Melanoblast proliferation dynamics during mouse embryonic development: Modeling and validation

Bouchra Aylaj (1) , Flavie Luciani , Veronique Delmas , Lionel Larue , Florian de Vuyst (1, 2, 3)

1 Ecole Centrale Paris
2 ENS Cachan - École normale supérieure - Cachan
3 Doshisha University [Kyoto]

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.

Mots clés: Melanoma; β-catenin; Doubling time; Data assimilation; Variational approach

Domaines: Sciences du Vivant [q-bio]

Bouchra Aylaj, Flavie Luciani, Veronique Delmas, Lionel Larue, Florian de Vuyst. Melanoblast proliferation dynamics during mouse embryonic development: Modeling and validation. Journal of Theoretical Biology, 2011, 276 (1), pp.86. ⟨10.1016/j.jtbi.2011.01.041⟩. ⟨hal-00682405⟩