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.     

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.     

Stimulus‐dependent dynamics of p53 in single cells

Many biological networks respond to various inputs through a common signaling molecule that triggers distinct cellular outcomes. One potential mechanism for achieving specific input–output relationships is to trigger distinct dynamical patterns in response to different stimuli. Here we focused on the dynamics of p53, a tumor suppressor activated in response to cellular stress. We quantified the dynamics of p53 in individual cells in response to UV and observed a single pulse that increases in amplitude and duration in proportion to the UV dose. This graded response contrasts with the previously described series of fixed pulses in response to γ‐radiation. We further found that while γ‐triggered p53 pulses are excitable, the p53 response to UV is not excitable and depends on continuous signaling from the input‐sensing kinases. Using mathematical modeling and experiments, we identified feedback loops that contribute to specific features of the stimulus‐dependent dynamics of p53, including excitability and input‐duration dependency. Our study shows that different stresses elicit different temporal profiles of p53, suggesting that modulation of p53 dynamics might be used to achieve specificity in this network.     

Control of wave propagation in a biological excitable medium by an external electric field

We present an experimental evidence of effects of external electric fields (EFs) on the velocity of pulse waves propagating in a biological excitable medium. The excitable medium used is formed by a layer of starving cells of Dictyostelium discoideum through which the waves of increased concentration of cAMP propagate by reaction-diffusion mechanism. External dc EFs of low intensities (up to 5 V/cm) are shown to speed up the propagation of cAMP waves towards the positive electrode and slow it down towards the negative electrode. Electric fields were also found to support an emergence of new centers, emitting cAMP waves, in front of cAMP waves propagating towards the negative electrode.     

Frequency encoding of pulsatile signals of cAMP based on receptor desensitization in Dictyostelium cells

Dictyostelium discoideum amoebae represent a prototype for the study of periodic signaling in intercellular communication. These cells synthesize cAMP in response to cAMP pulses. Cell responsiveness in Dictyostelium can be characterized by the capability to generate a large number of significant responses to cAMP signals in a given amount of time. The existence of a frequency of pulsatile cAMP signals yielding maximum responsiveness is demonstrated by analysis of a realistic model for cAMP synthesis, based on receptor desensitization. The optimal frequency of stimulation closely depends on the kinetics of receptor desensitization and resensitization in target cells. Synthesis of cAMP is determined both in conditions where cells are not excitable and in conditions where they relay suprathreshold pulses of cAMP. Moreover, the effect of the stimulus waveform is investigated, and several measures of cell responsiveness are compared. The results provide an explanation for the effectiveness of cAMP pulses delivered at 5 min intervals, and for the failure of pulses delivered at 2 min intervals, in inducing slime mold development. Besides applying to intercellular communication in Dictyostelium, the present analysis bears on patterns of pulsatile signaling observed for hormones and growth factors. In all these cases, it appears that pulsatile signals can be encoded in terms of their frequency on the basis of desensitization in target cells.     

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.     

Gene circuit designs for noisy excitable dynamics

Certain cellular processes take the form of activity pulses that can be interpreted in terms of noise-driven excitable dynamics. Here we present an overview of different gene circuit architectures that exhibit excitable pulses of protein expression, when subject to molecular noise. Different types of excitable dynamics can occur depending on the bifurcation structure leading to the specific excitable phase-space topology. The bifurcation structure is not, however, linked to a particular circuit architecture. Thus a given gene circuit design can sustain different classes of excitable dynamics depending on the system parameters.     

