首页|Modeling of Configurations Formed when Using Microneedle Systems
Modeling of Configurations Formed when Using Microneedle Systems
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Microneedle systems are compiled by a sufficiently large number of microneedles which are mounted on a flat base and used for drugs injection in modern medicine. Such systems are often made in the form of a patch to which a large number of biosoluble microneedles are attached that significantly simplifies the use of such systems for injecting drugs. As a rule, the patch width is fixed, but the length can be quite long. Therefore, such a patch can be considered as a periodic continuation of the selected fixed fragment. The efficiency of using such systems depends significantly on the size and number of microneedles arranged on such a fragment. The problem of determining such dependences will be considered as the problem of optimizing the interaction of microneedle systems with an elastic surface. Such problems are formulated in the form of classical minimization problems of integral functionals with obstacles supplemented by periodic boundary conditions in one of the coordinates and homogeneous Dirichlet boundary conditions in the other coordinate. The homogenization theory methods are used to obtain homogenized minimization problems for the functionals whose solutions are approximations for solutions of the interaction problem under consideration. The homogenized problems are also formulated in the form of classical minimization problems with an obstacle which have a much simpler form in comparison with the original strongly oscillating obstacles. When obtaining these problems of importance is the fact that the systems considered are formed by a sufficiently large number of microneedles. Conditions are established for the explicit calculation of surface configurations arising from microneedle systems interaction with an elastic surface. Statements justifying the form of such configurations are proved. The condition of "a gap appearance" between the surface and the base of the microneedle system is established and the height of such a "gap" is calculated.
modeling of configurationsmicroneedle systemsoptimization of parametersminimization problemsintegral functionals
NETL
NSTL
