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相关概念视频

Distribution and Dispersion00:54

Distribution and Dispersion

21.3K
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...
21.3K
Diffusion01:21

Diffusion

3.8K
Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
3.8K
Protein Diffusion in the Membrane01:24

Protein Diffusion in the Membrane

4.3K
Proteins show rotational as well as lateral diffusion across the membrane. The lateral diffusion of proteins was confirmed through the cell fusion experiment where mouse and human cells were fused, resulting in hybrid cells. When the human and mouse cells fused, the specific membrane proteins on human and mouse cells were marked with the red and green-fluorescent markers, respectively. Initially, the red and green fluorescence was located on the respective hemisphere of the cell. As time...
4.3K
Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

617
Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
617
Passive Diffusion: Overview and Kinetics01:17

Passive Diffusion: Overview and Kinetics

336
Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
When administered orally, drugs establish a substantial concentration gradient between the gastrointestinal (GI) lumen and the bloodstream, expediting...
336
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

240
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
240

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相关实验视频

Updated: May 12, 2025

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

Published on: September 26, 2016

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在异质环境中聚合-扩散.

Jonathan R Potts1

  • 1School of Mathematical and Physical Sciences, The University of Sheffield, Hounsfield Road, Sheffield, S3 7RH, UK. j.potts@sheffield.ac.uk.

Journal of mathematical biology
|May 8, 2025
PubMed
概括
此摘要是机器生成的。

这项研究使用聚合-扩散方程在异质环境中模拟生物聚合. 研究结果揭示了环境资源和集体运动如何塑造生物体空间使用的反直觉模式.

关键词:
生物聚合物 生物聚合物能量功能的函数.非局部向导 非局部向导部分微分方程部分微分方程.人口生物学 人口生物学

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Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
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Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

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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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Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior
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Generating Controlled, Dynamic Chemical Landscapes to Study Microbial Behavior

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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations
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Monitoring Spatial Segregation in Surface Colonizing Microbial Populations

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科学领域:

  • 数学生物学 数学生物学
  • 生态生态学 生态生态学
  • 统计力学 统计力学

背景情况:

  • 聚合-扩散方程模型集体生物的运动和空间使用.
  • 现有的模型往往忽略了环境对运动模式的影响.
  • 环境异质性对于理解新出现的空间分布至关重要.

研究的目的:

  • 在一维异构环境中研究聚合-扩散方程.
  • 开发一种方法,通过尽量减少能源功能来预测新出现的空间使用模式.
  • 分析自我吸引力和环境资源吸引力对聚合的综合影响.

主要方法:

  • 用二次扩散来导出稳态解决方案的分析表达式.
  • 尽量减少能量函数,以预测新出现的空间使用模式.
  • 数字模拟用于验证资源集场景中的分析预测.

主要成果:

  • 确定了反直觉的发现:非单调的块宽度依赖性和在强有力的资源吸引下自我吸引和聚合宽度之间的正相关性.
  • 证明了自我吸引力和资源分配对聚合模式的联合影响.
  • 通过数值模拟验证分析预测.

结论:

  • 严格展示环境因素和集体行为如何相互作用来塑造生物体的空间使用.
  • 突出了生物聚合物中意想不到的新兴模式的潜力.
  • 为研究复杂环境中的空间生态学提供了一个数学框架.