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相关概念视频

Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Hardy-Weinberg Principle01:49

Hardy-Weinberg Principle

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Diploid organisms have two alleles of each gene, one from each parent, in their somatic cells. Therefore, each individual contributes two alleles to the gene pool of the population. The gene pool of a population is the sum of every allele of all genes within that population and has some degree of variation. Genetic variation is typically expressed as a relative frequency, which is the percentage of the total population that has a given allele, genotype or phenotype.
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Genetic Drift03:33

Genetic Drift

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Natural selection—probably the most well-known evolutionary mechanism—increases the prevalence of traits that enhance survival and reproduction. However, evolution does not merely propagate favorable traits, nor does it always benefit populations.
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Gene Flow

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Gene flow is the transfer of genes among populations, resulting from either the dispersal of gametes or from the migration of individuals.
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What is Population Genetics?01:25

What is Population Genetics?

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A population is composed of members of the same species that simultaneously live and interact in the same area. When individuals in a population breed, they pass down their genes to their offspring. Many of these genes are polymorphic, meaning that they occur in multiple variants. Such variations of a gene are referred to as alleles. The collective set of all the alleles within a population is known as the gene pool.
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相关实验视频

Updated: May 11, 2025

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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基于人口进化理论的粒状土壤颗粒破裂预测模型.

Yao Long1, Junhua Chen2, Yuanjie Xiao3

  • 1School of Railway Engineering, Hunan Technical College of Railway High-Speed, Hengyang, 421002, Hunan, China.

Scientific reports
|April 16, 2025
PubMed
概括

对于颗粒状土壤而言,一种新的颗粒破裂模型使用人口进化理论来预测土壤的行为. 这个模型准确地描述了在各种条件下粒子大小的变化.

关键词:
断裂模型中的断裂模型颗粒状土壤土壤颗粒状土壤集团内部约束 集团内部约束颗粒破裂的原因是颗粒破裂.人口进化的人口进化.

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科学领域:

  • 地质技术工程 地质技术工程
  • 土壤力学 土壤力学
  • 材料科学 材料科学 材料科学

背景情况:

  • 颗粒破裂显著影响颗粒状土壤的机械行为.
  • 现有的模型往往缺乏完全捕捉复杂的断裂过程在不同的条件的能力.

研究的目的:

  • 根据人口进化理论,开发一种新的颗粒碎裂模型,用于颗粒状土壤.
  • 引入和定义控制粒子破裂的关键参数,例如迁移速率 (k),综合环境影响系数 (r_ij),能量消耗率 (m_ij) 和有效约束系数 (β).

主要方法:

  • 建立了人口进化和粒子破裂之间的关系.
  • 引入了具有详细物理意义和计算方法的新参数.
  • 分析模型特征,包括单分散性,极端颗粒组的平衡性和超限粒子组的包容性.
  • 导出诸如碎形维度和压碎系数等参数来量化断裂.

主要成果:

  • 开发的模型准确地描述了粒子裂变的演变.
  • 使用单粒子和多粒子大小小组测试的实验数据进行验证,证实了该模型的预测能力.
  • 该模型在不同的土壤条件和压力状态中表现出有效性.

结论:

  • 这种基于人口进化的新型模型为理解和预测颗粒碎裂在颗粒状土壤中提供了强大的框架.
  • 引入的参数提供了对断裂机制的定量见解.
  • 该模型的验证准确性支持其在各种地质工程场景中的应用.