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Equation 14.6.5 Loading Dose
Rewriting Equation 14.6.2 with Dose expressed more explicitly as the Maintenance Dose.
Equation 14.6.6 Cpmax
Equation 14.6.7 Maintenance Dose
or
Equation 14.6.8 Maintenance Dose
In the previous example Cpmax was 15.5 mg/liter
A suitable loading dose can be calculated as Cpmax • V = 15.5 x 10 = 155 mg as a bolus which would give Cp = 15.5 mg/liter. This loading dose could be followed by 100 mg every 6 hours to maintain the Cpmax and Cpmin values at 15.5 and 5.5 mg/liter, respectively.
What we need is the maintenance dose, the loading dose, and the dosing interval.
Dividing Equations 14.6.2 by Equation 14.6.3
Equation 14.6.9 Cpmax and Cpmin provides 1/R
therefore
taking the ln of both sides
Solving for Τ gives
A dosing interval of 8 hours would be more reasonable and keeps the concentration between the limits of MTC and MEC. Thus with τ' = 8 hr and kel = 0.15 hr-1
From Equation 14.6.6
Equation 14.6.10 Maintenance Dose
Maintenance dose = 35 x 25 x (1 - 0.301) = 612 mg
Again we can round the value to a more realistic value, a maintenance dose of 600 mg every 8 hours.
This regimen should be quite suitable as the maximum and minimum values are still within the limits suggested. All that remains is to calculate a suitable loading dose.
This loading dose could be round (down) to a more suitable 850 or 800 mg. Let's use 800 mg.
The dosing regimen is then a loading dose of 800 mg followed by a maintenance dose of 600 mg every 8 hours. To check this regimen
Concentrations from the loading dose
NOTE the use of the loading dose in this equation and that the Cpmax is below the MTC.
Concentrations from the maintenance dose
and
Here we use the maintenance dose. Note, the Cpmax and Cpmin are below and above the MTC and MEC, respectively.
This answer can be expressed graphically.
Figure 14.6.2 Plasma Concentration after Multiple IV Bolus Doses
Calculator 14.6.2 Calculate Cpmin and Cpmax after Multiple IV Bolus Doses
Other practice problems involving the calculation of Cp at three times during a uniform dosing interval with Linear or Semi-log graphical answers or calculation of Cp at three times during a non-uniform dosing interval with Linear or Semi-log graphical answers.
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