Drug Stability & Stability Testing - Part 2 Flashcards
API
Active Pharmaceutical Ingredient
FPP
Finished Pharmaceutical Product
GMP
Good Manufacturing Practices
ICH
International Conference on Harmonization
MA
Marketing Authorization
RH
Relative Humidity
Reaction Energetics: Thermodynamics Reaction Rates: Kinetics
For the reaction:
DRUG [D] β DEGRADATION PRODUCT [P]
The rate of reaction can be determined by..
following (un-decomposed) drug [D] or decomposition product [P]:
rate of reaction = βπ[π·] / ππ‘
rate = k [D]x
= π[π] / ππ‘
β Zero order
Differential equation
- d [A] / dt = k [A] 0 = k
Integral equation
[A] = [A]0 β k t
The decomposition proceeds at a constant rate independent of the concentration of any of the reactants
First order
Differential equation
- d [A] / dt = k [A]
Integral equation
In [A] = [A]0 β k t
Half life:
β’ The time taken for half of the reactant to decompose
β’ Independent of the initial concentration of the reactants (only for 1st order!)
The rate of reaction is determined by a single concentration term:
βπ
[π«] = k1[D] π
π
Which integrated at t = 0 and rearranged to give a linear relationship can be found expressed as:
t = π.πππ log a - π.πππ log (a-x) ππ
Where a = [A]0
a-x = [A]t (so x refers to amount degraded)
Second order
Differential equation
- d [A] / dt = k [a] 2
Integral equation
1/[A] = 1/[A]0 + k t
The rate is determined by the concentrations of two reacting species
A + B β degradation products
- π
[π¨] / π
π = k[A][B]
Which integrated at t=0 and rearranged to give a linear relationship can be expressed as:
t = π.πππ/π(πβπ) log (π/π) + π.πππ/π(πβπ) log (πβπ)/ (πβπ)
Where:
a = [A]0
b = [B]0 and x = amount of drug degraded
When does Pseudo first order occur
β’ This occurs when there is more than 1 reacting species, but the reaction appears to follow first order kinetics
β e.g. a large excess of one reactant
β e.g. water or oxygen frequently in great excess and their concentrations will essentially remain constant
When does Pseudo zero order occur
β’ This occurs when there is 1 reacting species, but the reaction appears to follow zero order kinetics
β E.g. an excess of the drug.
β E.g. hydrolysis of a suspension (e.g. aspirin) β drug concentration in solution is kept constant (saturated solution maintained).
System follows pseudo zero-order as long as suspension, then follows pseudo first order.
Determining rate orders
β’ Determine experimentally the amount of drug decomposed at various intervals
β substitute the data in to the integrated equations for zero, first and second order reactions
β’ Determine the one which produces the most consistent value for k at a range of time points
β or represent data graphically according to the linear equations
β’ Determine which one produces a straight line
Drug degradation
- Hydrolysis
- Oxidation
- Photolysis
- Trace metal catalysis
- Isomerisation
All affected by temp
Temperature and Arrhenius type relationship
Typically 100C increase in temperature causes a 2 β 5 fold increase in decay
β’ Arrhenius-type relationship
log k = logA - π¬π/
π.πππ πΉπ»
β’ Reaction rate can then be calculated at any given temperature and a prediction of shelf life obtained.
β’ Below 500C
Half-lives and shelf lives for zero order
Integrated rate equation: c = c0 β k0t
Units of k: conc. x time -1
Half-life t1β2: 0.5 π0/ π0
Shelf-life t90: 0.1 π0/ π0
Half-lives and shelf lives for first order
Integrated rate equation: logc0 β π1π‘/ 2.303
Units of k: time -1
Half-life t1β2: 0.693/ π1
Shelf-life t90: 0.105/ π1