PCL201 Master Eq Sheet

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1
What is the equation for bioavailability?

$F = \frac{AUC_{PO}}{AUC_{IV}}$$
2
What is the formula for the first-pass effect? (where f is the fraction absorbed, and E is the first-pass extraction)

$F = f(1 - E)$$$
3
How is volume of distribution (Vd) defined?
$ V_d = \frac{Dose}{C_0} $$
4
What is the equation for the elimination rate constant (k)?
$k = -\text{Slope} \times 2.303$$
5
How do you calculate plasma drug concentration over time?
$C_2 = C_1 e^{-k (t_2 - t_1)}$$
6
What is the equation for drug concentration at a given time?
$C_t = C_0 e^{-kt}$$
7
What is the formula for half-life (t1/2)?
$t_{1/2} = \frac{\ln(2)}{k}$$
8
What is the equation for total body clearance?
$Cl = k \times V_d$$
9
What is the equation for hepatic clearance/ general organ clearance?
$Cl_{\text{H}} = Q_H \times \left( \frac{C_{\text{blood in}} - C_{\text{blood out}}}{C_{\text{blood in}}} \right)$$
10
What is the equation for renal clearance?
11
How do you calculate IV bolus concentration?
$C_{\text{target}} = \frac{D}{V_d}$$
12
What is the equation for IV bolus dose?
$D = C_{\text{target}} \times V_d$$
13
How do you calculate an oral dose?
$D = \frac{C_{\text{target}} \times V_d}{F} $$
14
What is the equation for steady-state concentration?
$Css = \frac{Q}{Cl}$$
15
What is the formula for the IV loading dose ?
$L_d = C_{\text{toxic}} \times V_d$$
16
How do you calculate the oral loading dose?
$L_{\text{d oral}} = \frac{C_{\text{target}} \times V_d}{F}$$
17
What is the main equation for the maintenance dose?
$D_m = Css \times Cl \times \ T_m$$
18
What is an alternative way to calculate maintenance dose?
$D_m = (C_{\text{tox}} - C_{\text{ther}}) \times V_d$$
19
What is the equation for dosing interval?
$T_m = \frac{D_m}{Css \times Cl}$$
20
How do you calculate the rate of administration (ie. infusion) for constant infusion IV?
$Q = Css \times Cl$$
21
How do you calculate the accumulation ratio for multiple dosing?
$R = \frac{1}{1 - e^{-k\tau}}$$
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