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Related Concept Videos

Protein Networks02:26

Protein Networks

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An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
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What do you think is the single most influential factor in determining with whom you become friends and whom you form romantic relationships? You might be surprised to learn that the answer is simple: the people with whom you have the most contact. This most important factor is proximity. You are more likely to be friends with people you have regular contact with. For example, there are decades of research that shows that you are more likely to become friends with people who live in your dorm,...
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Design Example: Analyzing Capacity Contours for Flood Risk Assessment01:17

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Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...
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In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
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Bonanno's Theory of Grieving01:17

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Grieving is a complex psychological and emotional process that varies significantly among individuals. George Bonanno's research on bereavement identified four distinct patterns of grieving, offering a nuanced understanding of how people cope with significant loss, such as the death of a spouse, over extended periods. These patterns — resilience, recovery, chronic dysfunction, and delayed grief — highlight the diversity in emotional responses and adaptive mechanisms.
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Related Experiment Video

Updated: Mar 25, 2026

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Universal resilience patterns in complex networks.

Jianxi Gao1, Baruch Barzel2, Albert-László Barabási1,3,4,5

  • 1Center for Complex Network Research, Department of Physics, Northeastern University, Boston, Massachusetts 02115, USA.

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Summary
This summary is machine-generated.

Complex systems can lose resilience unpredictably, impacting health, economies, and environments. New analytical tools predict resilience in multi-dimensional systems, offering ways to prevent collapse and design robust technologies.

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Area of Science:

  • Complex Systems Science
  • Network Theory
  • Systems Biology

Background:

  • Resilience is crucial for complex systems facing failures and environmental changes.
  • Loss of resilience in ecological, economic, and technological systems has severe, often irreversible consequences.
  • Current analytical frameworks are inadequate for multi-dimensional, complex network systems.

Purpose of the Study:

  • To bridge the theoretical gap in understanding resilience for multi-dimensional complex systems.
  • To develop analytical tools for predicting system resilience.
  • To identify network characteristics influencing resilience.

Main Methods:

  • Developed analytical tools to identify control and state parameters in multi-dimensional systems.
  • Derived effective one-dimensional dynamics from complex network behaviors.
  • Separated system dynamics and topology to create a universal resilience function.

Main Results:

  • The new framework accurately predicts resilience in multi-dimensional systems.
  • Identified specific network characteristics that enhance or diminish resilience.
  • Demonstrated the ability to collapse diverse network behaviors onto a single resilience function.

Conclusions:

  • The developed analytical framework provides a universal approach to understanding and predicting system resilience.
  • Offers strategies to prevent catastrophic system collapses in various domains.
  • Guides the design of more resilient technological and biological systems.