Full Paper View Go Back

Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus

Kanee Goodfaith Leyira1

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.4 , pp.44-49, Aug-2022


Online published on Aug 31, 2022


Copyright © Kanee Goodfaith Leyira . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library


XML View     PDF Download

How to Cite this Paper

  • IEEE Citation
  • MLA Citation
  • APA Citation
  • BibTex Citation
  • RIS Citation

IEEE Style Citation: Kanee Goodfaith Leyira, “Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.9, Issue.4, pp.44-49, 2022.

MLA Style Citation: Kanee Goodfaith Leyira "Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus." International Journal of Scientific Research in Mathematical and Statistical Sciences 9.4 (2022): 44-49.

APA Style Citation: Kanee Goodfaith Leyira, (2022). Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus. International Journal of Scientific Research in Mathematical and Statistical Sciences, 9(4), 44-49.

BibTex Style Citation:
@article{Leyira_2022,
author = {Kanee Goodfaith Leyira},
title = {Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2022},
volume = {9},
Issue = {4},
month = {8},
year = {2022},
issn = {2347-2693},
pages = {44-49},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2903},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=2903
TI - Mathematical Modeling of the Causes, Complications and Solutions of Diabetes Mellitus
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Kanee Goodfaith Leyira
PY - 2022
DA - 2022/08/31
PB - IJCSE, Indore, INDIA
SP - 44-49
IS - 4
VL - 9
SN - 2347-2693
ER -

174 Views    156 Downloads    45 Downloads
  
  

Abstract :
This research study focused on studying the causes, complications and possible solutions of Diabetes Mellitus through mathematical modeling and computing simulation in order to evaluate the medical condition of diabetic patients. And to find suitable and optimal methods to control and manage blood glucose levels in the body. The study examined various types of diabetes mellitus and different clinical categories. We improved and modified on the existing mathematical models for diabetes mellitus.

Key-Words / Index Term :
Diabetes Mellitus, Complications, Glucose, Insulin, Mathematical Modeling, Metabolism, Population

