Model number

A two region two-sided Michaelis-Menten transporter with bolus sweep multiple indicator dilutions.

Detailed Description

2sol2sidedBolusSw pic1

A multiple indicator dilution model. 4 compartment model that includes serotonin tracer curves. Assumptions:
Tracer (14C-5-HT) << then Mother (5-HT)
Competition between Mother and Tracer across membranes.
Multiple indicator dilution references.
Green Dye stays within capillary (Vascular reference).
Sucrose used as a ISF reference.
Sucrose and Serotonin PSg are equal.
Concentration of SID is similar to tracer.

Relevant Equations

p = Plasma, isf = Interstitial Fluid Region, ec = Endothelial Cell, pc = Parenchymal Cell

Michaelis-Menten type Transporters PS's and Consumptions G for Mother, and used by Tracer.






Partial Differential Equation for Mother Solute, e.g. non-tracer serotonin.





Partial differential equation for Diffusive tracer.





Partial differential equation for Intravascular Reference (no G or PS)


Partial differential equation for Extracellular Reference (PSg > 0, no G or PS)



PSg: Passive conductance channel between Plasma and ISF
PSecl: Concentration dependent transporter between Plasma and EC
PSeca: Concentration dependent transporter between ISF and EC
PSpc: Concentration dependent transporter between ISF and PC
Gec: EC consumption, can be set to zero.
Gpc: PC consumption.
Fp: Plasma Flow Rate.
Vp: Plasma Volume.
Vec, Visfp, Vpcp: Volumes of distribution
PSg, Pspc: Permeability-surface area product exchange coefficient.
Gp, Gisf, Gpc: Consumption rates for metabolite.
Dp, Disf, Dpc: Axial Diffusion coefficient.
Cin: Plasma metabolite inflow.
Cout: Plasma metabolite outflow.
Cp, Cisf, Cpc: Mother metabolite concentration.
CTp, CTisf, CTpc: Tracer concentration.
CRp: Single Indicator dilution reference concentration.
CRxp, CRxisf: Extracellular reference tracer concentration in p and ISF.

Download JSim model project file

Bronikowski, T.A., et al., A Mathematical-Model of Indicator Extraction by the Pulmonary Endothelium Via Saturation Kinetics. Mathematical Biosciences, 1982. 61(2): p. 237-266.

Dawson, C.A., et al., Kinetics of Serotonin Uptake in the Intact Lung. Annals of Biomedical Engineering, 1987. 15: p. 217-227.

Linehan, J.H., T.A. Bronikowski, and C.A. Dawson, Kinetics of Uptake and Metabolism by Endothelial-Cell from Indicator Dilution Data. Annals of Biomedical Engineering, 1986. 14(1): p. 87-87.

Malcorps, C.M., et al., Lung Serotonin Uptake Kinetics from Indicator-Dilution and Constant-Infusion Methods. Journal of Applied Physiology, 1984. 57(3): p. 720-730.

Key terms
Bolus Sweep
Multiple Indicator dilution model
serotonin tracer curves
four region

Copyright (C) 1999-2010 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 one reprint to the address given above.

Model development and archiving support at provided by the following grants: NIH U01HL122199 Analyzing the Cardiac Power Grid, 09/15/2015 - 05/31/2020, NIH/NIBIB BE08407 Software Integration, JSim and SBW 6/1/09-5/31/13; NIH/NHLBI T15 HL88516-01 Modeling for Heart, Lung and Blood: From Cell to Organ, 4/1/07-3/31/11; NSF BES-0506477 Adaptive Multi-Scale Model Simulation, 8/15/05-7/31/08; NIH/NHLBI R01 HL073598 Core 3: 3D Imaging and Computer Modeling of the Respiratory Tract, 9/1/04-8/31/09; as well as prior support from NIH/NCRR P41 RR01243 Simulation Resource in Circulatory Mass Transport and Exchange, 12/1/1980-11/30/01 and NIH/NIBIB R01 EB001973 JSim: A Simulation Analysis Platform, 3/1/02-2/28/07.