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Related Concept Videos

Tuberculosis01:23

Tuberculosis

Tuberculosis (TB) remains a significant global health concern, primarily targeting the lungs and spreading through airborne transmission. Infection begins when aerosolized droplet nuclei, expelled by an individual with active TB, are inhaled by another person. These microscopic particles carry Mycobacterium tuberculosis, the causative agent of TB. Upon reaching the alveoli, the bacilli are engulfed by alveolar macrophages. However, due to their specialized lipid-rich cell wall, these pathogens...
Pulmonary Tuberculosis II01:28

Pulmonary Tuberculosis II

Tuberculosis, or TB, is a bacterial infectious disease caused by Mycobacterium tuberculosis. While its primary impact is on the lungs, leading to pulmonary tuberculosis, it can also affect various other organs, a condition referred to as extrapulmonary tuberculosis.
Here is a detailed explanation of its pathophysiology:
Transmission: The process begins when a person inhales droplet nuclei containing M. tuberculosis. These are typically released into the air when an individual with pulmonary or...
Pulmonary Tuberculosis I01:29

Pulmonary Tuberculosis I

Tuberculosis, often called TB, is a contagious illness primarily caused by Mycobacterium tuberculosis. It mainly affects the lung parenchyma but can also impact other body parts.
Causative Organism
The primary infectious agent causing tuberculosis is Mycobacterium tuberculosis, a slow-growing, acid-fast, aerobic rod that exhibits sensitivity to heat and ultraviolet light. Instances of Mycobacterium bovis and Mycobacterium avium contributing to the development of TB infection are rare.
Mode of...
Pulmonary Tuberculosis III01:31

Pulmonary Tuberculosis III

Tuberculosis (TB) is a contagious infection primarily affecting the lung parenchyma but which can also affect other body parts. TB can be classified based on disease development, presentation, and the affected anatomical site.
The first classification is based on the development of the disease, and it includes the following categories:
Pulmonary Tuberculosis V01:28

Pulmonary Tuberculosis V

Medical management of tuberculosis (TB) patients involves a comprehensive approach that includes diagnosis, treatment, and monitoring. The specific strategies can vary depending on the type of tuberculosis (latent or active), the patient's overall health status, and other considerations.
Latent tuberculosis infection occurs when TB bacteria are present in a person's body, but are not causing illness or symptoms. It is not contagious, and preventive treatment is crucial to avoid the progression...
Pulmonary Tuberculosis IV01:26

Pulmonary Tuberculosis IV

Tuberculosis, more commonly referred to as TB, is an infectious disease stemming from Mycobacterium tuberculosis. While it primarily impacts the lungs, TB can also affect other body areas. Given its severity and global impact, timely and accurate diagnosis is crucial for controlling its spread and improving patient outcomes.
Several diagnostic approaches are used to detect TB. The conventional method is the Tuberculin Skin Test (TST), also known as the Mantoux test. However, this method has...

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Related Experiment Video

Updated: Jun 17, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

A tuberculosis model with seasonality.

Luju Liu1, Xiao-Qiang Zhao, Yicang Zhou

  • 1Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, China. lujuliu@gmail.com

Bulletin of Mathematical Biology
|January 12, 2010
PubMed
Summary

This study models tuberculosis (TB) seasonality, finding that a basic reproduction ratio (R(0)) greater than 1 indicates persistent disease. Numerical simulations align with China's TB case data, suggesting a stable seasonal pattern.

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Public Health

Background:

  • Tuberculosis (TB) incidence exhibits seasonal patterns globally.
  • Understanding these fluctuations is crucial for effective disease control.
  • Previous models may not fully capture seasonal dynamics.

Purpose of the Study:

  • To develop and analyze a mathematical model for tuberculosis transmission incorporating seasonality.
  • To investigate the impact of seasonality on disease persistence and stability.
  • To estimate model parameters using Chinese epidemiological data.

Main Methods:

  • Development of a compartmental tuberculosis model with seasonal forcing.
  • Analysis of the model's equilibria and stability conditions based on the basic reproduction ratio (R(0)).

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  • Parameter estimation using demographic and epidemiological data from China.

    • Main Results:

    • The disease-free equilibrium is globally asymptotically stable when R(0) < 1, leading to disease disappearance.
    • When R(0) > 1, the model predicts uniform persistence with at least one positive periodic solution.
    • Numerical simulations suggest a unique, globally asymptotically stable positive periodic solution when R(0) > 1.
    • Model simulations closely match the observed seasonal variations in reported active TB cases in China.

    Conclusions:

    • Seasonal factors significantly influence tuberculosis dynamics.
    • The basic reproduction ratio (R(0)) is a critical determinant of TB persistence and seasonal patterns.
    • The developed model provides a good fit to empirical data, aiding in understanding and predicting TB seasonality in China.