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Table 2 Linear regression analysis (R2) of samples and their corresponding overall mean percent error (MPE) obtained by fitting the SB release data from biocompatible surface-coated SWSB nanocomposites into PBS solution at pH 7.4

From: In vitro drug release characteristic and cytotoxic activity of silibinin-loaded single walled carbon nanotubes functionalized with biocompatible polymers

Model name Equation Sample R 2 MPE
Zero-order \(q_{t} = q_{0} + k_{0} t\) SWSBa 0.9367 0.0172
SWSB-T20 0.9914 0.0662
SWSB-T80 0.6977 0.3247
SWSB-PEG 0.9631 0.3080
SWSB-CS 0.9120 0.3926
Pseudo-first-order \(\ln (q_{e} \text{ - }q_{t} ) = \ln q_{e} - k_{1} t\) SWSBa 0.9533 8.0461
SWSB-T20 0.9933 0.3574
SWSB-T80 0.9402 1.6279
SWSB-PEG 0.9797 1.6844
SWSB-CS 0.9720 0.9793
Pseudo-second-order \(\frac{t}{{q_{t} }} = \frac{1}{{k_{2} q_{e}^{2} }} + \frac{t}{{q_{e} }}\) SWSBa 0.9983 1.0189
SWSB-T20 0.9903 1.5389
SWSB-T80 0.9856 0.3775
SWSB-PEG 0.9924 1.1613
SWSB-CS 0.9948 0.3431
Higuchi \(q_{t} = K_{H} \sqrt t\) SWSBa 0.9628 0.1231
SWSB-T20 0.9968 0.1841
SWSB-T80 0.8966 8.4337
SWSB-PEG 0.9774 3.0315
SWSB-CS 0.9583 6.4891
Korsmeyer-Peppas \(\frac{{q_{t} }}{{q_{\infty } }} = Kt^{n}\) SWSBa 0.9542 0.0067
SWSB-T20 0.9793 0.0071
SWSB-T80 0.9283 0.0022
SWSB-PEG 0.9612 0.0028
SWSB-CS 0.9053 0.0391
  1. aRelease of SB was limited to 1300 min. q t , q e and q refer to the amount of drug released at time (t), at equilibrium and at infinite time. k 0 , k 1 , k 2 and kH are rate constant of the models