Table 3. Fitting equations for the in vitro TBH, TBH-NE–DMN, Gls–TBH-NE–DMN, and positive control cumulative percutaneous transdermal transition time models^a.

Group	Model	Model fitting equation	r
TBH	Zero-order kinetic	= −1.2994 + 0.3286t	r = 0.9844
	First-order kinetic	= −1.6832 × (1 − e0.0376t)	r = 0.8453
	Higuchi	= 3.0305t1/2 − 6.0601	r = 0.9908
TBH-NE–DMN	Zero order kinetic	= −3.2042 + 1.0746t	r = 0.9924
	First-order kinetic	= −4.8614 × (1 − e0.0404t)	r = 0.8809
	Higuchi	= 8.8406t1/2 − 15.3263	r = 0.9538
Gls–TBH-NE–DMN	Zero-order kinetic	= −3.5685 + 1.0216t	r = 0.9916
	First-order kinetic	= −10.2447 × (1 − e0.0301t)	r = 0.9442
	Higuchi	= 8.6097t1/2 − 16.2757	r = 0.9424
Positive controls	Zero-order kinetic	= −2.6199 + 0.8722t	r = 0.9934
	First-order kinetic	= −32.99 × (1 − e0.0153t)	r = 0.9922
	Higuchi	= 7.5612t1/2–14.0204	r = 0.9577

^aTerbinafine hydrochloride (TBH), dissolving microneedles of terbinafine hydrochloride nanoemulsion (TBH-NE–DMN), dissolving microneedles of terbinafine hydrochloride nanoemulsion for beta-1,3-glucanase (Gls–TBH-NE–DMN).