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相关概念视频

Structural Classification of Joints01:20

Structural Classification of Joints

Joints, also known as articulations, are classified based on their structural characteristics, i.e., based on whether the articulating surfaces of the adjacent bones are directly connected by fibrous connective tissue or cartilage, or whether the articulating surfaces contact each other within a fluid-filled joint cavity. These differences serve to divide the joints of the body into three structural classifications.
A fibrous joint is where the adjacent bones are united by fibrous connective...
Introduction to Structures01:30

Introduction to Structures

A structure is defined as a system of interconnected members designed to support or transfer forces and successfully withstand the loads acting on them. The internal forces of a structure can be determined by decomposing the structure and analyzing the free-body diagrams of the individual members or of a combination of members. This helps in understanding the structural elements' behavior and ensuring that the structure is stable and can withstand the subjected loads.
There are three main...
Space Trusses01:25

Space Trusses

A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. The space truss is widely used in various construction projects due to its adaptability and capacity to withstand complex loads.
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
Indeterminate Structure01:18

Indeterminate Structure

Indeterminate structures refer to structures where internal forces and reactions cannot be determined using only the equations of static equilibrium.  Indeterminate structures have more unknown forces and reaction forces than equations of static equilibrium that can be used to determine them. Indeterminate structures are often used in engineering to create complex, efficient, and aesthetically pleasing structures. There are various types of indeterminate structures used in engineering and some...
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
Bending of Members Made of Several Materials01:11

Bending of Members Made of Several Materials

In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...

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相关实验视频

Updated: Jun 28, 2026

Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging
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Co-analysis of Brain Structure and Function using fMRI and Diffusion-weighted Imaging

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分形几何学预测结构和功能连接体的动态差异.

Anca Rădulescu1, Eva Kaslik2, Alexandru Fikl3

  • 1Department of Mathematics, SUNY New Paltz, New Paltz, New York 12561, USA.

Chaos (Woodbury, N.Y.)
|September 25, 2025
PubMed
概括

这项研究引入了碎形几何学来分析大脑网络,揭示了结构和功能连接体的独特特性. 与传统的图形理论相比,基于碎形的方法为大脑动态提供了更好的标记.

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Dynamic Inter-subject Functional Connectivity Reveals Moment-to-Moment Brain Network Configurations Driven by Continuous or Communication Paradigms
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科学领域:

  • 神经科学是一个神经科学.
  • 复杂的系统复杂的系统.
  • 网络科学 网络科学

背景情况:

  • 了解大脑网络架构对于认知和疾病研究至关重要.
  • 传统的图形理论在捕捉神经动态的新兴特性方面存在局限性.
  • 需要新的方法来量化复杂的大脑网络行为.

研究的目的:

  • 通过复杂的动态和碎形几何学来引入一种用于量化大脑网络的新方法.
  • 探索曼德尔布罗特式集合和二次代对大脑连接组的应用.
  • 区分结构和功能连接体,并确定网络动态的优越标记.

主要方法:

  • 应用了复杂动力学,碎形几何学和非对称分析到大脑连接组的概念.
  • 利用二次的代和曼德尔布罗特式集合的几何性质.
  • 分析了结构性 (正) 和功能性 (签名) 连接组,包括它们的正负子网络.

主要成果:

  • 透露了结构和功能连接体之间的基本区别,通过尖端方位和 equi-M 集合几何.
  • 结构连接体表现出强大和可预测的特征,而功能连接体在任务中表现出更大的变化.
  • Equi-M 集合不变量有效地区分了休息状态和情绪任务状态,超过了传统的图形理论措施.

结论:

  • 基于碎形的方法为结构和功能大脑网络动态提供了新的见解.
  • 与静态连接措施相比,这些方法为新出现的网络动态提供了优越的标记.
  • 结合碎形几何学增强了网络神经科学,以了解自然系统中的信息流.