REVIEW PROBLEMS :     IV bolus - 1

 

Problem Set 1

Part I. Unit Conversion Practice

       
        1.                                                       

                                  

                                     = mg/L

       

       2.    

                                    = L/h                      

 

       

       3.    

                                     = µg/h·kg            

 

                     

                                
       4.           

                                     = ng/ml                    

                   

                                 
        5.     

                                  = µg·h/ml            


Part II. Intravenous (IV) Bolus

A patient receives a 100 mg intravenous injection of a drug. Plasma drug concentrations are measured for a period of 24 hours after the dose, and are as follows:

Time (h)

Plasma Concentration (mg/ml)

0.5

9.2

1

8.4

2

7.1

4

5.0

8

2.5

12

1.3

24

0.2

Please note: Double click in order to join two points on the graph.

Calculate the elimination rate constant (k), plasma half-life (t1/2), volume of distribution (Vd), clearance (CL) and area under the curve from 0 to infinity.

1.    Calculation for slope of the terminal portion of the curve, k:

         


                    =            wpeA.gif (826 bytes)    =   
                                          -                                               

                                                                                           


2.    Calculation for half-life, t1/2:

               

                                                        
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3.    Calculation for Vd:

 

                                                        
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4.    Calculation for CL

 

                                         =        X =  

                                                                                            


5.    Calculation for AUC (0 to infinity)

 

Time (h)

Plasma Concentration (mg/ml)

AUC

   

             

  

0.5

9.2

1

8.4

2

7.1

4

5.0

8

2.5

12

1.3

24

0.2

   

 

 

                                                                                                     

 

                         Answers to Review Problems 1:        

 

Last Updated:     09/14/99
Designed and Created By:
Gayatri Srinivasaraghavan
Vineet Grover
Helen Kastrissios
Supported by a grant from The Center For Excellence in Teaching and Learning, UIC.