The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator

Jean Pierre Namahoro; Xiao Haijun

doi:doi:10.11648/j.sjams.20190704.12

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The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator

Jean Pierre Namahoro, Xiao Haijun

Published in Science Journal of Applied Mathematics and Statistics (Volume 7, Issue 4)

Received: 6 August 2019 Accepted: 26 August 2019 Published: 9 October 2019

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Abstract

The standard incubator used to monitor the development of preterm infants, with much attention for random optimization can interrupt the three main parameters (oxygen, environmental temperature, and humidity) responsible for preterm growth. The artificial neural network (ANN) has been recently proposed as a novel technique to control those parameters to provide a better and stabilized environment in an incubator. Unfortunately, this novel technique cannot continuously provide and indicate the update challenge of preterm growth. The objective of this paper is to apply a Markov multi-state growth process incorporates with multilayer feed-forward artificial neural network as an improved methodology to continuously control and provide an update of preterm growth in an incubator. The exchangeable Markov growth process, transition graph, and artificial neural network discussed on and applied in the designed incubator as methodology in paper and then make a joint density function of Markov multi-states growth process through multi-steps designed Algorithm to get the theoretical results. The updated measurements (weight, height, and head-perimeter) associated with controlled parameters used as input to the threshold logic unit (TLU) of ANN and then distinguish whether the growth process is abnormal or normal at each state. The summarized algorithm and multilayer feed-forward ANN utilized the panel data collected at Murunda hospital in Rwanda as input to show the application of improved methodology proposed in this paper, specifically, multi-state growth process of preterm infants across gender. As results, the continuous exchangeability of the growth process at each state has updated and may show abnormal or normal of growth process, and then sensors may notify these change through the joint density function of Markov multi-states growth process. Thus, improved methodology can increase the security and minimize time consumption in continuous monitoring growth process in an advanced way in time this idea has been implemented.

Published in	Science Journal of Applied Mathematics and Statistics (Volume 7, Issue 4)
DOI	10.11648/j.sjams.20190704.12
Page(s)	56-62
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

Preterm Growth, Artificial Neural Network, Markov Multi-state Process, Incubator

References

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[3]	Ramsay, S. M. and R. M. Santella, The definition of life: a survey of obstetricians and neonatologists in New York City hospitals regarding extremely premature births. Maternal and child health journal, 2011. 15 (4): p. 446-452.
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[6]	Mazahery, H., et al., Air displacement plethysmography (pea pod) in full-term and pre-term infants: a comprehensive review of accuracy, reproducibility, and practical challenges. Maternal health, neonatology, and perinatology, 2018. 4 (1): p. 12.
[7]	Ramel, S. E., et al., Greater early gains in fat-free mass, but not fat mass, are associated with improved neurodevelopment at 1 year corrected age for prematurity in very low birth weight preterm infants. The Journal of pediatrics, 2016. 173: p. 108-115.
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[9]	Amer, G. M. and K. M. Al-Aubidy. Novel Technique to Control the Premature Infant Incubator System Using ANN. in Proceedings of Third International Conference on Systems, Signals & Devices (SSD 2005), Sousse, Tunisia. 2005.
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Jean Pierre Namahoro, Xiao Haijun. (2019). The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Science Journal of Applied Mathematics and Statistics, 7(4), 56-62. https://doi.org/10.11648/j.sjams.20190704.12

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ACS Style

Jean Pierre Namahoro; Xiao Haijun. The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Sci. J. Appl. Math. Stat. 2019, 7(4), 56-62. doi: 10.11648/j.sjams.20190704.12

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AMA Style

Jean Pierre Namahoro, Xiao Haijun. The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Sci J Appl Math Stat. 2019;7(4):56-62. doi: 10.11648/j.sjams.20190704.12

