Bursting in excitable cells is a phenomenon that has attracted the interest of many electrophysiologists and non-linear dynamicists. In this paper, we present two models that give rise to bursting in action potentials. The membrane of the first model contains a voltage-activated Ca ~-+ channel that
Electrical bursting and intracellular Ca2+oscillations in excitable cell models
β Scribed by Teresa Ree Chay
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 807 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0340-1200
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β¦ Synopsis
In bursting excitable cells such as pancreatic fl-cells and molluscan Aplysia neuron cells, intracellular Ca 2 Β§ ion plays a central role in various cellular functions. To understand the role of [Ca2+]~ (the intracellular Ca 2+ concentration) in electrical bursting, we formulate a mathematical model which contains a few functionally important ionic currents in the excitable cells. In this model, inactivation of Ca 2+ current takes place by a mixture of voltage and intracellular Ca 2+ ions. The model predicts that, although the electrical bursting patterns look the same, the shapes of [Ca2+]i oscillations could be very different depending on how fast [Ca2 Β§ changes in the cytosolic free space (i.e., how strong the cellular Ca 2+ buffering capacity is). If [Ca2+]~ changes fast, [Ca2+]~ oscillates in bursts in parallel to electrical bursting such that it reaches a maximum at the onset of bursting and a minimum just after the termination of the plateau phase. If the change is slow, then [Ca2 Β§ oscillates out-of-phase with electrical bursting such that it peaks at a maximum near the termination of the plateau and a minimum just before the onset of the active phase. During the active phase [Ca2+]~ gradually increases without spikes. In the intermediate ranges, [Ca2+]~ oscillates in such a manner that the peak of [Ca2+]~ oscillation lags behind the electrical activity. The model also predicts the existence of multipeaked oscillations and chaos in certain ranges of the gating variables and the intracellular Ca 2+ buffer concentration.
π SIMILAR VOLUMES
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 depend
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## Abstract Intracellular Ca^2+^ signalling is pivotal to cell function and [Ca^2+^]~i~ oscillations permit precise and prolonged modulation of an array of Ca^2+^βsensitive processes without the need for extended, global elevations in [Ca^2+^]~i~. We have studied [Ca^2+^]~i~ signalling in primary r
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