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

Immune networks modeled by replicator equations

P F Stadler1, P Schuster, A S Perelson

  • 1Institut für Theoretische Chemie, Universität Wien, Austria.

Journal of Mathematical Biology
|January 1, 1994
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

Efficacy of a Mouthwash Containing CHX and CPC in SARS-CoV-2-Positive Patients: A Randomized Controlled Clinical Trial.

Journal of dental research·2023
Same author

Durable memories and efficient neural coding through mnemonic training using the method of loci.

Science advances·2021
Same author

Adherence to oral anticoagulant treatment and risk factor assessment six months after DC-conversion of atrial fibrillation.

Scandinavian cardiovascular journal : SCJ·2020
Same author

Static patella tilt and axial engagement in knee extension are mainly influenced by knee torsion, the tibial tubercle-trochlear groove distance (TTTG), and trochlear dysplasia but not by femoral or tibial torsion.

Knee surgery, sports traumatology, arthroscopy : official journal of the ESSKA·2019
Same author

Tracing the evolution of the heterotrimeric G protein α subunit in Metazoa.

BMC evolutionary biology·2018
Same author

Hepatitis C virus dynamics and cellular gene expression in uPA-SCID chimeric mice with humanized livers during intravenous silibinin monotherapy.

Journal of viral hepatitis·2016
Same journal

A perception-memory PDE framework for seasonal migration dynamics.

Journal of mathematical biology·2026
Same journal

Dynamic resource allocation in eukaryotic Resource Balance Analysis.

Journal of mathematical biology·2026
Same journal

Discrete-time exploitative competition model of different stage-specific predators.

Journal of mathematical biology·2026
Same journal

Spatiotemporal SEIQR Epidemic Modeling with Optimal Control for Vaccination, Treatment, and Social Measures.

Journal of mathematical biology·2026
Same journal

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.

Journal of mathematical biology·2026
Same journal

Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.

Journal of mathematical biology·2026
See all related articles

Mathematical models reveal how B-cell proliferation in immune networks resembles replicator dynamics. This simplifies analyzing immune system equilibria by reducing complex nonlinear equations to linear ones.

Area of Science:

  • Immunology
  • Mathematical Biology
  • Computational Science

Background:

  • Idiotypic networks play a crucial role in immune system regulation.
  • Mathematical modeling is essential for understanding complex biological systems like the immune network.

Purpose of the Study:

  • To evaluate the role of idiotypic networks in immune system operation.
  • To analyze B-cell models with a specific response function and their network dynamics.

Main Methods:

  • Formulation of mathematical models for B-cell proliferation governed by a response function f(h).
  • Transformation of B-cell network equations into a form resembling the replicator equation.
  • Analysis of network dynamics using methods for second-order replicator equations.

Related Experiment Videos

Main Results:

  • B-cell network equations, under conserved clone numbers, exhibit dynamics similar to the replicator equation.
  • Equilibria and stability of the immune network can be determined by superposition of second-order replicator systems.
  • Finding equilibrium points of nonlinear network equations is simplified to solving linear equations.

Conclusions:

  • The study provides a simplified mathematical framework for understanding immune network behavior.
  • The findings reduce the complexity of analyzing immune system equilibria, offering new insights into network function.