Version 1
: Received: 14 October 2021 / Approved: 15 October 2021 / Online: 15 October 2021 (12:26:09 CEST)
How to cite:
Pakhomova, K. A.; Pasko, A. A.; Akhatov, I. S. Function Representation for Basic Processes Modeling in 3D Bioprinting. Preprints2021, 2021100225. https://doi.org/10.20944/preprints202110.0225.v1
Pakhomova, K. A.; Pasko, A. A.; Akhatov, I. S. Function Representation for Basic Processes Modeling in 3D Bioprinting. Preprints 2021, 2021100225. https://doi.org/10.20944/preprints202110.0225.v1
Pakhomova, K. A.; Pasko, A. A.; Akhatov, I. S. Function Representation for Basic Processes Modeling in 3D Bioprinting. Preprints2021, 2021100225. https://doi.org/10.20944/preprints202110.0225.v1
APA Style
Pakhomova, K. A., Pasko, A. A., & Akhatov, I. S. (2021). Function Representation for Basic Processes Modeling in 3D Bioprinting. Preprints. https://doi.org/10.20944/preprints202110.0225.v1
Chicago/Turabian Style
Pakhomova, K. A., Alexander Alexandrovich Pasko and Iskander Shaukatovich Akhatov. 2021 "Function Representation for Basic Processes Modeling in 3D Bioprinting" Preprints. https://doi.org/10.20944/preprints202110.0225.v1
Abstract
We propose a non-invasive approach to control the quality of spheroids and their fusion into a complex bioconstruct. The proposed method is based on the union of the nutrient concentration change calculated using Fick's law and the "reaction-diffusion" equations, taking into account absorption coefficient with specifying the exact fusion geometry using implicit Function Repre-sentation (FRep) functions. The proposed approach allows us to analyze the viability of cells within the spheroid, predict the fusion of spheroids, and accurately model complex heteroge-neous biostructures as a future task for our research. These results will significantly accelerate the development of such a promising field of additive biotechnologies as 3D bioprinting.
Keywords
Function Representation; implicit functions; geometry and topology; 3D bioprinting; tissue spheroids; modeling and simulation; diffusion-concentration calculations; cellular necrosis; additive technologies
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.