The cyclic AMP control system in the development of Dictyostelium discoideum. I. Cellular dynamics.

A model for the synthesis and release of cyclic AMP in aggregating cells of Dictyostelium discoideum is developed. The model shows transitions from low level steady release of cAMP to excitable pulsatile release and then to autonomous periodic pulsatile release of cAMP as starvation proceeds. Finally, there is a transition to high level continuous release of cAMP. A detailed correspondence is drawn between these transitions and the phenomena that are observed to appear sequentially during the aggregation phase, specifically: cloud formation, relaying competence, autonomous competence, and tip activity. The only assumptions necessary to the model are that there is a autocatalytic mechanism for cAMP synthesis, a negative feedback regulation of cAMP through another variable C, and a source term for C that declines with starvation. By analogy with other systems across the phylogenetic scale, in which cAMP activates catabolic pathways and catabolites depress cAMP levels, C is tentatively identified as some measure of the level of energy-yielding catabolites in the cell and the source term for C, as a measure of the cells stored reserves. Starvation for C induces catabolism of stored reserves S through a rise in cAMP. As S, the source term for C declines, the feedback regulation through C can no longer maintain homeostosis and the control loop may be destabilised by small perturbations, i.e. it becomes excitable. A further decline in S can produce limit cycle oscillations in the catabolite-cAMP feedback loop. As S declines even further, continuous steady release of cAMP may ensue.In addition to incorporating the four developmental transitions observed during the aggregation phase as direct consequences of starvation, the model features a super-exponential emergence of relaying competence, phase shifts and acceleration of development by cAMP pulses, and a decreasing refractory period that becomes less than the period of an autonomous cell. All these features closely parallel experimental findings. Finally, the model suggests further experiments critical to an understanding of the dynamics underlying aggregation.