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1.
Nat Commun ; 14(1): 2770, 2023 05 13.
Article in English | MEDLINE | ID: mdl-37179392

ABSTRACT

Perceptual decisions are complete when a continuously updated score of sensory evidence reaches a threshold. In Drosophila, αß core Kenyon cells (αßc KCs) of the mushroom bodies integrate odor-evoked synaptic inputs to spike threshold at rates that parallel the speed of olfactory choices. Here we perform a causal test of the idea that the biophysical process of synaptic integration underlies the psychophysical process of bounded evidence accumulation in this system. Injections of single brief, EPSP-like depolarizations into the dendrites of αßc KCs during odor discrimination, using closed-loop control of a targeted opsin, accelerate decision times at a marginal cost of accuracy. Model comparisons favor a mechanism of temporal integration over extrema detection and suggest that the optogenetically evoked quanta are added to a growing total of sensory evidence, effectively lowering the decision bound. The subthreshold voltage dynamics of αßc KCs thus form an accumulator memory for sequential samples of information.


Subject(s)
Odorants , Smell , Animals , Smell/physiology , Drosophila/physiology , Mushroom Bodies/physiology
2.
Curr Biol ; 31(22): 4911-4922.e4, 2021 11 22.
Article in English | MEDLINE | ID: mdl-34610272

ABSTRACT

The mushroom bodies of Drosophila contain circuitry compatible with race models of perceptual choice. When flies discriminate odor intensity differences, opponent pools of αß core Kenyon cells (on and off αßc KCs) accumulate evidence for increases or decreases in odor concentration. These sensory neurons and "antineurons" connect to a layer of mushroom body output neurons (MBONs) which bias behavioral intent in opposite ways. All-to-all connectivity between the competing integrators and their MBON partners allows for correct and erroneous decisions; dopaminergic reinforcement sets choice probabilities via reciprocal changes to the efficacies of on and off KC synapses; and pooled inhibition between αßc KCs can establish equivalence with the drift-diffusion formalism known to describe behavioral performance. The response competition network gives tangible form to many features envisioned in theoretical models of mammalian decision making, but it differs from these models in one respect: the principal variables-the fill levels of the integrators and the strength of inhibition between them-are represented by graded potentials rather than spikes. In pursuit of similar computational goals, a small brain may thus prioritize the large information capacity of analog signals over the robustness and temporal processing span of pulsatile codes.


Subject(s)
Mushroom Bodies , Neurons , Animals , Drosophila/physiology , Drosophila melanogaster/physiology , Mammals , Mushroom Bodies/physiology , Neurons/physiology , Odorants , Smell/physiology , Synapses/physiology
3.
J Neurosci ; 41(14): 3054-3067, 2021 04 07.
Article in English | MEDLINE | ID: mdl-33608385

ABSTRACT

Homeostatic matching of pre- and postsynaptic function has been observed in many species and neural structures, but whether transcriptional changes contribute to this form of trans-synaptic coordination remains unknown. To identify genes whose expression is altered in presynaptic neurons as a result of perturbing postsynaptic excitability, we applied a transcriptomics-friendly, temperature-inducible Kir2.1-based activity clamp at the first synaptic relay of the Drosophila olfactory system, a central synapse known to exhibit trans-synaptic homeostatic matching. Twelve hours after adult-onset suppression of activity in postsynaptic antennal lobe projection neurons of males and females, we detected changes in the expression of many genes in the third antennal segment, which houses the somata of presynaptic olfactory receptor neurons. These changes affected genes with roles in synaptic vesicle release and synaptic remodeling, including several implicated in homeostatic plasticity at the neuromuscular junction. At 48 h and beyond, the transcriptional landscape tilted toward protein synthesis, folding, and degradation; energy metabolism; and cellular stress defenses, indicating that the system had been pushed to its homeostatic limits. Our analysis suggests that similar homeostatic machinery operates at peripheral and central synapses and identifies many of its components. The presynaptic transcriptional response to genetically targeted postsynaptic perturbations could be exploited for the construction of novel connectivity tracing tools.SIGNIFICANCE STATEMENT Homeostatic feedback mechanisms adjust intrinsic and synaptic properties of neurons to keep their average activity levels constant. We show that, at a central synapse in the fruit fly brain, these mechanisms include changes in presynaptic gene expression that are instructed by an abrupt loss of postsynaptic excitability. The trans-synaptically regulated genes have roles in synaptic vesicle release and synapse remodeling; protein synthesis, folding, and degradation; and energy metabolism. Our study establishes a role for transcriptional changes in homeostatic synaptic plasticity, points to mechanistic commonalities between peripheral and central synapses, and potentially opens new opportunities for the development of connectivity-based gene expression systems.


