Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve

Sun Bing; Tian Feng; Liu Li; Zhang Yan; Qi Jingai

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Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve

Sun Bing, Tian Feng, Liu Li, Zhang Yan, Qi Jingai

Published in Asia-Pacific Journal of Computer Science and Technology (Volume 1, Issue 1)

Received: 10 December 2018 Accepted: 16 January 2019 Published: 20 February 2019

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Abstract

The left ventricular blood pressure curve of one cardiac cycle of an actual heart is known, and its blood pressure curve is fitted by the fuzzy control of three elements. According to the characteristics at the time points on the curve of blood pressure, after divided into five sections, it could be fitted. When using a three-element-controlled fuzzy fit, the curve is expressed as y(x)=c₂x²+c₁x+c₀, where ci is the constant to be solved, and because of the three unknown c₂, c₁, c₀, there must be 3 constraints . If we know the three coordinate points on the distribution curve and slope m₁ on the initial segment, When y (x)=c₂x²+c₁x+c₀ is expressed in a matrix, then the inverse of it can be obtained. Thus, we can get the expression y=f(x)=f(x₁, y₁, x₂, y₂, m₁). In the Maple software environment, entering the expression f(x₁, y₁, x₂, y₂, m₁) and x₁, x₂, y₁, y₂, m₁, then could get the y = f(x) expressions and plot their graphs. The fitting results of y= f(X) expressions for the 5 periods are shown in table 3 and after observed fitting effect of the three control elements, the visual effect on the curve is still well as possible. The maximum and the minimum blood pressure in the left ventricle are 120 and 1.5 mm Hg, respectively, and the resulting expression y = f(x) for each segment can be put into practical use for electrostatic excitation of aorta electrostatic pumps.

Published in	Asia-Pacific Journal of Computer Science and Technology (Volume 1, Issue 1)
Page(s)	8-14
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Blood Pressure Curve of Heart, Three-Element Controlled Fuzzy Fit, Electrostatic Blood Pump and Valve, Inversion, Two Order Polynomial

References

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APA Style

Sun Bing, Tian Feng, Liu Li, Zhang Yan, Qi Jingai. (2019). Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pacific Journal of Computer Science and Technology, 1(1), 8-14.

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ACS Style

Sun Bing; Tian Feng; Liu Li; Zhang Yan; Qi Jingai. Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pac. J. Comput. Sci. Technol. 2019, 1(1), 8-14.

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AMA Style

Sun Bing, Tian Feng, Liu Li, Zhang Yan, Qi Jingai. Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pac J Comput Sci Technol. 2019;1(1):8-14.

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@article{10035917,
  author = {Sun Bing and Tian Feng and Liu Li and Zhang Yan and Qi Jingai},
  title = {Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve},
  journal = {Asia-Pacific Journal of Computer Science and Technology},
  volume = {1},
  number = {1},
  pages = {8-14},
  url = {https://www.sciencepublishinggroup.com/article/10035917},
  abstract = {The left ventricular blood pressure curve of one cardiac cycle of an actual heart is known, and its blood pressure curve is fitted by the fuzzy control of three elements. According to the characteristics at the time points on the curve of blood pressure, after divided into five sections, it could be fitted. When using a three-element-controlled fuzzy fit, the curve is expressed as y(x)=c2x2+c1x+c0, where ci is the constant to be solved, and because of the three unknown c2, c1, c0, there must be 3 constraints . If we know the three coordinate points on the distribution curve and slope m1 on the initial segment, When y (x)=c2x2+c1x+c0 is expressed in a matrix, then the inverse of it can be obtained. Thus, we can get the expression y=f(x)=f(x1, y1, x2, y2, m1). In the Maple software environment, entering the expression f(x1, y1, x2, y2, m1) and x1, x2, y1, y2, m1, then could get the y = f(x) expressions and plot their graphs. The fitting results of y= f(X) expressions for the 5 periods are shown in table 3 and after observed fitting effect of the three control elements, the visual effect on the curve is still well as possible. The maximum and the minimum blood pressure in the left ventricle are 120 and 1.5 mm Hg, respectively, and the resulting expression y = f(x) for each segment can be put into practical use for electrostatic excitation of aorta electrostatic pumps.},
 year = {2019}
}

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TY  - JOUR
T1  - Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve
AU  - Sun Bing
AU  - Tian Feng
AU  - Liu Li
AU  - Zhang Yan
AU  - Qi Jingai
Y1  - 2019/02/20
PY  - 2019
T2  - Asia-Pacific Journal of Computer Science and Technology
JF  - Asia-Pacific Journal of Computer Science and Technology
JO  - Asia-Pacific Journal of Computer Science and Technology
SP  - 8
EP  - 14
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10035917
AB  - The left ventricular blood pressure curve of one cardiac cycle of an actual heart is known, and its blood pressure curve is fitted by the fuzzy control of three elements. According to the characteristics at the time points on the curve of blood pressure, after divided into five sections, it could be fitted. When using a three-element-controlled fuzzy fit, the curve is expressed as y(x)=c2x2+c1x+c0, where ci is the constant to be solved, and because of the three unknown c2, c1, c0, there must be 3 constraints . If we know the three coordinate points on the distribution curve and slope m1 on the initial segment, When y (x)=c2x2+c1x+c0 is expressed in a matrix, then the inverse of it can be obtained. Thus, we can get the expression y=f(x)=f(x1, y1, x2, y2, m1). In the Maple software environment, entering the expression f(x1, y1, x2, y2, m1) and x1, x2, y1, y2, m1, then could get the y = f(x) expressions and plot their graphs. The fitting results of y= f(X) expressions for the 5 periods are shown in table 3 and after observed fitting effect of the three control elements, the visual effect on the curve is still well as possible. The maximum and the minimum blood pressure in the left ventricle are 120 and 1.5 mm Hg, respectively, and the resulting expression y = f(x) for each segment can be put into practical use for electrostatic excitation of aorta electrostatic pumps.
VL  - 1
IS  - 1
ER  -

