Modeling morphogen gradient formation from arbitrary realistically shaped sources.

Détails

ID Serval
serval:BIB_ED11352580F2
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Modeling morphogen gradient formation from arbitrary realistically shaped sources.
Périodique
Journal of Theoretical Biology
Auteur⸱e⸱s
Dalessi S., Neves A., Bergmann S.
ISSN
1095-8541 (Electronic)
ISSN-L
0022-5193
Statut éditorial
Publié
Date de publication
2012
Volume
294
Pages
130-138
Langue
anglais
Résumé
Much of the analytical modeling of morphogen profiles is based on simplistic scenarios, where the source is abstracted to be point-like and fixed in time, and where only the steady state solution of the morphogen gradient in one dimension is considered. Here we develop a general formalism allowing to model diffusive gradient formation from an arbitrary source. This mathematical framework, based on the Green's function method, applies to various diffusion problems. In this paper, we illustrate our theory with the explicit example of the Bicoid gradient establishment in Drosophila embryos. The gradient formation arises by protein translation from a mRNA distribution followed by morphogen diffusion with linear degradation. We investigate quantitatively the influence of spatial extension and time evolution of the source on the morphogen profile. For different biologically meaningful cases, we obtain explicit analytical expressions for both the steady state and time-dependent 1D problems. We show that extended sources, whether of finite size or normally distributed, give rise to more realistic gradients compared to a single point-source at the origin. Furthermore, the steady state solutions are fully compatible with a decreasing exponential behavior of the profile. We also consider the case of a dynamic source (e.g. bicoid mRNA diffusion) for which a protein profile similar to the ones obtained from static sources can be achieved.
Pubmed
Web of science
Création de la notice
28/02/2012 16:19
Dernière modification de la notice
20/08/2019 17:14
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