Geodesic
A phenomenological approach to non equilibrium self-cooperative relaxation processes: Liquori-Tripiciano versus Verhulst cell growth equation
Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 307-311

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

An analytic function shown by Liquori and Tripiciano to be suitable to explain sigmoidal growth curves is compared with the classical logistic equation of Verhulst. It is shown that Liquori-Tripiciano function displays a higher flexibility and offers operational advantages with respect to Verhulst logistic equation. Furthermore at variance with the latter equation it allows to study the effect of temperature on growth curves. For highly cooperative growth processes, the two sigmoidal curves calculated according to Liquori-Tripiciano equation and Verhulst equation virtually coincide. 
@article{RLINA_1989_8_83_1_a43,
     author = {Liquori, Alfonso M. and Lavenda, Bernard and Florio, Arnaldo},
     title = {A phenomenological approach to non equilibrium self-cooperative relaxation processes: {Liquori-Tripiciano} versus {Verhulst} cell growth equation},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali},
     pages = {307--311},
     publisher = {mathdoc},
     volume = {Ser. 8, 83},
     number = {1},
     year = {1989},
     zbl = {0729.92514},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLINA_1989_8_83_1_a43/}
}
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Liquori, Alfonso M.; Lavenda, Bernard; Florio, Arnaldo. A phenomenological approach to non equilibrium self-cooperative relaxation processes: Liquori-Tripiciano versus Verhulst cell growth equation. Atti della Accademia nazionale dei Lincei. Rendiconti della Classe di scienze fisiche, matematiche e naturali, Série 8, Tome 83 (1989) no. 1, pp. 307-311. http://geodesic.mathdoc.fr/item/RLINA_1989_8_83_1_a43/