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Related Concept Videos

Introduction to Joints00:58

Introduction to Joints

4.8K
The adult human body usually has 206 bones, and except for the hyoid bone in the neck, each bone is connected to at least one other bone. Joints are the location where bones come together. Many joints allow for movement between the bones. At these joints, the articulating surfaces of the adjacent bones can move smoothly against each other. However, the bones of other joints may be joined by connective tissue or cartilage. These joints are designed for stability and provide little or no...
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Structural Classification of Joints01:20

Structural Classification of Joints

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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...
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Method of Joints: Problem Solving II01:30

Method of Joints: Problem Solving II

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Consider a truss structure with frictionless joints fixed to a wall and roller support. If a force of 150 N is applied to joint A, the forces in each member of the truss can be determined using the method of joints.
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Joints01:26

Joints

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Joints, also called articulations or articular surfaces, are points at which ligaments or other tissues connect adjacent bones. Joints permit movement and stability, and can be classified based on their structure or function.
Structural joint classifications are based on the material that makes up the joint as well as whether or not the joint contains a space between the bones. Joints are structurally classified as fibrous, cartilaginous, or synovial.
Fibrous Joints Are Immovable
The bones of a...
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Method of Joints: Problem Solving I01:30

Method of Joints: Problem Solving I

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The method of joints is a commonly used technique to analyze the forces in structural trusses. The method is based on the principle of equilibrium, which assumes that the truss members are connected by frictionless pins. The forces at each joint can be determined by considering the equilibrium of the forces acting on that joint. Consider a truss structure with two forces of 20 N and 10 N acting at joints C and D, respectively. The method of joints can be used to determine the forces FCB, FDC,...
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Modeling with Differential Equations01:25

Modeling with Differential Equations

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Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...
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Introduction to the special issue on joint modelling techniques.

Dimitris Rizopoulos1, Emmanuel Lesaffre

  • 11Department of Biostatistics, Erasmus University Medical Center, the Netherlands.

Statistical Methods in Medical Research
|January 15, 2014
PubMed
Summary
This summary is machine-generated.

Recent advances in joint modeling techniques offer versatile solutions for diverse applications. This special issue highlights key developments and contributions in the field of statistical methods.

Keywords:
Dropoutlongitudinal datamissing datarandom effectssurvival datatime-dependent covariates

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Area of Science:

  • Statistics
  • Biostatistics
  • Medical Research

Background:

  • Joint modeling techniques have advanced significantly in recent years.
  • Various joint models have been developed to address a wide range of applications.
  • This special issue focuses on recent progress in this statistical domain.

Purpose of the Study:

  • To present recent developments in joint modeling techniques.
  • To provide background material on the advancements in the field.
  • To highlight the contributions within this special issue.

Main Methods:

  • Review of recent advancements in joint modeling.
  • Compilation of contributions from leading researchers.
  • Introductory overview of statistical methods in joint modeling.

Main Results:

  • The field of joint modeling has seen substantial progress.
  • Multiple types of joint models are now available.
  • This issue showcases cutting-edge research and applications.

Conclusions:

  • Joint modeling techniques are a rapidly evolving area of statistics.
  • The presented contributions offer valuable insights into modern applications.
  • This special issue serves as a key resource for researchers in the field.