New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid
The main aim of this study was the formula application of the superficial area of a truncated prolate spheroid (TPS) in Cartesian coordinates in obtaining a cardiac parameter that is not so much discussed in literature, related to the left ventricle (LV) surface area of the human heart, by age and s...
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Wiley
2017-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2017/6981515 |
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| author | José Sérgio Domingues Marcos de Paula Vale Carlos Barreira Martinez |
| author_facet | José Sérgio Domingues Marcos de Paula Vale Carlos Barreira Martinez |
| author_sort | José Sérgio Domingues |
| collection | DOAJ |
| description | The main aim of this study was the formula application of the superficial area of a truncated prolate spheroid (TPS) in Cartesian coordinates in obtaining a cardiac parameter that is not so much discussed in literature, related to the left ventricle (LV) surface area of the human heart, by age and sex. First we obtain a formula for the area of a TPS. Then a simple mathematical model of association of the axes measures of a TPS with the axes of the LV is built. Finally real values of the average dimensions of the humans LV are used to measure surface areas approximations of this heart chamber. As a result, the average superficial area of LV for normal patients is obtained and it is observed that the percentage differences of areas between men and women and their consecutive age groups are constant. A strong linear correlation between the obtained areas and the ventricular volumes normalized by the body areas was observed. The obtained results indicate that the superficial area of the LV, besides enabling a greater knowledge of the geometrical characteristics of the human LV, may be used as one of the normality cardiac verification criteria and be useful for medical and biological applications. |
| format | Article |
| id | doaj-art-e940d1d71691405c967d23f69b90f806 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e940d1d71691405c967d23f69b90f8062025-08-20T03:21:08ZengWileyThe Scientific World Journal2356-61401537-744X2017-01-01201710.1155/2017/69815156981515New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate SpheroidJosé Sérgio Domingues0Marcos de Paula Vale1Carlos Barreira Martinez2Department of Mechanical Engineering, Federal University of Minas Gerais (UFMG), Belo Horizonte, MG, BrazilCardiovascular Surgery, Nossa Senhora das Dores Hospital, Itabira, MG, BrazilDepartment of Mechanical Engineering, Federal University of Minas Gerais (UFMG), Belo Horizonte, MG, BrazilThe main aim of this study was the formula application of the superficial area of a truncated prolate spheroid (TPS) in Cartesian coordinates in obtaining a cardiac parameter that is not so much discussed in literature, related to the left ventricle (LV) surface area of the human heart, by age and sex. First we obtain a formula for the area of a TPS. Then a simple mathematical model of association of the axes measures of a TPS with the axes of the LV is built. Finally real values of the average dimensions of the humans LV are used to measure surface areas approximations of this heart chamber. As a result, the average superficial area of LV for normal patients is obtained and it is observed that the percentage differences of areas between men and women and their consecutive age groups are constant. A strong linear correlation between the obtained areas and the ventricular volumes normalized by the body areas was observed. The obtained results indicate that the superficial area of the LV, besides enabling a greater knowledge of the geometrical characteristics of the human LV, may be used as one of the normality cardiac verification criteria and be useful for medical and biological applications.http://dx.doi.org/10.1155/2017/6981515 |
| spellingShingle | José Sérgio Domingues Marcos de Paula Vale Carlos Barreira Martinez New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid The Scientific World Journal |
| title | New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid |
| title_full | New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid |
| title_fullStr | New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid |
| title_full_unstemmed | New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid |
| title_short | New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid |
| title_sort | new mathematical model for the surface area of the left ventricle by the truncated prolate spheroid |
| url | http://dx.doi.org/10.1155/2017/6981515 |
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