MODEL NUMBER: 0237 MODEL NAME: Comp1FlowReaction SHORT DESCRIPTION: In a single compartment with flow, substrates C and D convert to each other using an equilibrium constraint. DIAGRAM: +-----------------------------+ F*Cin --> -->F*(Cout+Dout) | C0 kc2d D0 | | C----->D | | <---- | | kd2c | | V | | instantaneously well-mixed | +-----------------------------+ DETAILED DESCRIPTION: This is a one compartment model. F is flow, Cin is inflow concentration, Cout and Dout are outflow concentrations, V is volume, kc2d is the rate at which substance C is converted to substance D, and kd2c is the rate at which substance D is converted to substance C. C0 and D0 are the initial concentrations of C and D respectively. The amount of material in the compartment is calculated by multiplying the volume by the sum of the concentrations and also by integrating the flow multiplying the difference of what flows in minus what flows out. Statistics about this system can be calculated on either the sum of Cout plus Dout, or on either substance separately. KEY WORDS: compartment, compartmental, one compartment, single compartment, flow, reaction, conversion, Tutorial REFERENCES: Jacquez JA. Compartmental Analysis in Biology and Medicine. Ann Arbor: University of Michigan Press, 1996. REVISION HISTORY: JSim SOFTWARE COPYRIGHT AND REQUEST FOR ACKNOWLEDGMENT OF USE: JSim software was developed with support from NIH grants HL088516, and HL073598. Please cite these grants in any publication for which this software is used and send one reprint of published abstracts or articles to the address given below. Academic use is unrestricted. Software may be copied so long as this copyright notice is included. Copyright (C) 1999-2009 University of Washington. Contact Information: The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle, WA 98195-5061

Rate constant for C->D

Volume

Amount of material in compartment

Outflow concentration of C

Flow

Time dependent concentration of D

Time dependent concentration of C

Initial concentration of D

First moments

Transit times

Equilibrium constant

Transit times

Initial concentration of C

Outflow concentrations of D

Transit times

Areas

Areas

Inflow Concentration of C

First moments

Amount of material from integral of inflow

Rate constant for D->C

Initial concentration of C

Initial concentration of D

Time dependent concentration of C

Time dependent concentration of D

Inflow Concentration of C