Spiral Wave Propagation in Communities with Spatially Correlated Heterogeneity

Many multicellular communities propagate signals in a directed manner via excitable waves. Cell-to-cell heterogeneity is a ubiquitous feature of multicellular communities, but the effects of heterogeneity on wave propagation are still unclear. Here, we use a minimal FitzHugh-Nagumo-type model to investigate excitable wave propagation in a two-dimensional heterogeneous community. The model shows three dynamic regimes in which waves either propagate directionally, die out, or spiral indefinitely, and we characterize how these regimes depend on the heterogeneity parameters. We find that in some parameter regimes, spatial correlations in the heterogeneity enhance directional propagation and suppress spiraling. However, in other regimes, spatial correlations promote spiraling, a surprising feature that we explain by demonstrating that these spirals form by a second, distinct mechanism. Finally, we characterize the dynamics using techniques from percolation theory. Despite the fact that percolation theory does not completely describe the dynamics quantitatively because it neglects the details of the excitable propagation, we find that it accounts for the transitions between the dynamic regimes and the general dependency of the spiral period on the heterogeneity and thus provides important insights. Our results reveal that the spatial structure of cell-to-cell heterogeneity can have important consequences for signal propagation in cellular communities.     

Computational investigation of the dynamic control of cAMP signaling by PDE4 isoform types

Cyclic adenosine monophosphate (cAMP) is a generic signaling molecule that, through precise control of its signaling dynamics, exerts distinct cellular effects. Consequently, aberrant cAMP signaling can have detrimental effects. Phosphodiesterase 4 (PDE4) enzymes profoundly control cAMP signaling and comprise different isoform types wherein enzymatic activity is modulated by differential feedback mechanisms. Because these feedback dynamics are non-linear and occur coincidentally, their effects are difficult to examine experimentally but can be well simulated computationally. Through understanding the role of PDE4 isoform types in regulating cAMP signaling, PDE4-targeted therapeutic strategies can be better specified. Here, we established a computational model to study how feedback mechanisms on different PDE4 isoform types lead to dynamic, isoform-specific control of cAMP signaling. Ordinary differential equations describing cAMP dynamics were implemented in the VirtualCell environment. Simulations indicated that long PDE4 isoforms exert the most profound control on oscillatory cAMP signaling, as opposed to the PDE4-mediated control of single cAMP input pulses. Moreover, elevating cAMP levels or decreasing PDE4 levels revealed different effects on downstream signaling. Together these results underline that cAMP signaling is distinctly regulated by different PDE4 isoform types and that this isoform specificity should be considered in both computational and experimental follow-up studies to better define PDE4 enzymes as therapeutic targets in diseases in which cAMP signaling is aberrant.     

Cyclic adenosine monophosphate (cAMP) signaling in melanocyte pigmentation and melanomagenesis

The second messenger cyclic adenosine monophosphate (cAMP) regulates numerous functions in both benign melanocytes and melanoma cells. cAMP is generated from two distinct sources, transmembrane and soluble adenylyl cyclases (tmAC and sAC, respectively), and is degraded by a family of proteins called phosphodiesterases (PDEs). cAMP signaling can be regulated in many different ways and can lead to varied effects in melanocytes. It was recently revealed that distinct cAMP signaling pathways regulate pigmentation by either altering pigment gene expression or the pH of melanosomes. In the context of melanoma, many studies report seemingly contradictory roles for cAMP in tumorigenesis. For example, cAMP signaling has been implicated in both cancer promotion and suppression, as well as both therapy resistance and sensitization. This conundrum in the field may be explained by the fact that cAMP signals in discrete microdomains and each microdomain can mediate differential cellular functions. Here, we review the role of cAMP signaling microdomains in benign melanocyte biology, focusing on pigmentation, and in melanomagenesis.     

