Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Function Representation for Basic Processes Modeling in 3D Bioprinting

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. 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. Preprints 2021, 2021100225. 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

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