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@article{10.11648/j.sjams.20190704.12,
  author = {Jean Pierre Namahoro and Xiao Haijun},
  title = {The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {7},
  number = {4},
  pages = {56-62},
  doi = {10.11648/j.sjams.20190704.12},
  url = {https://doi.org/10.11648/j.sjams.20190704.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20190704.12},
  abstract = {The standard incubator used to monitor the development of preterm infants, with much attention for random optimization can interrupt the three main parameters (oxygen, environmental temperature, and humidity) responsible for preterm growth. The artificial neural network (ANN) has been recently proposed as a novel technique to control those parameters to provide a better and stabilized environment in an incubator. Unfortunately, this novel technique cannot continuously provide and indicate the update challenge of preterm growth. The objective of this paper is to apply a Markov multi-state growth process incorporates with multilayer feed-forward artificial neural network as an improved methodology to continuously control and provide an update of preterm growth in an incubator. The exchangeable Markov growth process, transition graph, and artificial neural network discussed on and applied in the designed incubator as methodology in paper and then make a joint density function of Markov multi-states growth process through multi-steps designed Algorithm to get the theoretical results. The updated measurements (weight, height, and head-perimeter) associated with controlled parameters used as input to the threshold logic unit (TLU) of ANN and then distinguish whether the growth process is abnormal or normal at each state. The summarized algorithm and multilayer feed-forward ANN utilized the panel data collected at Murunda hospital in Rwanda as input to show the application of improved methodology proposed in this paper, specifically, multi-state growth process of preterm infants across gender. As results, the continuous exchangeability of the growth process at each state has updated and may show abnormal or normal of growth process, and then sensors may notify these change through the joint density function of Markov multi-states growth process. Thus, improved methodology can increase the security and minimize time consumption in continuous monitoring growth process in an advanced way in time this idea has been implemented.},
 year = {2019}
}

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TY  - JOUR
T1  - The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator
AU  - Jean Pierre Namahoro
AU  - Xiao Haijun
Y1  - 2019/10/09
PY  - 2019
N1  - https://doi.org/10.11648/j.sjams.20190704.12
DO  - 10.11648/j.sjams.20190704.12
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 56
EP  - 62
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20190704.12
AB  - The standard incubator used to monitor the development of preterm infants, with much attention for random optimization can interrupt the three main parameters (oxygen, environmental temperature, and humidity) responsible for preterm growth. The artificial neural network (ANN) has been recently proposed as a novel technique to control those parameters to provide a better and stabilized environment in an incubator. Unfortunately, this novel technique cannot continuously provide and indicate the update challenge of preterm growth. The objective of this paper is to apply a Markov multi-state growth process incorporates with multilayer feed-forward artificial neural network as an improved methodology to continuously control and provide an update of preterm growth in an incubator. The exchangeable Markov growth process, transition graph, and artificial neural network discussed on and applied in the designed incubator as methodology in paper and then make a joint density function of Markov multi-states growth process through multi-steps designed Algorithm to get the theoretical results. The updated measurements (weight, height, and head-perimeter) associated with controlled parameters used as input to the threshold logic unit (TLU) of ANN and then distinguish whether the growth process is abnormal or normal at each state. The summarized algorithm and multilayer feed-forward ANN utilized the panel data collected at Murunda hospital in Rwanda as input to show the application of improved methodology proposed in this paper, specifically, multi-state growth process of preterm infants across gender. As results, the continuous exchangeability of the growth process at each state has updated and may show abnormal or normal of growth process, and then sensors may notify these change through the joint density function of Markov multi-states growth process. Thus, improved methodology can increase the security and minimize time consumption in continuous monitoring growth process in an advanced way in time this idea has been implemented.
VL  - 7
IS  - 4
ER  -

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Author Information

Jean Pierre Namahoro

Department of Mathematics, Faculty of Statistics, China University of Geosciences (Wuhan), Wuhan, PR. China
Xiao Haijun

Department of Mathematics, Faculty of Statistics, China University of Geosciences (Wuhan), Wuhan, PR. China

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APA Style

Jean Pierre Namahoro, Xiao Haijun. (2019). The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Science Journal of Applied Mathematics and Statistics, 7(4), 56-62. https://doi.org/10.11648/j.sjams.20190704.12

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ACS Style

Jean Pierre Namahoro; Xiao Haijun. The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Sci. J. Appl. Math. Stat. 2019, 7(4), 56-62. doi: 10.11648/j.sjams.20190704.12

