be be excreted in breast milk. plz

• Nathan Teuscher says:

The question of safety of a drug for pregnant and lactating mothers depends on the collection of safety data in those specific types of patients.

41. Shima says:

Nathan Sir,
How can pH value affect on Distribution?
what’s mean that Vd of digoxin is 500L in patient with 70kg??

• Nathan Teuscher says:

Shima,

I am not aware of a situation where pH has an effect on volume of distribution.

Volume of distribution is a proportionality constant that relates the amount of drug in the body to the concentration that is measured in some biological fluid. It is not a physiologic volume, that is why digoxin can have a volume of distribution that is much larger than total body water.

Nathan

42. rahul says:

i want to know whether volume of distribution varies in direct proportion to body weight, please justify

• Nathan Teuscher says:

Rahul,

Volume of distribution is a PK parameter that depends on the physiochemical properties of a drug. For some drugs it is related to body weight and for other drugs it is not.

Nathan

43. Paulina says:

Dear Nathan,

I saw in your previous comments that volume of distribution can be small (less than volume of plasma). The value that I obtain for Vd is 0.005 L, could it be that small? Especially, that this is red blood cell compartment (we consider separetly red blood cells and plasma compartments in the model)

Sincerely,

Paulina.

• Nathan Teuscher says:

Paulina,

Yes a value of 0.005 L is possible. The volume of distribution is simply a proportionality factor between the amount of drug in the body and the concentration measured in the matrix of interest. It does not refer to a real volume.

Nathan

44. mohammed says:

hello…
I am a pharmacy student and our doctor give us homework: what are the types of volume of distribution?
so can u help me plz

45. Umesh says:

Thank on Vd concept

46. Wetkos Dayom says:

It was indeed very helpful.Thanks so much

Hi

how can i convert V/F to Vd. I mean the Software which i have used for PK Parameters determination showing units (mg)/(μg/ml). But unit of Vd is L/Kg. Kindly give me better solution

• Nathan Teuscher says:

V = V/F * F
To complete units conversion, you just need to simplify mg/ug and then convert mL to L. To get L/kg you will need to divide by the individual body weights.

48. Sophie says:

Hi, thanks for this great article. I have come across another formula in other web where Vd= dose/ (Total AUC*Kel). Is this CORRECT? What is the difference with Vd= dose/ Co in your article?

I see Vd= dose/Co, where Co= initial concentration of drug at t=0.
So i will need to draw log concentration vs time to get Co (y-intercept) from the graph, right?
After getting the value, SHOULD i antilog the y-intercept value to get the true value of Co before i use it in the equation (as the y-intercept value is log Co but not Co)?

Thanks,
Sophie

• Nathan Teuscher says:

Sophie,

When you use Kel to calculate Vd, that is called Vd_lambdaz. It can be used, but is highly dependent upon the terminal elimination rate constant, and is only accurate for a drug that exhibits 1-compartment kinetics. Using Vd = Dose/C0 only applies to IV administration.

If you back extrapolate to C0, you will need to extrapolate on the semi-log scale and then convert to the the normal scale to use the value of C0.

Nathan

• I have a question : for a two-compartment-body model drug from the central compartment -quantifying urinary and metabolic elimination does not change with time after drug administration. Is that correct?

• Nathan Teuscher says:

If clearance is linear, then the rate of drug elimination does not change with time.

Nathan

• Sophie says:

Hi Nathan,

Thanks,
Sophie

49. ram paul says:

Hello,can u give the relationship showing the greater the free concentration of drug in plasma,larger its volume of distribution….

Thank u..!!!

50. Devagiri A says:

Nathan Sir,

Can you please comment on Vd for injectable Liposomes, since when should consider Vd? while in circulation or after Liposome deposition in tumor cell or release of drug into tumor from liposome? Bcoz during circulation also drug release in plasma/during accumilation also releases ?