Model for two compartments with flow, 1 solute, 1 sided Michaelis-Menten transporter.
Model number: 0015
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Figure 4: Exponential Fit to A1 and A2: Default Parameter Set
Plotting log(A1) and log(A2) vs. time shows that the concentrations are
exponentially decaying at the same rate. Derive an analytic expression
for this rate.
Compartmental models are based on mass balance equations.
A compartment has a volume, V, and a time-varying
concentration of a substance, A(t). An underlying
assumption of compartmental models is that the material
in the compartment is instantaneously well mixed.
Compartmental models are also call well-stirred tank
This is a compartmental model for facilitated exchange between two chambers separated by a membrane. It is an open model (with inflow and outflow), with volumes V1 and V2 for each compartment, time dependent concentrations A1(t) and A2(t) respectively, and an exchange coefficient PS. G2 is for Gulosity, the first order consumption of the solute in V2. This model assumes instantaneous solute binding to a Michaelis-Menten type transporter, with only a single site available from the V1 side of the membrane. Fluxes are set by the concentration of A1(t) in V1. A1 determines the fractional saturation, PS/PSmax.
See model TranspMM.2sided.Comp2F.proj to compare with a transporter binding on either side of the membrane