Kinetics and models of the Drosophila heat-shock system

The puffing of Drosophila heat-shock genes after (1) a step-wise temperature increase ("heat-shock"); (2) recovery from anaerobiosis; and (3) incubation with uncoupling reagents was expressed as percent of the maximal size and normalized to the time scale. Data were taken from the literature and new measurements. In addition, puffing was measured after a 30-min temperature pulse and after two 30-min pulses. The latter experiment revealed a second, smaller increase in puff-size. Data on RNA and protein synthesis in Drosophila cells were collected from the literature and also normalized. From the available data, a feed-back control system is derived that consists of a controlled variable x, possibly a metabolic function of the mitochondria, interacting with an activator molecule which exists in an active (A+) and an inactive (A-) configuration. A+ activates the heat-shock genes which in turn produce their mRNA (y) and proteins (z) which then change the controlled variable x into a new steady state. A modified version of this model assumes a feed-back control of the heat-shock proteins on the activator molecule. A mathematical model of this system (Goodwin, 1965) was simulated by computer and compared with the experimental results.