Control of Developmental Transitions in the Cyclic AMP Signalling System of Dictyostelium discoideum

In the first few hours after starvation, the developing cAMP secretory system in Dictyostelium discoideum has been observed to be successively in one of four states: (a) quiescent, (b) excitable (capable of relay), (c) autonomously oscillating, and (d) secreting at a high steady level. A theoretical model is presented which demonstrates that the proximal cause of the transitions between different types of behavior may be slow changes in the activities of the enzymes adenylate cyclase and phosphodiesterase. These changes affect the stability properties of the steady state admitted by the cAMP signalling system. Sustained oscillations develop when the steady state is unstable, whereas relay of cAMP signals occurs upon perturbation of a stable steady state for parameter values close to those which produce oscillations. The developmental path suggested in the adenylate cyclase-phosphodiesterase space for the sequential transitions compares with the time course observed for the synthesis of these enzymes after starvation. It is suggested that there is general significance for the understanding of differentiation in the example given of a state-point following a developmental path in parameter space, moving from one behavioral domain to another, and thereby bringing about shifts in qualitative behavior.     

Irreversible transitions in the 6-phosphofructokinase/fructose 1,6-bisphosphatase cycle.

The dynamics of the fructose 6-phosphate fructose-1,6-bisphosphate cycle operating in an open and homogeneous system reconstituted from purified enzymes was extensively studied. In addition to 6-phosphofructokinase and fructose-1,6-bisphosphatase, pyruvate kinase, adenylate kinae and glucose-6-phosphate isomerase were involved. In that multi-enzyme system, the main source of non-linearity is the reciprocal effect of AMP on the activities of 6-phosphofructokinase and fructose-1,6-bisphosphatase. Depending upon the experimental parameter values, stable attractors, various types of multiple states and sustained oscillations were shown to occur. In the present report we show that irreversible transitions are also likely to occur for realistic operating conditions. Two parameters of the system, that is the adenylate energy charge of the influx and the fructose-1,6-bisphosphatase maximal activity, are potential candidates to provoke such irreversible transitions from one steady state to the other: (a) when varying the maximal activity of fructose-1,6-bisphosphatase, the system can jump irreversibly from a low to a high stable steady state, and (b) when the adenylate energy charge of the influx is the changing parameter, irreversible transitions occur from a high stable steady state to a stable oscillatory state (limit cycle motion). This behavior can be predicted by constructing the loci of limit points and Hopf bifurcation points.     

Metabolic oscillations in biochemical systems controlled by covalent enzyme modification

We analyze the conditions under which sustained oscillations develop in a biochemical system regulated autocatalytically by reversible, covalent enzyme modification. The analysis applies, for example, to the situation where adenylate cyclase (or guanylate cyclase) is activated through phosphorylation by a cAMP (or cGMP)-dependent protein kinase. The model then provides a non-allosteric mechanism for the periodic generation of cAMP or cGMP pulses. For certain parameter values close to those that produce oscillations, the system is excitable since it can amplify in a pulsatory manner suprathreshold perturbations. The results on excitable and oscillatory behavior are discussed in relation with the mechanism of cAMP relay and oscillation in the slime mold Dictyostelium discoideum.     

Oscillations and waves of cyclic AMP in Dictyostelium: A prototype for spatio-temporal organization and pulsatile intercellular communication

The amoebae Dictyostelium discoideum aggregate after starvation in a wavelike manner in response to periodic pulses of cyclic AMP (cAMP) secreted by cells which behave as aggregation centers. In addition to autonomous oscillations, the cAMP signaling system that controls aggregation is also capable of excitable behavior, which consists in the transient amplification of suprathreshold pulses of extracellular cAMP. Since the first theoretical model for slime mold aggregation proposed by Keller and Segel in 1970, many theoretical studies have addressed various aspects of the mechanism and function of cAMP signaling in Dictyostelium. This paper presents a brief overview of these developments as well as some reminiscences of the author's collaboration with Lee Segel in modeling the dynamics of cAMP relay and oscillations. Considered in turn are models for cAMP signaling in Dictyostelium, the developmental path followed by the cAMP signaling system after starvation, the frequency encoding of cAMP signals, and the origin of concentric or spiral waves of cAMP.     

