doi: 10.1007/BF00280581.
A new mathematical approach for solving carrier-facilitated steady-state diffusion problems
- PMID: 469417
- DOI: 10.1007/BF00280581
Item in Clipboard
A new mathematical approach for solving carrier-facilitated steady-state diffusion problems
J Math Biol.
.
Abstract
A new mathematical treatment is presented which simplifies the solution of carrier-diffusion problems. The method is generally applicable and is illustrated and tested for a specific, commonly occurring situation: facilitated diffusion of a single substrate through flat layers. Results predicted for total substrate flux are in excellent agreement with control computer calculations. The method also can be used to obtain concentration profiles for each species; here the results are good only if conditions at the boundaries are predicted correctly.
Similar articles
-
Carrier facilitated diffusion.J Math Biol. 1985;21(3):243-71. doi: 10.1007/BF00276225. J Math Biol. 1985. PMID: 4031693
-
A simple experimental approach to the determination of carrier transport parameters for unlabeled substrate analogs.Biochim Biophys Acta. 1979 Oct 5;556(3):524-32. doi: 10.1016/0005-2736(79)90138-x. Biochim Biophys Acta. 1979. PMID: 486475
-
Mechanisms for the facilitated diffusion of substrates across cell membranes.Biochemistry. 1991 Apr 23;30(16):3898-906. doi: 10.1021/bi00230a014. Biochemistry. 1991. PMID: 2018761
-
Modeling membrane transport.Adv Food Nutr Res. 1996;40:243-62. doi: 10.1016/s1043-4526(08)60033-9. Adv Food Nutr Res. 1996. PMID: 8858819 Review.
-
General descriptions of passive transport of neutral solute and solvent through membranes.Prog Biophys Mol Biol. 1978;34(3):197-217. doi: 10.1016/0079-6107(79)90018-x. Prog Biophys Mol Biol. 1978. PMID: 375302 Review. No abstract available.
Cited by
-
Models for Facilitated Transport Membranes: A Review.Membranes (Basel). 2019 Feb 2;9(2):26. doi: 10.3390/membranes9020026. Membranes (Basel). 2019. PMID: 30717381 Free PMC article. Review.
-
Nonequilibrium facilitated transport of carbon dioxide in bicarbonate and bovine albumin solutions.Ann Biomed Eng. 1986;14(6):493-511. doi: 10.1007/BF02484468. Ann Biomed Eng. 1986. PMID: 3103500
-
Modeling pO(2) distributions in the bone marrow hematopoietic compartment. II. Modified Kroghian models.Biophys J. 2001 Aug;81(2):685-96. doi: 10.1016/S0006-3495(01)75733-5. Biophys J. 2001. PMID: 11463617 Free PMC article.
-
Theory of oxygen transport to tissue.Crit Rev Biomed Eng. 1989;17(3):257-321. Crit Rev Biomed Eng. 1989. PMID: 2673661 Free PMC article. Review.