HCV MultiscaleDyn: A simulator for the multiscale model of hepatitis C virus dynamics

Alexander Churkin, Vladimir Reinharz, Harel Dahari, Danny Barash

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Multiscale mathematical models that incorporate both intracellular and extracellular hepatitis C virus (HCV) dynamics have been developed in recent years to study HCV-host dynamics and antivirals mode of action and efficacy. They were built upon the standard HCV dynamic model that keeps track of uninfected hepatocytes, HCV-infected hepatocytes, and free virus in blood (for each there is a differential equation), along with a fourth equation that considers the intracellular viral RNA (vRNA) dynamics in an infected cell. A multiscale model with vRNA dynamics consideration is substantially more difficult to solve and the governing differential equations are stiff. In one of the derived differential equations there is also an integral involving the vRNA that is more accurately computed by considering previous iterations, impeding the use of canned solvers. To solve this problem we have chosen to implement a stable and efficient numerical method that belongs to the family of adaptive stepsize methods and is implicit, the Rosenbrock method. We provide a user friendly simulator called HCVMultiscaleDyn with a Graphical User Interface that applies this method and is useful to simulate viral dynamics during antiviral treatment.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
EditorsCharalambos Tsitouras, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos, Theodore Simos
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735416901
DOIs
StatePublished - 10 Jul 2018
EventInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017 - Thessaloniki, Greece
Duration: 25 Sep 201730 Sep 2017

Publication series

NameAIP Conference Proceedings
Volume1978
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017
Country/TerritoryGreece
CityThessaloniki
Period25/09/1730/09/17

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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