1. Patient Demographics
Ideal Body Weight (Devine):
Male: 50kg + 2.3kg * (Ht_in - 60)
Female: 45.5kg + 2.3kg * (Ht_in - 60)
Creatinine Clearance (Cockcroft-Gault):
[(140 - Age) * Weight] / (72 * SCr) (x 0.85 for females)
2. Exact Analytical Pharmacokinetics
One-Compartment Open Model with First-Order Elimination.
Multiple IV Bolus Dosing (Non-Steady State):
Calculates concentration after the nth dose at sampling time t.
Cp_n(t) = (Dose / Vd) * [ (1 - e^(-n*K*τ)) / (1 - e^(-K*τ)) ] * e^(-K*t)
Multiple Oral Dosing:
Calculates concentration accounting for absorption phase.
Cp = [F*D*Ka / Vd(Ka-K)] * [ (1-e^(-nKτ))/(1-e^(-Kτ))*e^(-Kt) - (1-e^(-nKaτ))/(1-e^(-Kaτ))*e^(-Kat) ]
Renal Adjustment: Elimination rate constant is dynamically scaled via: k_adj = k_pop * (CrCl_patient / 100).
Parameter Independence: $V_d$ and $Cl$ are treated as independent physiological variables. Adjusting $V_d$ manually alters the elimination half-life inversely ($t_{1/2} = 0.693 \times V_d / Cl$), but does not artificially alter $Cl$, correctly reflecting true clinical pharmacokinetics.