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 Experiment Videos

HIV treatment models with time delay.

Mostafa Bachar1, Anita Dorfmayr

  • 1Institute for Mathematics, University of Graz, Heinrichstrasse 36, 8010 Graz, Austria. mostafa.bachar@uni-graz.at

Comptes Rendus Biologies
|January 5, 2005
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

A mathematical model for the spread of COVID-19 and control mechanisms in Saudi Arabia.

Advances in difference equations·2021
Same author

Impulsive mathematical modeling of ascorbic acid metabolism in healthy subjects.

Journal of theoretical biology·2016
Same author

Metabolic effects of dialyzate glucose in chronic hemodialysis: results from a prospective, randomized crossover trial.

Nephrology, dialysis, transplantation : official publication of the European Dialysis and Transplant Association - European Renal Association·2011
Same author

Modeling the cardiovascular-respiratory control system: data, model analysis, and parameter estimation.

Acta biotheoretica·2010
Same author

Patterns of cardiovascular control during repeated tests of orthostatic loading.

Cardiovascular engineering (Dordrecht, Netherlands)·2009
Same author

Receding horizon controller for the baroreceptor loop in a model for the cardiovascular system.

Cardiovascular engineering (Dordrecht, Netherlands)·2007
Same journal

Integrating intraspecific trait variation and spatiotemporal variability of selection as levers of action in forest management.

Comptes rendus biologies·2026
Same journal

[Managing mixed forest stands : bridging the gap between silviculture and ecological theory].

Comptes rendus biologies·2026
Same journal

[Which forests for which biodiversity under climate change?]

Comptes rendus biologies·2026
Same journal

[Impacts of climate change on the functioning and productivity of agroecosystems: a focus on the impact of interactions between CO<sub>2</sub>, temperature and water deficit].

Comptes rendus biologies·2026
Same journal

Autogenic transitions in individuality.

Comptes rendus biologies·2026
Same journal

Assessing the potential effects of climate change on future forest composition in France.

Comptes rendus biologies·2026
See all related articles

Antiretroviral treatment can impact human immunodeficiency virus (HIV) spread dynamics. Introducing time delays in models reveals how treatment timing affects disease transmission and population-level outcomes.

Area of Science:

  • Mathematical modeling
  • Epidemiology
  • Public Health

Background:

  • Human immunodeficiency virus (HIV) remains a significant global health challenge.
  • Antiretroviral therapy (ART) is crucial for managing HIV infection and reducing transmission.
  • Understanding the population-level impact of ART timing is essential for effective control strategies.

Purpose of the Study:

  • To investigate the effects of antiretroviral treatment on HIV spread dynamics in a population.
  • To model the influence of treatment initiation delays and latency periods on disease transmission.
  • To analyze the stability and bifurcation behavior of a delay differential equation model for HIV spread.

Main Methods:

  • Development of a delay differential equation model incorporating latency and treatment delay.

Related Experiment Videos

  • Analysis of Hopf bifurcation and stability of the model.
  • Simulations of various scenarios based on the duration of treatment-induced delay.

    • Main Results:

    • The timing of antiretroviral treatment significantly influences the dynamics of HIV spread.
    • Model simulations demonstrate distinct disease progression patterns based on treatment delay.
    • Stability analysis reveals critical thresholds for treatment effectiveness.

    Conclusions:

    • Antiretroviral treatment can alter HIV transmission dynamics, with timing being a critical factor.
    • Delay differential equations provide a valuable framework for understanding treatment effects in infectious disease modeling.
    • Optimizing ART initiation timing is crucial for maximizing public health benefits and controlling HIV spread.