Mathematical model for treatment of neonatal hyperbilirubinemia

Based on the mechanism of neonatal hyperbilirubinemia treatment methods (light, exchange blood and drugs), three types of neonatal hyperbilirubinemia treatment mathematical models are established, and the expressions of the model solutions are given in this paper. By applying clinical test data and...

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Autores principales:	DongMei Li, Rui-xue Zhang, Qian Xie, Qi Wang
Formato:	article
Lenguaje:	EN
Publicado:	AIMS Press 2021
Materias:	neonatal hyperbilirubinemia mathematical model combination treatment plan design numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/ed4deebd84af48ac9f90c249121122cf
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id	oai:doaj.org-article:ed4deebd84af48ac9f90c249121122cf
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spelling	oai:doaj.org-article:ed4deebd84af48ac9f90c249121122cf2021-11-29T02:35:05ZMathematical model for treatment of neonatal hyperbilirubinemia10.3934/mbe.20214321551-0018https://doaj.org/article/ed4deebd84af48ac9f90c249121122cf2021-10-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021432?viewType=HTMLhttps://doaj.org/toc/1551-0018Based on the mechanism of neonatal hyperbilirubinemia treatment methods (light, exchange blood and drugs), three types of neonatal hyperbilirubinemia treatment mathematical models are established, and the expressions of the model solutions are given in this paper. By applying clinical test data and numerical approximation algorithm, the relevant parameters in the model can be estimated. According to the standards of "Expert Consensus", two treatment plans are designed, which are 1) the combined transfusion and phototherapy treatment plan and 2) the combined treatment plan of drugs, transfusion and phototherapy. The results of the program operation are numerically simulated and compared with the treatment data of clinical cases. It is found that the coincidence effect is important, which verified the rationality of the model. The model results can track and predict the changes of bilirubin levels in real-time, which provides a theoretical basis for the clinical design of treatment plans.DongMei LiRui-xue Zhang Qian XieQi WangAIMS Pressarticleneonatal hyperbilirubinemiamathematical modelcombination treatment plan designnumerical simulationBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8758-8782 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	neonatal hyperbilirubinemia mathematical model combination treatment plan design numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	neonatal hyperbilirubinemia mathematical model combination treatment plan design numerical simulation Biotechnology TP248.13-248.65 Mathematics QA1-939 DongMei Li Rui-xue Zhang Qian Xie Qi Wang Mathematical model for treatment of neonatal hyperbilirubinemia
description	Based on the mechanism of neonatal hyperbilirubinemia treatment methods (light, exchange blood and drugs), three types of neonatal hyperbilirubinemia treatment mathematical models are established, and the expressions of the model solutions are given in this paper. By applying clinical test data and numerical approximation algorithm, the relevant parameters in the model can be estimated. According to the standards of "Expert Consensus", two treatment plans are designed, which are 1) the combined transfusion and phototherapy treatment plan and 2) the combined treatment plan of drugs, transfusion and phototherapy. The results of the program operation are numerically simulated and compared with the treatment data of clinical cases. It is found that the coincidence effect is important, which verified the rationality of the model. The model results can track and predict the changes of bilirubin levels in real-time, which provides a theoretical basis for the clinical design of treatment plans.
format	article
author	DongMei Li Rui-xue Zhang Qian Xie Qi Wang
author_facet	DongMei Li Rui-xue Zhang Qian Xie Qi Wang
author_sort	DongMei Li
title	Mathematical model for treatment of neonatal hyperbilirubinemia
title_short	Mathematical model for treatment of neonatal hyperbilirubinemia
title_full	Mathematical model for treatment of neonatal hyperbilirubinemia
title_fullStr	Mathematical model for treatment of neonatal hyperbilirubinemia
title_full_unstemmed	Mathematical model for treatment of neonatal hyperbilirubinemia
title_sort	mathematical model for treatment of neonatal hyperbilirubinemia
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/ed4deebd84af48ac9f90c249121122cf
work_keys_str_mv	AT dongmeili mathematicalmodelfortreatmentofneonatalhyperbilirubinemia AT ruixuezhang mathematicalmodelfortreatmentofneonatalhyperbilirubinemia AT qianxie mathematicalmodelfortreatmentofneonatalhyperbilirubinemia AT qiwang mathematicalmodelfortreatmentofneonatalhyperbilirubinemia
_version_	1718407682931556352

Mathematical model for treatment of neonatal hyperbilirubinemia

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