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Models the adaptation of ATP production by the mitochondria to ATP hydrolysis. This model contains only diffusion, mitochondrial outer membrane (MOM) permeation, and two isoforms of creatine kinase (CK), in cytosol and mitochondrial intermembrane space (IMS), respectively.

Model number: 0302

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  Computational models of a large metabolic system can be assembled from modules
  that represent a biological function emerging from interaction of a small subset 
  of molecules. A “skeleton model” is tested here for a module that regulates the 
  first phase of dynamic adaptation of oxidative phosphorylation (OxPhos) to demand 
  in heart muscle cells. The model contains only diffusion, mitochondrial outer 
  membrane (MOM) permeation, and two isoforms of creatine kinase (CK), in cytosol and 
  mitochondrial intermembrane space (IMS), respectively. The communication with two 
  neighboring modules occurs via stimulation of mitochondrial ATP production by ADP and 
  Pi from the IMS and via time-varying cytosolic ATP hydrolysis during contraction. 

(From vanBeek, 2007)

Figure 2: Model reproduction of figure 2 from vanBeek, 2007 paper. Time course of ATP production by the mitochondria in response to a step in heart rate at time t=0. Top, the pulsatile forcing function, which represents ATP hydrolysis during cardiac systole. Bottom, the response of mitochondrial ATP production.


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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Key Terms

systems biology, computational model, creatine kinase, phosphocreatine shuttle, regulatory module, mitochondrial membrane permeability, oxygen consumption, publication

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Posted by: BEJ


Please cite 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:
Or send a copy to:
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 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.