Aston2018 - Dynamics of Hepatitis C Infection

Model Identifier
BIOMD0000000713
Short description
Format
SBML
(L2V4)
Related Publication
-
A New Model for the Dynamics of Hepatitis C Infection: Derivation, Analysis and Implications.
- Aston PJ
- Viruses , 4/ 2018 , Volume 10 , Issue 4 , PubMed ID: 29652855
- Department of Mathematics, University of Surrey, Guildford, Surrey GU2 7XH, UK. P.Aston@surrey.ac.uk.
- We review various existing models of hepatitis C virus (HCV) infection and show that there are inconsistencies between the models and known behaviour of the infection. A new model for HCV infection is proposed, based on various dynamical processes that occur during the infection that are described in the literature. This new model is analysed, and three steady state branches of solutions are found when there is no stem cell generation of hepatocytes. Unusually, the branch of infected solutions that connects the uninfected branch and the pure infection branch can be found analytically and always includes a limit point, subject to a few conditions on the parameters. When the action of stem cells is included, the bifurcation between the pure infection and infected branches unfolds, leaving a single branch of infected solutions. It is shown that this model can generate various viral load profiles that have been described in the literature, which is confirmed by fitting the model to four viral load datasets. Suggestions for possible changes in treatment are made based on the model.
Contributors
Submitter of the first revision: Sarubini Kananathan
Submitter of this revision: Sarubini Kananathan
Modellers: Sarubini Kananathan
Submitter of this revision: Sarubini Kananathan
Modellers: Sarubini Kananathan
Metadata information
is (3 statements)
isDescribedBy (1 statement)
hasTaxon (2 statements)
hasProperty (2 statements)
BioModels Database
MODEL1808280002
BioModels Database MODEL1808280002
BioModels Database BIOMD0000000713
BioModels Database MODEL1808280002
BioModels Database BIOMD0000000713
isDescribedBy (1 statement)
hasTaxon (2 statements)
hasProperty (2 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Experimental Factor Ontology hepatitis C infection
Experimental Factor Ontology hepatitis C infection
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
Name | Description | Size | Actions |
---|---|---|---|
Model files |
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PVR.xml | SBML L2V4 representation of Aston2018 - Dynamics of Hepatitis C Infection | 36.00 KB | Preview | Download |
Additional files |
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Breakthrough.cps | Copasi file for Breakthrough | 62.41 KB | Preview | Download |
NullResponse.cps | Copasi file for Null Response | 62.29 KB | Preview | Download |
PVR.cps | Copasi file for PVR | 62.18 KB | Preview | Download |
Triphasic.cps | Copasi file for Triphasic | 62.21 KB | Preview | Download |
- Model originally submitted by : Sarubini Kananathan
- Submitted: Sep 6, 2018 3:20:58 PM
- Last Modified: Oct 16, 2018 3:47:24 PM
Revisions
-
Version: 8
- Submitted on: Oct 16, 2018 3:47:24 PM
- Submitted by: Sarubini Kananathan
- With comment: Automatically added model identifier BIOMD0000000713
-
Version: 5
- Submitted on: Sep 6, 2018 3:20:58 PM
- Submitted by: Sarubini Kananathan
- With comment: Model revised without commit message
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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 |
---|---|
T hepatocyte |
3.3246 mol |
I infected cell ; hepatocyte |
417520.0 mol |
V Hepacivirus C |
4450000.0 mol |
Reactions
Reactions | Rate | Parameters |
---|---|---|
T + V => I | compartment*beta*T*V | beta = 8.3376E-9 |
=> T; I | compartment*r_T_Tmax*T/(T+I) | r_T_Tmax = 10645.0 |
I => | compartment*1/(1+R)*r_T_d*I | R = 30.078; r_T_d = 0.0019927 |
T => | compartment*r_T_d*T | r_T_d = 0.0019927 |
V => | compartment*c*V | c = 17.908 |
=> I; T | compartment*1/(1+R)*r_T_Tmax*I/(T+I) | R = 30.078; r_T_Tmax = 10645.0 |
=> V; I | compartment*pstar*I | pstar = 203.96 |
Curator's comment:
(added: 16 Oct 2018, 15:44:17, updated: 16 Oct 2018, 15:44:17)
(added: 16 Oct 2018, 15:44:17, updated: 16 Oct 2018, 15:44:17)
Figure 12 of the reference publication has been reproduced. The model file and figure attached is for the partial virologic response (PVR) of the viral load. Initial conditions were taken from the publication. The model was simulated using Copasi 4.22 and the figure was generated using Python 2.7.