MODEL NUMBER: 0018 MODEL NAME: TranspMM.2sided.Comp2F SHORT DESCRIPTION: Comparison of 1-sided and 2 sided Michaelis-Menten transporters in a two compartment model with flow. DIAGRAMS: A 1 sided transporter for solute A. +----------------+ |V1 A1(t) | Flow*Ain ----> ---->Flow*A1 | PS | PS = PSmax/(1 + A1/Km) +-------|--------+ | v | | A2(t) G2(t)| |V2 | +----------------+ A 2 sided transporter for solute B. +----------------+ |V1 B1(t) | Flow*Ain ----> ---->Flow*A1 | PS | PS = PSmax/(1 + B1/Km + B2/Km) +-------|--------+ | v | | B2(t) G2(t)| |V2 | +----------------+ DETAILED DESCRIPTION: Two types of a saturable Michaelis-Menten transporter are considered in this two compartment model with flow--a one sided transporter for solute A and a two-sided transporter for solute B. The model for solute A is cis- side driven. Concentration of A in V1, A1, determines the fractional saturation, PSa/PSmax, where PSmax is Vmax/Km, and PSa = PSmax/(1 + A1/Km). The model for solute B is cis-trans driven. Concentration of B in both V1 and V2, B1 and B2 respectively, determine the fractional saturation, where PSmax is Vmax/Km and PSb = PSmax/(1 + B1/Km + B2/Km). SHORTCOMINGS/GENERAL COMMENTS: - Specific inadequacies or next level steps KEY WORDS: Compartment, Michaelis-Menten, MM, transporter, 1 sided, 2 sided, initial velocity REFERENCES: Klingenberg M. Membrane protein oligomeric structure and transport function. Nature 290: 449-454, 1981. 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. REVISION HISTORY: Original Author : JBB Date: Nov/08 Revised by : GMR Date: June/2010 Revision: REvised to standard format COPYRIGHT AND REQUEST FOR ACKNOWLEDGMENT OF USE: Copyright (C) 1999-2009 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 an email with the citation and, if possible, a PDF file of the paper to: staff@bioeng.washington.edu.

Concentration of A in compartment 2

Concentration of A in compartment 1

Gulosity, first order consumption in V2

Initial concentration of B in compartment 1

Compartment 2 volume

Equilibrium dissociation constant

Compartment 1 volume

Inflowing concentration of A or B into compartment 1

Concentration of B in compartment 2

Exchange rate of B between compartments

Concentration of B in compartment 1

Flow into and out of compartment 1

Exchange rate of A between compartments

Equals Vmax/Km

Initial concentration of B in compartment 2

Vmax is maximum flux at 100% saturation.

Initial concentration of A in compartment 1

Initial concentration of A in compartment 2

Initial concentration of B in compartment 2

Initial concentration of A in compartment 1

Initial concentration of A in compartment 2

Initial concentration of B in compartment 1