Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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

MATHEMATICS & COMPUTER SCIENCE, Geometry & Topology

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.