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Volume of distribution
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==Examples== {{main|Table of volume of distribution for drugs}} {{See also|Pharmacokinetics#Metrics}}{{Tone|date=November 2024}} If you administer a dose D of a drug intravenously in one go (IV-bolus), you would naturally expect it to have an immediate blood concentration <math>C_0</math> which directly corresponds to the amount of blood contained in the body <math>V_{blood}</math>. Mathematically this would be: <math>C_0 = D/V_{blood}</math> But this is generally not what happens. Instead you observe that the drug has distributed out into some other volume (read organs/tissue). So probably the first question you want to ask is: how much of the drug is no longer in the blood stream? The volume of distribution <math>V_D</math> quantifies just that by specifying how big a volume you would need in order to observe the blood concentration actually measured. An example for a simple case (mono-compartmental) would be to administer D=8 mg/kg to a human. A human has a blood volume of around <math>V_{blood}=</math>0.08 L/kg .<ref name="alberts_table">{{Cite book | chapter-url=https://www.ncbi.nlm.nih.gov/sites/entrez?cmd=Search&db=books&doptcmdl=GenBookHL&rid=mboc4.table.4143| chapter = Leukocyte functions and percentage breakdown|access-date=2007-04-14|via=NCBI Bookshelf|year=2005| vauthors = Alberts B | title = Molecular Biology of the Cell}}</ref> This gives a <math>C_0=</math>100 ΞΌg/mL if the drug stays in the blood stream only, and thus its volume of distribution is the same as <math>V_{blood}</math> that is <math>V_D=</math> 0.08 L/kg. If the drug distributes into all body water the volume of distribution would increase to approximately <math>V_D=</math>0.57 L/kg <ref name="Guyton_1976">{{cite book|title=Textbook of Medical Physiology| vauthors = Guyton AC |year=1976|edition=5th|publisher=W.B. Saunders|location=Philadelphia|page=[https://archive.org/details/textbookofmedica0005guyt/page/424 424]|isbn=0-7216-4393-0|url=https://archive.org/details/textbookofmedica0005guyt/page/424}}</ref> If the drug readily diffuses into the body fat the volume of distribution may increase dramatically, an example is [[chloroquine]] which has a <math>V_D=</math>250-302 L/kg <ref>{{cite journal | vauthors = Wetsteyn JC, De Vries PJ, Oosterhuis B, Van Boxtel CJ | title = The pharmacokinetics of three multiple dose regimens of chloroquine: implications for malaria chemoprophylaxis | journal = British Journal of Clinical Pharmacology | volume = 39 | issue = 6 | pages = 696β699 | date = June 1995 | pmid = 7654492 | pmc = 1365086 | doi = 10.1111/j.1365-2125.1995.tb05731.x }}</ref> In the simple mono-compartmental case the volume of distribution is defined as: <math>V_D=D/C_0</math>, where the <math>C_0</math> in practice is an extrapolated concentration at time = 0 from the first early plasma concentrations after an IV-bolus administration (generally taken around 5 min - 30 min after giving the drug). {| class="wikitable" |+Compounds with different V<sub>D</sub> for a 70 kg man<ref>{{Cite web |url= https://www.cambridgemedchemconsulting.com/resources/ADME/distribution.html |title=Distribution and plasma protein binding| vauthors = Swain C |website=Cambridge MedChem Consulting |language=en |access-date=2020-04-02 }}</ref> | '''Drug''' || '''V<sub>D</sub>''' || '''Comments''' |- | [[Warfarin]] || 8 L || Reflects a high degree of plasma protein binding. |- | [[Theophylline]], [[Ethanol]]|| 30 L || Represents distribution in total body water. |- | [[Chloroquine]] || 15000 L || Shows highly [[lipophilic]] molecules which sequester into total [[body fat]]. |- | [[NXY-059]] || 8 L || Highly charged [[hydrophilic]] molecule. |}
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