МОДЕЛЮВАННЯ ТА ОПТИМІЗАЦІЯ СИСТЕМ МІКРОГОЛОК
A mathematical model and variatinal method of optimal parameter computation for transdermal (hypodermic) drug delivery by microneedle systems are developed. Such systems are formed by a large number of microneedles, which are fixed on plane base, and used for vaccine, protein and insulin injections....
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| Datum: | 2025 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2025
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| Schlagworte: | |
| Online Zugang: | https://jais.net.ua/index.php/files/article/view/650 |
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| Назва журналу: | Problems of Control and Informatics |
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Problems of Control and Informatics| Zusammenfassung: | A mathematical model and variatinal method of optimal parameter computation for transdermal (hypodermic) drug delivery by microneedle systems are developed. Such systems are formed by a large number of microneedles, which are fixed on plane base, and used for vaccine, protein and insulin injections. There are numerous publications that confirm high efficiency of microneedle system applications for transdermal drug injections at treatment of different diseases. Microneedles of such systems, as a rule, are not ordinary medical needles. The microneedles are synthesized from biodegradable polymers that are dissolved with the prescribed speed after transdermal drug injections. Homogenization methods for the optimum parameter computation for microneedles are developed, where it is essential that microneedle number is large enough. The parameter computation for elastic surface resistance under interaction with microneedle systems is considered as approximation and homogenization solutions for the integral functional minimization problem, which is determined as an obstacle problem. The obtained optimal values of microneedle parameters are guarantees for effective applications of transdermal drug delivery. The statement on independence of the parameters on the base form and configuration of microneedles is proved. The independence is related above all things to needle microthinness of systems under consideration. The mentioned statement makes clear that the systems with circular cylindrical microneedles are most optimal, since the microneedles have the best properties for the drug injections.
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