FatehiChenar2018 - Mathematical model of immune response to hepatitis B

  public model
Model Identifier
BIOMD0000000848
Short description
This is a mathematical model describing the dynamics of the immune response to hepatitis B, which takes into account contributions form innate and adaptive immune responses, as well as cytokines.
Format
SBML (L2V4)
Related Publication
  • Mathematical model of immune response to hepatitis B.
  • Fatehi Chenar F, Kyrychko YN, Blyuss KB
  • Journal of theoretical biology , 6/ 2018 , Volume 447 , pages: 98-110 , PubMed ID: 29574141
  • Department of Mathematics, University of Sussex, Brighton BN1 9QH, UK.
  • A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as well as cytokines. Stability analysis of different steady states is performed to identify parameter regions where the model exhibits clearance of infection, maintenance of a chronic infection, or periodic oscillations. Effects of nucleoside analogues and interferon treatments are analysed, and the critical drug efficiency is determined.
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 MODEL1911110001
BioModels Database BIOMD0000000848

isDescribedBy (1 statement)
PubMed 29574141

hasProperty (3 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Gene Ontology immune response
NCIt Hepatitis B Infection

isDerivedFrom (3 statements)

Curation status
Curated

Tags

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Model files

FatehiChenar2018.xml SBML L2V4 Representation of FatehiChenar2018 - Mathematical model of immune response to hepatitis B 83.60 KB Preview | Download

Additional files

FatehiChenar2018.cps COPASI file of FatehiChenar2018 - Mathematical model of immune response to hepatitis B 125.52 KB Preview | Download
FatehiChenar2018.sedml SED-ML file of FatehiChenar2018 - Mathematical model of immune response to hepatitis B 6.05 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Nov 11, 2019 12:08:46 AM
  • Last Modified: Oct 5, 2021 7:58:23 PM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Oct 5, 2021 7:58:23 PM
    • Submitted by: Rahuman Sheriff
    • With comment: Automatically added model identifier BIOMD0000000848
  • Version: 2 public model Download this version
    • Submitted on: Nov 11, 2019 12:08:46 AM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000848

(*) 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
F 2

PR:000024990
0.0 mmol
V

C14215
0.4 mmol
A

C62795
0.1 mmol
R

hepatocyte ; C38014
0.0 mmol
N

natural killer cell
0.1 mmol
I

C14215 ; infected cell
0.0 mmol
F 1

PR:000025848
0.0 mmol
Reactions
Reactions Rate Parameters
F_2 => compartment*delta_2*F_2 delta_2 = 5.16
=> V; I, F_1, F_2 compartment*I*p/(1+s_3*F_1+s_4*F_2) p = 20.0; s_3 = 1.7; s_4 = 1.0
=> A; V compartment*q*V q = 5.0
=> F_2; E compartment*p_2*E p_2 = 0.5
R => T compartment*rho*R rho = 5.0
=> N; F_1, F_2 compartment*(q_1*F_1+q_2*F_2)*N q_1 = 0.8; q_2 = 0.6
I => R; F_2 compartment*psi_2*I*F_2 psi_2 = 21.0
T => I; V compartment*beta*V*T beta = 7.0
=> F_1; I compartment*p_1*I p_1 = 1.0
V => compartment*c*V c = 0.67
Curator's comment:
(added: 11 Nov 2019, 00:08:27, updated: 11 Nov 2019, 00:08:27)
Reproduced plots of those presented in Figure 6 of the original publication. Model simulated and data obtained using COPASI 4.24 (Build 197), plots produced using Wolfram Mathematica 11.3.