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The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure
Since our retrospective study has formed a mathematical formula, α = f(x(1), …, x(252)), where α is the probability of cardiovascular events in patients with heart failure (HF) and x(1) is each clinical parameter, we prospectively tested the predictive capability and feasibility of the mathematical...
Autores principales: | , , , , , , , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5838101/ https://www.ncbi.nlm.nih.gov/pubmed/29507373 http://dx.doi.org/10.1038/s41598-018-22347-0 |
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author | Sakamoto, Mari Fukuda, Hiroki Kim, Jiyoong Ide, Tomomi Kinugawa, Shintaro Fukushima, Arata Tsutsui, Hiroyuki Ishii, Akira Ito, Shin Asanuma, Hiroshi Asakura, Masanori Washio, Takashi Kitakaze, Masafumi |
author_facet | Sakamoto, Mari Fukuda, Hiroki Kim, Jiyoong Ide, Tomomi Kinugawa, Shintaro Fukushima, Arata Tsutsui, Hiroyuki Ishii, Akira Ito, Shin Asanuma, Hiroshi Asakura, Masanori Washio, Takashi Kitakaze, Masafumi |
author_sort | Sakamoto, Mari |
collection | PubMed |
description | Since our retrospective study has formed a mathematical formula, α = f(x(1), …, x(252)), where α is the probability of cardiovascular events in patients with heart failure (HF) and x(1) is each clinical parameter, we prospectively tested the predictive capability and feasibility of the mathematical formula of cardiovascular events in HF patients. First of all, to create such a mathematical formula using limited number of the parameters to predict the cardiovascular events in HF patients, we retrospectively determined f(x) that formulates the relationship between the most influential 50 clinical parameters (x) among 252 parameters using 167 patients hospitalized due to acute HF; the nonlinear optimization could provide the formula of α = f(x(1), …, x(50)) which fitted the probability of the actual cardiovascular events per day. Secondly, we prospectively examined the predictability of f(x) in other 213 patients using 50 clinical parameters in 3 hospitals, and we found that the Kaplan–Meier curves using actual and estimated occurrence probabilities of cardiovascular events were closely correlated. We conclude that we created a mathematical formula f(x) that precisely predicted the occurrence probability of future cardiovascular outcomes of HF patients per day. Mathematical modelling may predict the occurrence probability of cardiovascular events in HF patients. |
format | Online Article Text |
id | pubmed-5838101 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-58381012018-03-12 The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure Sakamoto, Mari Fukuda, Hiroki Kim, Jiyoong Ide, Tomomi Kinugawa, Shintaro Fukushima, Arata Tsutsui, Hiroyuki Ishii, Akira Ito, Shin Asanuma, Hiroshi Asakura, Masanori Washio, Takashi Kitakaze, Masafumi Sci Rep Article Since our retrospective study has formed a mathematical formula, α = f(x(1), …, x(252)), where α is the probability of cardiovascular events in patients with heart failure (HF) and x(1) is each clinical parameter, we prospectively tested the predictive capability and feasibility of the mathematical formula of cardiovascular events in HF patients. First of all, to create such a mathematical formula using limited number of the parameters to predict the cardiovascular events in HF patients, we retrospectively determined f(x) that formulates the relationship between the most influential 50 clinical parameters (x) among 252 parameters using 167 patients hospitalized due to acute HF; the nonlinear optimization could provide the formula of α = f(x(1), …, x(50)) which fitted the probability of the actual cardiovascular events per day. Secondly, we prospectively examined the predictability of f(x) in other 213 patients using 50 clinical parameters in 3 hospitals, and we found that the Kaplan–Meier curves using actual and estimated occurrence probabilities of cardiovascular events were closely correlated. We conclude that we created a mathematical formula f(x) that precisely predicted the occurrence probability of future cardiovascular outcomes of HF patients per day. Mathematical modelling may predict the occurrence probability of cardiovascular events in HF patients. Nature Publishing Group UK 2018-03-05 /pmc/articles/PMC5838101/ /pubmed/29507373 http://dx.doi.org/10.1038/s41598-018-22347-0 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Sakamoto, Mari Fukuda, Hiroki Kim, Jiyoong Ide, Tomomi Kinugawa, Shintaro Fukushima, Arata Tsutsui, Hiroyuki Ishii, Akira Ito, Shin Asanuma, Hiroshi Asakura, Masanori Washio, Takashi Kitakaze, Masafumi The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title | The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title_full | The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title_fullStr | The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title_full_unstemmed | The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title_short | The impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
title_sort | impact of creating mathematical formula to predict cardiovascular events in patients with heart failure |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5838101/ https://www.ncbi.nlm.nih.gov/pubmed/29507373 http://dx.doi.org/10.1038/s41598-018-22347-0 |
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