Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Survival Tree01:19

Survival Tree

369
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
 Building a Survival Tree
Constructing a...
369
Social Traps01:41

Social Traps

26.2K
Social traps are negative situations where people get caught in a direction or relationship that later proves to be unpleasant, with no easy way to back out of or avoid. The concept was orignally introduced by John Platt who applied psychology to Garrett Hardin's "Tragedy of the Commons", where in New England herd owners could let their cattle graze in the common ground. This situation seems like a good idea, but an individual could have an advantage. If they owned...
26.2K
Phylogenetic Trees03:21

Phylogenetic Trees

49.1K
Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
49.1K
Evolutionary Relationships through Genome Comparisons02:54

Evolutionary Relationships through Genome Comparisons

6.8K
Genome comparison is one of the excellent ways to interpret the evolutionary relationships between organisms. The basic principle of genome comparison is that if two species share a common feature, it is likely encoded by the DNA sequence conserved between both species. The advent of genome sequencing technologies in the late 20th century enabled scientists to understand the concept of conservation of domains between species and helped them to deduce evolutionary relationships across diverse...
6.8K
Phylogeny01:23

Phylogeny

56.6K
Phylogeny is concerned with the evolutionary diversification of organisms or groups of organisms. A group of organisms with a name is called a taxon (singular). Taxa (plural) can span different levels of the evolutionary hierarchy. For instance, the group containing all birds is a taxon (comprising the class Aves), and the group of all species of daisies (the genus Bellis) is a taxon. Phylogenies can likewise include just one genus (i.e., depict species relationships) or span an entire kingdom.
56.6K
Theorems of Pappus and Guldinus: Problem Solving01:12

Theorems of Pappus and Guldinus: Problem Solving

1.0K
Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a...
1.0K

You might also read

Related Articles

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

Sort by
Same author

Mechanical interactions govern self-organized ordering in bacterial colonies on surfaces.

Physical biology·2026
Same author

Kinesin-Induced Buckling Reveals the Limits of Microtubule Self-Repair.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Alternatively spliced STIM2.3 is an evolutionarily late store-operated Ca2+ entry regulator expressed in brain.

Journal of cell science·2026
Same author

Sigma B regulated motility and chemotaxis in <i>Bacillus cereus</i>.

Microbiology (Reading, England)·2026
Same author

Tracking the morphological evolution of neuronal dendrites by first-passage analysis.

Biophysical journal·2025
Same author

Optimal Chirality Enhances Long-Range Fluctuation-Induced Interactions in Active Fluids.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2025

Related Experiment Video

Updated: Jan 8, 2026

Quantifying Corticolous Arthropods Using Sticky Traps
05:28

Quantifying Corticolous Arthropods Using Sticky Traps

Published on: January 19, 2020

5.8K

Inferring tree structure with hidden traps from first-passage times.

Fabian H Kreten1, Ludger Santen1, Reza Shaebani1

  • 1Saarland University, Department of Theoretical Physics and Center for Biophysics, 66123 Saarbrücken, Germany.

Physical Review. E
|December 23, 2025
PubMed
Summary

Analyzing random walks on trees reveals unique structural identification using first-passage-time factorial moments. This method reconstructs treelike networks, even with complex waiting times, applicable to biological transport.

More Related Videos

A Practical Guide to Phylogenetics for Nonexperts
12:00

A Practical Guide to Phylogenetics for Nonexperts

Published on: February 5, 2014

36.0K
Building Double-decker Traps for Early Detection of Emerald Ash Borer
06:07

Building Double-decker Traps for Early Detection of Emerald Ash Borer

Published on: October 4, 2017

8.2K

Related Experiment Videos

Last Updated: Jan 8, 2026

Quantifying Corticolous Arthropods Using Sticky Traps
05:28

Quantifying Corticolous Arthropods Using Sticky Traps

Published on: January 19, 2020

5.8K
A Practical Guide to Phylogenetics for Nonexperts
12:00

A Practical Guide to Phylogenetics for Nonexperts

Published on: February 5, 2014

36.0K
Building Double-decker Traps for Early Detection of Emerald Ash Borer
06:07

Building Double-decker Traps for Early Detection of Emerald Ash Borer

Published on: October 4, 2017

8.2K

Area of Science:

  • Network science
  • Statistical physics
  • Stochastic processes

Background:

  • Tracer particle movement analysis is key to understanding complex structures.
  • Random walks on treelike networks are used to model various phenomena.

Purpose of the Study:

  • To infer tree depth and geometric bias in finite Cayley trees using random walks.
  • To develop methods for reconstructing treelike networks from first-passage-time data, even with waiting times.

Main Methods:

  • Analysis of first-passage-time factorial moments (FPTFMs) of discrete-time random walks on finite Cayley trees.
  • Decomposition of the first-passage-time (FPT) distribution generating function to account for waiting times.
  • Utilizing nonlinear equations relating waiting-time moments and FPTFMs.
  • Employing varying initial conditions or Fourier transform fitting for unique structure determination.

Main Results:

  • The first two FPTFMs uniquely determine tree structure in simple random walks.
  • Waiting times complicate structural identification, requiring analysis of waiting-time distributions.
  • Unique structural determination is achieved for geometrically and power-law distributed waiting times using advanced methods.
  • A framework for reconstructing treelike networks from FPT data is established.

Conclusions:

  • First-passage-time analysis provides a robust method for characterizing treelike network structures.
  • The developed framework is applicable to real-world systems like biological transport networks.
  • Advanced statistical methods can overcome complexities introduced by waiting times in random walks.