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Author Information

Sun Bing

Tianjin Metrology Supervision and Testing Science Research Institute, Tianjin, China
Tian Feng

University Office, Information College, Hebei University of Technology, Tianjin, China
Liu Li

University Office, Information College, Hebei University of Technology, Tianjin, China
Zhang Yan

University Office, Information College, Hebei University of Technology, Tianjin, China
Qi Jingai

University Office, Information College, Hebei University of Technology, Tianjin, China

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Plain Text BibTeX RIS

APA Style

Sun Bing, Tian Feng, Liu Li, Zhang Yan, Qi Jingai. (2019). Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pacific Journal of Computer Science and Technology, 1(1), 8-14.

Copy | Download

ACS Style

Sun Bing; Tian Feng; Liu Li; Zhang Yan; Qi Jingai. Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pac. J. Comput. Sci. Technol. 2019, 1(1), 8-14.

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AMA Style

Sun Bing, Tian Feng, Liu Li, Zhang Yan, Qi Jingai. Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve. Asia-Pac J Comput Sci Technol. 2019;1(1):8-14.

Copy | Download

@article{10035917,
  author = {Sun Bing and Tian Feng and Liu Li and Zhang Yan and Qi Jingai},
  title = {Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve},
  journal = {Asia-Pacific Journal of Computer Science and Technology},
  volume = {1},
  number = {1},
  pages = {8-14},
  url = {https://www.sciencepublishinggroup.com/article/10035917},
  abstract = {The left ventricular blood pressure curve of one cardiac cycle of an actual heart is known, and its blood pressure curve is fitted by the fuzzy control of three elements. According to the characteristics at the time points on the curve of blood pressure, after divided into five sections, it could be fitted. When using a three-element-controlled fuzzy fit, the curve is expressed as y(x)=c2x2+c1x+c0, where ci is the constant to be solved, and because of the three unknown c2, c1, c0, there must be 3 constraints . If we know the three coordinate points on the distribution curve and slope m1 on the initial segment, When y (x)=c2x2+c1x+c0 is expressed in a matrix, then the inverse of it can be obtained. Thus, we can get the expression y=f(x)=f(x1, y1, x2, y2, m1). In the Maple software environment, entering the expression f(x1, y1, x2, y2, m1) and x1, x2, y1, y2, m1, then could get the y = f(x) expressions and plot their graphs. The fitting results of y= f(X) expressions for the 5 periods are shown in table 3 and after observed fitting effect of the three control elements, the visual effect on the curve is still well as possible. The maximum and the minimum blood pressure in the left ventricle are 120 and 1.5 mm Hg, respectively, and the resulting expression y = f(x) for each segment can be put into practical use for electrostatic excitation of aorta electrostatic pumps.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Fitting a Cardiac Cycle of Left Ventricular Blood Pressure Curve
AU  - Sun Bing
AU  - Tian Feng
AU  - Liu Li
AU  - Zhang Yan
AU  - Qi Jingai
Y1  - 2019/02/20
PY  - 2019
T2  - Asia-Pacific Journal of Computer Science and Technology
JF  - Asia-Pacific Journal of Computer Science and Technology
JO  - Asia-Pacific Journal of Computer Science and Technology
SP  - 8
EP  - 14
PB  - Science Publishing Group
UR  - http://www.sciencepg.com/article/10035917
AB  - The left ventricular blood pressure curve of one cardiac cycle of an actual heart is known, and its blood pressure curve is fitted by the fuzzy control of three elements. According to the characteristics at the time points on the curve of blood pressure, after divided into five sections, it could be fitted. When using a three-element-controlled fuzzy fit, the curve is expressed as y(x)=c2x2+c1x+c0, where ci is the constant to be solved, and because of the three unknown c2, c1, c0, there must be 3 constraints . If we know the three coordinate points on the distribution curve and slope m1 on the initial segment, When y (x)=c2x2+c1x+c0 is expressed in a matrix, then the inverse of it can be obtained. Thus, we can get the expression y=f(x)=f(x1, y1, x2, y2, m1). In the Maple software environment, entering the expression f(x1, y1, x2, y2, m1) and x1, x2, y1, y2, m1, then could get the y = f(x) expressions and plot their graphs. The fitting results of y= f(X) expressions for the 5 periods are shown in table 3 and after observed fitting effect of the three control elements, the visual effect on the curve is still well as possible. The maximum and the minimum blood pressure in the left ventricle are 120 and 1.5 mm Hg, respectively, and the resulting expression y = f(x) for each segment can be put into practical use for electrostatic excitation of aorta electrostatic pumps.
VL  - 1
IS  - 1
ER  -

Copy | Download