Pharmacokinetic Delivery and Metabolizing Rate of Nicardipine Incorporated in Hydrophilic and Hydrophobic Cyclodextrins Using Two-Compartment Mathematical Model
Use linear algebra package “(linalg)” in Maple.
Enter the governing equations (5) and (6) as follow:
Store the variables in “vars”:
Next, store the right hand sides of (5) and (6) in “eqs”:
Now use the “genmatrix” command in Maple to produce the coefficient matrix :
Specify the initial conditions.
Use “exponential ()” command in Maple to produce exponential () matrix:
Calculate the solution vector using “evalm” command and matrix multiplication “&*”:
The first row of “sol” is the solution for the concentration of species () and the
second row is the concentration of species ():
The concentration of species is obtained from the material balance equation (7):
Note that the concentration of the species are obtained as functions of the kinetic constants from the Tables 1 and 2
and the independent variable . Use the “pars” command to illustrate the results:
Next, substitute these values for the kinetic constants into the concentrations store as , , and :
Plot the concentration profiles for these values of the kinetic constants:
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