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

Vladimir Reinharz; Alexander Churkin; Harel Dahari; Danny Barash

doi:https://doi.org/10.3389/fams.2017.00020

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

Vladimir Reinharz, Alexander Churkin, Harel Dahari, Danny Barash

Department of Computer Science

Ben-Gurion University of the Negev

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

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	American 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

Keywords

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

All Science Journal Classification (ASJC) codes

Statistics and Probability
Applied Mathematics

UN SDGs

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

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https://doi.org/10.3389/fams.2017.00020

Cite this

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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.",

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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

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VL - 3

JO - Frontiers in Applied Mathematics and Statistics

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M1 - 20

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

UN SDGs

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