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Related Experiment Video

Updated: Jul 6, 2026

Modeling the Functional Network for Spatial Navigation in the Human Brain

Modeling the Functional Network for Spatial Navigation in the Human Brain

Published on: October 13, 2023

Topological modelling of large networks.

Raúl J Mondragón¹

¹Department of Electronic Engineering, Queen Mary University of London, Mile End Road, London, UK. r.j.mondragon@elec.qmul.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|March 8, 2008

Summary

We developed a growth model to accurately simulate the complex topology of the autonomous system (AS)-Internet. This model, based on nonlinear preferential growth, successfully reproduces key network characteristics and aids in understanding network evolution and validation.

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Area of Science:

Network Science
Complex Systems
Internet Topology

Background:

The relationship between network topology and functionality is critical.
Accurate network models are essential for testing scenarios and predicting evolution.
Modeling large networks like the AS-Internet presents significant challenges due to disagreements on fundamental properties and validation methods.

Purpose of the Study:

To present a novel growth model for simulating large network topologies.
To validate the model's ability to reproduce the AS-Internet's topological characteristics.
To introduce an efficient visualization technique for network topology analysis.

Main Methods:

Utilizing a nonlinear preferential growth model.
Incorporating the reproduction of the network's 'rich club' phenomenon.
Employing a recent, fast, and simple network visualization technique.

Main Results:

The proposed growth model successfully replicates numerous topological features of the AS-Internet.
The model demonstrates the importance of nonlinear preferential growth and rich club structures.
A new visualization method was identified as effective for understanding complex network properties.

Conclusions:

A validated growth model can effectively represent the AS-Internet's topology.
Network visualization techniques are valuable for model validation and property analysis.
This work contributes to a better understanding and modeling of large-scale complex networks.