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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات مدل‌سازی و شبیه سازی
پیش نمایش صفحه اول مقاله
Positive circuits and d-dimensional spatial differentiation: Application to the formation of sense organs in Drosophila
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 1–2, October–November 2008, Pages 102-108
نویسندگان
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