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Binomial distribution for quantification of protein subunits in biological nanoassemblies and functional nanomachines.
生物纳米组装和功能性纳米基因组中蛋白质亚基定量的二项式分布。
ATPase Copy number quantification Nanobiotechnology Viral DNA packaging phi29
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摘要

Living systems produce ordered structures and nanomachines that inspire the development of biomimetic nanodevices such as chips, MEMS, actuators, sensors, sorters, and apparatuses for single-pore DNA sequencing, disease diagnosis, drug or therapeutic RNA delivery. Determination of the copy numbers of subunits that build these machines is challenging due to small size. Here we report a simple mathematical method to determine the stoichiometry, using phi29 DNA-packaging nanomotor as a model to elucidate the application of a formula ∑M=0(Z)((Z)M)p(Z-M)q(M), where p and q are the percentage of wild-type and inactive mutant in the empirical assay; M is the copy numbers of mutant and Z is the stoichiometry in question. Variable ratios of mutants and wild-type were mixed to inhibit motor function. Empirical data were plotted over the theoretical curves to determine the stoichiometry and the value of K, which is the number of mutant needed in each machine to block the function, all based on the condition that wild-type and mutant are equal in binding affinity. Both Z and K from 1-12 were investigated. The data precisely confirmed that phi29 motor contains six copies (Z) of the motor ATPase gp16, and K=1. From the clinical editor: To determine copy numbers of subunits that form nanomachines in living organisms is a daunting task due to the complexities and the inherently small sizes associated with such systems. In this paper, a simple mathematical method is described how to determine the stoichiometry of copies in biomimetic nanodevices, using phi29 DNA-packaging nanomotor as a model.

译文

生命系统产生有序的结构和纳米机器,激发仿生纳米设备的发展,如芯片、 MEMS 、致动器、传感器、分类器和用于单孔 DNA 测序、疾病诊断的设备, 药物或治疗性 RNA 递送。由于体积小,确定构建这些机器的子单元的拷贝数具有挑战性。在这里,我们报告了一种确定化学计量的简单数学方法,使用 phi29 DNA 包装纳米运动作为模型来阐明公式 M = 0 (Z) ((Z) M) 的应用 p (Z-M) q (M),其中 p 和 q 是经验试验中野生型和无活性突变体的百分比; M 是突变体的拷贝数,Z 是所讨论的化学计量。将突变体和野生型的可变比例混合以抑制运动功能。经验数据被绘制在理论曲线上,以确定化学计量和 k值,k值是每台机器阻止该功能所需的突变体数量, 所有这些都是基于野生型和突变体结合亲和力相等的条件。调查了 1-12 的 Z 和 K。数据精确地证实了 phi29 马达含有六个拷贝 (Z) 的马达 atp 酶 gp16,并且 K = 1。来自临床编辑: 确定在生物体中形成纳米基因的亚基的拷贝数是一项艰巨的任务,因为与这种系统相关的复杂性和固有的小尺寸。在本文中,描述了一种简单的数学方法,如何使用 phi29 DNA 包装纳米马达作为模型来确定仿生纳米器件中拷贝的化学计量。

binomial distribution

肿瘤 统计学 临床研究术语
概述  :  

在随机现象中,最简单的是只有两个可能结果的随机现象。如接受治疗后的结果是有效、还是无效;手术后是生存,还是死亡。对这类问题的研究,不仅要确定2个可能出现的随机事件的概率,有时还要计算在独立、重复地进行N次观察时,某一事件出现k次的概率。   早期的统计学家对这类问题进行了研究,并总结出离散型随机变量中最常见的分布-二项分布。假设某个试验是伯努利试验,其成功概率用p表示,那么失败的概率为q=1-p。进行n次这样的试验,成功了x次,则失败次数为n-

Binomial   英 /baɪˈnəʊmiəl/   美 /baɪˈnoʊmiəl/

释    义   adj. 二项式的;双名的,二种名称的

               n. 二项式;双名词组,二种名称;成对词

例    句   If you follow through from the independent theory, there's one of the basic relations in probability theory--it's called the binomial distribution. 根据独立理论,概率论中有一个基本关系,叫做二项分布。

 

Distribution   英 /ˌdɪstrɪˈbjuːʃn/   美 /ˌdɪstrɪˈbjuːʃn/

释    义   n. 分布;分配;供应

同根词   distributed adj. 分布式的,分散式的

               distributive adj. 分配的;分布的;分发的

               distributional adj. 分配的;分发的

               distributively adv. 分配地;分发地;

               distributor n. 经销商;[电] 分配器;分配者;散布者;[电] 配电盘

               distributer n.分销商;分配器

               distributive n. [语] 分配词

               distribute vt. 分配;散布;分开;把…分类

例    句   They were then given another $2, which they could give either to the person directly above or below them in the distribution. 然后他们又被给予了2美元,这笔钱他们可以直接给予在分配中比自己高或者低的人。

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