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The following message was posted to: PharmPK
To calculate the amount of drug in a peripheral compartment vs
time for a 2 compartment open model
(IV bolus to central with elimination only from central) I've
mass in peripheral compartment = K12*Dose(alpha-beta) x
(e-beta x t - e-alpha x t)
I'm working with a compound that shows distinct 3 compartment
behavior following IV bolus dosing and
I haven't been able to work out the analogous equations for
compartments 2 and 3.
Assuming central compartment dosing, elimination only from the
central compartment, with compartment
1 centrally positioned with connectivity to compartments 2 and
3 (k12/k21, K13/k31)........
can someone provide equations for the mass in compartments 2
and 3 over time?
Appreciate Your Assistance,
Gregg A. Timony, M.S.
Head, Toxicology and ADME
9393 Towne Centre Drive, Suite 240
San Diego, CA 92121
[Do you mean
mass in peripheral compartment = (K12*Dose/(alpha-beta)) x (e-beta x t
- e-alpha x t)
for the two compartment model.
The Laplace of the amount in compartment 3 is:
L(X3) = k13*(s+k21)*Dose/((s+alpha)*(s+beta)*(s+gamma))
The fingerprint method will help with the back-transform
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