瞬时反馈和稳健的信号梯度。

IF 1.3 4区 数学 Q1 MATHEMATICS International Journal of Numerical Analysis and Modeling Pub Date : 2016-01-01
Aghavni Simonyan, Frederic Y M Wan
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引用次数: 0

摘要

生物有机体在遗传和外显遗传扰动下的稳健发育,对于相对于进化时间较短的时间跨度非常重要。与受体结合的信号形态发生器梯度负责形态形成和发育。目前已知有多种抑制剂可以减少异位信号活动,它们在下调不良异位活动中的具体作用也得到了很好的理解。然而,发育中的生物体如何根据基因和/或环境的变化来调整抑制/刺激,仍有待揭示。异位信号活动的调整需要一种或多种反馈机制来刺激所需的调整。由于许多抑制剂(包括非受体类型的抑制剂)的最终效果是减少信号形态发生因子与信号受体结合的可用性,因此基于信号浓度空间分布的均方根测量的信号形态发生因子合成率负反馈机制提供了一种简单的调节方法,并已在概念验证实施中被证明是有效的。在本文中,我们通过研究生物发育瞬态阶段一个或多个反馈调整的效果,对之前稳态反馈的研究进行了补充。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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TRANSIENT FEEDBACK AND ROBUST SIGNALING GRADIENTS.

Robust development of biological organisms in the presence of genetic and epi-genetic perturbations is important for time spans short relative to evolutionary time. Gradients of receptor bound signaling morphogens are responsible for patterning formation and development. A variety of inhibitors for reducing ectopic signaling activities are known to exist and their specific role in down-regulating the undesirable ectopic activities reasonably well understood. However, how a developing organism manages to adjust inhibition/stimulation in response to genetic and/or environmental changes remains to be uncovered. The need to adjust for ectopic signaling activities requires the presence of one or more feedback mechanisms to stimulate the needed adjustment. As the ultimate effect of many inhibitors (including those of the nonreceptor type) is to reduce the availability of signaling morphogens for binding with signaling receptors, a negative feedback on signaling morphogen synthesis rate based on a root-mean-square measure of the spatial distribution of signaling concentration offers a simple approach to robusness and has been demonstrated to be effective in a proof-of-concept implementation. In this paper, we complement the previous investigation of feedback in steady state by examining the effect of one or more feedback adjustments during the transient phase of the biological development.

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来源期刊
CiteScore
2.10
自引率
9.10%
发文量
1
审稿时长
6-12 weeks
期刊介绍: The journal is directed to the broad spectrum of researchers in numerical methods throughout science and engineering, and publishes high quality original papers in all fields of numerical analysis and mathematical modeling including: numerical differential equations, scientific computing, linear algebra, control, optimization, and related areas of engineering and scientific applications. The journal welcomes the contribution of original developments of numerical methods, mathematical analysis leading to better understanding of the existing algorithms, and applications of numerical techniques to real engineering and scientific problems. Rigorous studies of the convergence of algorithms, their accuracy and stability, and their computational complexity are appropriate for this journal. Papers addressing new numerical algorithms and techniques, demonstrating the potential of some novel ideas, describing experiments involving new models and simulations for practical problems are also suitable topics for the journal. The journal welcomes survey articles which summarize state of art knowledge and present open problems of particular numerical techniques and mathematical models.
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