Research Article

# Pharmacokinetic Delivery and Metabolizing Rate of Nicardipine Incorporated in Hydrophilic and Hydrophobic Cyclodextrins Using Two-Compartment Mathematical Model

## Algorithm 2

 > restart; Use linear algebra package “(linalg)” in Maple. >  with(linalg); >  with(plots); Enter the governing equations (5) and (6) as follow: > eq 4 :=diff(C[A](t),t)=-k1*C[A](t); > eq 5 :=diff(C[B](t),t)=k1*C[A](t)-k2*C[B](t); Store the variables in “vars”: > vars:=[C[A](t),C[B](t)]; Next, store the right hand sides of (5) and (6) in “eqs”: > eqs:=[rhs(eq 4 ),rhs(eq 5 )]; Now use the “genmatrix” command in Maple to produce the coefficient matrix : > A:=genmatrix(eqs,vars); Specify the initial conditions. > Y0:=matrix(2,1,[1,0]); Use “exponential ( )” command in Maple to produce exponential ( ) matrix: > mat:=exponential(A,t); Calculate the solution vector using “evalm” command and matrix multiplication “&*”: > sol:=evalm(“&*”(mat,Y0)); The first row of “sol” is the solution for the concentration of species ( ) and the second row is the concentration of species ( ): > ca:=sol[1,1]; > cb:=sol[2,1]; The concentration of species is obtained from the material balance equation (7): > cc:=1-ca-cb; 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: > pars:={k1,k2}; Next, substitute these values for the kinetic constants into the concentrations store as , , and : > Ca:=subs(pars,ca); > Cb:=subs(pars,cb); > Cc:=subs(pars,cc); Plot the concentration profiles for these values of the kinetic constants: > plot(Ca,t=0..10); > plot(Cb,t=0..10); > plot(Cc,t=0..10);

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