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: 98110 , 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 

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