Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Wald-Wolfowitz Runs Test I

Wald-Wolfowitz Runs Test I

The Wald-Wolfowitz test, also known as the runs test, is a nonparametric statistical test used to assess the randomness of a sequence of two different types of elements (e.g., positive/negative values, successes/failures). It examines whether the order of the elements in a sequence is random or if there is a pattern or trend present. This nonparametric test applies to any ordered data despite the population and sample data distribution, even if a higher sample size is available.
The test works...

Protein Networks

Protein Networks

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,...

Random Variables

Random Variables

A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Promoting contraceptive use among unmarried female migrants in one factory in Shanghai: a pilot workplace intervention.

BMC health services research·2007

Same author

Apoptosis related protein 3, an ATRA-upregulated membrane protein arrests the cell cycle at G1/S phase by decreasing the expression of cyclin D1.

Biochemical and biophysical research communications·2007

Same author

Efficient one-pot synthesis of highly substituted pyridin-2(1H)-ones via the Vilsmeier-Haack reaction of 1-acetyl,1-carbamoyl cyclopropanes.

Organic letters·2007

Same author

Effects of Andrographitis Paniculata extracts on the expression of CD40 in endothelial cells.

Journal of Huazhong University of Science and Technology. Medical sciences = Hua zhong ke ji da xue xue bao. Yi xue Ying De wen ban = Huazhong keji daxue xuebao. Yixue Yingdewen ban·2007

Same author

Theoretical and experimental investigations on the size of alginate microspheres prepared by dropping and spraying.

Journal of microencapsulation·2007

Same author

Beneficial effects of losartan on vascular injury induced by advanced glycosylation end products and their receptors in spontaneous hypertension rats.

Molecular and cellular biochemistry·2007

Same journal

Application of ephrin-B2 loaded glycol chitosan-silk fibroin hydrogel in the treatment of diabetic refractory wounds.

Scientific reports·2026

Same journal

International expert Delphi consensus on thromboprophylaxis in metabolic and bariatric surgery.

Scientific reports·2026

Same journal

Assessing the cross-region knowledge transfer capability of selected deep learning building vectorization methods in the context of available training datasets.

Scientific reports·2026

Same journal

Feasibility and preliminary effects of outdoor versus indoor cognitive-motor therapy in women with Alzheimer's disease: A randomized single-blind pilot study.

Scientific reports·2026

Same journal

Hallmarks of social action in the vocal turn-taking of wild common marmosets (Callithrix jacchus).

Scientific reports·2026

Same journal

Role and mechanism of AOPPs-induced NOX4-mediated ferroptosis in intervertebral disc degeneration.

Scientific reports·2026

See all related articles

Search research articles

Related Experiment Video

Updated: Mar 11, 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

Navigation by anomalous random walks on complex networks.

Tongfeng Weng¹, Jie Zhang², Moein Khajehnejad¹

¹HKUST-DT System and Media Laboratory, Hong Kong University of Science and Technology, HongKong.

Scientific Reports

|November 24, 2016

Summary

This summary is machine-generated.

We introduce mean first traverse distance (MFTD) to measure search costs in anomalous random walks on networks. This new metric helps understand diffusion dynamics and optimize search algorithms like PageRank.

More Related Videos

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

Related Experiment Videos

Last Updated: Mar 11, 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

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Asymmetric Walkway: A Novel Behavioral Assay for Studying Asymmetric Locomotion

Published on: January 15, 2016

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

Area of Science:

Network science
Statistical physics
Complex systems

Background:

Anomalous random walks with long-range jumps model network search and transport.
Traditional metrics like mean first passage time ignore jump costs.

Purpose of the Study:

Introduce mean first traverse distance (MFTD) for anomalous random walks.
Develop a procedure to calculate MFTD between network nodes.
Analyze Lévy walks and PageRank search using the MFTD framework.

Main Methods:

Defined and derived the mean first traverse distance (MFTD).
Applied the MFTD calculation to Lévy walks on networks.
Integrated MFTD analysis into the PageRank algorithm.

Main Results:

MFTD quantifies the cost of anomalous random walks on networks.
The approach reveals the interplay between diffusion dynamics and network structure.
MFTD provides insights into the optimality of PageRank search.

Conclusions:

MFTD offers a novel paradigm for analyzing anomalous diffusion on networks.
The framework unifies the characterization of search and transport processes.
This method enhances understanding of complex network dynamics.