Abstract
Microneedle systems are used for transdermal (hypodermic) medicine injections at the treatment of different diseases. The efficiency of using such systems depends significantly on the size and parameters of microneedles. The problem of determining such dependencies and optimal parameters is considered as the problem of optimizing the interaction of microneedle systems with an elastic surface. Minimization problems for integral functional, whose solutions are approximations for solutions to the interaction problem, are obtained by the homogenization theory methods. Such problems are formulated in the form of classical problems with obstacles .
Highlights
Numerous publications confirm the high efficiency of the microneedle system applications for transdermal medicine injections at the treatment of various diseases [1, 2, 3]
Systems with sufficiently thick microneedles can cause injuries to the skin during injection, which leads to the problem of determining the optimal parameters of microneedles. This problem will be considered here on the basis of a model of the elastic interaction of the microneedle system with the surface and the calculation of the parameters will be be performed by approximating the solutions of minimization problems for integral functionals
Gennadiy Sandrakov Approximations for the optimization problem for medical microneedle systems case minimization problem considered more accurately models the microneedle systems made in the form of a patch
Summary
Numerous publications confirm the high efficiency of the microneedle system applications for transdermal (subcutaneous) medicine injections at the treatment of various diseases [1, 2, 3]. Microneedle systems provide a new method of drug delivery There are few such methods and these have long been known as pills, potions and injections. Systems with sufficiently thick microneedles can cause injuries to the skin during injection, which leads to the problem of determining the optimal parameters of microneedles. This problem will be considered here on the basis of a model of the elastic interaction of the microneedle system with the surface (which corresponds to the area of the skin) and the calculation of the parameters will be be performed by approximating the solutions of minimization problems for integral functionals. Gennadiy Sandrakov Approximations for the optimization problem for medical microneedle systems case minimization problem considered more accurately models the microneedle systems made in the form of a patch
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