References :
[1] World Health Organisation, ‘’Definition and diagnosis of diabetes mellitus and intermediate hyperglycemia’’, WHO, Geneva, 2016.
[2] A. Kouidere, A. Labzai, H. Ferjouchia, O. Balatif, M. Rachik, ‘’A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors’, Hindawi Journal of Applied Mathematics, pp 12 Volume 2020.
[3] W. Banzi, I. Kambutse, V. Dusabejambo, E. Rutaganda, F. Minani, J. Niyobuhungiro, L. Mpinganzima, J.M. Ntagand, ‘’Mathematical Modelling of Glucose-Insulin System and Test of Abnormalities of Type 2 Diabetic Patients’’ Hindawi International Journal of Mathematics and Mathematical Sciences, pp 12 Volume 2021.
[4] ADA (American Diabetes Association), “Diagnosis and classification of diabetes mellitus,” Diabetes Care, vol. 32, no. 1, pp. S62–S69, 2009.
[5] I. MacFarlane, M. Bliss, and J. Jackson, ‘’History of Diabetes’’, Textbook of Diabetes, 2nd edition, 1997.
[6] R Yadav, Maya, ‘’A Mathematical Model For The Study Of Diabetes Mellitus’’, Journal of Physics: Conference Series, 2020.
[7] K.R.D. Anuradha, ‘’A Mathematical Model of Glucose-Insulin regulation under the influence of externally ingested glucose (G-I-E model)’’, International Journal of Mathematics and Statistics Invention 4(5) pp 54-58, 2016.
[8] A. A. Jan, ‘’Causes, Complications and Management of Diabetes Mellitus’’ Chronicle Journal of Food and Nutrition, 1[1] pp 002, 2017.
[9] H. Al Ali, A. Daneshkhah, A. Boutayeb, and Z. Mukandavire, ‘’Examining Type 1 Diabetes Mathematical Models Using Experimental Data’’, International Journal of Environmental Research and Public Health, 19 (737), 2022.
[10] S. Peric and T.M. Stulnig, ‘’Diabetes and COVID-19’’, Wien Klin Wochenschr, 132, pp 356–361 2020.
[11] A.K. Singh, R. Gupta, A Ghosh, A. Misra, ‘’Diabetes in COVID-19: Prevalence, pathophysiology, prognosis and practical considerations’’, Diabetes Metabolism Syndrome Clinical Research Review, 14, pp 303–310, 2020.
[12] O. E. Ifeanyi, ‘’An update on Diabetes Mellitus’’, International Journal of Current Research in Medical Sciences 4(6), pp 71-81, 2018.
[13] T. Marius, I. Mihai, R. Mariana, A. Dragos, I. Catalin, ‘’Blood Glucose Control Using Differential Equations Systems for Patients with Diabetes Type 1,’’ World Wide Journal of Multidisciplinary Research and Development, 5(1), pp 54-59, 2019.
[14] N. Fitriyah, M. W. Musthofa, P. P. Rahayu, ‘’Mathematics Model of Diabetes Mellitus Illness without Genetic Factors with Treatment’’ Kaunia Journal, vol xvii, No 1, pp 21-25, 2021.
[15] P. Venkatesha, S. Abilash, A. S. Shreyakar, A. Chandran, ‘’Mathematical Modelling of Blood Glucose Level by Glucose Tolerance Test’’, International Journal of Science, Engineering and Management (IJSEM) Vol 2, Issue 11, 2017.
[16] K.W. Bunonyo, T.Y. Bunonyo, ‘’Mathematical Modeling of The Effect of Epinephrine And Insulin On Blood Glucose Concentration’’ International Journal of Mathematics Trends and Technology Volume 67 Issue 8, pp 125-132, 2021.
[17] R. Mishra1, K. Baishnabi, L. Sahu, J.S. A. Bania, ‘’Multilayer Perceptron Model- A Novel Methodology towards the Advance Determination of Diabetic Retinal Infirmity in Kids’’ International Journal of Scientific Research in Multidisciplinary Studies Vol.6, Issue.9, pp.77-85, 2020.
[18] N. Y. Gharaibeh, “A novel approach for detection of microaneurysms in diabetic retinopathy disease from retinal fundus images,” Journal Computer and Information Science, Vol. 10, No. 1, 2017
[19] T. Subhramaniyan, P. Sankar, P. Paulraj, M. G. Ragunathan, J. Jayanthi, ‘’Algebraic Approach to predict Diabetic Retinopathy: Evidence from Diabetes database’’ International Journal of Scientific Research in, Mathematical and Statistical Sciences Volume-5, Issue-5, pp.164-168, 2018.
[20] World Health Organization, ‘’Improving diabetes outcomes for all, a hundred years on from the discovery of insulin’’, report of the Global Diabetes Summit. Geneva: 2021.
[21] J. Hussain, Denghmingliani Zadeng. ‘’A mathematical model of glucose-insulin interaction’’, Science Vision, Volume 14 Issue No 2, 2014.
[22] J. Hussain, Denghmingliani Zadeng, ‘’Mathematical modeling on the effect of exercise on the interactions of glucose and insulin’’ International Journal of Applied Engineering Research, ISSN 0973-4562, Volume 9, Number 22, pp. 16211- 16221, 2014.
[23] I. I. Mohammed, I. I. Adamu, S. J. Barka, ‘’Mathematical Model for the Dynamics of Glucose, Insulin and ?-Cell Mass under the Effect of Trauma, Excitement and Stress’’, Modeling and Numerical Simulation of Material Science, 9, pp 71-96, 2019.
[24] "Evolutionary Computation Access on Incremental Map Reduce for Mining Large Scale Data”, International Journal of Recent Technology and Engineering, 2019.
[25] Sonia Akter, M.D. Sirajul Islam, M.D Haider Ali Biswas, Sajib Mandal. "Mathematical Model Applied to Monitoring the Glucose-Insulin Interaction inside the Body of Diabetes Patients”, GANIT: Journal of Bangladesh Mathematical Society, 2020.
[26] Isa Ibrahim Mohammed, Ibrahim Isa Adamu, Seni James Barka. "Mathematical Model for the Dynamics of Glucose, Insulin and ?-Cell Mass under the Effect of Trauma, Excitement and Stress”, Modeling and Numerical Simulation of Material Science, 2019.
[27] R Yadav, Maya. "A Mathematical Model For The Study Of Diabetes Mellitus”, Journal of Physics: Conference Series, 2020.

Authorization Required

 

You do not have rights to view the full text article.
Please contact administration for subscription to Journal or individual article.
Mail us at  support@isroset.org or view contact page for more details.

Go to Navigation