A Model Based on Receptor Desensitization for Cyclic AMP Signaling in Dictyostelium Cells

We analyze a model based on receptor modification for the cAMP signaling system that controls aggregation of the slime mold Dictyostelium discoideum after starvation. The model takes into account both the desensitization of the cAMP receptor by reversible phosphorylation and the activation of adenylate cyclase that follows binding of extracellular cAMP to the unmodified receptor. The dynamics of the signaling system is studied in terms of three variables, namely, intracellular and extracellular cAMP, and the fraction of receptor in active state. Using parameter values collected from experimental studies on cAMP signaling and receptor phosphorylation, we show that the model accounts qualitatively and, in a large measure, quantitatively for the various modes of dynamic behavior observed in the experiments: (a) autonomous oscillations of cAMP, (b) relay of suprathreshold cAMP pulses, i.e., excitability, characterized by both an absolute and a relative refractory period, and (c) adaptation to constant cAMP stimuli. A two-variable version of the model is used to demonstrate the link between excitability and oscillations by phase plane analysis. The response of the model to repetitive stimulation allows comprehension, in terms of receptor desensitization, of the role of periodic signaling in Dictyostelium and, more generally, the function of pulsatile patterns of hormone secretion.     

Finding complex oscillatory phenomena in biochemical systems. An empirical approach

Starting with a model for a product-activated enzymatic reaction proposed for glycolytic oscillations, we show how more complex oscillatory phenomena may develop when the basic model is modified by addition of product recycling into substrate or by coupling in parallel or in series two autocatalytic enzyme reactions. Among the new modes of behavior are the coexistence between two stable types of oscillations (birhythmicity), bursting, and aperiodic oscillations (chaos). On the basis of these results, we outline an empirical method for finding complex oscillatory phenomena in autonomous biochemical systems, not subjected to forcing by a periodic input. This procedure relies on finding in parameter space two domains of instability of the steady state and bringing them close to each other until they merge. Complex phenomena occur in or near the region where the two domains overlap. The method applies to the search for birhythmicity, bursting and chaos in a model for the cAMP signalling system of Dictyostelium discoideum amoebae.     

Changes in adenylate cyclase and phosphodiesterase activities during the growth cycle of adult rat hepatocytes in primary culture

Long-term primary adult rat hepatocyte cultures show growth-state-dependent changes in adenylate cyclase and cAMP phosphodiesterase activities. Cellular adenylate cyclase activity decreases to undetectable levels within 1 day postplating, reappears on Days 4-5, and becomes maximal on Day 9. Membrane adenylate cyclase and cellular cAMP formation are insensitive to glucagon during log phase (Days 4-8) but not during lag (Day 1) or stationary phase (Day 12). Cyclic AMP phosphodiesterase activities (soluble and particulate) fall approximately equal to 70% by Day 2 but recover as proliferation begins. By contrast, the particulate phosphodiesterase assayed at 100 microM cAMP, decreased during Days 0-2. These observations simulate changes seen during liver proliferative transitions in vivo and, therefore, further support the use of these cultures as a developmental model.     

Properties of the oscillatory cAMP binding component of Dictyostelium discoideum cells and isolated plasma membranes.

The cAMP receptor on the surface of aggregation competent Dictyostelium discoideum cells specifically binds [3H]cAMP in an oscillatory manner with a periodicity of 2 min. The oscillatory cAMP-binding component is developmentallly regulated and has the nucleotide specificity expected for recognition of chemotactic signals. The concentration dependence of the peak amplitudes of cAMP binding exhibit an apparent threshold at 10(-8) M cAMP. The threshold concentration for cAMP binding that we measure is consistent with the concentration dependence of signal relay (cAMP secretion) and the chemotactic response. The kinetic data of binding and dissociation are very rapid, consistent with the time course of oscillations in receptor capacity (affinity). Specific binding oscillations are destroyed by heat or chymotrypsin but are insensitive to trypsin or glycosidase. A plasma membrane localization of receptor is supported by enrichment of cAMP binding in a plasma membrane preparation from differentiated cells. Receptor oscillations with a 2-min period are preserved in the membrane preparations, and the peak amplitudes are increased about 10-fold consistent with the enrichment of other plasma membrane markers. The alternating change in the receptor's binding capacity for cAMP may be the basis of the relay refractory period as well as the primary oscillator involved in the generation of postreceptor events such as stimulation of adenylate cyclase, cAMP secretion, and cellular movement, all of which have been previously shown to oscillate.     

