Robustness of morphogen gradients with ``bucket brigade'' transport through membrane-associated non-receptors
type: Item
instance of: scholarly article
title: Robustness of morphogen gradients with ``bucket brigade'' transport through membrane-associated non-receptors
zbMATH Open document ID: 1325.34027
author: Jinzhi Lei
author: Dongyong Wang
author: You Song
author: Qing Nie
author: F. Y. M. Wan
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2013-04-24T00:00:00Z
review text: The paper is devoted to a mathematical analysis of a model of morphogen gradient formation in the presence of non-receptors with both diffusion of free morphogens and the movement of morphogens bound to non-receptors. A functional boundary value problem is introduced and existence, uniqueness and linear stability of a biologically acceptable steady-state solution is proven. The robustness of this steady-state solution with respect to significant changes in the morphogen synthesis rate is analyzed. It is proven that the model is able to produce robust biological morphogen gradients when production and degradation rates of morphogens are large enough and non-receptors are abundant. The results in this paper provide mathematical and biological insight to a mechanism of achieving stable robust long distance morphogen gradients.
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 92C15
zbMATH DE Number: 6157325
zbMATH Keywords: morphogen gradient
zbMATH Keywords: reaction diffusion equation
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: stability
zbMATH Keywords: robustness
zbMATH Keywords: functional boundary value problem
reviewed by: Pablo Amster
MaRDI profile type: Publication
full work available at URL: dcdsb.2013.18.721
OpenAlex ID: W1981718367
Wikidata QID: Q37304409
DOI: 10.3934/DCDSB.2013.18.721
description: scientific article; zbMATH DE number 6157325