MbO2
Model for Oxygen binding to myoglobin, single site first order binding.
Model number: 0026
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Description
Binding of a ligand is a function of the affinity of
the site for the ligand, The ratio of the off-rate, k_1, to the on-rate, k1, is the
Kd = k_1/k1. The binding of oxygen O2 to myoglobin Mb is given by the reaction:
k1
--->
O2 + Mb <--- MbO2 , where one O2 molecule binds to the site on Mb.
k_1
To translate from physiological measures of partial pressure of O2 in mmHg,
the solubility of O2 in water for the particular temperature has to be used,
alphO2. The PO2 at 50% saturation, i.e. 50% of Mb bound to O2, is called p50Mb,
and is the PO2 at which the molar concentration of O2 equals Kd.
In this model, the PO2 is raised gradually in order to run it through a
wide range of concentrations from well below Kd to well above Kd. If the rate
of binding is slow, the binding will not be a t equilibrium, and saturation
will be below the equilibrium level when PO2 is rising fast.
Change the "rateO2" at which the pO2 is raised: at low on-rates, k1, the SMb,
the myoglobin saturation, will lag behind the curve for instantaneous equilibration, SMbeq.
SMbeq = 1/(1+ Kd / pO2), where Kd is the dissociation constant.
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
Schenkman KA, Marble DR, Burns DH, and Feigl EO: Myoglobin oxygen dissociation by multiwavelength spectroscopy. J Appl Physiol 82: 86-92, 1997. Schenkman KA, Beard DA, Ciesielski WA, and Feigl EO: Comparison of buffer and red blood cell perfusion of guinea pig heart oxygenation. Am J Physiol Heart Circ Physiol 285: H1819-H1825, 2003. Schenkman KA: Cardiac performance as a function of intracellular oxygen tension in buffer-perfused hearts. Am J Physiol Heart Circ Physiol 281: H2463-H2472, 2001.
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Model History
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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 03Feb10, 3:43 pm.]
Model development and archiving support at physiome.org provided by the following grants: 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.
