Mathematical and Computational Aspects in Partial Ventriculectomy

Domingues, José Sérgio; Barbosa, Marcos Pinotti; Vale, Marcos de Paula

doi:10.1007/978-3-319-19470-7_3

Cited by 2 publications

(2 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A σ ( S ) parameter may also be applied in carrying out the Partial Left Ventriculectomy (PLV), which is a surgical procedure based on the resection of a slice of the LV free wall from patients with dilated cardiomyopathy in an advanced stage, so that the LV diameter can be reduced and the systolic function can be restored. This surgical procedure had its performance drastically reduced worldwide, but, on the other hand, it has been performed with strict criteria of selection, especially in Japan, and one of the problems in its realization is the lack of determination methods of the dimensions of the slice to be removed [ 22 , 23 ]. Recently a mathematical model that allows this determination was developed and its practical application is basically dependent on the LV's surface area in normal patients [ 22 , 24 , 25 ].…”

Section: Resultsmentioning

confidence: 99%

New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid

Domingues

Vale

Martinez

2017

The Scientific World Journal

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Resultsmentioning

confidence: 99%

New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid

Domingues

Vale

Martinez

2017

The Scientific World Journal

Self Cite

View full text Add to dashboard Cite

show abstract

“…The Left Ventricular Volume (LVV) is an extremely important heart parameter for the diagnosis of heart diseases, such as hypertension, heart failure, and dilated myocardiopathy [1][2][3][4][5].…”

Section: Introductionmentioning

confidence: 99%

Left Ventricular Volume in Bovines: The Correlation between Teichholz’s Medical Mathematical Method and the Volume of the Truncated Prolate Spheroid

Domingues

Coelho

Bento

et al. 2018

MCA

View full text Add to dashboard Cite

The main objective of this article is to determine the existing linear correlation between the real left ventricular volume (RV) from the heart of bovines and the volumes obtained by Teichholz's mathematical model and the volume of the truncated prolate spheroid (TPS) to identify which model has a higher proximity to the RV. For that, ten silicon rubber molds of the left ventricle (LV) were manufactured, and their real volumes were obtained through Archimedes' principle, and their linear dimensions were also obtained. These dimensions were used to feed Teichholz's and the TPS models. It was verified that, for ventricles of lower volume, the models showed relatively close results, and Teichholz's model was the most accurate one. The TPS method shows a grave accuracy mistake for higher volume ventricles. Besides, both methods showed strong linear correlations with the RV, and both with high significance.

show abstract

Mathematical and Computational Aspects in Partial Ventriculectomy

Cited by 2 publications

References 9 publications

New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid

New Mathematical Model for the Surface Area of the Left Ventricle by the Truncated Prolate Spheroid

Left Ventricular Volume in Bovines: The Correlation between Teichholz’s Medical Mathematical Method and the Volume of the Truncated Prolate Spheroid

Contact Info

Product

Resources

About