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

339
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...
339
Area Computation by the Alternative Coordinate Method01:24

Area Computation by the Alternative Coordinate Method

472
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
472
Areas Within Irregular Boundaries01:26

Areas Within Irregular Boundaries

289
Calculating areas within irregular boundaries, such as along rivers or curved roads, is crucial in various fields, including surveying, engineering, and environmental management. Surveyors often begin by creating a traverse, a connected series of straight lines approximating the area's boundary. The coordinates of each traverse point are essential for calculating the enclosed area. The double meridian distance formula is a widely used technique for this purpose. This method utilizes the...
289
The Distance Formula01:20

The Distance Formula

505
In geometry, measuring the direct distance between two points on a plane is essential in various practical and theoretical applications. Whether in navigation, engineering, or computer graphics, determining the shortest path between two locations involves using the distance formula. This formula is derived from the Pythagorean Theorem, which relates the lengths of the sides of a right triangle. On a coordinate plane, the horizontal and vertical distances between two points serve as the legs of...
505
Adjusting a Traverse01:12

Adjusting a Traverse

311
In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
311
Accuracy, limits, and approximation01:28

Accuracy, limits, and approximation

1.0K
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
1.0K

You might also read

Related Articles

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

Sort by
Same author

Association of esketamine exposure with secondary sclerosing cholangitis in critically ill patients: a retrospective cohort analysis of 20,000 ICU cases.

Journal of intensive care·2026
Same author

Effects of heatwaves on emergency medical service activity in Vienna: a 4-year analysis.

Scientific reports·2026
Same author

Reasons behind individuals' self-ratings of health: an analysis of responses to an open-ended survey question.

BMC public health·2026
Same author

Long-distance genetic relatedness in megalithic central Europe.

Science (New York, N.Y.)·2026
Same author

Impact of high-altitude exposure on Torque Teno virus and immunosuppression levels in lung transplantation recipients: climbing Mount Jebel Toubkal.

Scientific reports·2026
Same author

Halibee member archaeology: Middle Stone Age environment, technology, and postmortem modifications.

Proceedings of the National Academy of Sciences of the United States of America·2026

Related Experiment Video

Updated: Dec 29, 2025

Author Spotlight: Advancements in X-ray CT Tool Chain for Tree Core Analysis
06:56

Author Spotlight: Advancements in X-ray CT Tool Chain for Tree Core Analysis

Published on: September 22, 2023

1.5K

Exact and approximate formulas for contact tracing on random trees.

Augustine Okolie1, Johannes Müller2

  • 1Center for Mathematical Sciences, Technische Universität München, Garching 85748, Germany.

Mathematical Biosciences
|February 5, 2020
PubMed
Summary

This study introduces a stochastic SIR model with contact tracing on random trees, providing exact formulas for infectious periods. It extends contact tracing theory to tree structures, analyzing the impact of randomness and reproduction numbers.

Keywords:
Branching processContact tracingMessage passing modelNetworkStochastic SIR modelTree

More Related Videos

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.6K
Leaf Area Index Estimation Using Three Distinct Methods in Pure Deciduous Stands
09:04

Leaf Area Index Estimation Using Three Distinct Methods in Pure Deciduous Stands

Published on: August 29, 2019

14.0K

Related Experiment Videos

Last Updated: Dec 29, 2025

Author Spotlight: Advancements in X-ray CT Tool Chain for Tree Core Analysis
06:56

Author Spotlight: Advancements in X-ray CT Tool Chain for Tree Core Analysis

Published on: September 22, 2023

1.5K
Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach
04:35

Development of an Individual-Tree Basal Area Increment Model using a Linear Mixed-Effects Approach

Published on: July 3, 2020

3.6K
Leaf Area Index Estimation Using Three Distinct Methods in Pure Deciduous Stands
09:04

Leaf Area Index Estimation Using Three Distinct Methods in Pure Deciduous Stands

Published on: August 29, 2019

14.0K

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Network Science

Background:

  • Stochastic SIR models are crucial for understanding infectious disease dynamics.
  • Contact tracing is a key intervention, but its application on complex networks is challenging.
  • Random tree structures and the configuration model offer realistic representations of contact networks.

Purpose of the Study:

  • To analyze a stochastic SIR model with contact tracing on random tree networks.
  • To derive exact formulas for infectious period distributions in this model.
  • To extend existing contact tracing theories to non-homogeneous populations.

Main Methods:

  • Stochastic SIR model simulation on rooted trees and configuration models.
  • Derivation of exact formulas for infectious period distribution.
  • Extension of homogeneously mixing population theories to tree structures.
  • Development of approximate mean-field equations and message-passing methods.

Main Results:

  • Exact formulas for infectious period distribution were obtained for SIR models on trees.
  • Contact tracing theory was successfully extended to tree-shaped contact graphs.
  • The influence of network randomness and the basic reproduction number on disease spread was analyzed.
  • Homogeneously mixing results were recovered as a limit case.

Conclusions:

  • The study provides a robust framework for analyzing infectious disease dynamics with contact tracing on complex networks.
  • Results highlight the significant impact of network structure and randomness on epidemic outcomes.
  • The developed methods offer valuable tools for public health interventions in real-world contact networks.