An increase of cytoplasmic [Ca 2+ ] i underlies many important physiological activities, including synaptic transmission, muscle contraction and hormonal secretion. Much attention has been paid to how [Ca 2+ ] i is controlled. In general, the increases of [Ca 2+ ] i that underlie activity can result from either influx from the extracellular fluid or release from intracellular stores. For these processes to work effectively, it is important that the concentrations of Ca in both the cytoplasm and intracellular stores are regulated. The purpose of this review is to consider how this regulation occurs and what determines its stability. Although much of the discussion concerns cardiac muscle, many of the issues and concepts are generally applicable.
Non-technical overview of stability conditionsThroughout this review we will be concerned with the stability of the various feedback processes that regulate [Ca 2+ ] i and it is essential to consider briefly the factors that determine whether a feedback system is stable. In general, feedback systems measure the level of the parameter that is to be controlled. If the value is too high corrective action is taken to reduce it; if too low it is increased. In this context two parameters are important: (1) the feedback gain and (2) whether there are delays in the system. We consider these in turn.The gain of a feedback system can be defined as the change in output produced by a given change of input. The greater the gain the more tightly a negative feedback system controls the input. However, too high a gain can result in instability if there are delays in the system. The presence of a delay means that the feedback measures the input at a certain time but corrective action is only taken after a delay when the value of the signal may well have changed. A good example of this is provided by the example of a shower. Here the object is to control the temperature of the water emerging. This is sensed by the person in the shower who takes corrective action by adjusting the setting of the mixer valve. However, there is usually a length of pipe between the mixer valve and the showerhead and this produces a delay before the water emerges and its temperature is sensed. It is common experience that, particularly in a shower to which one is not accustomed, the temperature can oscillate between too hot and too cold. Experience also shows that the best way to stop the temperature oscillating is to make small, gradual adjustments of the mixer valve rather than large changes. In other words, applying low feedback gain mitigates against the problems produced by delays. We will C The Physiological Society 2004