# Krogh length

The Krogh Length, ${\displaystyle \lambda _{K}}$, is the distance between capillaries at which nutrients diffuse to based on cellular consumption of the nutrients.[1][2]

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.

## 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