PHAR 7632 Homework #5 2000

Answers

 

  1. (20 points) Attempt to take the back transform of these Laplace functions using the finger-print method. If this is not possible state your reason.

 

a.

Not possible - Higher power in s in the numerator

b.

Roots = -ka, a, -b

c.

Roots = 0, -k21

d.

Not possible - Repeated term in the denominator

 

2. (10 points) Write the differential equations, take the Laplace of these equations, rearrange them to solve for L(X1) and solve for X1 given the pharmacokinetic model below. K0 is zero order and all other rate constants are first order.

Write the differential equations

Take the Laplace and solve for L(X2)

Substitute this into the L(X1) equation

compare with s2 + s•(a + b) + a•b = (s+a)•(s+b)

Roots 0, -a, -b