Mathematical Studies of Transport and Exchange in Microcirculatory Physiology

这项研究的目的是开发一种数学理论来描述物质在毛细血管壁上的交换以及这些物质在周围组织中的运动。循环系统的目的是将氧气和营养物质输送到身体的每个细胞，并清除细胞产生的二氧化碳和废物。这些物质通过人们熟知的物理过程穿过毛细血管壁，并通过各种不同的运输机制穿过周围组织，从血液到细胞，或从细胞到血液。此外，有大量的水穿过毛细血管壁从血液进入组织或从组织进入血液；这种液体运动与体内的液体平衡和肿胀密切相关。这项提议的目标是根据基本的物理原理从数学上描述这些复杂的过程。一种预测性理论将被开发出来，以表明身体在广泛的正常和病理条件下的功能。这样的理论将提供对潜在生理学的更深层次的理解。此外，由于它是预测性的，它将提供补充和扩展实验技术的信息，并将导致减少完全依赖动物实验进行生理研究的需要。

The objective of this research is to develop a mathematical theory to describe the exchange of substances across the walls of blood capillaries and the movement of these substances through the surrounding tissue. The purpose of the circulatory system is to transport oxygen and nutrients to every cell of the body and to remove carbon dioxide and waste products that the cells produce. Such substances cross the capillary wall by fairly well understood physical processes, and they move through the surrounding tissue either from the blood to the cells or from the cells to the blood by a variety of different transport mechanisms. In addition, there is a large movement of water across the capillary walls from the blood into the tissue or from the tissue into the blood; such fluid movement is critically related to fluid balance and swelling within the body. The objective of this proposal is to mathematically describe these complex processes in terms of the underlying basic physical principles. A predictive theory will be developed to indicate how the body functions under a broad range of normal and pathological conditions. Such a theory will provide deeper understanding of the underlying physiology. In addition, because it is predictive, it will provide information that supplements and extends experimental techniques, and will lead to a decreased need for relying exclusively on animal experimentation for physiological research.