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BIOMD0000000045 - Borghans1997 - Calcium Oscillation - Model 3

 

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Reference Publication
Publication ID: 17029867
Borghans JM, Dupont G, Goldbeter A.
Complex intracellular calcium oscillations. A theoretical exploration of possible mechanisms.
Biophys. Chem. 1997 May; 66(1): 25-41
Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.  [more]
Model
Original Model: BIOMD0000000045.xml.origin
Submitter: Harish Dharuri
Submission ID: MODEL6623009547
Submission Date: 13 Sep 2005 14:52:36 UTC
Last Modification Date: 06 Jun 2013 11:38:46 UTC
Creation Date: 08 Jul 2005 13:06:45 UTC
Encoders:  Nicolas Le Novère
   Harish Dharuri
set #1
bqbiol:is KEGG Pathway rno04020
bqbiol:isVersionOf Gene Ontology calcium-mediated signaling
Gene Ontology inositol phosphate-mediated signaling
bqbiol:occursIn Taxonomy Rattus
Notes
Borghans1997 - Calcium Oscillation - Model 3

A theoretical expoloration of possible mechanisms of intracellular calcium oscillations has been studied, considering three hypothesis. This model corresponds to the third hypothesis.

This model is described in the article:

Borghans JM, Dupont G, Goldbeter A.
Biophys. Chem. 1997 May; 66(1): 25-41

Abstract:

Intracellular Ca(2+) oscillations are commonly observed in a large number of cell types in response to stimulation by an extracellular agonist. In most cell types the mechanism of regular spiking is well understood and models based on Ca(2+)-induced Ca(2+) release (CICR) can account for many experimental observations. However, cells do not always exhibit simple Ca(2+) oscillations. In response to given agonists, some cells show more complex behaviour in the form of bursting, i.e. trains of Ca(2+) spikes separated by silent phases. Here we develop several theoretical models, based on physiologically plausible assumptions, that could account for complex intracellular Ca(2+) oscillations. The models are all based on one- or two-pool models based on CICR. We extend these models by (i) considering the inhibition of the Ca(2+)-release channel on a unique intracellular store at high cytosolic Ca(2+) concentrations, (ii) taking into account the Ca(2+)-activated degradation of inositol 1,4,5-trisphosphate (IP(3)), or (iii) considering explicity the evolution of the Ca(2+) concentration in two different pools, one sensitive and the other one insensitive to IP(3). Besides simple periodic oscillations, these three models can all account for more complex oscillatory behaviour in the form of bursting. Moreover, the model that takes the kinetics of IP(3) into account shows chaotic behaviour.

To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.

Model
Publication ID: 17029867 Submission Date: 13 Sep 2005 14:52:36 UTC Last Modification Date: 06 Jun 2013 11:38:46 UTC Creation Date: 08 Jul 2005 13:06:45 UTC
Mathematical expressions
Reactions
vin v2i v3i v4
v5 v6 v2s v3s
Physical entities
Compartments Species
extracellular EC    
cytosol Z    
intravesicular1 X    
intravesicular2 Y    
Global parameters
beta      
Reactions (8)
 
 vin [EC] → [Z];  
 
 v2i [Z] → [Y];  
 
 v3i [Y] → [Z];  
 
 v4 [Y] → [Z];  
 
 v5 [Z] → [EC];  
 
 v6 [X] → [Z];  
 
 v2s [Z] → [X];  
 
 v3s [X] → [Z];  
 
  Spatial dimensions: 3.0  Compartment size: 1.0
 
 EC
Compartment: extracellular
Initial concentration: 0.0
 
  Spatial dimensions: 3.0  Compartment size: 1.0
 
 Z
Compartment: cytosol
Initial concentration: 0.0
 
  Spatial dimensions: 3.0  Compartment size: 1.0
 
 X
Compartment: intravesicular1
Initial concentration: 0.5
 
   Spatial dimensions: 3.0  Compartment size: 1.0
 
 Y
Compartment: intravesicular2
Initial concentration: 0.0
 
Global Parameters (1)
 
   beta
Value: 1.0
Constant
 
vin (2)
 
   v0
Value: 0.015
Constant
 
   v1
Value: 0.012
Constant
 
v2i (2)
 
   Vm2i
Value: 3.1
Constant
 
   K2i
Value: 0.0050
Constant
 
v3i (3)
 
   Vm3i
Value: 25.0
Constant
 
   K3y
Value: 0.065
Constant
 
   K3z
Value: 0.022
Constant
 
v4 (1)
 
   Kf
Value: 0.5
Constant
 
v5 (1)
 
   K
Value: 1.0
Constant
 
v6 (1)
 
   Kf
Value: 0.5
Constant
 
v2s (2)
 
   Vm2s
Value: 1.5
Constant
 
   K2s
Value: 0.0265
Constant
 
v3s (2)
 
   Vm3s
Value: 0.169
Constant
 
   K3s
Value: 0.1
Constant
 
Representative curation result(s)
Representative curation result(s) of BIOMD0000000045

Curator's comment: (updated: 17 Dec 2006 12:49:27 GMT)

Bursting in two-pool model based on CICR as depicted in Fig 12 (a) of the paper. Simulation result from MathSBML.

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