Quantitative analysis of body metabolism regulation model in the process of weight loss

Dong-Mei Li; Ta-Na Guo; Qi Wang; Bing Chai; Rui-Xue Zhang; Dong-Mei Li; Ta-Na Guo; Qi Wang; Bing Chai; Rui-Xue Zhang

doi:10.3934/math.2020165

AIMS Mathematics

2020, Volume 5, Issue 3: 2500-2525. doi: 10.3934/math.2020165

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Quantitative analysis of body metabolism regulation model in the process of weight loss

1.
College of science, Harbin University of Science Technology, Harbin 150080, China
2.
Heilongjiang Hospital, Harbin 150036, China

Received: 09 December 2019 Accepted: 11 February 2020 Published: 09 March 2020
MSC : 34A34, 92B05

In this paper, the metabolic regulation model of the body during weight loss is established according to the numerical variation law of the three major nutrients and the biological principles. The changing trend of the solution of the model is qualitatively analyzed by using the theory of time-varying differential equation. According to the normal values of the three major nutrients and the ketone body, the sufficient conditions for safe weight loss under the three ways of weight loss during dieting, exercise and drug are provided respectively. Combining with the actual data, the model parameters are identified by the numerical analysis method. The feasible range and simulation curve of the three major nutrients and the ketone body under three weight loss modes are given as well. Finally, the unsafe factors in the process of weight loss are analyzed, and the weight loss suggestions beneficial to health are given.
- three major nutrients and ketone body,
- weight loss,
- metabolic regulation model,
- quantitative analysis,
- numerical simulation
Citation: Dong-Mei Li, Ta-Na Guo, Qi Wang, Bing Chai, Rui-Xue Zhang. Quantitative analysis of body metabolism regulation model in the process of weight loss[J]. AIMS Mathematics, 2020, 5(3): 2500-2525. doi: 10.3934/math.2020165

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Abstract

In this paper, the metabolic regulation model of the body during weight loss is established according to the numerical variation law of the three major nutrients and the biological principles. The changing trend of the solution of the model is qualitatively analyzed by using the theory of time-varying differential equation. According to the normal values of the three major nutrients and the ketone body, the sufficient conditions for safe weight loss under the three ways of weight loss during dieting, exercise and drug are provided respectively. Combining with the actual data, the model parameters are identified by the numerical analysis method. The feasible range and simulation curve of the three major nutrients and the ketone body under three weight loss modes are given as well. Finally, the unsafe factors in the process of weight loss are analyzed, and the weight loss suggestions beneficial to health are given.

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