Analysis of blood sugar with an incomplete $\aleph$-function

	Analysis of blood sugar with an incomplete $\aleph$-function
Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 22 مرداد 1404 اصل مقاله (1.49 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.64151.2889
نویسنده
Manisha Meena^*
Department of Mathematics, Motilal Nehru College, University of Delhi, Delhi, India.
چکیده
Mathematical modeling plays a vital role in understanding complex medical and biological processes. In this study, we develop a mathematical model incorporating the incomplete $\aleph$-function to analyze glucose supply in human blood. The model provides a generalized framework to assess glucose dynamics under varying physiological conditions. Numerical simulations demonstrate the impact of key parameters on glucose distribution, revealing critical thresholds for maintaining optimal glucose levels. The findings offer valuable insights into glucose regulation mechanisms, with potential applications in diabetes management and metabolic health monitoring. The general results reveal several intriguing cases concerning the relevant parameters involved.
کلیدواژه‌ها
Sumudu Transform؛ Glucose Tolerance Test؛ Mellin-Barnes Type Integral؛ Incomplete $\aleph$-Function

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