modelOxygenInWater

Oxygen dsisolution in water
Diagram of OxygenInWater

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information


To understand the model is necessary to study the principles of MWC allosteric transitions first published by

[1] Monod,Wyman,Changeux (1965). "On the nature of allosteric transitions: a plausible model." Journal of molecular biology 12(1): 88-118.


In short it is about binding oxygen to hemoglobin.

Oxgen are driven by its partial pressure using clock source - from very little pressure to pressure of 10kPa.

(Partial pressure of oxygen in air is the air pressure multiplied by the fraction of the oxygen in air.)

Hemoglobin was observed (by Perutz) in two structuraly different forms R and T.

These forms are represented by blocks T0..T4 and R0..R4, where the suffexed index means the number of oxygen bounded to the form.


In equilibrated model can be four chemical reactions removed and the results will be the same, but dynamics will change a lot. ;)

If you remove the quaternaryForm1,quaternaryForm2,quaternaryForm3,quaternaryForm4 then the model in equilibrium will be exactly the same as in MWC article.


Parameters was fitted to data of Severinghaus article from 1979. (For example at pO2=26mmHg is oxygen saturation sO2 = 48.27 %).

Components

TypeNameDefaultDescription
Boundaries.SubstanceO2aqS
Boundaries.SubstanceO2gS
Boundaries.SubstanceO2aqR
Boundaries.SubstanceO2gR
Processes.ReactiongasSolubilityR
Processes.GasSolubilitygasSolubilityS
Boundaries.ExternalGasO2gE
Boundaries.SubstanceO2aqE
Processes.GasSolubilitygasSolubilityE
Boundaries.SubstanceO2aqF
Processes.GasSolubilitygasSolubilityF
Boundaries.TerminalInflowO2gF
Modelica.Blocks.Sources.ContinuousClockclock
Boundaries.SubstanceO2aqT
Boundaries.ExternalGasO2gT
Processes.GasSolubilitygasSolubilityT
Boundaries.ExternalGasO2gP
Boundaries.SubstanceO2aqP
Processes.GasSolubilitygasSolubilityP

Revisions

2013-2018

Marek Matejak, Charles University, Prague, Czech Republic