相关实验视频
Updated: Jun 18, 2025

09:54
A Model to Simulate Clinically Relevant Hypoxia in Humans
Published on: December 22, 2016
8.8K
在低氧期间通过多个点从毛细管到组织的氧气扩散的数学建模,使用分数平衡方程与记忆
Vineet Srivastava1, Dharmendra Tripathi2, P K Srivastava3
1Rajkiya Engineering College, Azamgarh.
Critical reviews in biomedical engineering
|August 2, 2024
概括
这项研究引入了一种新的数学模型,用于从毛细血管扩散氧气,这对于理解缺氧至关重要. 该模型显示氧气度沿毛细血管长度下降,扩散仅限于接近组织.
科学领域:
- 生物医学工程 生物医学工程
- 数学生物学 数学生物学
- 生理学 生理学 生理学
背景情况:
- 临床研究往往研究氧气从毛细血管扩散到组织,由像缺氧这样的条件驱动.
- 对这种现象的分析和数值研究较少见.
- 现有的模型可能无法完全捕捉多点扩散动态.
研究的目的:
- 开发一种新的数学模型,用于从毛细血管的多点氧气扩散.
- 用严格的分析方法来补充现有的生理学研究.
- 分析氧气度的空间和时间变化.
主要方法:
- 开发了一个使用记忆平衡方程的分数动态系统.
- 在稳定性分析中应用了Routh-Hurwitz稳定性标准.
- 使用亨克尔转换获得的分析解决方案.
主要成果:
- 氧气扩散沿毛细血管长度下降,毛细血管入口附近的度更高.
- 有效的扩散半径随着毛细血管的距离而减少.
- 模型模拟显示与更简单的扩散模型有密切的相关性.
结论:
- 提出的分数动态模型准确地描述了多点氧气扩散.
- 这些发现提供了关于组织中氧气运输限制的见解.
- 该模型作为先进的计算流体动力学模拟的基准.
相关概念视频
Gas Exchange and Transport
69.8K
Gas exchange, the intake of molecular oxygen (O2) from the environment and the outflow of carbon dioxide (CO2) into the environment, is necessary for cellular function. Gas exchange during respiration occurs largely via the movement of gas molecules along pressure gradients. Gas travels from areas of higher partial pressure to areas of lower partial pressure. In mammals, gas exchange occurs in the alveoli of the lungs, which are adjacent to capillaries and share a membrane with them.
69.8K
Assessment of Diffusion and Perfusion
963
Understanding and evaluating diffusion and perfusion is critical in assessing a patient's respiratory and circulatory health. These processes play key roles in maintaining the body's internal environment, ensuring that tissues receive adequate oxygen while waste products are efficiently removed.
The Role of Diffusion in Respiration
Diffusion is the process by which molecules move from an area of higher concentration to an area of lower concentration. In the respiratory system, this...
The Role of Diffusion in Respiration
Diffusion is the process by which molecules move from an area of higher concentration to an area of lower concentration. In the respiratory system, this...
963
Oxygen Transport in the Blood
2.6K
Hemoglobin (Hb) is a crucial molecule in the human body, consisting of four polypeptide chains, each bound to an iron-containing heme group. This unique structure enables hemoglobin to bind to oxygen, with each molecule capable of combining with four molecules of oxygen, leading to rapid and reversible oxygen loading. When fully loaded with oxygen, it is called oxyhemoglobin, while hemoglobin that has released oxygen is called reduced hemoglobin or deoxyhemoglobin. As hemoglobin binds oxygen,...
2.6K
Physiological Control of Respiration
2.0K
Introduction
Breathing, a seemingly passive process, is regulated by the respiratory center in the brainstem. This center coordinates the involuntary control of respirations, which means it occurs without conscious effort, ensuring a smooth and uninterrupted pattern.
Regulation of Ventilation
The body maintains ventilation by monitoring levels of carbon dioxide (CO2), oxygen (O2), and hydrogen ion concentration (pH) in the arterial blood. Among these factors, the level of CO2 plays a crucial...
Breathing, a seemingly passive process, is regulated by the respiratory center in the brainstem. This center coordinates the involuntary control of respirations, which means it occurs without conscious effort, ensuring a smooth and uninterrupted pattern.
Regulation of Ventilation
The body maintains ventilation by monitoring levels of carbon dioxide (CO2), oxygen (O2), and hydrogen ion concentration (pH) in the arterial blood. Among these factors, the level of CO2 plays a crucial...
2.0K
Acute Respiratory Failure-II
192
Type I Respiratory Failure, or hypoxemic respiratory failure, occurs when the partial pressure of oxygen (PaO2) in arterial blood falls below 60 mmHg while breathing room air without a corresponding increase in arterial carbon dioxide levels (PaCO2). This condition highlights a significant impairment in the lungs' capacity to oxygenate the blood.
The underlying physiological abnormalities that contribute to hypoxemic respiratory failure include:
The underlying physiological abnormalities that contribute to hypoxemic respiratory failure include:
192
Respiration and Gaseous Exchange
1.5K
The intricate interplay between the cardiovascular and respiratory systems is crucial for efficiently transporting respiratory gases throughout the body. Let us explore the cardiovascular system's multifaceted functions, emphasizing its pivotal role in gas exchange.
Respiration involves the exchange of gases, especially oxygen (O2) and carbon dioxide (CO2), between the alveoli and body cells, a process facilitated by blood circulation. As a result, the cardiovascular system, which involves...
Respiration involves the exchange of gases, especially oxygen (O2) and carbon dioxide (CO2), between the alveoli and body cells, a process facilitated by blood circulation. As a result, the cardiovascular system, which involves...
1.5K