Subject(s)
Homeostasis/physiology , Neuronal Plasticity/physiology , Presynaptic Terminals/metabolism , Synapses/genetics , Synapses/metabolism , Animals , Animals, Genetically Modified , Arthropod Antennae/innervation , Arthropod Antennae/metabolism , Drosophila , Female , Gene Expression
4.
Nature ; 568(7751): 230-234, 2019 04.
Article in English | MEDLINE | ID: mdl-30894743

ABSTRACT

The essential but enigmatic functions of sleep1,2 must be reflected in molecular changes sensed by the brain's sleep-control systems. In the fruitfly Drosophila, about two dozen sleep-inducing neurons3 with projections to the dorsal fan-shaped body (dFB) adjust their electrical output to sleep need4, via the antagonistic regulation of two potassium conductances: the leak channel Sandman imposes silence during waking, whereas increased A-type currents through Shaker support tonic firing during sleep5. Here we show that oxidative byproducts of mitochondrial electron transport6,7 regulate the activity of dFB neurons through a nicotinamide adenine dinucleotide phosphate (NADPH) cofactor bound to the oxidoreductase domain8,9 of Shaker's KVß subunit, Hyperkinetic10,11. Sleep loss elevates mitochondrial reactive oxygen species in dFB neurons, which register this rise by converting Hyperkinetic to the NADP+-bound form. The oxidation of the cofactor slows the inactivation of the A-type current and boosts the frequency of action potentials, thereby promoting sleep. Energy metabolism, oxidative stress, and sleep-three processes implicated independently in lifespan, ageing, and degenerative disease6,12-14-are thus mechanistically connected. KVß substrates8,15,16 or inhibitors that alter the ratio of bound NADPH to NADP+ (and hence the record of sleep debt or waking time) represent prototypes of potential sleep-regulatory drugs.


Subject(s)
Drosophila melanogaster/physiology , Mitochondria/metabolism , Potassium Channels/chemistry , Potassium Channels/metabolism , Protein Subunits/metabolism , Sleep/physiology , Action Potentials , Animals , Drosophila Proteins/metabolism , Drosophila melanogaster/cytology , Electron Transport , Energy Metabolism , Female , Luminescent Proteins/metabolism , NADP/metabolism , Neurons/metabolism , Optogenetics , Oxidation-Reduction , Oxidative Stress , Oxidoreductases/metabolism , Protein Subunits/chemistry , Reactive Oxygen Species , Recombinant Fusion Proteins/metabolism , Shaker Superfamily of Potassium Channels/metabolism , Sleep Aids, Pharmaceutical , Time Factors
5.
Annu Rev Biophys ; 48: 209-229, 2019 05 06.
Article in English | MEDLINE | ID: mdl-30786228

ABSTRACT

All an animal can do to infer the state of its environment is to observe the sensory-evoked activity of its own neurons. These inferences about the presence, quality, or similarity of objects are probabilistic and inform behavioral decisions that are often made in close to real time. Neural systems employ several strategies to facilitate sensory discrimination: Biophysical mechanisms separate the neuronal response distributions in coding space, compress their variances, and combine information from sequential observations. We review how these strategies are implemented in the olfactory system of the fruit fly. The emerging principles of odor discrimination likely apply to other neural circuits of similar architecture.


Subject(s)
Olfactory Perception , Smell , Animals , Drosophila , Humans , Neurons , Problem Solving
6.
Cell ; 173(4): 894-905.e13, 2018 05 03.
Article in English | MEDLINE | ID: mdl-29706545

ABSTRACT

Perceptual decisions require the accumulation of sensory information to a response criterion. Most accounts of how the brain performs this process of temporal integration have focused on evolving patterns of spiking activity. We report that subthreshold changes in membrane voltage can represent accumulating evidence before a choice. αß core Kenyon cells (αßc KCs) in the mushroom bodies of fruit flies integrate odor-evoked synaptic inputs to action potential threshold at timescales matching the speed of olfactory discrimination. The forkhead box P transcription factor (FoxP) sets neuronal integration and behavioral decision times by controlling the abundance of the voltage-gated potassium channel Shal (KV4) in αßc KC dendrites. αßc KCs thus tailor, through a particular constellation of biophysical properties, the generic process of synaptic integration to the demands of sequential sampling.