cAMP regulation of early gene expression in signal transduction mutants of Dictyostelium

We have examined the regulation of three early developmentally regulated genes in Dictyostelium. Two of these genes (D2 and M3) are induced by pulses of cAMP and the other (K5) is repressed. Expression of these genes has been examined in a number of developmental mutants that are specifically blocked in various aspects of the signal transduction/cAMP relay system involved in aggregation and control of early development. The mutant strains include Synag mutants, which are blocked in receptor-mediated activation of adenylate cyclase and do not relay cAMP pulses; FrigidA mutants, which are blocked in receptor-mediated activation of both adenylate cyclase and the putative phosphoinositol bisphosphate (PIP2) turnover pathway and appear to be mutations in the gene encoding one of the G alpha protein subunits; and a StreamerF allele, which lacks cGMP-specific cGMP phosphodiesterase. From the analysis of the developmental expression of these genes under a variety of conditions in these mutant strains, we have drawn a number of conclusions concerning the modes of regulation of these genes. Full induction of D2 and M3 genes requires cAMP interaction with the cell surface receptor and an "oscillation" of the receptor between active and adapted forms. Induction of these genes does not require activation of the signal transduction pathway that leads to adenylate cyclase activation and cAMP relay, but does require activation of other receptor-mediated intracellular signal transduction pathways, possibly that involving PIP2 turnover. Likewise, repression of the K5 gene requires pulses of cAMP. Expression of this gene is insensitive to cAMP pulses in FrigidA mutants, suggesting that a signal transduction pathway is necessary for its repression. Results using the StreamerF mutant suggest that the rise in cGMP in response to cAMP/receptor interactions may not be directly related to control of the pulse-induced genes. In addition, we have examined the effect of caffeine, which M. Brenner and S.D. Thomas (1984, Dev. Biol., 101, 136-146) showed preferentially blocks the cAMP relay system by blocking receptor-mediated activation of adenylate cyclase. We show that in many of the mutants and in an axenic wild-type strain, caffeine causes the induction of pulse-induced gene expression to almost wild-type levels or in some cases to higher than wild-type levels. Our data suggest that caffeine works by activating some step in the signal transduction pathway that must lie downstream from both the receptor and at least one of the G proteins and thus has effects other than simply blocking the receptor-mediated cAMP relay system.     

In situ measurements of external pH and optical density oscillations in Dictyostelium discoideum aggregates

In situ measurements of extracellular pH by means of microelectrodes and in situ measurements of optical density were performed on aggregating cells of Dictyostelium discoideum. Early aggregation stage AX2 cells showed sinusoidal pH oscillations, which could be inhibited by the specific relay inhibitor caffeine, indicating that they were coupled to cAMP oscillations. Sometimes biphasic pH oscillations were found, which can be explained by the superposition of two harmonic pH oscillations. These harmonic oscillations might arise by gating of the cAMP signal; a part of the cells respond to every cAMP signal and another subpopulation to every second cAMP pulse. Late aggregation-stage cells showed complex changes of the extracellular pH, which could be inhibited by caffeine. Optical density measurements of wave propagation in aggregation streams of HG220 also revealed gating behavior. In addition to sinusoidal optical density oscillations, biphasic and still more complex oscillations were observed.     

Phosphatidic acid inhibition of PGE1-stimulated cAMP accumulation in WI-38 fibroblasts: similarities with carbachol inhibition

