Reimagining Archimedes: An innovative and accurate calculation of volumes and asserting another standard method for defining the surface area of quail and any avian eggs

Narushin, Valeriy G., Volkova, Natalia A., Vetokh, Anastasia N., Dzhagaev, Alan Yu., Sotnikov, Danila A., Volkova, Ludmila A., Orszulik, Stefan T., Griffin, Darren K., Romanov, Michael N., Zinovieva, Natalia A. and others. (2024) Reimagining Archimedes: An innovative and accurate calculation of volumes and asserting another standard method for defining the surface area of quail and any avian eggs. Food and Bioproducts Processing, 147 (Sept.). pp. 327-334. ISSN 0960-3085. E-ISSN 1744-3571. (doi:10.1016/j.fbp.2024.07.013) (KAR id:106686)

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Abstract

Egg-related research promises unique opportunities for food science and technology. There is an urgent need to develop non-destructive methodologies for defining key egg parameters, e.g., egg volume (V) and surface area (S), based only on egg images. Herewith, V can be measured using the Archimedes’ principle (i.e., dipping in water), while S can be inferred using formulae that include V as one of its variables. Although the Archimedes’ principle is the best approach for determining V, dipping an egg into water cannot be practicable. In this study, we derived the appropriate mathematical approaches to calculate V and S based on measurements of quail eggs’ linear parameters. The proposed calculation formulae are suitable for eggs of any shape and species. This innovative procedure can be employed as the basis of the most accurate of all existing methods for computing S and is suitable for both analytical and industrial measurements of V.

Item Type:	Article
DOI/Identification number:	10.1016/j.fbp.2024.07.013
Uncontrolled keywords:	Japanese quail eggs; Egg quality; Egg volume; Egg surface area; Topology; Non-destructive testing technology
Subjects:	Q Science > QA Mathematics (inc Computing science) Q Science > QA Mathematics (inc Computing science) > QA440 Geometry Q Science > QH Natural history > QH324.2 Computational biology Q Science > QL Zoology S Agriculture > SF Animal culture
Institutional Unit:	Schools > School of Natural Sciences > Biosciences
Former Institutional Unit:	Divisions > Division of Natural Sciences > Centre for Interdisciplinary Studies of Reproduction Divisions > Division of Natural Sciences > Biosciences
Signature Themes:	Food Systems, Natural Resources and Environment
Depositing User:	Mike Romanov
Date Deposited:	25 Jul 2024 08:28 UTC
Last Modified:	22 Jul 2025 09:20 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/106686 (The current URI for this page, for reference purposes)

University of Kent Author Information

Griffin, Darren K..

Creator's ORCID:	https://orcid.org/0000-0001-7595-3226
CReDIT Contributor Roles:

Romanov, Michael N..

Creator's ORCID:	https://orcid.org/0000-0003-3584-4644
CReDIT Contributor Roles:

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