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BIOMD0000000044 - Borghans1997 - Calcium Oscillation - Model 2


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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
Facult√© des Sciences, Universit√© Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.  [more]
Original Model: BIOMD0000000044.origin
Submitter: Harish Dharuri
Submission ID: MODEL6622948601
Submission Date: 13 Sep 2005 14:49:30 UTC
Last Modification Date: 03 Jun 2013 16:03:27 UTC
Creation Date: 08 Jul 2005 13:06:45 UTC
Encoders:  Harish Dharuri
set #1
bqbiol:hasTaxon Taxonomy Rattus
bqbiol:isVersionOf Gene Ontology inositol phosphate-mediated signaling
Gene Ontology calcium-mediated signaling
bqbiol:isPartOf KEGG Pathway Calcium signaling pathway - Rattus norvegicus (rat)
Borghans1997 - Calcium Oscillation - Model 2

A theoretical expoloration of possible mechanisms of intracellular calcium oscillations has been studied, considering three hypothesis (see below). This model corresponds to the second hypothesis.

This model is described in the article:

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


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.

Publication ID: 17029867 Submission Date: 13 Sep 2005 14:49:30 UTC Last Modification Date: 03 Jun 2013 16:03:27 UTC Creation Date: 08 Jul 2005 13:06:45 UTC
Mathematical expressions
vin v2 v3 v4
v5 Agonist stimulated production of IP3 Ca dependent IP3 degradation Ca independent IP3 degradation
Physical entities
Compartments Species
extracellular EC    
cytosol Z A  
intravesicular Y    
Global parameters
Reactions (8)
 vin [EC] → [Z];  
 v2 [Z] → [Y];  
 v3 [Y] → [Z];   {A}
 v4 [Y] → [Z];  
 v5 [Z] → [EC];  
 Agonist stimulated production of IP3  → [A];  
 Ca dependent IP3 degradation [A] → ;   {Z}
 Ca independent IP3 degradation [A] → ;  
  Spatial dimensions: 3.0  Compartment size: 1.0
Compartment: extracellular
Initial concentration: 1000.0
  Spatial dimensions: 3.0  Compartment size: 1.0
Compartment: cytosol
Initial concentration: 0.0
Compartment: cytosol
Initial concentration: 0.45
  Spatial dimensions: 3.0  Compartment size: 1.0
Compartment: intravesicular
Initial concentration: 0.36
Global Parameters (1)
Value: 0.5
vin (2)
Value: 2.0
Value: 1.0
v2 (2)
Value: 6.5
Value: 0.1
v3 (4)
Value: 19.5
Value: 0.2
Value: 0.2
Value: 0.3
v4 (1)
Value: 1.0
v5 (1)
Value: 10.0
Agonist stimulated production of IP3 (1)
Value: 2.5
Ca dependent IP3 degradation (4)
Value: 80.0
Value: 1.0
Value: 0.4
Value: 4.0
Ca independent IP3 degradation (1)
Value: 0.1
Representative curation result(s)
Representative curation result(s) of BIOMD0000000044

Curator's comment: (updated: 19 Jan 2010 14:28:43 GMT)

Reproduction of the time courses depicted in Fig 8 of the reference publication illustrating bursting with calcium-activated degradation of IP3. The calculations were performed and plotted using Copasi 4.5.

(A : IP3, Y,Z: intravesicular and cytosolic Ca2+)