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

Frontiers in Applied Mathematics and Statistics

Barash, Danny¹  Reinharz, Vladimir¹  Churkin, Alexander²  Dahari, Harel³ 

[1] Department of Computer Science, Ben-Gurion University of the Negev, Israel;Department of Software Engineering, Sami Shamoon College of Engineering, Israel;Program for Experimental and Theoretical Modeling, Division of Hepatology, Department of Medicine, Loyola University Medical Center, United States

关键词: Hepatitis C virus;    Multiscale model;    Age-structured model;    RNA-mediated viral dynamics;    Partial Differential Equations;    numerical solution;    Rosenbrock method;   

DOI  :  10.3389/fams.2017.00020

学科分类：数学（综合）

来源: Frontiers

【 摘 要 】

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.

【 授权许可】

CC BY