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Recent Developments in Intelligent Computing, Communication and Devices pp 291–301Cite as

Mathematically Modeling the Role of Triglyceride Production on Leptin Resistance

Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 752)

Abstract

Diet-induced obesity is becoming more common all over the world, which is increasing the prevalence of obesity-induced chronic diseases such as diabetes, coronary heart disease, cancer, and sleep apnea. Many experimental results show that obesity is often associated with an elevated concentration of plasma leptin and triglycerides. Triglycerides inhibit the passage of leptin across the blood–brain barrier (BBB) to signal the hypothalamus to suppress appetite. However, it is still not clear how triglyceride concentration affects leptin transport across the BBB and energy balance. In this paper, we propose a novel ordinary differential equations model describing the role of leptin in the regulation of adipose tissue mass. Analytical and numerical results are analyzed using biologically relevant parameter values. Additionally, we perform sensitivity analysis of the equilibria and study the sensitivity of triglyceride production on leptin resistance. Equilibria analysis and simulation results show that triglyceride production plays an important role in determining the fat mass in an individual. As weight increases, the occurrence of leptin resistance increases. Obesity enhances the likelihood of creating a vicious circle, where more fat mass leads to greater leptin resistance. Thus, control of the triglyceride production may be effective in reducing the occurrence of leptin resistance.

Keywords

  • Triglyceride
  • Leptin resistance
  • Sensitivity
  • Bifurcation

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Acknowledgements

This research was conducted in Mathematical and Theoretical Biology Institute (MTBI) at the Simon A. Levin Mathematical, Computational and Modeling Sciences Center (SAL MCMSC) at Arizona State University (ASU). It was partially supported by grants from the National Science Foundation (DMS1263374), and Zhao’s work partially supported by the Ningxia Medical University Research Project (XT2017002).

Author information

Authors and Affiliations

  1. School of Public Health and Management, Ningxia Medical University, Ningxia, Yinchuan, 750004, China

    Yu Zhao

  2. Simon A. Levin Mathematical, Computational and Modeling Sciences Center, Arizona State University, Tempe, AZ, 85281, USA

    Daniel Burkow

  3. Department of Mathematical Sciences, Montclair State University, Montclair, NJ, 07043, USA

    Baojun Song

Authors
  1. Yu Zhao
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  2. Daniel Burkow
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  3. Baojun Song
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Corresponding author

Correspondence to Baojun Song .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Faculty of Engineering and Technology, SOA University, Bhubaneswar, India

    Prof. Srikanta Patnaik

  2. Victoria Business School, Victoria University of Wellington, Wellington, New Zealand

    Dr. Vipul Jain

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Zhao, Y., Burkow, D., Song, B. (2019). Mathematically Modeling the Role of Triglyceride Production on Leptin Resistance. In: Patnaik, S., Jain, V. (eds) Recent Developments in Intelligent Computing, Communication and Devices. Advances in Intelligent Systems and Computing, vol 752. Springer, Singapore. https://doi.org/10.1007/978-981-10-8944-2_35

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