Time-delayed model of autoimmune dynamics
From MaRDI portal
Publication:2160858
DOI10.3934/mbe.2019279zbMath1497.92053OpenAlexW2950399888WikidataQ93200717 ScholiaQ93200717MaRDI QIDQ2160858
Farzad Fatehi, Yuliya N. Kyrychko, Konstantin B. Blyuss
Publication date: 3 August 2022
Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mbe.2019279
Qualitative investigation and simulation of models involving functional-differential equations (34K60) Pathology, pathophysiology (92C32)
Related Items (2)
Bifurcations and Multistability in a Model of Cytokine-Mediated Autoimmunity ⋮ Stochastic dynamics in a time-delayed model for autoimmunity
Cites Work
- Unnamed Item
- Towards an integration of mathematical models, theories and observations concerning autoimmune diseases
- Autoimmunity arising from bystander proliferation of T cells in an immune response model
- Analysis of stability and Hopf bifurcation for an HIV infection model with time delay
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Mathematical analysis of delay differential equation models of HIV-1 infection
- A mathematical design of vector vaccine against autoimmune disease
- Analysis of time delay in viral infection model with immune impairment
- Modeling amantadine treatment of influenza A virus in vitro
- Perturbation theory analysis of competition in a heterogeneous population
- Tolerance and immunity in a mathematical model of T-cell mediated suppression
- Dynamics of T cell activation threshold tuning
- Regulatory T cell adjustment of quorum growth thresholds and the control of local immune responses
- Modeling regulation mechanisms in the immune system
- Two effective stability criteria for linear time-delay systems with complex coefficients
- Sensibility of the quorum growth thresholds controlling local immune responses
- Self-tolerance and autoimmunity in a regulatory T cell model
- Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models
- The role of tunable activation thresholds in the dynamics of autoimmunity
- A transcritical bifurcation in an immune response model
- Dynamics of Neural Systems with Discrete and Distributed Time Delays
- Modelling the suppression of autoimmunity after pathogen infection
- Bifurcations and Multistability in a Model of Cytokine-Mediated Autoimmunity
This page was built for publication: Time-delayed model of autoimmune dynamics