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Related Concept Videos

Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
Free-body Diagrams: Problem Solving01:30

Free-body Diagrams: Problem Solving

Free-body diagrams are essential tools for physicists and engineers studying the motion of objects. Free-body diagrams are graphical representations of the object or system under consideration, and they focus solely on the essential forces acting on the object. This tool helps break down complex problems into simpler models that are easier to understand and solve.
For example, consider a block with a mass of 10 kg released on an inclined plane at an angle of 30° to the horizontal, where the...
Energy Diagrams - II01:10

Energy Diagrams - II

Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The slope...
Drawing Free-body Diagrams: Rules01:16

Drawing Free-body Diagrams: Rules

The first step in describing and analyzing most phenomena in physics involves the careful drawing of a free-body diagram. Free-body diagrams are useful in analyzing forces acting on an object or system, and are employed extensively in the study and application of Newton's laws of motion. The steps to draw a free-body diagram are listed below:
Free Body Diagrams: Examples01:07

Free Body Diagrams: Examples

Solving problems that involve forces is easy using free-body diagrams. A free-body diagram is a sketch showing all the external forces that are acting on an object or system. The object or system is represented by a single isolated point (or free body). Only those forces acting on it that originate outside of the object or system—the external forces—are shown. The forces are represented by vectors extending outward from the free body. Imagine a person sitting on a chair. Here, the free-body...
Free-body Diagram01:28

Free-body Diagram

In mechanics, understanding the motion of objects is essential, and one tool that helps solve this problem is the free-body diagram. It is a simple but powerful graphical representation that succinctly represents all the forces acting on an object. A free-body diagram can represent a stationary or moving object, and is used in mechanics to explain the cause of an object's motion.
A free-body diagram transforms a complex problem into a simple representation, making it easy to understand the...

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Related Experiment Videos

Diagrams-to-Dynamics (D2D): Exploring causal loop diagram leverage points under uncertainty.

Jeroen F Uleman1, Loes Crielaard2, Leonie K Elsenburg3,2,4

  • 1Copenhagen Health Complexity Center, University of Copenhagen, Copenhagen, Denmark. jeroen.uleman@sund.ku.dk.

BMC Medicine
|June 18, 2026
PubMed
Summary
This summary is machine-generated.

Diagrams-to-Dynamics (D2D) converts causal loop diagrams into dynamic models for health and environmental research. This method identifies key intervention points, offering a more robust analysis than static methods.

Keywords:
AnalysisCausal loop diagramNetworkPackagePythonQuantificationSystem dynamics

Related Experiment Videos

Area of Science:

  • Systems Science
  • Computational Modeling

Background:

  • Causal loop diagrams (CLDs) are prevalent in health and environmental research for depicting complex causal relationships.
  • However, their static and qualitative nature limits dynamic analysis and intervention strategy development.

Purpose of the Study:

  • To introduce Diagrams-to-Dynamics (D2D), a novel method for transforming CLDs into exploratory system dynamics models.
  • To enable dynamic simulation and identification of leverage points from CLDs, even without empirical data.

Main Methods:

  • D2D converts CLDs into system dynamics models with minimal user input, labeling variables as stocks, flows, auxiliaries, or constants.
  • The method leverages existing CLD structure (connections and polarity) for simulation and intervention analysis.

Main Results:

  • D2D effectively distinguishes between high- and low-ranked leverage points.
  • The D2D method demonstrated higher consistency with a calibrated system dynamics model compared to static network centrality analysis.
  • D2D provides uncertainty estimates and guidance for future data collection.

Conclusions:

  • The D2D method is available as a Python package and web application to facilitate its adoption.
  • D2D aims to reduce the complexity barrier for researchers using CLDs to perform dynamic modeling.
  • Further research is recommended to validate D2D's utility across diverse applications and domains.