Computational Fuzzy Modelling Approach to Analyze Neuronal Calcium Dynamics With Intracellular Fluxes.

IF 1.8 4区生物学 Q4 BIOCHEMISTRY & MOLECULAR BIOLOGY

Cell Biochemistry and Biophysics Pub Date : 2024-10-07 DOI:10.1007/s12013-024-01541-0

Rituparna Bhattacharyya, Brajesh Kumar Jha

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引用次数: 0

Abstract

Mathematical neuroscience investigates how calcium distribution in nerve cells affects the neurological system. The interaction of numerous systems is necessary for the operation of several cellular processes in neuron cells, such as calcium, buffer, ER etc. The dynamics of interacting parameters give useful information on neural cell function. This work uses a mathematical model to analyze the dynamic interactions of buffer and ER inside neurons, considering their spatial properties. While buffers bind to calcium ions and lower their concentration, the endoplasmic reticulum (ER) serves as a reservoir, holding a significant number of free calcium ions. The uncertainty of initial values of calcium concentration poses challenges for researchers to develop calcium signaling models. In this article, we examined the exact solution and approximate solution of the mathematical model that was analyzed using the fuzzy undetermined coefficient approach. MATLAB is being used to perform the simulation. Endoplasmic reticulum and buffer have been found to have a substantial impact on calcium signaling. Fuzzy differential equation Provides a useful tool for evaluating complicated processes with imprecise values when ordinary differential equations perform not precisely. They allow for the examination of dynamic processes under fuzzy settings, which contributes to advances research.

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利用细胞内通量分析神经元钙动力学的计算模糊建模方法

数学神经科学研究神经细胞中的钙分布如何影响神经系统。神经细胞中的多个细胞过程（如钙、缓冲、ER 等）的运行需要众多系统的相互作用。相互作用参数的动态变化提供了神经细胞功能的有用信息。本研究利用数学模型分析神经元内缓冲剂和 ER 的动态相互作用，同时考虑到它们的空间特性。缓冲液与钙离子结合并降低钙离子浓度，而内质网（ER）则充当储库，储存大量游离钙离子。钙离子浓度初始值的不确定性给研究人员开发钙信号模型带来了挑战。在本文中，我们研究了数学模型的精确解和近似解，并使用模糊未定系数法进行了分析。仿真使用的是 MATLAB。研究发现，内质网和缓冲液对钙信号转导有重大影响。模糊微分方程在常微分方程无法精确执行时，模糊微分方程为评估具有不精确值的复杂过程提供了有用的工具。它们允许在模糊设置下检查动态过程，有助于推动研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Cell Biochemistry and Biophysics 生物-生化与分子生物学

CiteScore

4.40

自引率

0.00%

发文量

审稿时长

7.5 months

期刊介绍： Cell Biochemistry and Biophysics (CBB) aims to publish papers on the nature of the biochemical and biophysical mechanisms underlying the structure, control and function of cellular systems The reports should be within the framework of modern biochemistry and chemistry, biophysics and cell physiology, physics and engineering, molecular and structural biology. The relationship between molecular structure and function under investigation is emphasized. Examples of subject areas that CBB publishes are: · biochemical and biophysical aspects of cell structure and function; · interactions of cells and their molecular/macromolecular constituents; · innovative developments in genetic and biomolecular engineering; · computer-based analysis of tissues, cells, cell networks, organelles, and molecular/macromolecular assemblies; · photometric, spectroscopic, microscopic, mechanical, and electrical methodologies/techniques in analytical cytology, cytometry and innovative instrument design For articles that focus on computational aspects, authors should be clear about which docking and molecular dynamics algorithms or software packages are being used as well as details on the system parameterization, simulations conditions etc. In addition, docking calculations (virtual screening, QSAR, etc.) should be validated either by experimental studies or one or more reliable theoretical cross-validation methods.