Table 6–

Analytical solutions of Fick's second law in migration studies of nisin incorporated in active food packaging.

Polymeric matrix	Analytical solution	Description of variables	Reference
Protein films (corn zein and wheat gluten)		M0, is the initial amount of nisin in the film; Mt, released amount of nisin at time t; h, film thickness; D, diffusion coefficient; ierfc, associated function of the mathematical error function	Teerakarn and others (2002)
Paper coated with acrylic polymer and ethylene‐vinyl acetate co‐polymer (EVA)		Mt, is the amount of nisin released at time t; M∞, is the migration in a state of equilibrium; Lp coating layer thickness, D, diffusion coefficient	Kim and others (2002)
Hydroxypropyl methyl cellulose (HPMC) films		C, is nisin concentration in the simulant; M0, amount of nisin in the film; D, diffusion coefficient; x, length of the gel (simulant); t, diffusion time	Sebti and others (2003)
Paper coated with ethylene‐vinyl acetate co‐polymer (EVA)		Mt, is nisin amount in the simulant at time t; M∞, nisin amount in the simulant at equilibrium; D, diffusion coefficient; Lp, coating thickness	Ho Lee and others (2004)
Polybutylene adipate co‐terephthalate (PBTA) films		Ms,t, is the amount of nisin in the simulant at time t; MF,0, amount of nisin in the film when t = 0; α, mass ratio between the amount of nisin in the simulant and in the film at equilibrium; qn, is the “n” root of tanqn=−αqn; l, is a half of the film's thickness	Bastarrachea and others (2010)