TranspMM.2sided.Comp2
Model number: 0017
A two compartment Michaelis-Menten two-sided transporter model. Two versions are included:
1. Cis-side driven: Concentration A1 determines the fractional saturation, PS/PSmax.
2. Cis-trans driven: Governing concentration is the average of B1 and B2.
Detailed Description
This model has two versions, one with solute A, and the other with solute B. This is a facilitated transporter kinetic model assuming instantaneous solute binding do a transporter of Michaelis-Menten type, with a single site available from either side of the membrane. The primary focus is on A, which has only a single side available to it. However, the version with B has a two sided viewpoint, solute B can bind to either side of the transporter site. Both A and B are plotted, showing the difference in concentrations when either side of the transporter can be bound to. As a reference model for solute B, the governing concentration is the average of B1 and B2.
Relevant Equations
One-Sided Version
Where V1 and V2 are the volumes of the two compartments, A1 and A2 are the concentrations respectively, Vmax is the max flux at 100% saturation, Km is the equilibrium dissociation constant, G2 is the gulosity of V2, and PS (Permeability-Surface area product) is the single sided exchange rate between the compartments. PS is calculated using only the concentration A1(t).
Two-Sided Version
PS2 is calculated using the concentrations B1 and B2.
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References
Stein WD. The Movement of Molecules across Cell Membranes. New York: Academic Press, 1967.
Stein WD. Transport and Diffusion across Cell Membranes. Orlando, Florida: Academic Press Inc., 1986.
Wilbrandt W and Rosenberg T. The concept of carrier transport and its corollaries in pharmacology. Pharmacol Rev 13: 109-183, 1961.
Schwartz LM, Bukowski TR, Ploger JD, and Bassingthwaighte JB. Endothelial adenosin transporter characterization in perfused guinea pig hearts. Am J Physiol Heart Circ Physiol 279: H1502-H1511, 2000.
Related Models
- Two sided 2 compartment with flow.
- Two sided 2 region with flow.
- Two sided 3 region, 2 transporters with flow.
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Model History
Get Model history in CVS.Copyright (C) 1999-2008 University of Washington. From the National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061. Academic use is unrestricted. Software may be copied so long as this copyright notice is included. This software was developed with support from NIH grant HL073598. Please cite this grant in any publication for which this software is used and send one reprint to the address given above.
Model development and archiving support at physiome.org provided by the following grants: NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ, 4/1/07-3/31/11; NSF BES-0506477 Adaptive Multi-Scale Model Simulation, 8/15/05-7/31/08; NIH/NHLBI R01 HL073598 Core 3: 3D Imaging and Computer Modeling of the Respiratory Tract, 9/1/04-8/31/09; as well as prior support from NIH/NCRR P41 RR01243 Simulation Resource in Circulatory Mass Transport and Exchange, 12/1/1980-11/30/01 and NIH/NIBIB R01 EB001973 JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.
