A
|
drug surface area per volume unit sphere, 1/cm |
Ao
|
initial drug surface area per volume unit sphere, 1/cm |
C(r,t) |
dissolved drug concentration, g/mL |
Ca(r,t) |
un-dissolved drug concentration, g/mL |
Cao
|
initial un-dissolved drug concentration, g/mL |
Cs
|
solubility of drug in matrix, g/mL |
Ct
|
initial total drug concentration Ct = Cao + Cs, g/mL |
D
|
diffusivity of drug in matrix, cm2/s |
G
|
ratio of diffusion rate to dissolution rate kAoro2/D
|
K
|
ratio of drug solubility to initial total drug concentration Cs/Ct
|
k
|
dissolution rate constant, 1/(cm2·s) |
n
|
shape factor of a drug particle |
r
|
radial coordinate from the left of a sphere, cm |
ro
|
radius of a sphere, cm |
r*
|
moving front, cm |
t
|
time, s |
u
|
unit step function |
Greek symbols
|
|
φ(η,τ) |
dimensionless dissolved concentration C/Ct
|
ϕ(η,τ) |
dimensionless un-dissolved concentration Ca/Ct
|
η
|
dimensionless radius r/ro
|
η*
|
dimensionless moving front η/ro
|
τ
|
dimensionless time Dt/
|
τc
|
dimensionless critical time |
τs
|
dimensionless starting time of constant release rate region |