A comment on Lin's paper on nonlinear diffusion in biological systems

✍ Scribed by D.L.S. McElwain

• Publisher: Springer
• Year: 1981
• Tongue: English
• Weight: 134 KB
• Volume: 43
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(81)80012-2

✦ Synopsis

In his paper Lin (1979) outlines a method of examining diffusion into a sphere with a concentration-dependent diffusion coefficient and Michaelis-Menten uptake kinetics. Lin advocates the use of an orthogonal collocation method due to Villadsen and Stewart (1967) to derive an approximate solution to the time-dependent problem.

Some of tile curves given in the figures in Lin's paper appear to be in error. The profiles depend on four dimensionless parameters (see the original paper for a detailed explanation of these). Nowhere in the paper is the value that was used for the scaled Michaelis-Menten constant K,, given but presumably the same value was used throughout. That the results are