Sandip2013 - Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin.

  public model
Model Identifier
BIOMD0000000892
Short description 
Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin.
Banerjee S1, Keval R, Gakkhar S.

Author information

1
    Department of Mathematics, Indian Institute of Technology Roorkee (IITR), Roorkee 247667, Uttaranchal, India. Electronic address: sandofma@iitr.ernet.in.

Abstract

A mathematical modeling of hepatitis C virus (HCV) dynamics and antiviral therapy has been presented in this paper. The proposed model, which involves four coupled ordinary differential equations, describes the interaction of target cells (hepatocytes), infected cells, infectious virions and non-infectious virions. The model takes into consideration the addition of ribavirin to interferon therapy and explains the dynamics regarding a biphasic and triphasic decline of viral load in the model. A critical drug efficacy parameter has been defined and it is shown that for an efficacy above this critical value, HCV is eradicated whereas for efficacy lower this critical value, a new steady state for infectious virions is reached, which is lower than the previous steady state value.

Copyright © 2013 Elsevier Inc. All rights reserved.
KEYWORDS:

Hepatitis C virus (HCV); Infected cells; Infectious virions; Interferon; Noninfectious virions; Ribavirin; Target cells
Format
SBML (L2V4)
Related Publication
  • Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin.
  • Banerjee S, Keval R, Gakkhar S
  • Mathematical biosciences , 10/ 2013 , Volume 245 , Issue 2 , pages: 235-248 , PubMed ID: 23891586
  • Department of Mathematics, Indian Institute of Technology Roorkee (IITR), Roorkee 247667, Uttaranchal, India. Electronic address: sandofma@iitr.ernet.in.
  • A mathematical modeling of hepatitis C virus (HCV) dynamics and antiviral therapy has been presented in this paper. The proposed model, which involves four coupled ordinary differential equations, describes the interaction of target cells (hepatocytes), infected cells, infectious virions and non-infectious virions. The model takes into consideration the addition of ribavirin to interferon therapy and explains the dynamics regarding a biphasic and triphasic decline of viral load in the model. A critical drug efficacy parameter has been defined and it is shown that for an efficacy above this critical value, HCV is eradicated whereas for efficacy lower this critical value, a new steady state for infectious virions is reached, which is lower than the previous steady state value.
Contributors
Submitter of the first revision: Mohammad Umer Sharif Shohan
Submitter of this revision: Mohammad Umer Sharif Shohan
Modellers: Mohammad Umer Sharif Shohan

Metadata information

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (1 statement)
Mathematical Modelling Ontology Ordinary differential equation model

Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags

Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files
Sandip2013.xml SBML L2V4 representation of Sandip2013 - Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin 39.33 KB Preview | Download

Additional files
Sandip2013.cps COPASI version 4.24 (Build 197) Sandip2013 - Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin 73.89 KB Preview | Download
Sandip2013.sedml SEDML L1V2 Sandip2013 - Modeling the dynamics of hepatitis C virus with combined antiviral drug therapy: interferon and ribavirin 3.16 KB Preview | Download

  • Model originally submitted by : Mohammad Umer Sharif Shohan
  • Submitted: Dec 13, 2019 2:51:08 PM
  • Last Modified: Dec 13, 2019 2:51:08 PM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Dec 13, 2019 2:51:08 PM
    • Submitted by: Mohammad Umer Sharif Shohan
    • With comment: Automatically added model identifier BIOMD0000000892
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
VI 1.0E7 mmol
I

hepatocyte 		1000000.0 mmol
T

Neoplastic Cell 		1000000.0 mmol
VNI 1000000.0 mmol
Reactions
Reactions Rate Parameters
=> VI; I compartment*(1-(nr+n1)/2)*beta*I n1 = 0.8; beta = 2.9; nr = 0.0
=> I; VI, T compartment*(1-c*n1)*alpha*VI*T n1 = 0.8; alpha = 2.25E-7; c = 0.5
T => ; VI compartment*(d1*T+(1-c*n1)*alpha*VI*T) n1 = 0.8; alpha = 2.25E-7; d1 = 0.01; c = 0.5
=> VNI; I compartment*(nr+n1)/2*beta*I n1 = 0.8; beta = 2.9; nr = 0.0
=> T compartment*(s+r*T*(1-(T+1)/k)) r = 1.99; s = 1.0; k = 3.6E7
VNI => compartment*d3*VNI d3 = 6.0
I => compartment*d2*I d2 = 1.0
VI => compartment*d3*VI d3 = 6.0
Curator's comment:
(added: 13 Dec 2019, 14:50:59, updated: 13 Dec 2019, 14:50:59)
The model has been encoded in COPASI 4.24 (Build 197) and the figure 3 of the publication has been reproduced using ggplot package in R. The parameters for the intial concentration was provided by author upon contact T(0) = 10^6, I(0) = 10^6, VI(0) = 10^7 AND VNI(0) = 10^6 . Using these values the figures are reproducible.