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Related Experiment Video

Updated: Jul 15, 2026

Inherent Dynamics Visualizer, an Interactive Application for Evaluating and Visualizing Outputs from a Gene Regulatory Network Inference Pipeline

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Dissipative self-organized branching in a dynamic population.

Dranreb Earl Juanico¹, Christopher Monterola, Caesar Saloma

¹National Institute of Physics, University of the Philippines, Diliman, Quezon City 1101, Philippines.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 16, 2007

Summary

This study shows that self-organized branching processes can reach criticality without energy conservation. This finding explains phenomena like fish school size distributions and brain activity patterns.

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Area of Science:

Complex systems
Theoretical physics
Biophysics

Background:

Self-Organized Branching Processes (SOBP) are typically assumed to be locally conservative for criticality.
Excitable agent systems exhibit spontaneous excitation and deexcitation dynamics.

Purpose of the Study:

To investigate criticality in a locally nonconservative SOBP within an open system.
To explore the implications of nonconservative dynamics on system stability and emergent properties.

Main Methods:

Modeling a system of excitable agents with spontaneous excitation and deexcitation.
Analyzing the system's behavior under locally nonconservative conditions.
Comparing model predictions with empirical data from biological systems.

Main Results:

The locally nonconservative SOBP achieves criticality despite the absence of energy conservation.
The system relaxes to a stable state with no overexcited agents.
The model successfully explains characteristic size distributions observed in tuna fish schools and neuronal avalanches.

Conclusions:

Criticality in SOBPs is not strictly dependent on local energy conservation.
Nonconservative dynamics can lead to emergent critical phenomena in open systems.
The developed model provides a unified explanation for size distributions in diverse biological systems.