Analytic bounds for solutions of a class of boundary value problems in physiology
A method of obtaining pointwise upper and lower bounds for the solutions of a general class of nonlinear boundary value problems is discussed. As a illustrative example, this method is shown to yield sharp polynomial approximations to the solution of the oxygen diffusion problem in spherical cells w...
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| Veröffentlicht in: | Mathematical biosciences 1988, Vol.90 (1), p.333-339 |
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| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A method of obtaining pointwise upper and lower bounds for the solutions of a general class of nonlinear boundary value problems is discussed. As a illustrative example, this method is shown to yield sharp polynomial approximations to the solution of the oxygen diffusion problem in spherical cells with oxygen uptake by Michaelis-Menten kinetics. |
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| ISSN: | 0025-5564 1879-3134 |
| DOI: | 10.1016/0025-5564(88)90073-9 |