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Minimal model for Ca2+-dependent oscillations in excitable cells

✍ Scribed by Morten Colding-Jørgensen; Henrik Østergaard Madsen; Brian Bodholdt; Erik Mosekilde

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
950 KB
Volume
156
Category
Article
ISSN
0022-5193

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✦ Synopsis

A minimal model for calcium controlled oscillations is presented. The model considers only an exchange of potassium and calcium ions over the plasma membrane. Calcium ions leak into the cell through a potential dependent channel and is extruded by a pump. Potassium leaks out through a calcium dependent, but voltage independent, channel. The cytosolic calcium concentration is buffered, so a fixed fraction is free. Inactivation, membrane capacity, and time delays for the conductance changes are not included, so the time dependence is solely introduced through the temporal changes of the intracellular Ca2+-concentration. With continuous parameter changes the model can switch between five states: (1) a non-excitable, stable state; (2) single-spike excitability; (3) slow, spontaneous oscillations; (4) reversespike excitability; and (5) another non-excitable, stable state. One of the key parameters for this switching behavior is the rate constant for the calcium pump.

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