Differential Equation Model on the Prevalence of Diabetic Neuropathy

P. Sankar¹ , M.S. Paulraj² , J. Jayanthi³ , M.G. Ragunathan⁴

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.320-323, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.320323

Online published on Aug 31, 2018

Copyright © P. Sankar, M.S. Paulraj, J. Jayanthi , M.G. Ragunathan . 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

582 Views    365 Downloads    81 Downloads

Abstract :
Diabetic neuropathy is the most common complication of diabetes mellitus, and can be related to Type1 as well as Type2 diabetes. This neurological impairment is not known or understood; hence the treatments are still empirical and not efficient as stated by the physicians. The purpose of this study is to discuss the population based Mathematical model of diabetic neuropathy patients. The study adopted in Ordinary Differential Equations which contains the percentage of diabetic patients with and without diabetic neuropathy. By appropriate definition of a parameter, the solution discussed the critical nature of percentage of diabetic patients with and without diabetic neuropathy is discussed for stability.

Key-Words / Index Term :
Diabetes, Diabetic Neuropathy, Classification, Ordinary Differential Equations.

References :
[1] Sandhya, Deepak Kumar, and Prerna Pandit; An Ordinary Differential Equation Model ofdiabetic population in NewDelhi. Indian Journal of Mathematics and Mathematical Sciences Vol. 7, No. 1, (June 2011): 45-50R.
[2] Sarah Wild, Gojka Roglic, Anders Green, Richard Sicree, and Hilary King, (2004),Global Prevalence of Diabetes, Estimates for the Year 2000 and Projections for 2030.Diabetes Care, 27, 1047-1053.
[3] A. Boutayeb, A.Chetouani, A. Achouyab, and E. H. Twizell, (2006), A Non-LinearPopulation Model of Diabetes Mellitus, J. Appl. Math. & Computing, 21(1), 127-139.
[4] Jitender Nagpal, and Abhishek Bhartia, (2006), Quality of Diabetes Care in the Middle-and High-Income Group Populace, Diabetes Care, 27, 1047-1053.
[5] Deepak Kumar, Sandhya, Anuj Kumar, and Prerna Pandit, (2009), A ComputationalModel for Diabetes Mellitus, Optimization-Journal of Research and Management, 39-43.