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Theory and Modern Applications

Table 3 Model parameter values in Models C(i), (ii), and (iii) for \(t \in[0, 6]\)

From: Stability analysis of a diagonally implicit scheme of block backward differentiation formula for stiff pharmacokinetics models

Model

Parameter

Description

Value

Model C(i)

\(c_{0}\)

Initial concentration of drug dosage

500 units

\(k_{1}\)

Rate constant of drug in GI tract

0.9776 hour−1

\(k_{c}\)

Clearance constant

0.2213 hour−1

λ

Eigenvalues

−0.7448, −0.9776

Model C(ii)

\(c_{0}\)

Initial concentration of drug dosage

500 units

\(k_{b}\)

Rate constant of drug in bloodstream

0.9776 hour−1

\(k_{t}\)

Rate constant of drug in tissue medium

0.3293 hour−1

\(k_{c}\)

Clearance constant

0.2213 hour−1

λ

Eigenvalues

−0.0492, −1.4789

Model C(iii)

\(c_{0}\)

Initial concentration of drug dosage

500 units

\(k_{ab}\)

Rate constant of drug in arterial blood

0.9776 hour−1

\(k_{t}\)

Rate constant of drug in tissue medium

0.3293 hour−1

\(k_{c}\)

Clearance constant

0.2213 hour−1

λ

Eigenvalues

−0.2213, −0.3293, −0.9776