Résumé
Desde su aparición en 1825, la curva sigmoidea propuesta por Benjamin Gompertz ha sido aplicada en diferentes campos. En ciencias animales se usa frecuentemente para describir el crecimiento de los individuos. En el presente trabajo se muestra un análisis matemático de la función y la construcción de algunos de los parámetros que se obtienen de la misma.
Since its appearing in 1825, the sigmoideal curve proposed by Benjamin Gompertz has been applied in different fields. In animal sciences it is frequently used to describe the individual´s growth. The present work shows a mathematical analysis of the function and the construction of some of the parameters obtained from it.
Sujets)
Animaux , Animaux , CroissanceRésumé
The Notch signaling pathway is an evolutionary conserved mechanism that plays an important role in cell-cell communication and cell fate in a wide range of tissues. The mammalian family of Notch receptors consists of 4 members: Notch1/2/3/4. The Notch ligand family consists of 5 members: Delta1/3/4 and Jagged1/2. Math1 encodes a murine Basic helix-loop-helix (bHLH) transcription factor that acts as positive regulator of cell differentiation. Recently, links between Notch and Math1 pathways were demonstrated in various tissues. Expression of Notch1, Jagged2 and Math1 were analyzed in the mouse molar tooth germ during embryonic stage (E) 13 and E15 and during postnatal stage (PN) 1, PN3, PN5, PN10 and PN14 by using in situ hybridization. Positive Notch1 expression was found at the tooth bud during embryonic stages, but its expression was absent from the basal cells in contact with the dental mesenchyme. Jagged2 and Math1 were strongly expressed in differentiated ameloblasts and odontoblasts and Math1 strong expression was even maintained until PN14 stage. Math1 showed the strongest expression. Our results suggest that the Notch1 signaling pathway through Jagged2 could be importantly related to Math1, directing the process of odontogenesis toward cell differentiation.