scholarly journals Mathematical Modeling of the Blood Glucose Regulation System in Diabetes Mellitus Patients

2015 ◽  
Vol 70 (5) ◽  
pp. 549-560 ◽  
Author(s):  
V. A. Karpel’ev ◽  
Yu. I. Filippov ◽  
Yu. V. Tarasov ◽  
M. D. Boyarsky ◽  
A. Yu. Mayorov ◽  
...  

Interest in the mathematical modeling of the carbohydrate metabolism regulation system increases in recent years. This is associated with a «closed loop» insulin pump development (it controls an insulin infusion depending on the blood glucose level). To create an algorithm for the automatic control of insulin (and other hormones) infusion using an insulin pump it is necessary to accurately predict glycaemia level. So, the primary objective of mathematical modeling is to predict the blood glucose level changes, caused by the wide range of external factors. This review discusses the main mathematical models of blood glucose level control physiological system (simplified insulin–glucose system). The two major classes of models — empirical and theoretical — are described in detail. The ideal mathematical model of carbohydrate metabolism regulatory system is absent. However, the success in the field of blood glucose level control modeling and simulating is essential for the further development of diabetes prevention and treatment technologies, and creating an artificial pancreas in particular.

2020 ◽  
Vol 20 (08) ◽  
pp. 2050055
Author(s):  
URSULE ESSAMBA MAH ◽  
PAUL WOAFO

This paper deals with the numerical simulation of a model of blood glucose level control of a diabetic person using an electrodynamic transducer. Two mathematical models describing the dynamics of the couple glucose–insulin are used: the Bergman’s and the Cheng’s models. First, the adaptive control is applied on the dynamics of a reservoir opener by an electrodynamic transducer. Then it is applied on the two models of the glucose–insulin dynamics. It is found that the control of the reservoir opener and that of the glycemia of a diabetic patient are efficient for some values of the control parameters.


Pharmaceutics ◽  
2020 ◽  
Vol 12 (8) ◽  
pp. 710
Author(s):  
Rahela Zaman ◽  
Md. Emranul Karim ◽  
Iekhsan Othman ◽  
Anuar Zaini ◽  
Ezharul Hoque Chowdhury

Oral delivery is considered as the most preferred and yet most challenging mode of drug administration; especially a fragile and sensitive peptide like insulin that shows extremely low bioavailability through the gastro-intestinal (GIT) route. To address this problem, we have designed a novel drug delivery system (DDS) using precipitation-induced Barium (Ba) salt particles. The DDS can load insulin molecules and transport them through the GIT route. There were several in vitro simulation tests carried out to prove the efficiency of Ba salt particles as oral delivery candidates. All three Ba salt particles (BaSO4, BaSO3, and BaCO3) showed very good loading of insulin (>70% in all formulations) and a degree of resistance throughout a wide range of pHs from basic to acidic conditions when assessed by spectrophotometry. Particles and insulin-associated particles were morphologically assessed and characterized using FE-SEM and FT-IR. A set of tests were designed and carried out with mucin to predict whether the particles are potentially capable of overcoming one of the barriers for crossing intestinal epithelium. The mucin binding experiment demonstrated 60–100% of mucin adhesion to the three different particles. FT-IR identifies the characteristic peaks for mucin protein, particles, and particle-mucin complex re-confirming mucin adhesion to the particles. Finally, the effectiveness of nano-insulin was tested on streptozotocin (STZ) induced diabetic rats. A short acting human insulin analog, insulin aspart, was loaded into Ba salt particles at a dose of 100 IU/Kg prior to oral administration. Among the three formulations, insulin aspart-loaded BaSO4 and BaCO3 particles dramatically reduced the existing hyperglycemia. BaSO4 with loaded Insulin showed an onset of glucose-lowering action within 1 hr, with blood glucose level measured significantly lower compared to the 2nd and 3rd h (p < 0.05). Insulin-loaded BaCO3 particles showed a significant decrease in blood glucose level at 1–2 h, although the glucose level started to show a slight rise at 3rd h and by 4th h, it was back to baseline level. However, although BaSO3 particles with loaded insulin showed a trend of reduction in blood glucose level, the reduction was not found to be significant (p < 0.05) at any point in time. Therefore, oral formulations of insulin/BaSO4 and insulin/BaCO3 particles were observed as effective as native insulin aspart subcutaneous formulation in terms of onset and duration of action. Further investigation will be needed to reveal bioavailability and mechanism of action of this novel Nano-Insulin formulations.


RSC Advances ◽  
2016 ◽  
Vol 6 (82) ◽  
pp. 78570-78575 ◽  
Author(s):  
Eun-A Kim ◽  
Seung-Hong Lee ◽  
Ji-Hyeok Lee ◽  
Nalae Kang ◽  
Jae-Young Oh ◽  
...  

The effect of the administering of DK (dieckol) isolated from Ecklonia cava on the blood glucose level in hyperglycemia zebrafish. Thus, hyperglycemia zebrafish could be efficiently used to evaluate a wide range of anti-diabetic activities.


1951 ◽  
Vol 2 (2) ◽  
pp. 132 ◽  
Author(s):  
RL Reid

The response of sheep to intravenous insulin administration in doses of 0.5-10.0 units per kg. body weight has been studied in detail. The rate of fall of blood glucose following insulin injection is considerably slower than in non-ruminants. Increasing the dosage of insulin from 1 to 5 units per kg., and sometimes to 10 units per kg., does not increase the depth of hypoglycaemia, but merely increases its duration. The blood-glucose level following such doses of insulin falls, in most sheep, to a level of 5-10 mg. per cent. and remains relatively constant until it returns to normal. At these levels, severe hypoglycaemic signs were never observed, even when the hypoglycaemia was of several hours' duration. These results are compared with those obtained by others on cattle and goats and it is suggested that the response of sheep to insulin is similar in all respects to that shown by cattle and goats. From a consideration of the experimental results, it is suggested that the differences in response to insulin between ruminants and non-ruminants may be due to fundamental differences in endocrine balance which, in turn, are conditioned by differences in intermediary metabolism.


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