This model descibres the calcium oscillations. Below follows an excerpt of the abstract from the paper describing the model by C. Oxhamre et al (2005).

"The toxin α-hemolysin expressed by uropathogenic Escherichia coli bacteria was recently shown as the first pathophysiologically relevant protein to induce oscillations of the intracellular Ca²⁺ concentration in target cells. Here, we propose a generic three-variable kinetic model describing the Ca²⁺ oscillations induced in single rat renal epithelial cells by this toxin. Specifically, we take into account the interplay between 1) the cytosolic Ca²⁺ concentration; 2) IP₃-sensitive Ca²⁺ channels located in the membrane separating the cytosol and endoplasmic reticulum; and 3) toxin-related activation of production of IP₃ by phospholipase C. With these ingredients, the predicted response of cells exposed to the toxin is in good agreement with the results of experiments."

Fig. 1 show the simulation results and corresponds to Fig. 1(c) in the paper (C. Oxhamre et al 2005).


Fig. 1 the model predictions for the cytosolic Ca²⁺ concentraions and the probability that an inhibating Ca²⁺ site of the IP₃R Ca²⁺ channels is vacant.

References

C. Oxhamre, A. Richter-Dahlfors, V. P. Zhdanov, and B. Kasemo, "A Minimal Generic Model of Bacteria-Induced Intracellular Ca2+ Oscillations in Epithelial Cells," Biophysical Journal, 88(4), 2005, pp. 2976-2981 doi:10.1529/biophysj.104.053173

mainCompartment	Value: true Type: Boolean Description: Specifies whether the compartment is a main (top-level) compartment. Used in SBML import/export.
n0	Value: 1 Type: Real Description: IP3 concentration in toxin-free case
kbN	Value: 0.5 Type: Real Description: Binding rate constant times toxin concentration
kappa	Value: 5 Type: Real Description: Ratio of IP3-production activities
p11	Value: 0.2 Type: Real Description: Parameter corresponding to the channel performance in the absence of IP3,
p12	Value: 0.8 Type: Real Description: IP3-related increment of the probability that the channel is not blocked
K1	Value: 5 Type: Real Description: Equilibrium constant 1
K2	Value: 0.7 Type: Real Description: Equilibrium constant 2
k31	Value: 0.5 Type: Real Description: Attachment rate constant
K3	Value: 0.7 Type: Real Description: Equilibrium constant 3