TY  - JOUR
T1  - Mathematical modelling of a glucose-insulin system for type 2 diabetic patients in Chad
AU  - Ntaganda, Jean Marie
AU  - Adoum, Adam Hassan
AU  - Haggar, Mahamat Saleh Daoussa
PY  - 2022
DA  - December
DO  - 10.53391/mmnsa.2022.020
JF  - Mathematical Modelling and Numerical Simulation with Applications
JO  - MMNSA
PB  - Mehmet YAVUZ
WT  - DergiPark
SN  - 2791-8564
SP  - 244
EP  - 251
VL  - 2
IS  - 4
LA  - en
AB  - 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.
KW  - Mathematical model
KW  - Type 2 diabetes patients
KW  - glucose
KW  - insulin
KW  - estimation
KW  - internal organs
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UR  - https://doi.org/10.53391/mmnsa.2022.020
L1  - https://dergipark.org.tr/en/download/article-file/3056808
ER  -