ISSN 1000-6818CN 11-1892/O6CODEN WHXUEU
Acta Phys Chim Sin >> 2010,Vol.26>> Issue(11)>> 2857-2864     doi: 10.3866/PKU.WHXB20101129         中文摘要
Simple Chemical Model for Facilitated Transport with an Application to Wyman-Murray Facilitated Diffusion
COLE Christine Lind, QIAN Hong
Department of Applied Mathematics, University of Washington, Seattle, WA 98195, USA
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A simple chemical kinetic model is developed which describes the behavior of small ligands that can bind reversibly with large carrier molecules with slower intrinsic rates of transport. Under certain conditions, which we describe, the presence of the slower carriers in fact enhances the transport of the ligand. This is the chemical version of Wyman-Murray's facilitated diffusion. The simple model illuminates the driven nature of the enhancement of the transport by the carrier molecules: we show that the facilitated transport depends crucially on a“grand canonical” setting in which the free ligand concentrations are kept constant in the presence of the facilitating protein, in contrast to a canonical setting with constant total ligand concentrations. Results from the simple model are compared to previous experimental and theoretical results for Wyman-Murray facilitated diffusion of oxygen and carbon monoxide in muscle. A relation is established between the association-dissociation rates and the down-stream ligand concentration, or back pressure for oxygen, required for the facilitation effect to occur.


Keywords: Facilitated diffusion   Transport   Chemical kinetic model   Grand canonical ensemble  
Received: 2010-07-30 Accepted: 2010-09-13 Publication Date (Web): 2010-10-11
Corresponding Authors: COLE Christine Lind, QIAN Hong Email:,

Fund: The project was supported in part by NSF grants, USA(DMS9810726, DGE0338322AM07).

Cite this article: COLE Christine Lind, QIAN Hong. Simple Chemical Model for Facilitated Transport with an Application to Wyman-Murray Facilitated Diffusion[J]. Acta Phys. -Chim. Sin., 2010,26 (11): 2857-2864.    doi: 10.3866/PKU.WHXB20101129

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