Krogh length
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The Krogh Length, \lambda_K, is the distance between
capillaries A capillary is a small blood vessel from 5 to 10 micrometres (μm) in diameter. Capillaries are composed of only the tunica intima, consisting of a thin wall of simple squamous endothelial cells. They are the smallest blood vessels in the body: ...
at which nutrients
diffuse Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemical p ...
to based on cellular consumption of the nutrients.Choi et al. Microfluidic scaffolds for tissue engineering. Nature Materials (2007) vol. 6 pp. 908-915
/ref> It can be described as: \lambda_K = \sqrt where D_s is the diffusion constant of the solute in the substrate, c_o is the concentration in the channel, and R is the consumption by the cells. Units are in terms of length.{{cn, date=March 2021


See also

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August Krogh Schack August Steenberg Krogh (15 November 1874 – 13 September 1949) was a Danish professor at the department of zoophysiology at the University of Copenhagen from 1916 to 1945. He contributed a number of fundamental discoveries within severa ...
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Biomedical engineering Biomedical engineering (BME) or medical engineering is the application of engineering principles and design concepts to medicine and biology for healthcare purposes (e.g., diagnostic or therapeutic). BME is also traditionally logical sciences ...
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Capillaries A capillary is a small blood vessel from 5 to 10 micrometres (μm) in diameter. Capillaries are composed of only the tunica intima, consisting of a thin wall of simple squamous endothelial cells. They are the smallest blood vessels in the body: ...
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Diffusion Diffusion is the net movement of anything (for example, atoms, ions, molecules, energy) generally from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in Gibbs free energy or chemica ...
* Biot number * Peclet number


References

Cardiovascular physiology Biomedical engineering Fluid mechanics