Symbols D dose dosing interval CL clearance Vd volume of distribution ke elimination rate constant ka absorption rate constant F fraction absorbed bioavailability K0 infusion rate T duration ID: 894294
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1 Equations/Useful_pharmacokinetic_equ_512
Equations/Useful_pharmacokinetic_equ_5127 Symbols D = dose = dosing interval CL = clearance Vd = volume of distribution ke = elimination rate constant ka = absorption rate constant F = fraction absorbed (bioavailability) K0 = infusion rate T = duration of infusion Elimination rate constant CLkk069320693.ln(). Initial concentration CDV d CCe ee1 Peak (multiple dose) Average concentration (steady state) Cp Oral administration Plasma concentration (sin
2 gle dose) FDkVdkkktkt FDkV
gle dose) FDkVdkkktkt FDkVdkk max C AU C FDoseCl deVkCl Equations/Useful_pharmacokinetic_equ_5127 Plasma concentration (during infusion) Plasma concentration (steady state) Ck0Calculated clearance (Chiou equation) VdCCCCtt1221 Peak (single dose) CLTmax()CCemin()max() CLTmaxCCeminmax min CCeminmin )]([1minmaxTekTekeeCCeTkDVd Calculated recommended d
3 osing interval max()min()desireddesire
osing interval max()min()desireddesired DCkVTdesiredemax() CaebeAUCab VdVdVcareass CLmaleageweightcreatcreat CLfemaleageweightcreatcreat Equations/Useful_pharmacokinetic_equ_5127 Ke = 0.00293(CrCL) + 0.014 Metabolic and Renal Clearance = C l QClfu Cl = QC QClfu = Cl = RBF Cl = Cl = Cl = ionconcentra t Plasm a ionconcentrat urineflow Urine IBW = 50 kg + 2.3 kg for each inch over 5ft in height IBW = 45.5 k
4 g + 2.3 kg for each inch over 5ft in hei
g + 2.3 kg for each inch over 5ft in height ABW = IBW + 0.4*(TBW-IBW) Volume of Distribution PTPKVVV TTPfufuVVV AU C DoseCl deVkCl For One Compartment Body Model V DC0 tkeeCC0 For multiple I.V. bolus administration: tkkn k eeeeeeVDtCn 11)( at peak: t = 0; at steady state nat trough: t = )e(VDCekss11max eksssseCC maxmin If the dosing involves the use of I.V. infusion: For a single short-term I.V. infusion: = t for Cmax TkeeeTVkDC1max )(maxminTke
5 eCC For multiple short-term I.V. infusio
eCC For multiple short-term I.V. infusion at steady state: eek T k eeeTVkDC 11max )(maxminTkeeCC Last modified 2010 C:\Current Data\pha5127_Dose_Opt_I\equations\5127-28-equations.doc If the dosing equations): during infusion t = T so, at steady state t remembering T Dk0kVCL If the dosing involves oral administration: For a single oral dose: ktkeaaaeeekkVkDFC aeakkkkt1lnmax For multiple oral doses: a aeek t kktkeaaeeeekkVkDFC11 akekakkekektae 111ln