Mathematical Studies of Transport and Exchange in Microcirculatory Physiology

这项研究的目的是发展一种数学理论， 描述了物质在血液中的交换 毛细血管和这些物质通过周围环境的运动 组织. 循环系统的作用是输送氧气 和营养物质到身体的每一个细胞，并消除二氧化碳， 细胞产生的废物。 这些物质通过 毛细血管壁通过相当好理解的物理过程，他们 通过周围的组织从血液到细胞 或者通过各种不同的运输从细胞到血液 机制等 此外，有一个大的运动的水跨越 毛细血管壁从血液进入组织或从组织进入 血液;这种流体运动与流体平衡密切相关 以及体内的肿胀。 这个建议的目的是数学描述这些 复杂的物理过程。 一种预测理论将被发展出来， 在广泛的正常和病理条件下。 这样的 理论将提供对潜在生理学的更深入理解。 此外，由于它是预测性的，它将提供信息， 补充和扩展实验技术，并将导致一个 减少了完全依赖动物实验的需要， 生理学研究

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.