Comparison of 1-sided and 2 sided Michaelis-Menten
transporters in a two compartment model with flow.
(Java model applet may take 10-20 seconds to load.)
Figure 1: Concentrations of A1, A2, B1, and B2 are plotted as
functions of time. The normalized values of PS (PSa/PSmax and
PSb/PSmax) are also plotted as functions of time.
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).
One sided Michaelis-Menten Transporter
Ordinary Differential Equations
Two sided Michaelis-Menten Transporter
Ordinary Differential Equations
The equations for this model may also be viewed by running the JSim model applet and clicking on the
Source tab at the bottom left of JSim's Run Time graphical user interface. The equations are written in
JSim's Mathematical Modeling Language (MML).
Introduction to MML and the
MML Reference Manual.
Additional documentation for MML can be found by using the search option at the
Physiome home page.
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.
Compartment, Michaelis-Menten, MM, transporter, 1 sided,
2 sided, initial velocity
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[This page was last modified
14Mar18, 5:07 pm.]
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JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.