Chapter 1

Online Resources

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Index

• Problem Solving

• Graph Paper Resources
• Interactive Graphs
• Interactive Calculators
• Video/Audio Tutorials

Graph Paper in PDF Format. If you have Adobe Reader (v5.0 or greater) installed (or Preview in Mac OS X) clicking on the links below will provide the graph paper indicated.

• Linear 7 x 9 inches
• Linear 18 x 22 cm

• Semi-log One Cycle
• Semi-log Two Cycle
• Semi-log Three Cycle
• Semi-log Four Cycle
• Semi-log Five Cycle

• Mullen Plot, redrawn from Mullen, 1978
• Mullen Plot (0-900), redrawn from Mullen, 1978
• Vozeh Plot - redrawn from Vozeh, 1981

Interactive Graphs

• Chapter 2 - Background Mathematical Material
  • Linear plot of 10^-x or e^-x versus x
  • Plot of log x or ln x versus x
  • Plot of Cp versus Time
  • Linear Plot of ln(Cp) versus Time
• Chapter 4 - One Compartment IV Bolus
  • Plot of Cp versus Time
  • Diagram Illustrating the Relationship between Clearance, Volume and Half-life
• Chapter 5 - Analysis of Urine Data
  • Plot of U versus Time
  • Plot of ΔU/Δt versus Time_midpoint
  • Plot of A.R.E. versus Time
  • Plot of Plot of X, U, M and Mu versus Time versus Time after a Single IV Bolus Dose Administration
• Chapter 6 - Intravenous Infusion
  • Plot of Cp versus Time During a Continuous Infusion
  • Plot of Cp versus Time Showing Bolus, Infusion, and Combined Curves
  • Plot of Cp versus Time showing Combined and Separate Curves for Slow and Fast Infusions
  • Plot of Cp versus Time for Interrupted IV Infusion
• Chapter 8 - Pharmacokinetics of Oral Administration
  • Plot of Cp versus Time after Oral Administration Showing Rise, Peak, and Fall in Cp
• Chapter 12 - Physical-Chemical Factors Affecting Oral Absorption
  • Calculate Cp after IV bolus, oral solution and two oral tablets
• Chapter 14 - Multiple IV Bolus Dose Administration
  • Plot of Cp versus Time
• Chapter 15 - Multiple Oral Dose Administration
  • Plot of Cp versus Time
• Chapter 16 - Routes of Excretion
  • Plot of Cp versus Time before, during and after Low Flux Hemodialysis
  • Linear or Semi-log Plot of Cp versus Time after a Single IV Bolus Dose Administration One Compartment Model - Renal Excretion and Liver Metabolism Models
  • Linear or Semi-log Plot of Cp versus Time after a Single Oral Dose Administration One Compartment Model - Renal Excretion and Liver Metabolism Models
• Chapter 17 - Metabolism
  • Linear Plot of Morphine Concentration versus Time after Codeine Administration
  • Linear Plot of Cp versus Time and the effect of the induction of Carbamazepine metabolism
  • Plot of Concentration versus Time after an IV Bolus Dose using Well Stirred or Parallel Tube Model
  • Plot of Concentration versus Time after an Oral Dose using Well Stirred or Parallel Tube Model
• Chapter 19 - Multi-Compartment Pharmacokinetic Models
  • Plot of Cp versus Time after an IV bolus - Two Compartment model using Macro Constants
  • Plot of Cp versus Time after an IV bolus - Two Compartment model using Micro Constants
  • Plot of Cp versus Time after an IV bolus and IV Infusion - Two Compartment model using Micro Constants
  • Plot of Cp versus Time after a Fast and Slow IV Infusion - Two Compartment model using Micro Constants
• Chapter 21 - Non-Linear Pharmacokinetic Models
  • Linear Plot of Cp versus Time after an IV bolus - One Compartment model with Non-linear Elimination
  • Semi-log Plot of Cp versus Time after an IV bolus - One Compartment model with Non-linear Elimination
  • Linear Plot of Cp versus Dose for a Drug Following MM Kinetics
  • Plot of Cp versus time after IV Bolus - One Compartment - MM and first order elimination

Interactive Calculators

• Chapter 2 - Background Mathematical Material
  • Calculate 10^x or e^x
• Chapter 4 - One Compartment IV Bolus
  • Calculate Cp^t after an IV Bolus
  • Calculate Parameter Values from Two Data Points Collected after an IV Bolus
  • Calculate the Required IV Bolus Dose
  • Calculate Parameter Values from Two Data Points from a Line drawn through Data Collected after an IV Bolus
• Chapter 5 - Analysis of Urine Data
  • Estimate fe and fm using Equations 5.9.1 and 5.9.2
  • Calculate kel and t_1/2 in a patient with impaired renal function
• Chapter 6 - Intravenous Infusion
  • Calculate Cp Given k0, kel and V at time t
  • Calculate k0 required to give Cp at time t
  • Calculate Cp^ss Given k0, kel and V
  • Calculate k0 required to give Cp^ss
  • Calculate Cp given k0, Bolus Dose, kel and V at time t
  • Calculate Cp given fast and slow k0, kel and V at time t
  • Calculate kel and V given post infusion Cp versus time data
• Chapter 8 - Pharmacokinetics of Oral Administration
  • Estimate Time of Peak Cp and the Peak Cp after Oral Administration
• Chapter 12 - Physical-Chemical Factors Affecting Oral Absorption
  • Calculate the D Value for a Weak Acid
  • Calculate the D Value for a Weak Base
• Chapter 14 - Multiple IV Bolus Dose Administration
  • Calculate a suitable multiple IV bolus dosage regimen for specified Cp_min and Cp_max
  • Calculate Cp_min and Cp_max after Multiple IV Bolus Doses
• Chapter 16 - Routes of Excretion
  • Calculations Using the Cp_average Equation 16.8.2
  • Calculator Using Cp_max and Cp_min Criteria
• Chapter 19 - Multi-Compartment Pharmacokinetic Models
  • Calculate A, B, α and β
  • Calculate k10, k12, k21 and V₁
• Chapter 20 - Non-Linear Pharmacokinetic Models
  • Calculate Cp_average with Non-linear Elimination
  • Calculate Vm and Km from Two Steady State Cp_average Values

Video/Audio Tutorials

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Pharmacy Math Part Two A selection of Pharmacy Math Problems