To test the hypothesis that phosphatidic acid (PhA) is involved in the carbachol inhibition of hormone stimulated accumulation of cAMP we observed the effects of PhA on PGE1-stimulation of cAMP in WI-38 fibroblasts. PhA inhibited PGE1-stimulated cAMP accumulation of WI-38 fibroblasts; maximum inhibition (approximately 50-80%) occurred at a PhA concentration of 1.0 microM and significant inhibition was observed with a concentration of 0.1 microM. The full effects of PhA were evident within 15 sec after the co-addition of PGE1 and PhA. Addition of PhA to cells which had been pre-stimulated with PGE1 resulted in the rapid decay of cAMP levels to a new steady state level with a t 1/2 of approximately 65 sec. The inhibition produced by PhA did not appear to be simply attributable to a depolarization or increased intracellular Ca2+, since addition of either KCl or the Ca2+ ionophore A23187 did not lower PGE1-stimulated cAMP accumulation. When intact cells were pretreated with PhA then lysed and adenylate cyclase immediately assayed, no detectable changes in broken cell adenylate cyclase activities were observed. Also, PhA added directly to adenylate cyclase assays at concentrations as high as 100 microM produced no detectable inhibition of the membrane fraction adenylate cyclase activities. Nonetheless, our results suggest that adenylate cyclase activity in intact cells may be directly affected by physiological levels of PhA . Further, the similarities of carbachol [Butcher, R. W., Journal of Cyclic Nucleotide Research, 4:411 (1978)] and PhA inhibition support the hypothesis that carbachol (acetylcholine) exerts its effect on adenylate cyclase through alterations of the plasma membrane phospholipid composition.     

Inactivation of Cyclic AMP-Dependent Taurine Release from Astroglia

When astroglial cells are exposed to beta-adrenergic agonists for long periods of time (greater than 20 min), transient increases in taurine release and intracellular cyclic AMP (cAMP) are observed. Three phases of taurine release can be distinguished: activation, inactivation, and an elevated steady state. In this article, we present data describing the relationship between intracellular cAMP levels and inactivation of taurine release. To do this, we compared the apparent first-order rate constants for the inactivation of taurine release (ktau) with the apparent first-order rate constant for the decline of intracellular cAMP (kcAMP). We also measured ktau under experimental conditions that were chosen to provide a wide range of intracellular cAMP concentrations or to stimulate release without the involvement of the beta-adrenergic receptor and adenylate cyclase. When taurine release was stimulated with a saturating concentration of isoproterenol, the inactivation of release was significantly faster than the decline of intracellular cAMP. Furthermore, there were no significant differences in ktau measured under any of the experimental conditions used. Thus, inactivation of taurine release does not involve changes in the activity of the beta-adrenergic receptor and adenylate cyclase, i.e., desensitization, and appears to be independent of the intracellular concentration of cAMP. These results indicate that cAMP-mediated events can be regulated by mechanism(s) in addition to those that control receptor-adenylate cyclase interactions and the synthesis of cAMP.(ABSTRACT TRUNCATED AT 250 WORDS)     

Oscillatory isozymes as the simplest model for coupled biochemical oscillators

We analyze a simple model for two autocatalytic reactions catalyzed by two distinct isozymes transforming, with different kinetic properties, a given substrate into the same product. This two-variable system can be viewed as the simplest model of chemically coupled biochemical oscillators. Phase-plane analysis indicates how the kinetic differences between the two enzymes give rise to complex oscillatory phenomena such as the coexistence of a stable steady state and a stable limit cycle, or the co-existence of two simultaneously stable oscillatory regimes (birhythmicity). The model allows one to verify a previously proposed conjecture for the origin of birhythmicity. In other conditions, the system admits multiple oscillatory domains as a function of a control parameter whose variation gives rise to markedly different types of oscillations. The latter behavior provides an explanation for the occurrence of multiple modes of oscillations in thalamic neurons.     

Radiation disorder of enzyme synthesis in the perinatal period of ontogeny

A change of enzymatic differentiation in the rat liver during the perinatal developmental period after gamma-irradiation on the 7-9th and 19th days of embryogenesis in doses 0.5, 2 and 6 Gr has been shown on the example of glucose-6-phosphatase (G-6-P-ase) and tyrosine aminotransferase (TAT). The protein-synthesizing machinery was not damaged at these doses. The radiation inhibition of G-6-P-ase synthesis was relieved by the injection of thyroxine. A dependence was shown between the radiation increase of TAT activity and changes in cAMP system (increase of cAMP level, decrease of phosphodiesterase activity, intensification of response of adenylate cyclase complex to biogenic amines). A suggestion is put forward that the radiation damage of the enzymes under study is mediated by a change in the number of hormonal inductors.     