Subject(s)
Dendrites/metabolism , Drosophila Proteins/metabolism , Drosophila/physiology , Action Potentials/drug effects , Animals , Barium/pharmacology , Behavior, Animal/drug effects , Brain/metabolism , Brain/pathology , Cyclohexanols/pharmacology , Drosophila Proteins/genetics , Female , Forkhead Transcription Factors/genetics , Forkhead Transcription Factors/metabolism , Male , Neurons/cytology , Neurons/metabolism , Patch-Clamp Techniques , Receptors, Odorant/metabolism , Shal Potassium Channels/genetics , Shal Potassium Channels/metabolism , Smell , Synapses/metabolism
7.
Neuron ; 97(2): 378-389.e4, 2018 01 17.
Article in English | MEDLINE | ID: mdl-29307711

ABSTRACT

Sleep-promoting neurons in the dorsal fan-shaped body (dFB) of Drosophila are integral to sleep homeostasis, but how these cells impose sleep on the organism is unknown. We report that dFB neurons communicate via inhibitory transmitters, including allatostatin-A (AstA), with interneurons connecting the superior arch with the ellipsoid body of the central complex. These "helicon cells" express the galanin receptor homolog AstA-R1, respond to visual input, gate locomotion, and are inhibited by AstA, suggesting that dFB neurons promote rest by suppressing visually guided movement. Sleep changes caused by enhanced or diminished allatostatinergic transmission from dFB neurons and by inhibition or optogenetic stimulation of helicon cells support this notion. Helicon cells provide excitation to R2 neurons of the ellipsoid body, whose activity-dependent plasticity signals rising sleep pressure to the dFB. By virtue of this autoregulatory loop, dFB-mediated inhibition interrupts processes that incur a sleep debt, allowing restorative sleep to rebalance the books. VIDEO ABSTRACT.


Subject(s)
Drosophila melanogaster/physiology , Interneurons/physiology , Sleep/physiology , Animals , Brain/physiology , Circadian Rhythm , Drosophila Proteins/genetics , Drosophila Proteins/physiology , Excitatory Postsynaptic Potentials/physiology , Female , Homeostasis , Insect Hormones/physiology , Light , Locomotion/radiation effects , Male , Membrane Potentials , Nerve Tissue Proteins/physiology , Neurons/physiology , Optogenetics , Receptors, G-Protein-Coupled/genetics , Receptors, G-Protein-Coupled/physiology , Receptors, Neuropeptide/genetics , Receptors, Neuropeptide/physiology , Recombinant Fusion Proteins/metabolism , Vision, Ocular
8.
Elife ; 62017 03 06.
Article in English | MEDLINE | ID: mdl-28267430

ABSTRACT

Ion channel models are the building blocks of computational neuron models. Their biological fidelity is therefore crucial for the interpretation of simulations. However, the number of published models, and the lack of standardization, make the comparison of ion channel models with one another and with experimental data difficult. Here, we present a framework for the automated large-scale classification of ion channel models. Using annotated metadata and responses to a set of voltage-clamp protocols, we assigned 2378 models of voltage- and calcium-gated ion channels coded in NEURON to 211 clusters. The IonChannelGenealogy (ICGenealogy) web interface provides an interactive resource for the categorization of new and existing models and experimental recordings. It enables quantitative comparisons of simulated and/or measured ion channel kinetics, and facilitates field-wide standardization of experimentally-constrained modeling.


Subject(s)
Computational Biology/methods , Ion Channels/classification , Ion Channels/metabolism , Neurons/chemistry , Neurons/physiology , Databases, Factual , Models, Neurological
9.
Annu Rev Genet ; 50: 571-594, 2016 Nov 23.
Article in English | MEDLINE | ID: mdl-27732792

ABSTRACT

Genetically encoded tools for visualizing and manipulating neurons in vivo have led to significant advances in neuroscience, in large part because of the ability to target expression to specific cell populations of interest. Current methods enable targeting based on marker gene expression, development, anatomical projection pattern, synaptic connectivity, and recent activity as well as combinations of these factors. Here, we review these methods, focusing on issues of practical implementation as well as areas for future improvement.


