Signal-induced Ca2+ oscillations: Properties of a model based on (Ca2+)-induced Ca2+ release
Ethan
Choi
Bioengineering Institute, University of Auckland
Model Status
This model has been built with the differential expressions in Dupont's 1991 paper. This CellML model is known to run in PCEnv and COR to replicate the published results for the response to a transient increase in InsP3 using a pulse and decay of beta at tp=4 (figure 4B).
Paper Abstract
We consider a simple, minimal model for signal-induced Ca2+ oscillations based on Ca(2+)-induced Ca2+ release. The model takes into account the existence of two pools of intracellular Ca2+, namely, one sensitive to inositol 1,4,5 trisphosphate (InsP3) whose synthesis is elicited by the stimulus, and one insensitive to InsP3. The discharge of the latter pool into the cytosol is activated by cytosolic Ca2+. Oscillations in cytosolic Ca2+ arise in this model either spontaneously or in an appropriate range of external stimulation; these oscillations do not require the concomitant, periodic variation of InsP3. The following properties of the model are reviewed and compared with experimental observations: (a) Control of the frequency of Ca2+ oscillations by the external stimulus or extracellular Ca2+; (b) correlation of latency with period of Ca2+ oscillations obtained at different levels of stimulation; (c) effect of a transient increase in InsP3; (d) phase shift and transient suppression of Ca2+ oscillations by Ca2+ pulses, and (e) propagation of Ca2+ waves. It is shown that on all these counts the model provides a simple, unified explanation for a number of experimental observations in a variety of cell types. The model based on Ca(2+)-induced Ca2+ release can be extended to incorporate variations in the level of InsP3 as well as desensitization of the InsP3 receptor; besides accounting for the phenomena described by the minimal model, the extended model might also account for the occurrence of complex Ca2+ oscillations.
model diagram
Schematic diagram of the cell model for signal-induced, intracellular calcium oscillations.
The complete original paper reference is cited below:
Signal-induced Ca2+ oscillations: properties of a model based on Ca(2+)-induced Ca2+ release, Dupont G, Berridge MJ, Goldbeter A, 1991, Cell Calcium
12, 73-85. PubMedID: 1647878
This component stores and calculates various parameters for the cell components
$\mathrm{v2}=\frac{\mathrm{VM2}Z^{n}}{\mathrm{K2}^{n}+Z^{n}}\mathrm{v3}=\mathrm{VM3}\frac{Y^{m}}{\mathrm{KR}^{m}+Y^{m}}\frac{Z^{p}}{\mathrm{KA}^{p}+Z^{p}}$
This component stores information about the cytosolic Ca2+
Ca2+ in the cytosol
$\frac{d Z}{d \mathrm{time}}=\mathrm{v0}+\mathrm{v1}\mathrm{beta}-\mathrm{v2}+\mathrm{v3}+\mathrm{kf}Y-kZ$
This component stores information about the InsP3-insensitive intracellular store and the Ca2+ in this pool
Ca2+ in the intracellular Ca2+ pool
$\frac{d Y}{d \mathrm{time}}=\mathrm{v2}-\mathrm{v3}-\mathrm{kf}Y$
This component stores information about saturation function beta when it is given a transient function
saturation function of the InsP3 receptor
time of instantaneous increase in beta
$\mathrm{beta}=\begin{cases}0 & \text{if $\mathrm{time}< \mathrm{tp}$}\\ \mathrm{betaf}e^{-0.2(\mathrm{time}-\mathrm{tp})} & \text{if $\mathrm{time}\ge \mathrm{tp}$}\end{cases}$
Signal-induced Ca2+ oscillations: Properties of a model based on (Ca2+)-induced Ca2+ release (Model B)
Choi
Ethan
mcho099@aucklanduni.ac.nz
The University of Auckland
Auckland Bioengineering Institute
2009-11-25
Signal-induced Ca2+ oscillations: Properties of a model based on (Ca2+)-induced Ca2+ release
This is the CellML description of Dupont, Berridge, and Goldbeter's mathematical model of Ca2+ oscillations based on (Ca2+)-induced Ca2+ release.
Ethan Choi
Xenopus oocytes
Various cells
keyword
Calcium Dynamics
Ca2+
Insp3
cytosol
insensitive
1647878
Dupont
G
Berridge
M
J
Goldbetter
A
Signal-induced Ca2+ oscillations: Properties of a model based on (Ca2+)-induced Ca2+ release
1991-02
Cell Calcium
12
73
85