Related Experiment Video
Updated: Jun 1, 2025
05:58
Plasma Lithography Surface Patterning for Creation of Cell Networks
Published on: June 14, 2011
12.7K
Surfacic networks
Marc Barthelemy1,2, Geoff Boeing3, Alain Chiaradia4
1Université Paris-Saclay, CNRS, CEA, Institut de Physique Théorique, Gif-sur-Yvette 91191, France.
PNAS Nexus
|January 20, 2025
Summary
New tools analyze elevation changes in surfacic networks, revealing how "excess effort" on shortest paths (SPs) follows a power law. This impacts urban and transport network analysis.
Area of Science:
- Complex systems analysis
- Network science
- Geographic information science
Background:
- Surfacic networks, like transportation and urban systems, are built on 2D manifolds.
- Node elevation fluctuations create deviations from planar networks, necessitating specialized analytical tools.
Purpose of the Study:
- To introduce novel metrics for analyzing elevation impacts on surfacic networks.
- To investigate how elevation changes influence network properties, particularly shortest paths and centrality.
Main Methods:
- Development of metrics: lazy paths, graph arduousness, and excess effort.
- Application of metrics to toy models and empirical analysis of urban pedestrian networks.
- Examination of elevation's effect on betweenness centrality distribution.
Main Results:
- Excess effort along shortest paths exhibits a non-universal power law distribution.
- Elevation changes significantly impact the spatial distribution of betweenness centrality.
- Steep slopes are probable along shortest paths irrespective of start/end elevation differences.
Conclusions:
- Elevation fluctuations are critical factors shaping surfacic network characteristics.
- The developed tools provide a framework for analyzing complex surface-constrained systems.
- Findings have implications for urban planning, transportation logistics, and network design.
More Related Videos
Related Concept Videos
01:14Wood Surfacing
88
Wood surfacing is a critical finishing process designed to smoothen the wood surface, enhance its dimensional accuracy, and make handling safer. This process compensates for potential shrinkage during the seasoning phase by marginally increasing the wood dimensions before surfacing. It also helps correct some distortions that may occur as the wood dries.
The equipment used in the surfacing process is a plane equipped with rotating blades. This tool efficiently smoothens the wood surface and can...
The equipment used in the surfacing process is a plane equipped with rotating blades. This tool efficiently smoothens the wood surface and can...
88
01:18Surface Membrane Barriers
1.0K
The skin and mucous membranes serve as the primary line of defense against pathogens by providing both physical and chemical protection. These barriers are essential in preventing the entry and establishment of microbes, thereby maintaining the integrity of the host.
The outer layer of the skin, the epidermis, is a robust barrier comprising layers of closely packed keratinized cells. This dense arrangement prevents microbes from penetrating the body. The periodic shedding of epidermal cells...
The outer layer of the skin, the epidermis, is a robust barrier comprising layers of closely packed keratinized cells. This dense arrangement prevents microbes from penetrating the body. The periodic shedding of epidermal cells...
1.0K
01:21Multiple Pipe Systems
402
Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
402
01:20Porosity and Absorption of Aggregate
255
Aggregates contain pores of varying sizes; while some are completely enclosed within the particles, others open onto the surface, allowing water to penetrate. The porosity of aggregates is a major factor contributing to the overall porosity of concrete, given that aggregates constitute about three-quarters of concrete's volume.
When all pores in an aggregate are filled with water, the aggregate is considered saturated and surface-dry. If left in dry air, water will evaporate until the...
When all pores in an aggregate are filled with water, the aggregate is considered saturated and surface-dry. If left in dry air, water will evaporate until the...
255
01:23Plane Potential Flows
363
Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform...
Uniform...
363
01:28Capillary Exchange
3.3K
The cardiovascular system's chief role is to disseminate gases, nutrients, waste, and other substances to the body's cells. Small molecules like gases, lipids, and lipid-soluble substances directly diffuse through capillary wall endothelial cell membranes. Glucose, amino acids, and ions, including sodium, potassium, calcium, and chloride, use transporters for facilitated diffusion via membrane-specific channels. Glucose, ions, and bigger molecules may also pass through intercellular...
3.3K