Krogh model
Krogh Model
The Krogh Model (pronounced: /krɔːɡ/), also known as the Krogh Cylinder, is a mathematical model used in the field of physiology to describe the oxygen supply to an organ or tissue. The model was first proposed by the Danish physiologist August Krogh in 1919.
Etymology
The Krogh Model is named after August Krogh, a Danish physiologist who won the Nobel Prize in Physiology or Medicine in 1920 for his discovery of the capillary motor regulating mechanism.
Description
The Krogh Model assumes that the tissue is cylindrical in shape and that oxygen is supplied to this tissue by a single capillary located at the center of the cylinder. The model further assumes that oxygen diffuses radially outward from the capillary into the surrounding tissue. The rate of oxygen consumption by the tissue is assumed to be constant and uniform throughout the tissue cylinder.
Mathematical Formulation
The mathematical formulation of the Krogh Model is based on Fick's law of diffusion, which describes how oxygen diffuses from areas of high concentration (the capillary) to areas of low concentration (the tissue). The model also incorporates the Michaelis-Menten kinetics, which describes the rate of enzymatic reactions, to account for the rate of oxygen consumption by the tissue.
Related Terms
See Also
External links
- Medical encyclopedia article on Krogh model
- Wikipedia's article - Krogh model
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