用浓度梯度确定位置的基本限制

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摘要翻译：
生物系统中的位置确定通常是通过蛋白质浓度梯度来实现的。测量具有空间变化分布的这种蛋白质的局部浓度允许测量系统内的位置。为了使这些系统有效地工作，位置确定必须对噪声具有鲁棒性。在这里，我们计算了浓度梯度位置确定精度的基本极限，这是由于不可避免的生化噪声干扰梯度。我们主要研究具有一级反应动力学的梯度蛋白。这种类型的系统在发育和细胞生物学环境中都有实验特征。对于单个梯度，我们表明，通过时间平均，即使在非常低的蛋白质拷贝数下，也可以实现很高的精度。作为第二个例子，我们研究了一个具有反向梯度的系统寻找其中心的能力。随着平均时间的增加，靠近中心的位置精度提高得更慢，因此需要更长的平均时间或更高的拷贝数才能获得高精度。对于单梯度和双梯度，我们证明了梯度的最优长度尺度的存在性，在那里精度最大，并分析了精度如何依赖于浓度测量仪器的大小。我们的结果为不同环境中浓度梯度提供的位置精度提供了基本的限制，包括发育生物学和单个细胞内的浓度梯度。
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英文标题：
《Fundamental Limits to Position Determination by Concentration Gradients》
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作者：
Filipe Tostevin, Pieter Rein ten Wolde, Martin Howard
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最新提交年份：
2007
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Subcellular Processes        亚细胞过程
分类描述：Assembly and control of subcellular structures (channels, organelles, cytoskeletons, capsules, etc.); molecular motors, transport, subcellular localization; mitosis and meiosis
亚细胞结构（通道、细胞器、细胞骨架、囊膜等）的组装和控制；分子马达；转运；亚细胞定位；有丝分裂和减数分裂
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

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英文摘要：
  Position determination in biological systems is often achieved through protein concentration gradients. Measuring the local concentration of such a protein with a spatially-varying distribution allows the measurement of position within the system. In order for these systems to work effectively, position determination must be robust to noise. Here, we calculate fundamental limits to the precision of position determination by concentration gradients due to unavoidable biochemical noise perturbing the gradients. We focus on gradient proteins with first order reaction kinetics. Systems of this type have been experimentally characterised in both developmental and cell biology settings. For a single gradient we show that, through time-averaging, great precision can potentially be achieved even with very low protein copy numbers. As a second example, we investigate the ability of a system with oppositely directed gradients to find its centre. With this mechanism, positional precision close to the centre improves more slowly with increasing averaging time, and so longer averaging times or higher copy numbers are required for high precision. For both single and double gradients, we demonstrate the existence of optimal length scales for the gradients, where precision is maximized, as well as analyzing how precision depends on the size of the concentration measuring apparatus. Our results provide fundamental constraints on the positional precision supplied by concentration gradients in various contexts, including both in developmental biology and also within a single cell.
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PDF链接：
https://arxiv.org/pdf/704.3639

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关键词：Quantitative localization Experimental distribution Fundamental protein single 具有 浓度 研究