Subject(s)
Genetic Techniques , Neurons/physiology , Neurosciences/methods , Animals , Animals, Genetically Modified , Gene Expression , Gene Transfer Techniques , Humans , Promoter Regions, Genetic , Transgenes
10.
Nature ; 536(7616): 333-337, 2016 08 18.
Article in English | MEDLINE | ID: mdl-27487216

ABSTRACT

Sleep disconnects animals from the external world, at considerable risks and costs that must be offset by a vital benefit. Insight into this mysterious benefit will come from understanding sleep homeostasis: to monitor sleep need, an internal bookkeeper must track physiological changes that are linked to the core function of sleep. In Drosophila, a crucial component of the machinery for sleep homeostasis is a cluster of neurons innervating the dorsal fan-shaped body (dFB) of the central complex. Artificial activation of these cells induces sleep, whereas reductions in excitability cause insomnia. dFB neurons in sleep-deprived flies tend to be electrically active, with high input resistances and long membrane time constants, while neurons in rested flies tend to be electrically silent. Correlative evidence thus supports the simple view that homeostatic sleep control works by switching sleep-promoting neurons between active and quiescent states. Here we demonstrate state switching by dFB neurons, identify dopamine as a neuromodulator that operates the switch, and delineate the switching mechanism. Arousing dopamine caused transient hyperpolarization of dFB neurons within tens of milliseconds and lasting excitability suppression within minutes. Both effects were transduced by Dop1R2 receptors and mediated by potassium conductances. The switch to electrical silence involved the downregulation of voltage-gated A-type currents carried by Shaker and Shab, and the upregulation of voltage-independent leak currents through a two-pore-domain potassium channel that we term Sandman. Sandman is encoded by the CG8713 gene and translocates to the plasma membrane in response to dopamine. dFB-restricted interference with the expression of Shaker or Sandman decreased or increased sleep, respectively, by slowing the repetitive discharge of dFB neurons in the ON state or blocking their entry into the OFF state. Biophysical changes in a small population of neurons are thus linked to the control of sleep-wake state.


Subject(s)
Drosophila melanogaster/physiology , Homeostasis , Sleep/physiology , Animals , Cell Membrane/metabolism , Dopamine/metabolism , Dopaminergic Neurons/metabolism , Drosophila melanogaster/anatomy & histology , Drosophila melanogaster/cytology , Electric Conductivity , Female , Male , Neurotransmitter Agents/metabolism , Optogenetics , Potassium/metabolism , Potassium Channels/chemistry , Potassium Channels/metabolism , Protein Transport , Receptors, Dopamine/metabolism , Shaker Superfamily of Potassium Channels/metabolism , Sleep Deprivation , Sleep Initiation and Maintenance Disorders/physiopathology , Time Factors , Wakefulness/physiology
11.
Nat Commun ; 7: 10584, 2016 Feb 04.
Article in English | MEDLINE | ID: mdl-26843463

ABSTRACT

GABAergic interneurons play key roles in cortical circuits, yet little is known about their early connectivity. Here we use glutamate uncaging and a novel optogenetic strategy to track changes in the afferent and efferent synaptic connections of developing neocortical interneuron subtypes. We find that Nkx2-1-derived interneurons possess functional synaptic connections before emerging pyramidal cell networks. Subsequent interneuron circuit maturation is both subtype and layer dependent. Glutamatergic input onto fast spiking (FS), but not somatostatin-positive, non-FS interneurons increases over development. Interneurons of both subtype located in layers (L) 4 and 5b engage in transient circuits that disappear after the somatosensory critical period. These include a pathway mediated by L5b somatostatin-positive interneurons that specifically targets L4 during the first postnatal week. The innervation patterns of immature cortical interneuron circuits are thus neither static nor progressively strengthened but follow a layer-specific choreography of transient connections that differ from those of the adult brain.


Subject(s)
GABAergic Neurons , Interneurons , Neocortex/growth & development , Nerve Net/growth & development , Synapses , Animals , Animals, Newborn , Cluster Analysis , Green Fluorescent Proteins , Immunohistochemistry , Mice , Nuclear Proteins , Optogenetics , Patch-Clamp Techniques , Principal Component Analysis , Pyramidal Cells , Thyroid Nuclear Factor 1 , Transcription Factors
13.
Science ; 344(6186): 901-4, 2014 May 23.
Article in English | MEDLINE | ID: mdl-24855268

ABSTRACT

Decisions take time if information gradually accumulates to a response threshold, but the neural mechanisms of integration and thresholding are unknown. We characterized a decision process in Drosophila that bears the behavioral signature of evidence accumulation. As stimulus contrast in trained odor discriminations decreased, reaction times increased and perceptual accuracy declined, in quantitative agreement with a drift-diffusion model. FoxP mutants took longer than wild-type flies to form decisions of similar or reduced accuracy, especially in difficult, low-contrast tasks. RNA interference with FoxP expression in αß core Kenyon cells, or the overexpression of a potassium conductance in these neurons, recapitulated the FoxP mutant phenotype. A mushroom body subdomain whose development or function require the transcription factor FoxP thus supports the progression of a decision toward commitment.


