A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes
Knowledge of the geometric quantities of the erythrocyte is useful in several physiological studies, both for zoologists and veterinarians. While the diameter and volume (MCV) are easily obtained from observations of blood smears and complete blood count, respectively, the thickness and surface area...
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MDPI AG
2024-01-01
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Series: | Methods and Protocols |
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Online Access: | https://www.mdpi.com/2409-9279/7/1/11 |
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author | Ion Udroiu |
author_facet | Ion Udroiu |
author_sort | Ion Udroiu |
collection | DOAJ |
description | Knowledge of the geometric quantities of the erythrocyte is useful in several physiological studies, both for zoologists and veterinarians. While the diameter and volume (MCV) are easily obtained from observations of blood smears and complete blood count, respectively, the thickness and surface area are instead much more difficult to measure. The precise description of the erythrocyte geometry is given by the equation of the oval of Cassini, but the formulas deriving from it are very complex, comprising elliptic integrals. In this article, three solids are proposed as models approximating the erythrocyte: sphere, cylinder and a spheroid with concave caps. The volumes and surface areas obtained with these models are compared to those effectively measured. The spheroid with concave caps gives the best approximation and can be used as a simple model to determine the erythrocyte surface area. With this model, a simple method that allows one to estimate the surface area by knowing only the diameter and MCV is proposed. |
first_indexed | 2024-03-07T22:19:17Z |
format | Article |
id | doaj.art-a815f04ec8a24ad1bffaa0ca13db95ac |
institution | Directory Open Access Journal |
issn | 2409-9279 |
language | English |
last_indexed | 2024-03-07T22:19:17Z |
publishDate | 2024-01-01 |
publisher | MDPI AG |
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series | Methods and Protocols |
spelling | doaj.art-a815f04ec8a24ad1bffaa0ca13db95ac2024-02-23T15:29:17ZengMDPI AGMethods and Protocols2409-92792024-01-01711110.3390/mps7010011A Simplified Method for Calculating Surface Area of Mammalian ErythrocytesIon Udroiu0Dipartimento di Scienze, Università degli Studi “Roma Tre”, 00146 Rome, ItalyKnowledge of the geometric quantities of the erythrocyte is useful in several physiological studies, both for zoologists and veterinarians. While the diameter and volume (MCV) are easily obtained from observations of blood smears and complete blood count, respectively, the thickness and surface area are instead much more difficult to measure. The precise description of the erythrocyte geometry is given by the equation of the oval of Cassini, but the formulas deriving from it are very complex, comprising elliptic integrals. In this article, three solids are proposed as models approximating the erythrocyte: sphere, cylinder and a spheroid with concave caps. The volumes and surface areas obtained with these models are compared to those effectively measured. The spheroid with concave caps gives the best approximation and can be used as a simple model to determine the erythrocyte surface area. With this model, a simple method that allows one to estimate the surface area by knowing only the diameter and MCV is proposed.https://www.mdpi.com/2409-9279/7/1/11MCVRBCred blood indicesvolumeareamammals |
spellingShingle | Ion Udroiu A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes Methods and Protocols MCV RBC red blood indices volume area mammals |
title | A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes |
title_full | A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes |
title_fullStr | A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes |
title_full_unstemmed | A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes |
title_short | A Simplified Method for Calculating Surface Area of Mammalian Erythrocytes |
title_sort | simplified method for calculating surface area of mammalian erythrocytes |
topic | MCV RBC red blood indices volume area mammals |
url | https://www.mdpi.com/2409-9279/7/1/11 |
work_keys_str_mv | AT ionudroiu asimplifiedmethodforcalculatingsurfaceareaofmammalianerythrocytes AT ionudroiu simplifiedmethodforcalculatingsurfaceareaofmammalianerythrocytes |