Krogh length

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The Krogh Length, \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:

\lambda_K = \sqrt{D_s c_o/R}

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.


  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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