title: Melanoblast proliferation dynamics during mouse embryonic development. Modeling and validation.
abstract: In this paper, we are looking for mathematical modeling of mouse embryonic melanoblast proliferation dynamics, taking into account, the expression level of β-catenin. This protein plays an important role into the whole signal pathway process. Different assumptions on some unobservable features lead to different candidate models. From real data measured, from biological experiments and from a priori biological knowledge, it was able to validate or invalidate some of the candidate models. Data assimilation and parameter identification allowed us to derive a mathematical model that is in very good agreement with biological data. As a result, the produced model can give tracks for biologists into their biological investigations and experimental evidence. Another interest is the use of this model for robust hidden parameter identification like double times or number of founder melanoblasts.
authors.affiliation: Laboratoire Mathématiques Appliquées aux Systèmes, Ecole Centrale Paris, Grande Voie des Vignes, 92295 Châtenay-Malabry cedex, France. bouchra.aylaj@gmail.com
authors.forename: Bouchra
authors.initials: B
authors.lastname: Aylaj
authors.forename: Flavie
authors.initials: F
authors.lastname: Luciani
authors.forename: Veronique
authors.initials: V
authors.lastname: Delmas
authors.forename: Lionel
authors.initials: L
authors.lastname: Larue
authors.forename: Florian
authors.initials: F
authors.lastname: De Vuyst
mesh_terms: D000818:Animals; D002138:Calibration; D002452:Cell Count; D049109:Cell Proliferation; D020405:Dermis / Q000166:cytology; D047108:Embryonic Development; D008544:Melanocytes / Q000166:cytology*; D051379:Mice; D008817:Mice, Mutant Strains; D008954:Models, Biological; D015203:Reproducibility of Results; D013997:Time Factors