M06.01.022 Pharmacologic calculations

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Pharmacokinetics Formula

1. Clearance

For first-order kinetics:

Cl = k \times V_d

2. Volume of Distribution

V_d = \frac{D}{C_0}

3. Elimination Rate Constant

k = \frac{0.693}{t_{1/2}}

4. Half-Life

t_{1/2} = \frac{0.693 \times V_d}{Cl}

5. Loading Dose

LD = \frac{C_{ss} \times V_d}{F}

6. Maintenance Dose

Maintenance\ Dose = \frac{C_{ss} \times Cl \times \tau}{F}

If τ = 1 (per hour basis):

MD = \frac{C_{ss} \times Cl}{F}

7. Rate of Infusion

R_{in} = C_{ss} \times Cl

8. Time to Reach Steady State

t_{ss} \approx 4-5 \times t_{1/2}

\frac{C(t)}{C_{ss}} = 1 - e^{-kt}

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