Danny Barash

Senior Academic

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

Vladimir Reinharz, Alexander Churkin, Harel Dahari, Danny Barash

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.

Publication language English
Journal Frontiers in Applied Mathematics and Statistics
Volume 3
Publication status Published - 31.10.2017
20

Keywords

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

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

Sustainable Development Goals

SDG 3 - Good Health and Well-being
Access to Document
10.3389/fams.2017.00020
Other files and links
Link to publication in Scopus