Analyzing Fuzzy Boundary Value Problems: A Study on the Influence of Mitochondria and ER Fluxes on Calcium Ions in Neuron Cellspreprint
Аннотация: Abstract Cytosolic-free calcium ions play an important role in various physical and physiological processes. A vital component of neural signaling is the free calcium ion concentration often known as the second messenger. There are many parameters that effect the cytosolic free calcium concentration like buffer, voltage-gated ion channels, Endoplasmic reticulum, Mitochondria, etc. The endoplasmic reticulum (ER) serves as a repository of free calcium ions and contains a significant quantity of calcium. Mitochondria are small organelles located within the nervous system that are involved in processes within cells such as calcium homeostasis management, energy generation, response to stress, and cell demise pathways. Till date, the researchers studied such physiological processes using a deterministic way. In this work, we, have analyzed such problems considering the uncertainty of different parameters using a Fuzzy environment. A mathematical model with fuzzy boundary values has been developed to study the effect of Mitochondria and ER fluxes on free Calcium ions. The intended findings are displayed utilizing the physiological understanding that amyloid beta plaques and tangles of neurofibrillary fibers have been identified as the two main causes of AD. The key conclusion of the work is the investigation of Ca 2+ for healthy and cells affected by Alzheimer's disease, which may aid in study of such processes for computational scientists and medical practitioners. In this paper, we used a strategy that relies on the characteristics of linear transformation. Additionally demonstrated that if a similar precise problem has a novel solution, it also solves the fuzziness of the problem. Furthermore, the comparison between the analytical approach and the generalized hukuhara derivative approach is shown here, which illustrates the benefits of the analytical approach. The simulation is carried out in MATLAB.
Год издания: 2023
Авторы: Rituparna Bhattacharyya, Brajesh Kumar Jha
Издательство: Research Square (United States)
Источник: Research Square (Research Square)
Ключевые слова: Fuzzy Systems and Optimization, Multi-Criteria Decision Making, Optimization and Mathematical Programming
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