Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad

Adam Hassan Adoum; Mahamat Saleh Daoussa Haggar; Jean Marie Ntaganda

doi:10.53391/mmnsa.2022.020

EN

Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad

Abstract

In this paper, we focus on modelling the glucose-insulin system for the purpose of estimating glucagon, insulin, and glucose in the liver in the internal organs of the human body. A three-compartmental mathematical model is proposed. The model parameters are estimated using a nonlinear inverse optimization problem and data collected in Chad. In order to identify insulin and glucose in the liver for type 2 diabetic patients, the Sampling Importance Resampling (SIR) particle filtering algorithm is used and implemented through discretization of the developed mathematical model. The proposed mathematical model allows further investigation of the dynamic behavior of hepatic glucose, insulin, and glucagon in internal organs for type 2 diabetic patients. During periods of hyperglycemia (i.e., after meal ingestion), whereas insulin secretion is increased, glucagon secretion is reduced. The results are in agreement with empirical and clinical data and they are clinically consistent with physiological responses.

Keywords

Mathematical model, Type 2 diabetes patients, glucose, insulin, estimation, internal organs

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Details

Primary Language

English

Subjects

Bioinformatics and Computational Biology, Applied Mathematics

Journal Section

Research Article

Authors

Adam Hassan Adoum This is me
0000-0003-2670-2572
Chad

Mahamat Saleh Daoussa Haggar This is me
0000-0002-0863-2235
Chad

Jean Marie Ntaganda ^* This is me
0000-0003-2464-2377
Rwanda

Publication Date

December 30, 2022

Submission Date

November 15, 2022

Acceptance Date

December 27, 2022

Published in Issue

Year 2022 Volume: 2 Number: 4

DOI

https://doi.org/10.53391/mmnsa.2022.020

IZ

https://izlik.org/JA66KE46NB

APA

Adoum, A. H., Haggar, M. S. D., & Ntaganda, J. M. (2022). Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad. Mathematical Modelling and Numerical Simulation With Applications, 2(4), 244-251. https://doi.org/10.53391/mmnsa.2022.020

AMA

1.Adoum AH, Haggar MSD, Ntaganda JM. Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad. MMNSA. 2022;2(4):244-251. doi:10.53391/mmnsa.2022.020

Chicago

Adoum, Adam Hassan, Mahamat Saleh Daoussa Haggar, and Jean Marie Ntaganda. 2022. “Mathematical Modelling of a Glucose-Insulin System for Type 2 Diabetic Patients in Chad”. Mathematical Modelling and Numerical Simulation With Applications 2 (4): 244-51. https://doi.org/10.53391/mmnsa.2022.020.

EndNote

Adoum AH, Haggar MSD, Ntaganda JM (December 1, 2022) Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad. Mathematical Modelling and Numerical Simulation with Applications 2 4 244–251.

IEEE

[1]A. H. Adoum, M. S. D. Haggar, and J. M. Ntaganda, “Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad”, MMNSA, vol. 2, no. 4, pp. 244–251, Dec. 2022, doi: 10.53391/mmnsa.2022.020.

ISNAD

Adoum, Adam Hassan - Haggar, Mahamat Saleh Daoussa - Ntaganda, Jean Marie. “Mathematical Modelling of a Glucose-Insulin System for Type 2 Diabetic Patients in Chad”. Mathematical Modelling and Numerical Simulation with Applications 2/4 (December 1, 2022): 244-251. https://doi.org/10.53391/mmnsa.2022.020.

JAMA

1.Adoum AH, Haggar MSD, Ntaganda JM. Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad. MMNSA. 2022;2:244–251.

MLA

Adoum, Adam Hassan, et al. “Mathematical Modelling of a Glucose-Insulin System for Type 2 Diabetic Patients in Chad”. Mathematical Modelling and Numerical Simulation With Applications, vol. 2, no. 4, Dec. 2022, pp. 244-51, doi:10.53391/mmnsa.2022.020.

Vancouver

1.Adam Hassan Adoum, Mahamat Saleh Daoussa Haggar, Jean Marie Ntaganda. Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad. MMNSA. 2022 Dec. 1;2(4):244-51. doi:10.53391/mmnsa.2022.020