Drug delivery to the anterior segment of the eye enhanced by ultrasound - modeling and simulation

Transcorneal drug delivery has been used to treat eye diseases of both segments of the eye: anterior and posterior segments. Due to the low corneal permeability, this drug administration route has been shown to be very ineffective. Ultrasound has been used to increase the corneal drug transport. In...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2023-08, Vol.144, p.51-61
Main Authors: Azhdari, E., Emami, A., Ferreira, J.A.
Format: Article
Language:English
Subjects:
Drug delivery
Numerical simulation
Partial differential equations
Ultrasound
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Summary:Transcorneal drug delivery has been used to treat eye diseases of both segments of the eye: anterior and posterior segments. Due to the low corneal permeability, this drug administration route has been shown to be very ineffective. Ultrasound has been used to increase the corneal drug transport. In this paper we consider a system of partial differential equations (PDEs) defined by a wave equation to describe the propagation of the pressure wave generated by a transducer, a convection-diffusion-reaction equation for the drug transport in each layer of the cornea - epithelium, stroma and endothelium. The last equations are linked with the acoustic pressure through the diffusion coefficient and the convective velocity. The system of PDEs is completed with convenient interface conditions, initial and boundary conditions. The initial boundary value problem is studied from analytical point of view and the qualitative behavior is numerically illustrated. The results confirm the effectiveness of ultrasound as enhancer of the drug delivery through the cornea.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2023.05.010