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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Main Author: Ion Udroiu
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Methods and Protocols
Subjects:
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.
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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
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