Aavani2019 - The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection

  public model
Model Identifier
BIOMD0000000876
Short description 
This is a mathematical model comprised of a simple system of four ordinary differential equations that account for the two opposing roles of infected and healthy cytotoxic T lymphocytes within the context of HIV infection, with each type responsible for the production of virus and the activation and stimulation of immune responses, respectively.
Format
SBML (L2V4)
Related Publication
  • The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection
  • Aavani, P., Allen, L.J.S.
  • Applied Mathematical Modelling , 11/ 2019 , Volume 75 , pages: 210-222 , DOI: 10.1016/j.apm.2019.05.028
  • Department of Biological Sciences, Texas Tech University, 2901 Main St., Lubbock, TX 79409, United States
  • CD4 T cells play a fundamental role in the adaptive immune response including the stimulation of cytotoxic lymphocytes (CTLs). Human immunodeficiency virus (HIV) which infects and kills CD4 T cells causes progressive failure of the immune system. However, HIV particles are also reproduced by the infected CD4 T cells. Therefore, during HIV infection, infected and healthy CD4 T cells act in opposition to each other, reproducing virus particles and activating and stimulating cellular immune responses, respectively. In this investigation, we develop and analyze a simple system of four ordinary differential equations that accounts for these two opposing roles of CD4 T cells. The model illustrates the importance of the CTL immune response during the asymptomatic stage of HIV infection. In addition, the solution behavior exhibits the two stages of infection, asymptomatic and final AIDS stages. In the model, a weak immune response results in a short asymptomatic stage and faster development of AIDS, whereas a strong immune response illustrates the long asymptomatic stage. A model with a latent stage for infected CD4 T cells is also investigated and compared numerically with the original model. The model shows that strong stimulation of CTLs by CD4 T cells is necessary to prevent progression to the AIDS stage.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Rahuman Sheriff
Modellers: Rahuman Sheriff, Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000876
BioModels Database MODEL1911270003

isDerivedFrom (1 statement)
PubMed 10588728

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (4 statements)
isDescribedBy (1 statement)
Curation status
Curated
Tags

Connected external resources

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Name Description Size Actions

Model files
Aavani2019.xml SBML L2V4 Representation of Aavani2019 - The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection 39.11 KB Preview | Download

Additional files
Aavani2019.cps COPASI file of Aavani2019 - The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection 72.01 KB Preview | Download
Aavani2019.sedml SED-ML file of Aavani2019 - The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection 3.46 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Nov 27, 2019 3:21:18 PM
  • Last Modified: Oct 5, 2021 8:02:50 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Oct 5, 2021 8:02:50 PM
    • Submitted by: Rahuman Sheriff
    • With comment: Automatically added model identifier BIOMD0000000876
  • Version: 2 public model Download this version
    • Submitted on: Nov 27, 2019 3:24:14 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000876
  • Version: 1 public model Download this version
    • Submitted on: Nov 27, 2019 3:21:18 PM
    • Submitted by: Johannes Meyer
    • With comment: Import of Aavani2019 - The role of CD4 T cells in immune system activation and viral reproduction in a simple model for HIV infection

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
I Infected CD4

CD4-Positive T-Lymphocyte ; infected cell 		1.0 item
F CTL

cytotoxic T cell 		1.0 item
C Uninfected CD4

CD4-Positive T-Lymphocyte ; EFO:0001460 		1000.0 item
V Virus

Human Immunodeficiency Virus 		200.0 item
Reactions
Reactions Rate Parameters
C_Uninfected_CD4 => I_Infected_CD4; V_Virus compartment*beta*C_Uninfected_CD4*V_Virus beta = 5.75E-5
=> F_CTL; C_Uninfected_CD4, V_Virus compartment*e*C_Uninfected_CD4*V_Virus*F_CTL/(C_ast+F_CTL) e = 0.001; C_ast = 1000.0
=> C_Uninfected_CD4 compartment*lambda*C_ast lambda = 0.01; C_ast = 1000.0
I_Infected_CD4 => compartment*a*I_Infected_CD4 a = 1.0
F_CTL => compartment*b*F_CTL b = 0.1
I_Infected_CD4 => ; F_CTL compartment*rho*F_CTL*I_Infected_CD4 rho = 1.0
V_Virus => compartment*k*V_Virus k = 23.0
C_Uninfected_CD4 => compartment*lambda*C_Uninfected_CD4 lambda = 0.01
=> V_Virus; I_Infected_CD4 compartment*a*N*I_Infected_CD4 a = 1.0; N = 2000.0
Curator's comment:
(added: 27 Nov 2019, 15:23:52, updated: 27 Nov 2019, 15:23:52)
Reproduced plot of Figure 1 in the original publication. Model simulated using COPASI 4.24 (Build 197), plots produced using Wolfram Mathematica 11.3.