Melanoblast proliferation dynamics during mouse embryonic development. Modeling and validation

JOURNAL OF THEORETICAL BIOLOGY

卷:276

Article

Aylaj, Bouchra¹  Luciani, Flavie²  Delmas, Veronique²  Larue, Lionel²  De Vuyst, Florian^1,3,4 

[1] Ecole Cent Paris, Lab Math Appl Syst, F-92295 Chatenay Malabry, France

[2] Inst Curie, Ctr Natl Rech Sci CNRS 3347, F-91405 Orsay, France

[3] Ecole Normale Super, Ctr Math & Leurs Applicat, F-94235 Cachan, France

[4] Doshisha Univ, Energy Convers Res Ctr, Kyotanabe 6100394, Japan

关键词: Melanoma;    beta-catenin;    Doubling time;    Data assimilation;    Variational approach;   

DOI  :  10.1016/j.jtbi.2011.01.041

来源: Elsevier

【 摘 要 】

In this paper, we are looking for mathematical modeling of mouse embryonic melanoblast proliferation dynamics, taking into account, the expression level of beta-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. (C) 2011 Elsevier Ltd. All rights reserved.

【 授权许可】

Free