Mathematics and Computing in Cardiology

A special issue of Mathematical and Computational Applications (ISSN 2297-8747).

Deadline for manuscript submissions: closed (31 December 2018) | Viewed by 3676

Special Issue Editor


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Guest Editor
Department of Computer Science, ESEI, University of Vigo, 32004 Ourense, Spain
Interests: biomedical signal processing; ECG; heart rate variability
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The heart is the motor that keeps the body alive, responsible for making blood flow to all cells and passing it through the lungs to oxygenate it. Its rhythm is controlled by the nervous system and each beat propagates through heart muscles, following a well-defined pattern to get the atria and ventricles to contract and relax at the right time to achieve the highest possible efficiency in blood pumping. However, this perfect machine can fail causing various cardiovascular illnesses.

Physicians analyze heart sounds, record the electrical activity through electrocardiograms, take pictures of arteries and veins that cover the heart, or even record videos showing blood flow in these channels. All this is done to infer what is wrong and to find solutions.

Computers and mathematics are becoming increasingly important in this process. Devices are more reliable, portable and fast. Algorithms capable of extracting more information and presenting it in a better way to doctors have been implemented. Mathematical models for different components of the cardiovascular system have been designed, tested and correlated with real physiology. They are great advances, but there is still a lot to do.

In this Special Issue, we would like to receive contributions describing applications of mathematics and computation to cardiology. Some possible topics include:

  • ECG and heart rate variability
  • Blood pressure
  • Phonocardiography
  • Echocardiography and other image techniques
  • Hardware devices
  • Software tools
  • Mathematical models
  • Clinical applications

Dr. Xosé Antón Vila Sobrino
Guest Editor

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Keywords

  • ECG
  • Mathematical models
  • Machine learning
  • Signal processing
  • Image processing
  • Software tools
  • Cardiology
  • Sensors
  • Patient monitoring
  • Clinical diagnosis
  • Heart rate variability

Published Papers (1 paper)

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Research

7 pages, 1473 KiB  
Communication
Left Ventricular Volume in Bovines: The Correlation between Teichholz’s Medical Mathematical Method and the Volume of the Truncated Prolate Spheroid
by José Sérgio Domingues, Ravel Alvarenga Coelho, Francielly Dos Santos Bento, Brenda Cristina Almeida and Ayanne Oliveira De Castro
Math. Comput. Appl. 2018, 23(3), 50; https://doi.org/10.3390/mca23030050 - 11 Sep 2018
Cited by 1 | Viewed by 3051
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Mathematics and Computing in Cardiology)
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