MODELING OF AN ARTIFICIAL FEEDING SYSTEM 
USING GEOMETRIC FRACTALS
Abstract and keywords
Abstract (English):
Modern bioengineering research requires the development artificial nutrient supply systems (ANSS) for organs-on-a-chip capable of efficiently delivering nutrients and oxygen to cellular structures. One of the key problems is the modeling of vascular networks that ensure the viability of tissues in vitro. In this paper, a solution based on fractal geometric models simulating 
the circulatory system of living organisms is proposed. The research focuses on two-dimensional fractal trees, the parameters of which (branching angles, depth of the permeability zone, similarity coefficients) are optimized to maximize power efficiency (F). Parametric models have been developed in the COMPASS 3D CAD system and a specialized program "Fractal IPS v1.18", which allows automating calculations. It is shown that the best results are achieved at branching angles from 90° to 180°, as well as with variable selection of parameters R and j, which allows increasing F up to 70%. The results of the work can be applied not only in bioengineering, but also 
in microelectronics (cooling systems) and agrotechnics (irrigation systems). A promising area 
of further research is the transition to three-dimensional models and multiparametric optimization algorithms.

Keywords:
organs-on-a-chip, fractal models, geometric modeling, artificial feeding system, geometric optimization
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References

1. Glieberman AL, Pope BD, et al. (2019). Synchronized Stimulation and Continuous Insulin Sensing in a Microfluidic Human Islet on a Chip Designed for Scalable Manufacturing. Lab on a Chip. DOI:https://doi.org/10.1039/c9lc00253g.

2. Deng J, Wei W, Chen Z, Lin B, Zhao W, Luo Y, et al. Engineered liver-on-a-chip platform 
to mimic liver functions and its biomedical applications: a review. Micromachines (Basel). 2019;10(10):676. https://doi.org/10.3390/mi10100676. EDN: https://elibrary.ru/LBXGIB

3. Kostadinova R., Boess F., Applegate D. et al. A long-term three-dimensional liver co-culture system for improved prediction of clinically relevant drug-induced hepatotoxicity // Toxicology and Applied Pharmacology. — 2013. — Vol. 268, № 1. — P. 1–16. DOI:https://doi.org/10.1016/j.taap.2013.01.012.

4. Deng J., Wei W., Chen Z. et al. Engineered liver-on-a-chip platform to mimic liver functions and its biomedical applications: A review // Micromachines. - 2019. - Vol. 10, № 10. - Art. 676. - DOI:https://doi.org/10.3390/mi10100676. EDN: https://elibrary.ru/LBXGIB

5. Kostadinova R, Boess F, Applegate D, Suter L, Weiser T, Singer T, et al. A long-term threedimensional liver co-culture system for improved prediction of clinically relevant drug-induced hepatotoxicity. Toxicol Appl Pharmacol. 2013;268(1):1–16. https://doi.org/https://doi.org/10.1016/j.taap.2013.01.012.

6. Zhiharev L.A. Geometricheskiy algoritm sozdaniya konstrukciy povyshennoy prochnosti na osnove treugol'nika Serpinskogo / L.A. Zhiharev // Problemy mashinovedeniya: Materialy V Mezhdunarodnoy nauchno-tehnicheskoy konferencii, Omsk, 16–17 marta 2021 goda. – Omsk: Omskiy gosudarstvennyy tehnicheskiy universitet, 2021. – 
S. 446-453. – DOIhttps://doi.org/10.25206/978-5-8149-3246-4-2021-446-453. – EDN PFHTQR.10.

7. Zhiharev L.A. Geometricheskie metody optimizacii topologii konstruktivnyh elementov na osnove teorii fraktalov: dissertaciya na soiskanie uchenoy stepeni kandidata tehnicheskih nauk / Zhiharev Leviin Alekseevich, 2023. – 224 s. EDN: https://elibrary.ru/PTBNXL

8. Kuspekov K.A. Optimizacionnye geometricheskie modeli i edinyy algoritm trassirovki inzhenernyh setey na ploskostyah s razlichnoy metrikoy // Geometriya i grafika. 2025. №. 1. S. 3-14. DOI: https://doi.org/10.12737/2308-4898-2025-13-1-3-14. EDN: https://elibrary.ru/SBGSCA

9. Mandel'brot B. Fraktal'naya geometriya prirody / per. s angl. A.R. Logunova. — M.: Institut komp'yuternyh issledovaniy, 2002. — 656 s. ISBN 5-93972-108-7.

10. Rustamyan V.V. αβ-triangulyaciya na evklidovoy ploskosti // Geometriya i grafika. 2025. №. 1. S. 15-25. DOI: https://doi.org/10.12737/2308-4898-2025-13-1-15-25. EDN: https://elibrary.ru/UPGUIU

11. Stefanenko S.S., Kirenya O.P. Primenenie fraktal'noy geometrii dlya generacii derev'ev //Sbornik materialov X Ezhegodnoy mezhdunarodnoy nauchno-prakticheskoy konferencii «Perspektivy, organizacionnye formy i effektivnost' razvitiya sotrudnichestva rossiyskih i zarubezhnyh vuzov». – LitRes, 2025. – S. 249.

12. Urok anatomii doktora Tul'pa. R. Rembrandt, 1632 g. [Elektronnyy resurs]. URL: https://www.mauritshuis.nl/en/our-collection/artworks/146-the-anatomy-lesson-of-dr-nicolaes-tulp/ (data obrascheniya: 01.08.2025).

13. Funkciya pecheni [Elektronnyy resurs] // Dreamstime: fotobank. - URL: https://ru.dreamstime.com/photos-images/funkciya-pecheni.html?pg=5&view=latest-uploads (data obrascheniya: 12.08.2025).

14. Harlanovich A.V., Novosel'skaya O.A. Postroenie fraktal'nyh derev'ev i ih programmnaya realizaciya v 3DsMax //Trudy BGTU. Seriya 3: Fiziko-matematicheskie nauki i informatika. – 2022. – №. 2 (260). – S. 121-130. DOI: https://doi.org/10.52065/2520-6141-2022-260-2-121-130; EDN: https://elibrary.ru/URCROS

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