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AMA Style

Jean Pierre Namahoro, Xiao Haijun. The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator. Sci J Appl Math Stat. 2019;7(4):56-62. doi: 10.11648/j.sjams.20190704.12

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@article{10.11648/j.sjams.20190704.12,
  author = {Jean Pierre Namahoro and Xiao Haijun},
  title = {The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {7},
  number = {4},
  pages = {56-62},
  doi = {10.11648/j.sjams.20190704.12},
  url = {https://doi.org/10.11648/j.sjams.20190704.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20190704.12},
  abstract = {The standard incubator used to monitor the development of preterm infants, with much attention for random optimization can interrupt the three main parameters (oxygen, environmental temperature, and humidity) responsible for preterm growth. The artificial neural network (ANN) has been recently proposed as a novel technique to control those parameters to provide a better and stabilized environment in an incubator. Unfortunately, this novel technique cannot continuously provide and indicate the update challenge of preterm growth. The objective of this paper is to apply a Markov multi-state growth process incorporates with multilayer feed-forward artificial neural network as an improved methodology to continuously control and provide an update of preterm growth in an incubator. The exchangeable Markov growth process, transition graph, and artificial neural network discussed on and applied in the designed incubator as methodology in paper and then make a joint density function of Markov multi-states growth process through multi-steps designed Algorithm to get the theoretical results. The updated measurements (weight, height, and head-perimeter) associated with controlled parameters used as input to the threshold logic unit (TLU) of ANN and then distinguish whether the growth process is abnormal or normal at each state. The summarized algorithm and multilayer feed-forward ANN utilized the panel data collected at Murunda hospital in Rwanda as input to show the application of improved methodology proposed in this paper, specifically, multi-state growth process of preterm infants across gender. As results, the continuous exchangeability of the growth process at each state has updated and may show abnormal or normal of growth process, and then sensors may notify these change through the joint density function of Markov multi-states growth process. Thus, improved methodology can increase the security and minimize time consumption in continuous monitoring growth process in an advanced way in time this idea has been implemented.},
 year = {2019}
}

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TY  - JOUR
T1  - The Exchangeable Markov Multi-states Growth Process Incorporate with an Artificial Neural Network of Preterm Infants in an Incubator
AU  - Jean Pierre Namahoro
AU  - Xiao Haijun
Y1  - 2019/10/09
PY  - 2019
N1  - https://doi.org/10.11648/j.sjams.20190704.12
DO  - 10.11648/j.sjams.20190704.12
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 56
EP  - 62
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20190704.12
AB  - The standard incubator used to monitor the development of preterm infants, with much attention for random optimization can interrupt the three main parameters (oxygen, environmental temperature, and humidity) responsible for preterm growth. The artificial neural network (ANN) has been recently proposed as a novel technique to control those parameters to provide a better and stabilized environment in an incubator. Unfortunately, this novel technique cannot continuously provide and indicate the update challenge of preterm growth. The objective of this paper is to apply a Markov multi-state growth process incorporates with multilayer feed-forward artificial neural network as an improved methodology to continuously control and provide an update of preterm growth in an incubator. The exchangeable Markov growth process, transition graph, and artificial neural network discussed on and applied in the designed incubator as methodology in paper and then make a joint density function of Markov multi-states growth process through multi-steps designed Algorithm to get the theoretical results. The updated measurements (weight, height, and head-perimeter) associated with controlled parameters used as input to the threshold logic unit (TLU) of ANN and then distinguish whether the growth process is abnormal or normal at each state. The summarized algorithm and multilayer feed-forward ANN utilized the panel data collected at Murunda hospital in Rwanda as input to show the application of improved methodology proposed in this paper, specifically, multi-state growth process of preterm infants across gender. As results, the continuous exchangeability of the growth process at each state has updated and may show abnormal or normal of growth process, and then sensors may notify these change through the joint density function of Markov multi-states growth process. Thus, improved methodology can increase the security and minimize time consumption in continuous monitoring growth process in an advanced way in time this idea has been implemented.
VL  - 7
IS  - 4
ER  -

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