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

Vladimir Reinharz; Alexander Churkin; Harel Dahari; Danny Barash

doi:10.3389/fams.2017.00020

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

Vladimir Reinharz
, Alexander Churkin
, Harel Dahari
, Danny Barash

Research output: Contribution to journal › Article › peer-review

7 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 language	English
Article number	20
Journal	Frontiers in Applied Mathematics and Statistics
Volume	3
DOIs	https://doi.org/10.3389/fams.2017.00020
State	Published - 31 Oct 2017

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

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

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

Access to Document

10.3389/fams.2017.00020

Cite this

@article{eb776358cf7b41ca905f7add74622c1e,

title = "A Robust and Efficient Numerical Method for RNA-Mediated Viral Dynamics",

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.",

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

author = "Vladimir Reinharz and Alexander Churkin and Harel Dahari and Danny Barash",

note = "Publisher Copyright: {\textcopyright} Copyright {\textcopyright} 2017 Reinharz, Churkin, Dahari and Barash.",

year = "2017",

month = oct,

day = "31",

doi = "10.3389/fams.2017.00020",

language = "English",

volume = "3",

journal = "Frontiers in Applied Mathematics and Statistics",

issn = "2297-4687",

publisher = "Frontiers Media SA",

}

TY - JOUR

T1 - A Robust and Efficient Numerical Method for RNA-Mediated Viral Dynamics

AU - Reinharz, Vladimir

AU - Churkin, Alexander

AU - Dahari, Harel

AU - Barash, Danny

PY - 2017/10/31

Y1 - 2017/10/31

N2 - 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.

AB - 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.

KW - RNA-mediated viral dynamics

KW - Rosenbrock method

KW - age-structured model

KW - hepatitis C virus

KW - multiscale model

KW - numerical solution

KW - partial differential equations

UR - https://www.scopus.com/pages/publications/85044138255

U2 - 10.3389/fams.2017.00020

DO - 10.3389/fams.2017.00020

M3 - Article

AN - SCOPUS:85044138255

SN - 2297-4687

VL - 3

JO - Frontiers in Applied Mathematics and Statistics

JF - Frontiers in Applied Mathematics and Statistics

M1 - 20

ER -

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

Abstract

UN SDGs

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this