The light-induced increase of carbohydrate metabolism in glial cells of the honeybee retina is not mediated by K+ movement nor by cAMP

The retina of the honeybee drone is a nervous tissue in which glial cells and photoreceptor neurons constitute two distinct metabolic compartments. The phosphorylation of glucose and its subsequent incorporation into glycogen occur essentially in glia, whereas O2 consumption occurs in the photoreceptors. After [3H] glucose loading of superfused retinal slices, light stimulation induced a significant rise in [3H] glycogen turnover in the glia. This occurs without a concomitant covalent modification of glycogen enzymes. Probably only an increase or a decrease of the availability of [3H] glycosyls that are incorporated into glycogen is necessary. As only photoreceptors are directly excitable by light, we searched for a signal that stimulates glycogen metabolism in the glia. Although K+ in extracellular space and glia increases after repetitive light stimulation, increasing bath K+ in the dark did not mimic the metabolic effects of light, despite an equivalent increase of K+ in the extracellular space and glia. We subsequently explored the role of cAMP, a universal intracellular second messenger. Exposure of retinal slices to the adenylate-cyclase activator forskolin induced an expected increase in the rate of formation of cAMP, but only partially mimicked the metabolic effects of light. Furthermore, light stimulation failed to induce a rise in the rate of formation of cAMP. We conclude that in this nervous system, without synapses, neither K+ nor cAMP mediates the effect of light stimulation on intraglial glucose metabolism.     

Cyclic adenosine-3',5-monophosphate in Streptomyces antibioticus and its possible role in regulating oleandomycin biosynthesis and the growth of the culture

When glucose is substituted for sucrose in the fermentation medium for Streptomyces antibioticus, the pH of the cultural broth becomes more acidic, the rate of protein synthesis in the mycelium rises, and the rate of oleandomycin synthesis decreases abruptly. The dynamics of cAMP (cyclic monophosphate) accumulation was studied in the process of biosynthesis by the culture in different media. Most of the synthesized cAMP (80-90%) was shown to be excreted into the medium. Glucose stimulates cAMP synthesis and excretion from the mycelium by a factor of 1.5-3. No distinct correlation was found between cAMP content in S. antibioticus cells and the level of oleandomycin biosynthesis. A correlation between changes in the concentration of exocellular cAMP and protein synthesis in the mycelium suggests that the excreted cAMP may be involved in regulating the growth of the culture producing the antibiotic.     

Parallel tracking of cAMP and PKA signaling dynamics in living cells with FRET-based fluorescent biosensors

Proper regulation of cellular functions relies upon a network of intricately interwoven signaling cascades in which multiple components must be tightly coordinated both spatially and temporally. To better understand how this network operates within the cellular environment, it is important to define the parameters of various signaling activities and to reveal the characteristic activity structure of the signaling cascades. This task calls for molecular tools capable of parallelly tracking multiple activities in cellular time and space with high sensitivity and specificity. Here, we present new biosensors developed based on two conveniently co-imageable FRET pairs consisting of CFP-RFP and YFP-RFP, specifically Cerulean-mCherry and mVenus-mCherry, for parallel monitoring of PKA activity and cAMP dynamics in living cells. These biosensors provide orthogonal readouts in co-imaging experiments and display a comparable dynamic range to their cyan-yellow counterparts. Characterization of signaling responses induced by a panel of pathway activators using this co-imaging approach reveals distinct activity and kinetic patterns of cAMP and PKA dynamics arising from differential signal activation and processing. This technique is therefore useful for parallel monitoring of multiple signaling dynamics in single living cells and represents a promising approach towards a more precise characterization of the activity structure of the dynamic cellular signaling network.     

Excitable Signal Transduction Induces Both Spontaneous and Directional Cell Asymmetries in the Phosphatidylinositol Lipid Signaling System for Eukaryotic Chemotaxis

Intracellular asymmetry in the signaling network works as a compass to navigate eukaryotic chemotaxis in response to guidance cues. Although the compass variable can be derived from a self-organization dynamics, such as excitability, the responsible mechanism remains to be clarified. Here, we analyzed the spatiotemporal dynamics of the phosphatidylinositol 3,4,5-trisphosphate (PtdInsP3) pathway, which is crucial for chemotaxis. We show that spontaneous activation of PtdInsP3-enriched domains is generated by an intrinsic excitable system. Formation of the same signal domain could be triggered by various perturbations, such as short impulse perturbations that triggered the activation of intrinsic dynamics to form signal domains. We also observed the refractory behavior exhibited in typical excitable systems. We show that the chemotactic response of PtdInsP3 involves biasing the spontaneous excitation to orient the activation site toward the chemoattractant. Thus, this biased excitability embodies the compass variable that is responsible for both random cell migration and biased random walk. Our finding may explain how cells achieve high sensitivity to and robust coordination of the downstream activation that allows chemotactic behavior in the noisy environment outside and inside the cells.     

