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The Krogh Length, ${\displaystyle \lambda _{K}}$, is the distance to which nutrients diffuse between capillaries, based on cellular consumption of the nutrients.

It can be described as:

${\displaystyle \lambda _{K}={\sqrt {D_{s}c_{o}/R}}}$

where ${\displaystyle D_{s}}$ is the diffusion constant of the solute in the substrate, ${\displaystyle c_{o}}$ is the concentration in the channel, and ${\displaystyle R}$ is the consumption by the cells. Units are in terms of length.

See also

• August Krogh
• Biomedical engineering
• Capillaries
• Diffusion
• Biot number
• Peclet number

References

1. Fournier, R. L. Basic Transport Phenomena in Biomedical Engineering 1st edn (Taylor & Francis, London, 1999).
2. Choi et al. Microfluidic scaffolds for tissue engineering. Nature Materials (2007) vol. 6 pp. 908-915

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