FatehiChenar2018 - Mathematical model of immune response to hepatitis B

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
Submitter of this revision: Rahuman Sheriff
Modellers: Rahuman Sheriff, Johannes Meyer
Metadata information
is (2 statements)
isDescribedBy (1 statement)
hasProperty (3 statements)
isDerivedFrom (3 statements)
isDescribedBy (1 statement)
hasProperty (3 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Gene Ontology immune response
NCIt Hepatitis B Infection
Gene Ontology immune response
NCIt Hepatitis B Infection
isDerivedFrom (3 statements)
Curation status
Curated
Tags
Connected external resources
Name | Description | Size | Actions |
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Model files |
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FatehiChenar2018.xml | SBML L2V4 Representation of FatehiChenar2018 - Mathematical model of immune response to hepatitis B | 83.60 KB | Preview | Download |
Additional files |
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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
- Submitted on: Oct 5, 2021 7:58:23 PM
- Submitted by: Rahuman Sheriff
- With comment: Automatically added model identifier BIOMD0000000848
-
Version: 2
- Submitted on: Nov 11, 2019 12:08:46 AM
- Submitted by: Johannes Meyer
- With comment: Automatically added model identifier BIOMD0000000848
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revisions as only public revisions are displayed here. Any private revisions
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Legends
: Variable used inside SBML models
: 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)
(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.