在葡萄糖图上研究 (k,Θ) -Hilfer分数差异和纳入系统
Lihong Zhang1, Xuehui Liu1, Guotao Wang1
1School of Mathematics and Computer Science, Shanxi Normal University, Taiyuan, Shanxi 030031, China.
Heliyon
|May 31, 2024
概括
这项研究引入了应用于葡萄糖分子图的新型分数计算方法,证明了分数微分方程和包含方程的存在和解决方案的独特性. 这些发现促进了使用先进的数学技术理解复杂的分子系统.
科学领域:
- 数学 数学 是一个数学.
- 化学 化学 化学
- 生物物理学的生物物理.
背景情况:
- 分数计算为复杂系统提供了先进的建模功能.
- 葡萄糖分子图表代表了复杂的生物结构.
- 了解边界值问题对于分子动力学至关重要.
研究的目的:
- 将 (k) - 希尔弗分数计算与葡萄糖分子图集成.
- 为了研究单值和多值 (k) -Hilfer分数边界值问题.
- 确定解决方案的存在,独特性和拓结构.
主要方法:
- 在葡萄糖分子图边缘上定义分数差异和包含系统.
- 用固定点定理来解决单值问题.
- 应用Leray-Schauder非线性替代和Covitz-Nadler固点定理在多值问题上.
主要成果:
- 对于单值问题的解决方案的存在和独特性已被证明.
- 对于多值问题 (凸和非凸) 获得的两个存在结果.
- 确定了解决方案集的拓结构.
结论:
- 这项工作开创了 (k) -Hilfer在葡萄糖图上的分数差异性包含.
- 开发的方法为分析分子系统提供了强大的框架.
- 实例证实了所提出的理论结果的可靠性.
更多相关视频
16:59Computer-assisted Large-scale Visualization and Quantification of Pancreatic Islet Mass, Size Distribution and Architecture
Published on: March 4, 2011
12.3K
13:35Structural Biology and Analytical Chemistry Approaches for Characterizing C-Glycoside Metabolic Enzymes in Human Gut Microbiota
Published on: May 23, 2025
307
相关概念视频
Glucose Transporters
22.7K
Glucose transporters facilitate the transport of glucose across the cell membrane. In addition to glucose, some glucose transporters can also aid the movement of other hexoses such as fructose, mannose, and galactose.
Facilitated diffusion-glucose transporters (GLUTs) are encoded by the solute-linked carrier (SLC) family 2, subfamily A gene family, or SLC2A. The 14 GLUT protein members are distributed into three classes:
Facilitated diffusion-glucose transporters (GLUTs) are encoded by the solute-linked carrier (SLC) family 2, subfamily A gene family, or SLC2A. The 14 GLUT protein members are distributed into three classes:
22.7K
Fischer Projections
13.2K
Learning to draw Fischer projections of molecules and understanding their relevance plays a crucial role in the visual depiction of organic molecules. A Fischer projection is a two-dimensional projection on a planar surface to simplify the three-dimensional wedge–dash representation of molecules. This is especially helpful in the case of molecules with multiple chiral centers that can be difficult to draw. Here, all the bonds of interest are represented as horizontal or vertical lines.
13.2K
SFG Algebra
116
In Signal Flow Graph (SFG) algebra, the value a node represents is determined by the sum of all signals entering that node. This summed value is then transmitted through every branch leaving the node, making the SFG a powerful tool for visualizing and analyzing control systems.
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
116
Hückel's Rule Diagram of π MOs: Frost Circle
4.4K
The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
A Frost circle is constructed by drawing a polygon whose number of edges is equal to the number of carbons of the given cyclic system, with one of the vertices pointing down. Then, a circle is drawn enclosing the polygon so...
4.4K
Frost Circles for Different Conjugated Systems
2.7K
The inscribed polygon method is consistent with Hückel’s 4n + 2 rule and helps to learn whether the given cyclic compound is aromatic or not. The compound is stable and aromatic if every bonding molecular orbital (MO) is completely filled with a pair of electrons. However, if the non-bonding or antibonding orbitals are filled with electrons, the compound is unstable and not aromatic. Consider the Frost circle diagrams for cycloalkenes containing 4 to 8 carbons.
2.7K
Glucose Absorption Into the Small Intestine
31.6K
Complex carbohydrates consumed cannot be absorbed into the small intestine in their original form. First, they must be hydrolyzed to a monosaccharide form such as glucose or galactose. These monosaccharides are then transported across the intestinal membrane and into the blood via transcellular transport. The intestinal epithelial cells allow the movement of these monosaccharides with a defined 'entry' through membrane transporter proteins present on their apical membrane and...
31.6K
