Receptor-Based Models with Diffusion-Driven Instability for Pattern Formation in Hydra
Receptor-Based Models with Diffusion-Driven Instability for Pattern Formation in Hydra
复制标题
具有扩散驱动不稳定性的基于受体的水螅模式形成模型
DOI：
10.1142/s0218339003000889
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发表时间：
2003
影响因子：
1.6
通讯作者：
A. Marciniak
中科院分区：
文献类型：
--
作者：
A. Marciniak
本文的目的是显示在何种条件下基于受体的模型可以产生和调节模式。将该模型应用于淡水水螅的斑图形成和调控。该模型是基于这样的想法，即头和脚的形成可以通过受体-配体结合来控制。位置值由结合受体的密度决定。该模型被定义为反应扩散方程与常微分方程耦合的形式。我们的目标是检查什么最小的过程是足以产生模式的扩散驱动（图灵型）的不稳定性的框架。三变量（描述配体，游离和结合受体的动力学）和四变量模型（包括酶裂解配体）进行了分析和比较。最小三变量模型考虑了游离受体、结合受体和配体的密度。在这种模型中，只有当游离受体的自我增强，即，假定在新的游离受体的产生和它们的当前密度之间存在正反馈回路。最后的图案强烈地依赖于初始条件。在四变量模型中，扩散驱动的不稳定性发生，而没有假设自由受体刺激其自身的合成。它示出的结合受体的密度梯度发生，如果也有第二个扩散物质，酶，降解配体。数值模拟来说明分析。四变量模型能够捕获切割实验的一些结果，并反映了从解离细胞从头图案形成。
The aim of this paper is to show under which conditions a receptor-based model can produce and regulate patterns. Such model is applied to the pattern formation and regulation in a fresh water polyp, hydra. The model is based on the idea that both head and foot formation could be controlled by receptor-ligand binding. Positional value is determined by the density of bound receptors. The model is defined in the form of reaction-diffusion equations coupled with ordinary differential equations. The objective is to check what minimal processes are sufficient to produce patterns in the framework of a diffusion-driven (Turing-type) instability. Three-variable (describing the dynamics of ligands, free and bound receptors) and four-variable models (including also an enzyme cleaving the ligand) are analyzed and compared. The minimal three-variable model takes into consideration the density of free receptors, bound receptors and ligands. In such model patterns can evolve only if self-enhancement of free receptors, i.e., a positive feedback loop between the production of new free receptors and their present density, is assumed. The final pattern strongly depends on initial conditions. In the four-variable model a diffusion-driven instability occurs without the assumption that free receptors stimulate their own synthesis. It is shown that gradient in the density of bound receptors occurs if there is also a second diffusible substance, an enzyme, which degrades ligands. Numerical simulations are done to illustrate the analysis. The four-variable model is able to capture some results from cutting experiments and reflects de novo pattern formation from dissociated cells.
盘基网柄菌悬浮液中的环状 AMP 振荡。
DOI：
10.1098/rstb.1989.0005
发表时间：
1989
期刊：
Philosophical transactions of the Royal Society of London. Series B, Biological sciences
影响因子：
--
作者：
Monk,PB;Othmer,HG
通讯作者：
Othmer,HG
卤杆菌中感觉视紫红质的趋光信号需要视网膜的全反式/13-顺式异构化。
影响因子：
3.4
作者：
Yan,B;Takahashi,T;Johnson,R;Derguini,F;Nakanishi,K;Spudich,JL
通讯作者：
Spudich,JL