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Summary of Pharmacokinetics Core Equations
Tom Hsiung, B.S. Pharm
Amount of Drug Absorbed or
Raching the Systemic Circulation = (๐‘บ)(๐‘ญ)(๐‘ซ๐’๐’”๐’†)
F: Bioavailability factor
S: Fraction of the administered dose that is the active drug.
Administration Rate RA =
(๐‘บ)(๐‘ญ)(๐‘ซ๐’๐’”๐’†)
๐‰
RA: The administration rate is the average rate at which absorbed drug
reaches the systemic circulation.
ฯ„: Dosing interval
The Fraction of Free Drug Concentration or ๐Ÿ๐ฎ =
๐‘ช ๐’‡๐’“๐’†๐’†
๐‘ช ๐’ƒ๐’๐’–๐’๐’…+๐‘ช ๐’‡๐’“๐’†๐’†
Fraction of Unbound
C free: Serum concentration of free or unbound drug
C bound: Serum concentration of bound drug
Low Plasma Protein Concentrations
๐‘ช๐‘ต๐’๐’“๐’Ž๐’‚๐’ ๐‘ฉ๐’Š๐’๐’…๐’Š๐’๐’ˆ =
๐‘ชโ€ฒ
(๐Ÿ โˆ’ ๐’‡๐’–) [
๐‘ทโ€ฒ
+ ๐’‡๐’–
๐‘ท๐‘ต๐‘ณ ]
CNormal Binding: The plasma drug concentration that would be expected if the
1/3
patientโ€™s plasma protein concentration were normal.
PNL: The normal plasma protein. An average normal albumin
concentration is 4.4 g/dL (range: 3.5 to 5.5 g/dL).
Cโ€™: The patientโ€™s plasma drug concentration
Pโ€™: The patientโ€™s plasma protein concentration
fu: Fraction of free drug concentration or fraction of unbound
Loading Dose =
(๐‘ฝ)(๐‘ช)
(๐‘บ)(๐‘ญ)
V: The volume of distribution
C: The desired plasma level
Incremental Loading Dose =
(๐‘ฝ)(๐‘ช๐’…๐’†๐’”๐’Š๐’“๐’†๐’… โˆ’๐‘ช๐’Š๐’๐’Š๐’•๐’Š๐’‚๐’)
(๐‘บ)(๐‘ญ)
Incremental Loading Dose: The additional loading dose that will be
required to achieve a higher plasma concentration (Cdesired) than the
present concentration (Cinitial).
Clearance Cl =
(๐‘บ)(๐‘ญ)(๐‘ซ๐’๐’”๐’†/๐‰)
๐‘ช๐’”๐’” ๐’‚๐’—๐’†
Cl: Clearance represents the theoretical volume of blood or plasma which
is completely cleard of drug in a given period.
Css ave: The average steady-state drug concentration
ฯ„: Dosing interval
2/3
Maintence Dose =
3/3
(๐‘ช๐’)(๐‘ช๐’”๐’” ๐’‚๐’—๐’†)(๐‰)
(๐‘บ)(๐‘ญ)
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