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BIOMD0000000043 - Borghans1997 - Calcium Oscillation - Model 1

 

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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: BIOMD0000000043.xml.origin
Submitter: Harish Dharuri
Submission ID: MODEL6622689184
Submission Date: 13 Sep 2005 14:46:22 UTC
Last Modification Date: 03 Jun 2013 15:58:54 UTC
Creation Date: 08 Jul 2005 13:06:45 UTC
Encoders:  Nicolas Le Novère
   Harish Dharuri
set #1
bqbiol:occursIn Taxonomy Rattus
bqbiol:is KEGG Pathway rno04020
bqbiol:isVersionOf Gene Ontology inositol phosphate-mediated signaling
Gene Ontology calcium-mediated signaling
Notes
Borghans1997 - Calcium Oscillation - Model 1

A theoretical expoloration of possible mechanisms of intracellular calcium oscillations has been studied, considering three hypothesis (see below). This model corresponds to the first 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 14:46:22 UTC Last Modification Date: 03 Jun 2013 15:58:54 UTC Creation Date: 08 Jul 2005 13:06:45 UTC
Mathematical expressions
Reactions
vin v2 v3 v4
v5 v6 v7  
Physical entities
Compartments Species
extracellular EC    
cytosol Z Rho Fraction_Inactive_Channels
intravesicular Y    
Global parameters
a d beta  
Reactions (7)
 
 vin [EC] → [Z];  
 
 v2 [Z] → [Y];  
 
 v3 [Y] → [Z];   {Rho}
 
 v4 [Y] → [Z];  
 
 v5 [Z] → [EC];  
 
 v6 [Rho] → [Fraction_Inactive_Channels];   {Z}
 
 v7 [Fraction_Inactive_Channels] → [Rho];  
 
  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
 
 Rho
Compartment: cytosol
Initial concentration: 0.0
 
 Fraction_Inactive_Channels
Compartment: cytosol
Initial concentration: 0.0
 
  Spatial dimensions: 3.0  Compartment size: 1.0
 
 Y
Compartment: intravesicular
Initial concentration: 0.36
 
Global Parameters (3)
 
   a
Value: 40000.0
Constant
 
   d
Value: 100.0
Constant
 
   beta
Value: 1.0
Constant
 
vin (2)
 
   v0
Value: 1.0
Constant
 
   v1
Value: 1.0
Constant
 
v2 (2)
 
   Vm2
Value: 6.5
Constant
 
   K2
Value: 0.1
Constant
 
v3 (2)
 
   Vm3
Value: 50.0
Constant
 
   Ky
Value: 0.2
Constant
 
v4 (1)
 
   Kf
Value: 1.0
Constant
 
v5 (1)
 
   K
Value: 10.0
Constant
 
v6 (1)
 
   Kd
Value: 5000.0
Constant
 
v7 (1)
 
   Kr
Value: 5.0
Constant
 
Representative curation result(s)
Representative curation result(s) of BIOMD0000000043

Curator's comment: (updated: 17 Dec 2006 12:43:50 GMT)

Calcium bursting oscillations based on CICR with calcium inhibition of the calcium release channel as depicted in Fig 5 of the paper. Simulation result obtained with MathSBML.

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