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

Zero-order

\(q_{t} = q_{0} + k_{0} t\)

SWSB^a

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

\(\ln (q_{e} \text{ - }q_{t} ) = \ln q_{e} - k_{1} t\)

SWSB^a

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

\(\frac{t}{{q_{t} }} = \frac{1}{{k_{2} q_{e}^{2} }} + \frac{t}{{q_{e} }}\)

SWSB^a

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

\(q_{t} = K_{H} \sqrt t\)

SWSB^a

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

\(\frac{{q_{t} }}{{q_{\infty } }} = Kt^{n}\)

SWSB^a

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