Time-varying pharmacodynamics in a simple non-integer HIV infection model

DOI10.1016/j.mbs.2018.11.001zbMath1409.92150OpenAlexW2899445923WikidataQ58614522 ScholiaQ58614522MaRDI QIDQ669134

João N. Tavares, Carla M. A. Pinto, Ana R. M. Carvalho

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.11.001

zbMATH Keywords

HIVpharmacodynamicsfractional modeltime-varying drug efficacy

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Fractional derivatives and integrals (26A33) Medical epidemiology (92C60)

Related Items (9)

The Chebyshev wavelet method (CWM) for the numerical solution of fractional HIV infection of CD\(4^+\) T cells model ⋮ A Caputo-Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment ⋮ New insights into pharmacologic inhibition of pyroptotic cell death by necrosulfonamide: a PDE model ⋮ Time periodic reaction-diffusion equations for modeling 2-LTR dynamics in HIV-infected patients ⋮ Spatial-temporal dynamics of a novel PDE model: applications to pharmacologic inhibition of pyroptosis by necrosulfonamide ⋮ Brownian motion on Cantor sets ⋮ A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator ⋮ A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to a HIV model ⋮ Role of the immune system in AIDS-defining malignancies

Cites Work

• Unnamed Item
• Distinct effects of protease and reverse transcriptase inhibition in an immunological model of HIV-1 infection with impulsive drug effects
• Fractal pharmacokinetics
• Generalized Taylor's formula
• Global existence theory and chaos control of fractional differential equations
• Threshold dynamics for compartmental epidemic models in periodic environments
• Chaotic attractors in incommensurate fractional order systems
• Modeling long-term longitudinal HIV dynamics with application to an AIDS clinical study
• Modeling HIV dynamics and antiviral response with consideration of time-varying drug exposures, adherence and phenotypic sensitivity
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• A memory-based model for blood viscosity
• Emergence of drug-resistance in HIV dynamics under distinct HAART regimes
• Non-integer order analysis of the impact of diabetes and resistant strains in a model for TB infection
• Emergence of HIV-1 drug resistance during antiretroviral treatment
• Periodic multidrug therapy in a within-host virus model
• A fractional dynamical model for honeybee colony population
• Modeling Pharmacodynamics on HIV Latent Infection: Choice of Drugs is Key to Successful Cure via Early Therapy

This page was built for publication: Time-varying pharmacodynamics in a simple non-integer HIV infection model