Numerical schemes for solving and optimizing multiscale models with age of hepatitis C virus dynamics

DOI10.1016/J.MBS.2018.03.011zbMath1392.92050OpenAlexW2791840966WikidataQ54254238 ScholiaQ54254238MaRDI QIDQ1644647

Harel Dahari, Vladimir Reinharz, Danny Barash

Publication date: 22 June 2018

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc5992100

zbMATH Keywords

numerical solutionpartial differential equationsmultiscale modelage-structured modeladaptive stepsize integrationhepatitis C virus

Mathematics Subject Classification ID

Medical applications (general) (92C50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Medical epidemiology (92C60)

Related Items (3)

Mathematical analysis of a transformed ODE from a PDE multiscale model of hepatitis C virus infection ⋮ A parameter estimation method for multiscale models of hepatitis C virus dynamics ⋮ Machine learning for mathematical models of HCV kinetics during antiviral therapy

Uses Software

• ODEPACK

Cites Work

• Unnamed Item
• A family of embedded Runge-Kutta formulae
• Order conditions for Rosenbrock type methods
• Mathematical modeling of viral kinetics under immune control during primary HIV-1 infection
• Understanding hepatitis C viral dynamics with direct-acting antiviral agents due to the interplay between intracellular replication and cellular infection dynamics
• Nonlinear diffusion filtering on extended neighborhood
• Mathematical analysis of multiscale models for hepatitis C virus dynamics under therapy with direct-acting antiviral agents
• Some general implicit processes for the numerical solution of differential equations
• A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides

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