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Modeling and simulation of glucose insulin glucagon algorithm for artificial pancreas to control the diabetes mellitus

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Abstract

Artificial pancreas systems the courage to remove this risk by taking existing pump technology to a new level. In this paper, we modified the existing model for type 1 diabetes mellitus to discuss different control strategies for the artificial pancreas. A model consists of eight states variables and various parameters, numerous of which are undefined and complicated to find out correctly. The stability of glucose-insulin in humans has been created and validated the non-negative unique solution. Controllability and observability for the glucose-insulin system is treated for feedback design to develop the artificial pancreas. We design glucose insulin algorithm for whole body having eight sub-compartments according to parameters values given in Liu and Tang (J Theor Biol 252:608–620, 2008) which provide the continues monitoring of glucose and insulin in finite time. Numerical simulation are carried out for closed-loop design which is helpful for the development of artificial pancreas. The developed model provides the estimation values for normal day life to measure the glucose-insulin system in humans.

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Authors and Affiliations

  1. Department of Sports Sciences and Physical Education, Faculty of Allied Health Sciences, University of Lahore, Lahore, 54590, Pakistan

    Muhammad Farhan Tabassum, Aqsa Shamim Ahmad & Saadia Mahmood ul Hassan

  2. Department of Mathematics and Statistics, University of Lahore, Lahore, 54590, Pakistan

    Muhammad Farman & Aqeel Ahmad

  3. School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, 710049, Shaanxi, People’s Republic of China

    Parvaiz Ahmad Naik

Authors
  1. Muhammad Farhan Tabassum
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  2. Muhammad Farman
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  3. Parvaiz Ahmad Naik
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  4. Aqeel Ahmad
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  5. Aqsa Shamim Ahmad
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  6. Saadia Mahmood ul Hassan
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Contributions

MFT: analysis, writing-original draft. MF: methodology, writing-original draft. PAN: conceptualization, review and editing, Supervision. AA: software, validation, numerical simulations. ASA: analysis, writing-original draft. SMH: methodology, writing-original draft.

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Correspondence to Parvaiz Ahmad Naik.

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The authors declare that they have no conflicts of interest to report regarding the present study.

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Tabassum, M.F., Farman, M., Naik, P.A. et al. Modeling and simulation of glucose insulin glucagon algorithm for artificial pancreas to control the diabetes mellitus. Netw Model Anal Health Inform Bioinforma 10, 42 (2021). https://doi.org/10.1007/s13721-021-00316-4

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  • DOI: https://doi.org/10.1007/s13721-021-00316-4

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