A Robust and Efficient Numerical Method for RNA-Mediated Viral Dynamics

Vladimir Reinharz, Alexander Churkin, Harel Dahari, Danny Barash

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The multiscale model of hepatitis C virus (HCV) dynamics, which includes intracellular viral RNA (vRNA) replication, has been formulated in recent years in order to provide a new conceptual framework for understanding the mechanism of action of a variety of agents for the treatment of HCV. We present a robust and efficient numerical method that belongs to the family of adaptive stepsize methods and is implicit, a Rosenbrock type method that is highly suited to solve this problem. We provide a Graphical User Interface that applies this method and is useful for simulating viral dynamics during treatment with anti-HCV agents that act against HCV on the molecular level.

Original languageEnglish
Article number20
JournalFrontiers in Applied Mathematics and Statistics
Volume3
DOIs
StatePublished - 31 Oct 2017

Keywords

  • RNA-mediated viral dynamics
  • Rosenbrock method
  • age-structured model
  • hepatitis C virus
  • multiscale model
  • numerical solution
  • partial differential equations

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