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相关概念视频

Sampling Distribution01:12

Sampling Distribution

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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example...
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F Distribution01:19

F Distribution

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The F distribution was named after Sir Ronald Fisher, an English statistician. The F statistic is a ratio (a fraction) with two sets of degrees of freedom; one for the numerator and one for the denominator. The F distribution is derived from the Student's t distribution. The values of the F distribution are squares of the corresponding values of the t distribution. One-Way ANOVA expands the t test for comparing more than two groups. The scope of that derivation is beyond the level of this...
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Sampling Theorem01:15

Sampling Theorem

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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
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Distribution and Dispersion00:54

Distribution and Dispersion

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To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
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Cluster Sampling Method01:20

Cluster Sampling Method

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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
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Sampling Methods: Overview01:06

Sampling Methods: Overview

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A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
In analytical chemistry, the choice of...
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相关实验视频

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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

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对于费勒扩散的凝聚和采样分布.

Conrad J Burden1, Robert C Griffiths2

  • 1Mathematical Sciences Institute, Australian National University, Canberra, Australia.

Theoretical population biology
|December 13, 2023
PubMed
概括

这项研究通过检查凝聚过程来分析人口增长的模型 - - 费勒扩散. 研究人员计算了亚临界和超临界人口动态的祖先分布和凝聚树特性.

科学领域:

  • 随机过程是指随机的过程.
  • 人口动态 人口动态
  • 数学生物学的数学生物学

背景情况:

  • 费勒的扩散方程以独立个体的种群增长为模型.
  • 凝聚过程对于了解人口历史和遗传多样性至关重要.
  • 之前的工作确立了费勒的解决方案,但缺乏详细的凝聚分析.

研究的目的:

  • 研究与费勒扩散模型相关的凝聚过程.
  • 计算来自费勒扩散的样本祖先数量的分布.
  • 在亚临界和超临界扩散中对聚合树群体和样本树进行表征.

主要方法:

  • 对前向扩散方程的分析 u_t(t,x) = 1/2{xu(t,x)}_xx - α{xu(t,x)}_x.
  • 计算 A_n(s;t 的分布,即时间 s 的祖先数,对于时间 t 的大小 n 的样本.
  • 在亚临界扩散 (不灭绝为t→∞) 中对凝聚树的条件分析.
  • 一个创始人凝聚树的构建和超临界扩散中的凝聚时间的推导.

主要成果:

  • 祖先数量的分布 A_n(s;t) 为费勒扩散推导出来.
  • 对于亚临界扩散,发现了种群分布和样本凝聚树的分布,条件是不灭绝.
关键词:
分支的过程分支过程.燃烧的焦炭是一种光.扩散过程中的扩散过程.费勒的扩散是因为费勒扩散.采样分布 采样分布

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Determination of Lipid Raft Partitioning of Fluorescently-tagged Probes in Living Cells by Fluorescence Correlation Spectroscopy FCS
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  • 对于超临界扩散,构建了一个具有单个创始人的凝聚树,并得出凝聚时间.

    • 结论:

    • 这项研究提供了费勒人口增长模型中凝聚现象的全面分析.
    • 了解这些凝聚过程对于从遗传数据中推断人口历史至关重要.
    • 这些发现为祖先血统在分支过程中的结构提供了新的见解.