Compartmental+Models+-+II

Compartmental+Models+-+II - Compartmental Models - II...

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Compartmental Models - II Mathematical Masochism, Part II
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Bottom Lines First order elimination Body levels decay exponentially Natural log plots are linear (ln=2.3*log) Fraction Remaining: – C p,(t) = C p(0) e -kt or C p,(t2) = C p,(t1) e -kt Calculate k from time course data – ln [Cp (t1) /Cp (t2) ] / (t2-t1) = k half-life just a specialized case of this
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Area Under the Curve AUC Total = C p,0 /k • AUC Total = Dose/Cl • Rearrange : Dose = AUC TOTAL * Cl Dose = total administered ....it all leaves eventually . .. Dose = total eliminated (at infinite time) Dose = AUC TOTAL * Cl = Total Eliminated
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AUC for the masochists among us Could have done this another way Elimination Rate = dElim/dt= Cl*Cp Total elimination zero infinity dElim = Cl* zero infinity Cp*dt Total eliminated = Cl * AUC NOTE – WE MADE NO ASSUMPTIONS ABOUT HOW IT GOT INTO THE BLOOD We only assumed that elimination was 1 st order
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Body (Distribution?) What’s Accumulating and where? Out Loss Conservation of mass: Dose = A 0 = A + L A (t) = A 0 e -kt L (t) = A 0 – A 0 e -kt L (t) = A 0 * (1-e -kt ) - accumulation of drug in Loss Compartment
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Compartmental+Models+-+II - Compartmental Models - II...

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