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Effect of DAA therapy in hepatitis C treatment - an impulsive control approach

Amar Nath Chatterjee1, Fahad Al Basir2, Yasuhiro Takeuchi3

  • 1Department of Mathematics, K.L.S. College, Nawada, Magadh University, Bodh Gaya, India.

Mathematical Biosciences and Engineering : MBE
|March 24, 2021
PubMed

Insights

This study models hepatitis C virus (HCV) dynamics and introduces impulsive periodic therapy with direct-acting antivirals (DAA). The research identifies a threshold for disease control and optimizes DAA dosing for cost-effective HCV management.

Area of Science:

  • Mathematical modeling
  • Virology
  • Pharmacodynamics

Background:

  • Hepatitis C virus (HCV) infection poses a significant global health challenge.
  • Understanding HCV disease dynamics is crucial for developing effective control strategies.

Purpose of the Study:

  • To develop a mathematical model simulating HCV infection dynamics.
  • To analyze the impact of impulsive periodic therapy using direct-acting antivirals (DAA) on HCV control.
  • To determine optimal dosing strategies for cost-effective HCV management.

Main Methods:

  • A mathematical model incorporating uninfected liver cells, infected liver cells, and HCV was formulated.
  • Analysis of model equilibria, including disease-free and endemic states.
  • Introduction and evaluation of impulsive periodic DAA therapy.

Main Results:

  • The model identified a basic reproduction number determining disease-free equilibrium stability and endemic states.
  • Impulsive periodic DAA therapy demonstrated efficacy in controlling HCV infection.
  • Varied dosing rates and intervals were explored for cost-effective disease control.

Conclusions:

  • Mathematical modeling provides insights into HCV dynamics and therapeutic interventions.
  • Impulsive periodic DAA therapy offers a promising approach for HCV management.
  • Optimized dosing regimens are essential for efficient and economical HCV control.

Keywords:
DAA therapybasic reproduction numberdrug adherencehepatitis Cimpulsive controlmathematical model

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