A mathematical model for NIR light protocol optimization in controlled transdermal drug delivery

DOI10.1016/j.apm.2022.07.014zbMath1505.92085OpenAlexW4286268191MaRDI QIDQ2110743

H. P. Gómez, L. Pinto, José Augusto Ferreira

Publication date: 23 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2022.07.014

zbMATH Keywords

optimizationconvergence analysisnumerical simulationcontrolled drug deliveryNIR lighttransdermal

Mathematics Subject Classification ID

Numerical methods based on nonlinear programming (49M37) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Discrete approximations in optimal control (49M25) PDE constrained optimization (numerical aspects) (49M41)

Cites Work

• Drug delivery enhanced by ultrasound: mathematical modeling and simulation
• Mathematical modeling of the receptor-mediated endocytosis process of targeted therapeutic agents in drug delivery systems
• Segmental aqueous humour outflow and eye orientation have strong influence on ocular drug delivery
• A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
• Aging Effect on Iontophoretic Transdermal Drug Delivery
• A Simplex Method for Function Minimization
• Analysis of adaptive BDF2 scheme for diffusion equations

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