Excitable Signal Transduction Induces Both Spontaneous and Directional Cell Asymmetries in the Phosphatidylinositol Lipid Signaling System for Eukaryotic Chemotaxis

Intracellular asymmetry in the signaling network works as a compass to navigate eukaryotic chemotaxis in response to guidance cues. Although the compass variable can be derived from a self-organization dynamics, such as excitability, the responsible mechanism remains to be clarified. Here, we analyzed the spatiotemporal dynamics of the phosphatidylinositol 3,4,5-trisphosphate (PtdInsP3) pathway, which is crucial for chemotaxis. We show that spontaneous activation of PtdInsP3-enriched domains is generated by an intrinsic excitable system. Formation of the same signal domain could be triggered by various perturbations, such as short impulse perturbations that triggered the activation of intrinsic dynamics to form signal domains. We also observed the refractory behavior exhibited in typical excitable systems. We show that the chemotactic response of PtdInsP3 involves biasing the spontaneous excitation to orient the activation site toward the chemoattractant. Thus, this biased excitability embodies the compass variable that is responsible for both random cell migration and biased random walk. Our finding may explain how cells achieve high sensitivity to and robust coordination of the downstream activation that allows chemotactic behavior in the noisy environment outside and inside the cells.     

Dynamically driven protein allostery

Allosteric interactions are typically considered to proceed through a series of discrete changes in bonding interactions that alter the protein conformation. Here we show that allostery can be mediated exclusively by transmitted changes in protein motions. We have characterized the negatively cooperative binding of cAMP to the dimeric catabolite activator protein (CAP) at discrete conformational states. Binding of the first cAMP to one subunit of a CAP dimer has no effect on the conformation of the other subunit. The dynamics of the system, however, are modulated in a distinct way by the sequential ligand binding process, with the first cAMP partially enhancing and the second cAMP completely quenching protein motions. As a result, the second cAMP binding incurs a pronounced conformational entropic penalty that is entirely responsible for the observed cooperativity. The results provide strong support for the existence of purely dynamics-driven allostery.     

Interplay of Ca2+ and cAMP signaling in the insulin-secreting MIN6 beta-cell line

Ca2+ and cAMP are important second messengers that regulate multiple cellular processes. Although previous studies have suggested direct interactions between Ca2+ and cAMP signaling pathways, the underlying mechanisms remain unresolved. In particular, direct evidence for Ca2+-regulated cAMP production in living cells is incomplete. Genetically encoded fluorescence resonance energy transfer-based biosensors have made possible real-time imaging of spatial and temporal gradients of intracellular cAMP concentration in single living cells. Here, we used confocal microscopy, fluorescence resonance energy transfer, and insulin-secreting MIN6 cells expressing Epac1-camps, a biosynthetic unimolecular cAMP indicator, to better understand the role of intracellular Ca2+ in cAMP production. We report that depolarization with high external K+, tolbutamide, or glucose caused a rapid increase in cAMP that was dependent on extracellular Ca2+ and inhibited by nitrendipine, a Ca2+ channel blocker, or 2',5'-dideoxyadenosine, a P-site antagonist of transmembrane adenylate cyclases. Stimulation of MIN6 cells with glucose in the presence of tetraethylammonium chloride generated concomitant Ca2+ and cAMP oscillations that were abolished in the absence of extracellular Ca2+ and blocked by 2',5'-dideoxyadenosine or 3-isobutyl-1-methylxanthine, an inhibitor of phosphodiesterase. Simultaneous measurements of Ca2+ and cAMP concentrations with Fura-2 and Epac1-camps, respectively, revealed a close temporal and causal interrelationship between the increases in cytoplasmic Ca2+ and cAMP levels following membrane depolarization. These findings indicate highly coordinated interplay between Ca2+ and cAMP signaling in electrically excitable endocrine cells and suggest that Ca2+-dependent cAMP oscillations are derived from an increase in adenylate cyclase activity and periodic activation and inactivation of cAMP-hydrolyzing phosphodiesterase.     

