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Related Concept Videos

Short-distance Transport of Resources02:12

Short-distance Transport of Resources

Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
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Graphs of functions provide a visual representation of how output values change in response to varying inputs. Each point on the graph corresponds to an ordered pair, where the x-coordinate (independent variable) determines the horizontal position and the y-coordinate (dependent variable) determines the vertical position. Linear functions like y = x give a straight line, indicating a constant rate of change.Nonlinear functions display more complex behaviors. Even power functions generate...
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Related Experiment Video

Updated: May 18, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
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Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Competition for shortest paths on sparse graphs.

Chi Ho Yeung1, David Saad

  • 1The Nonlinearity and Complexity Research Group, Aston University, Birmingham B4 7ET, United Kingdom.

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

This study analyzes optimal network routing with congestion costs. Findings reveal complex behaviors in path length and convergence, leading to a new scalable routing algorithm.

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Last Updated: May 18, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Network Science
  • Computer Science
  • Applied Mathematics

Background:

  • Network routing is crucial for data transmission.
  • Congestion significantly impacts routing efficiency.
  • Understanding complex network behaviors is essential.

Purpose of the Study:

  • To analytically study optimal paths in networks with nonlinear overlap costs.
  • To investigate the impact of node and router densities on routing.
  • To develop a scalable routing algorithm.

Main Methods:

  • Analytical modeling of network paths.
  • Analysis of nonlinear overlap costs and congestion.
  • Investigation of ergodicity breaking in multi-router systems.

Main Results:

  • Routing difficulty increases with selected nodes.
  • Ergodicity breaking observed with multiple routers.
  • Nonmonotonic behaviors in path length and convergence found, dependent on topology and densities.

Conclusions:

  • Network topology and densities critically influence routing performance.
  • A novel distributed, linearly scalable routing algorithm was developed.
  • The study provides insights into complex routing dynamics.