Related Experiment Video
Updated: Jan 24, 2026
08:39
Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
Published on: January 28, 2019
10.4K
Pattern phase diagram of spiking neurons on spatial networks
Dionysios Georgiadis1, Didier Sornette2
1Future Resilient Systems, Singapore and Department of Management, Technology and Economics, ETH Zurich, Switzerland.
Physical Review. E
|May 22, 2019
Summary
Researchers simulated neuronal activity, revealing spatiotemporal patterns and critical-like dynamics. Network structure influences these dynamics, leading to phenomena like neuronal avalanches following Zipf's law.
Area of Science:
- Computational neuroscience
- Complex systems
Background:
- Neuronal networks exhibit complex dynamics.
- Understanding emergent phenomena in neural systems is crucial.
Purpose of the Study:
- To investigate spatiotemporal pattern formation in an abstracted neuronal model.
- To explore the influence of network topology on neural dynamics.
Main Methods:
- Numerical simulation of pulse-coupled, discretized relaxation oscillators.
- Systematic variation of network edge density and spatial embeddedness.
Main Results:
- Observed a unique spatiotemporal pattern resembling a frothing liquid at intermediate edge density and high spatial embeddedness.
- Identified neuronal avalanche size distributions following Zipf's law (power law with exponent one) with increasing edge density.
- Documented a transition from pattern formation to metastability and finally to full synchrony as edge density increased.
Conclusions:
- Network topology significantly shapes emergent neuronal dynamics.
- The model exhibits critical-like behavior and phase transitions relevant to neural function.
Related Concept Videos
02:39Phase Diagrams
49.9K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
49.9K
01:19Phase Diagram
7.0K
The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
7.0K
02:26Protein Networks
4.5K
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.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.5K
01:10Energy Diagrams - II
11.8K
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...
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...
11.8K
01:18pV-Diagrams
6.1K
The pV diagram, which is a graph of pressure versus volume of the gas under study, is helpful in describing certain aspects of the substance. When the substance behaves like an ideal gas, the ideal gas equation describes the relationship between its pressure and volume. On a pV diagram, it is common to plot an isotherm, which is a curve showing p as a function of V with the number of molecules and the temperature fixed. Then, for an ideal gas, the product of the pressure of the gas and its...
6.1K
01:28Free-body Diagram
3.6K
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...
A free-body diagram transforms a complex problem into a simple representation, making it easy to understand the...
3.6K