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
Nonlinear diffusion in biological systems
β Scribed by S.H. Lin
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 482 KB
- Volume
- 41
- Category
- Article
- ISSN
- 1522-9602
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β¦ Synopsis
Diffusion problem with variable diffusion coefficient in a spherical biological system is investigated. Also included in this study is the biological reaction of the Michaelis-Menten type. The problem formulated consists of a highly nonlinear differential equation which, however, can be efficiently solved by the orthogonal collocation method on a digital computer. The effects of the dimensionless governing parameters on the transient and steady state concentration responses are parametrically examined for the diffusion system with and without biological reaction.
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