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. 2020 Jun 23;12(6):582. doi: 10.3390/pharmaceutics12060582
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/ro2
τc dimensionless critical time
τs dimensionless starting time of constant release rate region