𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Nonlinear diffusion in biological systems

✍ Scribed by S.H. Lin


Publisher
Springer
Year
1979
Tongue
English
Weight
482 KB
Volume
41
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

✦ 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.


πŸ“œ SIMILAR VOLUMES


A comment on Lin's paper on nonlinear di
✍ D.L.S. McElwain πŸ“‚ Article πŸ“… 1981 πŸ› Springer 🌐 English βš– 134 KB

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 and particle product
✍ Georg Wolschin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 188 KB

The short parton production phase in high-energy heavy-ion collisions is treated analytically as a nonlinear diffusion process. The initial buildup of the rapidity density distributions of produced charged hadrons within Ο„p 0.25 fm/c occurs in three sources during the colored partonic phase. In a tw

Measurement of water motion (apparent di
✍ Neil, Jeffrey J. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 243 KB πŸ‘ 2 views

This work describes the basics of diffusion measurement in biological systems. The first portion is dedicated to providing an understandable, classical-mechanical description of the Stejskal ᎐ Tanner pulse sequence to give the reader an intuitive understanding of the measurement. This is followed by