The emergence of wave emitting centres in an excitable medium

The response of an excitable biological medium to a double local stimulus is considered within the context of a mathematical model for a layer of starving cells of Dictyostelium discoideum, with both spatially one- and two-dimensional (1D and 2D) system being investigated. In contrast to the response usually seen in excitable media, whereby each superthreshold stimulus delivered to the relaxed medium results in the initiation of just one travelling wave, a source emitting a sequence of waves can develop in the present excitable medium after the second stimulus. In a 1D system, only transient wave sources forming a limited number of waves are found. In 2D systems, a permanent wave sources consisting in a pair of spirals are observed as well as the transient wave sources forming circular wave patterns. The general features of the medium dynamics that underlie the observed responses to the double stimulus are discussed.     

Store-operated calcium entry in physiology and pathology of mammalian cells

One of the numerous calcium-involving processes in mammalian cells is store-operated calcium entry (SOCE) -- the process in which depletion of calcium stores in the endoplasmic reticulum (ER) induces calcium influx from the extracellular space. Previously supposed to function only in non-excitable cells, SOCE is now known to play a role also in such excitable cells as neurons, muscles and neuroendocrine cells and is found in many different cell types. SOCE participates not only in processes dependent on ER calcium level but also specifically regulates some important processes such as cAMP production, T lymphocyte activation or induction of long-term potentiation. Impairment of SOCE can be an element of numerous disorders such as acute pancreatitis, primary immunodeficiency and, since it can take part in apoptosis or cell cycle regulation, SOCE may also be partially responsible for such serious disorders as Alzheimer disease and many types of cancer. Even disturbances in the 'servant' role of maintaining ER calcium level may cause serious effects because they can lead to ER homeostasis disturbance, influencing gene expression, protein synthesis and processing, and the cell cycle.     

Visualizing PI3 kinase-mediated cell-cell signaling during Dictyostelium development

BACKGROUND: Starving amoebae of Dictyostelium discoideum communicate by relaying extracellular cAMP signals, which direct chemotactic movement, resulting in the aggregation of thousands of cells into multicellular aggregates. Both cAMP relay and chemotaxis require the activation of PI3 kinase signaling. The spatiotemporal dynamics of PI3 kinase signaling can be followed in individual cells via the cAMP-induced membrane recruitment of a GFP-tagged PH domain-containing protein, CRAC, which is required for the activation of adenylylcyclase.RESULTS: We show that polarized periodic CRAC-GFP translocation occurs during the aggregation and mound stages of development in response to periodic cAMP signals. The duration of CRAC translocation to the membrane is determined by the duration of the rising phase of the cAMP signal. The system shows rapid adaptation and responds to the rate of change of the extracellular cAMP concentration. When the cells are in close contact, it takes 10 s for the signal to propagate from one cell to the next. In slugs, all cells show a permanent polarized PI3 kinase signaling in their leading edge, which is dependent on cell-cell contact.CONCLUSIONS: Measuring the redistribution of GFP-tagged CRAC has enabled us to study the dynamics of PI3 kinase-mediated cell-cell communication at the individual cell level in the multicellular stages of Dictyostelium development. This approach should also be useful to study the interactions between cell-cell signaling, cell polarization, and movement in the development of other organisms.