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. 2022 Dec 5;10(12):3139. doi: 10.3390/biomedicines10123139
Qt amount of drug released at time t
Q0 initial amount of drug in the solution (usually Q0=0)
Q total amount of drug released (≈total amount in the dosage system)
Ct drug concentration at time t
C0 initial drug concentration
CT total drug concentration
Cs saturation concentration (solubility) of drug at given temperature
Clip initial amount of drug encapsulated in the DDS
Cms drug solubility in the matrix
W0 initial amount of drug encapsulated in the DDS
Wt amount of drug remaining in the DDS at time t
Xt percentage release at time t
Xmax maximum dissolution
A surface area of the DDS
D diffusion coefficient
K constant related to surface, shape, and density of particles
N number of particles
δ thickness of the diffusion layer
r0 radius of a spherical matrix
a0 half thickness of the system
1/a timescale parameter
b shape parameter (release curve in Weibull, dissolution rate in Gompertz, and nanoparticles shape in Hopfenberg)
c equivalence of undissolved proportion at time t = 1
ker erosion rate constant
ki model release constants 1

1 ki refers to k0, k1, kh, khc, kkp, kbl,kg,khf,klh1/2