MODEL NUMBER: 0247 MODEL NAME: Comp2FlowExchange SHORT DESCRIPTION: Two compartments, plasma and interstitial fluid (ISF), with flow and exchange using physiological names and units for parameters and variables. The model is optimized to fit a data set. DIAGRAM: F(flow) _____________________________ Cin(t) ---> | Cp(t)|---> Cout(t)=Cp(t) | Vp(volume) | | instantaneously well mixed | | ^ | |____________PS_______________| | v | | Visf(volume) Cisf(t)| | instantaneously well mixed | |_____________________________| DETAILED DESCRIPTION: A flow, Fp, carries an inflow concentration, Cin, into a plasma compartment with volume Vp. The substance is instantaneously well mixed. The material undergoes a passive exchange with an interstitial fluid (ISF) space with volume Visf. No reactions occur in this system. For a constant concentration of inflowing material the analytic steady state solution is Cp=Cin and Cisf=Cin if Psc is positive. Various methods for checking the calculations in a model are illustrated: (1) comparison with an analytic solution, (2) two methods of calculating the amount of material in a compartment with flow, (3) comparison of the running integrals of inflow and outflow concentrations, and (4) calculation of the system transit time of a compartment model with flow by two different methods. The model parameters are optimized to fit a data set. SHORTCOMINGS/GENERAL COMMENTS: - None. KEY WORDS: Course, compartment, compartmental, tutorial, flow, exchange, multi-compartments, two compartments, data REFERENCES: None. REVISION HISTORY: Revised by: BEJ Date:14aug13 : update copyright, key words COPYRIGHT AND REQUEST FOR ACKNOWLEDGMENT OF USE: Copyright (C) 1999-2013 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@physiome.org.

Areas

Concentration in ISF space

Initial concentration in plasma space

Transit times

Initial concentration in ISF space

Capillary wall permeability

Concentration in plasma space

Plasma flow per gram of tissue

Inflowing concentration in plasma

First moments

Areas

Outflow concentration, Cout = Cp.

Transit times

Transit times

First moments

ISF volume per gram of tissue

Plasma volume per gram of tissue

Initial concentration in plasma space

Initial concentration in ISF space

Inflowing concentration in plasma

Outflow concentration, Cout = Cp.

Concentration in plasma space