کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
2076646 | 1544996 | 2008 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Positive circuits and d-dimensional spatial differentiation: Application to the formation of sense organs in Drosophila
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
مدلسازی و شبیه سازی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Positive circuits and d-dimensional spatial differentiation: Application to the formation of sense organs in Drosophila Positive circuits and d-dimensional spatial differentiation: Application to the formation of sense organs in Drosophila](/preview/png/2076646.png)
چکیده انگلیسی
We discuss a rule proposed by the biologist Thomas according to which the possibility for a genetic network (represented by a signed directed graph called a regulatory graph) to have several stable states implies the existence of a positive circuit. This result is already known for different models, differential or discrete formalism, but always with a network of genes contained in a single cell. Thus, we can ask about the validity of this rule for a system containing several cells and with intercellular genetic interactions. In this paper, we consider the genetic interactions between several cells located on a d-dimensional lattice, i.e., each point of lattice represents a cell to which we associate the expression level of n genes contained in this cell. With this configuration, we show that the existence of a positive circuit is a necessary condition for a specific form of multistationarity, which naturally corresponds to spatial differentiation. We then illustrate this theorem through the example of the formation of sense organs in Drosophila.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Biosystems - Volume 94, Issues 1â2, OctoberâNovember 2008, Pages 102-108
Journal: Biosystems - Volume 94, Issues 1â2, OctoberâNovember 2008, Pages 102-108
نویسندگان
Anne Crumière, Mathieu Sablik,