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Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics

✍ Scribed by N. Anderson; A.M. Arthurs

Publisher
Springer
Year
1985
Tongue
English
Weight
441 KB
Volume
47
Category
Article
ISSN
1522-9602

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✦ Synopsis

Point wise upper and lower bounds for the solution of a class of nonlinear diffusion problems with Michaelis-Menten kinetics are presented. Simple analytical bounding curves are obtained and for an illustrative case the calculated values bound the recent numerical solution of P.

πŸ“œ SIMILAR VOLUMES

Complementary variational principles for
Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
✍ N. Anderson; A.M. Arthurs πŸ“‚ Article πŸ“… 1980 πŸ› Springer 🌐 English βš– 146 KB

The theory of complementary variational principles is used to obtain maximum and minimum principles for diffusion problems with Michaelis-Menten kinetics. In an illustrative calculation we obtain an extremely accurate variational solution in good agreement with the numerical solution of .

Upper and lower bounds from the maximum
Upper and lower bounds from the maximum principle. Intracellular diffusion with michaelis-menten kinetics
✍ MΓ³nica C. Regalbuto; William Strieder; Arvind Varma πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 516 KB

Analytical bounding functions for diffusion problems with Michaelis-Menten kinetics were recently presented by Anderson and Arthurs, 1985 (Bull. math. Biol. 47, 145-153). Their method, successful to some extent for a small range of parameters, has the disadvantage of providing a weak upper bound. Th