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Arterial_flow_with_O2_CO2_HCO3_H_exch

Distributed model for the O2-CO2 transport and exchange in the arterial portion of the vasculature.

Model number: 0074

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Description

  Alternate model name: RBC_plasma_exch_O2_CO2_

  Distributed model for the O2-CO2 transport and exchange in the arterial
  portion of the vasculature.  The input partial pressures of O2 and CO2 in
  plasma and RBCs and plasma pH are specified by the external functions, 
  pO2plin, pO2rbcin, pCO2plin, pCO2rbcin and pHplin. The instantaneous 
  equilibrium bindings of O2 and CO2 with hemoglobin are characterized by 
  the invertible Hill-type equations developed by Dash and Bassingthwaighte
  (Ann Biomed Eng 32:1676-1693, 2004.)  Transport and exchange between the 
  plasma and the RBCs exists along the length of the vessel with none 
  thorugh the vessel wall into the surrounding interstitial and cellular 
  region.

  This code is strongly based on the blood-tissue exchange (BTEX) model code
  developed by Ranjan Dash, Assistant Professor, Compuational Bioengineering 
  Group, Medical College of Wisconsin.  Modifications to this code were made
  by Gary Raymond and Brian Carlson, National Simulations Resource, 
  Department of Bioengineering, University of Washington.  
 

Equations

The equations for this model may 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). See the 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.

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References

  Carlson BE, Anderson JC, Raymond GM, Dash RK and Bassingthwaighte JB.
  Modeling oxygen and carbon dioxide transport and exchange using a closed loop circulatory system.
  Advances in Experimental Medicine and Biology: International Society on Oxygen Transport to Tissue XXIX, 
  614:353-360, 2008

  Dash RK and Bassingthwaighte JB.
  Simultaneous blood-tissue exchange of oxygen, carbon dioxide, bicorbonate and hydrogen ion.
  Annals of Biomedical Engineering 34:1129-1148, 2006.

  (Primary) Dash RK and Bassingthwaighte JB. 
  Erratum to: Blood HbO2 and HbCO2 dissociation curves at varied O2, CO2, pH, 2,3-DPG and Temperature Levels. 
  Ann Biomed Eng 38(4): 1683-1701, 2010. 
  

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Key Terms

Oxyhemoglobin dissociation curves, Bohr effect, Haldane effect, Axially distributed model, Hematocrit and RBC/plasma relative velocity, Artery, arterial flow, Transport Physiology, Combined convection diffusion permeation reaction, HCO3, CO2, oxygen, carbon dioxide, hydrogen ion

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Acknowledgements

Please cite www.physiome.org in any publication for which this software is used and send one reprint to the address given below:
The National Simulation Resource, Director J. B. Bassingthwaighte, Department of Bioengineering, University of Washington, Seattle WA 98195-5061.

[This page was last modified 29Jan20, 1:02 pm.]

Model development and archiving support at physiome.org 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.