A Mathematical Review to Estimate the Fate of a Drug Following Open Two Compartment Model, When it is Administered by Intravenous Route A Mathematical Review to Estimate the Fate of a Drug Following Open Two Compartment Model, When it is Administered by Intravenous Route

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Sunandan Dey

Abstract

This paper deals with the application of Laplace Transform [L(f)(s) = F(s) = e-ts f(t)dt] to derive the
formula [(Cp


(t)= Ae-at+ Be-bt] and [Ct


(t)= Te-bt-Te-at] to estimate the fate of a drug in the mammillary body
with the prediction of the biological parameters [k, k12, and k21]. The numerical values of [k, k12, and k21]
which is estimated through the determination of the mathematical hybrid constants (A, B, a, b, T) also
predict the tissue concentration of the drug, biological half-life as well.

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