The possible participation of the cAMP system in the activation of ornithine decarboxylase in rat tissues following nonlethal fractionated gamma-irradiation]

A study was made of the activity of adenylate cyclase and cAMP-phosphodiesterase in rat thymus and liver various time intervals following nonlethal fractionated gamma-irradiation (2 Gy three times at a week interval). There was a positive correlation between the activity of cAMP metabolism enzymes and the radiation modification of ornithine decarboxylase (ODC) observed before. It is suggested that cAMP system is involved in ODC activity regulation in the exposed tissue.     

Initiation of multicellular differentiation in Dictyostelium discoideum is regulated by coronin A

Many biological systems respond to environmental changes by activating intracellular signaling cascades, resulting in an appropriate response. One such system is represented by the social amoeba Dictyostelium discoideum. When food sources become scarce, these unicellular cells can initiate a cAMP-driven multicellular aggregation program to ensure long-term survival. On starvation, the cells secrete conditioned medium factors that initiate cAMP signal transduction by inducing expression of genes such as cAMP receptors and adenylate cyclase. The mechanisms involved in the activation of the first pulses of cAMP release have been unclear. We here show a crucial role for the evolutionarily conserved protein coronin A in the initiation of the cAMP response. On starvation, coronin A–deficient cells failed to up-regulate the expression of cAMP-regulated genes, thereby failing to initiate development, despite a normal prestarvation response. Of importance, external addition of cAMP to coronin A–deficient cells resulted in normal chemotaxis and aggregate formation, thereby restoring the developmental program and suggesting a functional cAMP relay in the absence of coronin A. These results suggest that coronin A is dispensable for cAMP sensing, chemotaxis, and development per se but is part of a signal transduction cascade essential for system initiation leading to multicellular development in Dictyostelium.     

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.     

Coexistence of multiple propagating wave-fronts in a regulated enzyme reaction model: link with birhythmicity and multi-threshold excitability

We analyze the spatial propagation of wave-fronts in a biochemical model for a product-activated enzyme reaction with non-linear recycling of product into substrate. This model was previously studied as a prototype for the coexistence of two distinct types of periodic oscillations (birhythmicity). The system is initially in a stable steady state characterized by the property of multi-threshold excitability, by which it is capable of amplifying in a pulsatory manner perturbations exceeding two distinct thresholds. In such conditions, when the effect of diffusion is taken into account, two distinct wave-fronts are shown to propagate in space, with distinct amplitudes and velocities, for the same set of parameter values, depending on the magnitude of the initial perturbation. Such a multiplicity of propagating wave-fronts represents a new type of coexistence of multiple modes of dynamic behavior, besides the coexistence involving, under spatially homogeneous conditions, multiple steady states, multiple periodic regimes, or a combination of steady and periodic regimes.     

Developmental changes in functional expression and beta-adrenergic regulation of I(f) in the heart of mouse embryo

The hyperpolarization-activated current (I(f)) plays an important role in determining the spontaneous rate of cardiac pacemaker cells. The automatic rhythmicity also exists in working cells of embryonic heart, therefore we studied developmental changes in functional expression and beta-adrenergic regulation of I(f) in embryonic mouse heart. The expression of I(f) is high in early developmental stage (EDS) (10.5 d after coitus) ventricular myocytes, low in intermediate developmental stage (IDS) (13.5 d) atrial or ventricular myocytes and even lower in late developmental stage (LDS) (16.5 d) atrial or ventricular myocytes, indicating that these cells of the EDS embryonic heart have some properties of pacemaker cells. Beta-adrenergic agonist isoproterenol (ISO) stimulates I(f) in LDS but not in EDS cardiomyocytes, indicating that the beta-adrenergic regulation of I(f) is not mature in EDS embryonic heart. But forskolin (a direct activator of adenylate cyclase) and 8-Br-cAMP (a membrane-permeable analogue of cAMP) increase the amplitude of I(f) in EDS cells, indicating that adenylate cyclase and cAMP function fairly well at early stage of development. Furthermore, the results demonstrate that I(f) is modulated by phosphorylation via cAMP dependent PKA both in EDS and LDS cells.