Subject(s)
Behavior, Animal , Decision Making , Drosophila Proteins/physiology , Drosophila melanogaster/physiology , Forkhead Transcription Factors/physiology , Psychomotor Performance , Reaction Time/physiology , Animals , Cell Line , Drosophila Proteins/genetics , Drosophila melanogaster/genetics , Forkhead Transcription Factors/genetics , Mushroom Bodies/growth & development , Mushroom Bodies/metabolism , Mutation , Neurons/physiology , Odorants , RNA Interference , Reaction Time/genetics , Smell
14.
PLoS Biol ; 12(2): e1001798, 2014 Feb.
Article in English | MEDLINE | ID: mdl-24586113

ABSTRACT

Although neocortical connectivity is remarkably stereotyped, the abundance of some wiring motifs varies greatly between cortical areas. To examine if regional wiring differences represent functional adaptations, we have used optogenetic raster stimulation to map the laminar distribution of GABAergic interneurons providing inhibition to pyramidal cells in layer 2/3 (L2/3) of adult mouse barrel cortex during sensory deprivation and recovery. Whisker trimming caused large, motif-specific changes in inhibitory synaptic connectivity: ascending inhibition from deep layers 4 and 5 was attenuated to 20%-45% of baseline, whereas inhibition from superficial layers remained stable (L2/3) or increased moderately (L1). The principal mechanism of deprivation-induced plasticity was motif-specific changes in inhibitory-to-excitatory connection probabilities; the strengths of extant connections were left unaltered. Whisker regrowth restored the original balance of inhibition from deep and superficial layers. Targeted, reversible modifications of specific inhibitory wiring motifs thus contribute to the adaptive remodeling of cortical circuits.


Subject(s)
GABAergic Neurons/physiology , Interneurons/physiology , Neocortex/cytology , Neuronal Plasticity , Adaptation, Physiological , Animals , Channelrhodopsins , In Vitro Techniques , Mice, Inbred C57BL , Mice, Transgenic , Neocortex/physiology , Nerve Net , Organ Specificity , Sensory Deprivation , Synapses/physiology , Touch Perception , Vibrissae/innervation
15.
Neuron ; 81(4): 860-72, 2014 02 19.
Article in English | MEDLINE | ID: mdl-24559676

ABSTRACT

Sleep is under homeostatic control, but the mechanisms that sense sleep need and correct sleep deficits remain unknown. Here, we report that sleep-promoting neurons with projections to the dorsal fan-shaped body (FB) form the output arm of Drosophila's sleep homeostat. Homeostatic sleep control requires the Rho-GTPase-activating protein encoded by the crossveinless-c (cv-c) gene in order to transduce sleep pressure into increased electrical excitability of dorsal FB neurons. cv-c mutants exhibit decreased sleep time, diminished sleep rebound, and memory deficits comparable to those after sleep loss. Targeted ablation and rescue of Cv-c in sleep-control neurons of the dorsal FB impair and restore, respectively, normal sleep patterns. Sleep deprivation increases the excitability of dorsal FB neurons, but this homeostatic adjustment is disrupted in short-sleeping cv-c mutants. Sleep pressure thus shifts the input-output function of sleep-promoting neurons toward heightened activity by modulating ion channel function in a mechanism dependent on Cv-c.


Subject(s)
Drosophila Proteins/genetics , Drosophila melanogaster/metabolism , GTPase-Activating Proteins/genetics , Homeostasis/physiology , Mutation/genetics , Neurons/metabolism , Sleep/genetics , Animals , GTPase-Activating Proteins/metabolism , Sleep Deprivation/genetics , Sleep Deprivation/metabolism
16.
Nat Neurosci ; 17(4): 559-68, 2014 Apr.
Article in English | MEDLINE | ID: mdl-24561998

ABSTRACT

Sparse coding may be a general strategy of neural systems for augmenting memory capacity. In Drosophila melanogaster, sparse odor coding by the Kenyon cells of the mushroom body is thought to generate a large number of precisely addressable locations for the storage of odor-specific memories. However, it remains untested how sparse coding relates to behavioral performance. Here we demonstrate that sparseness is controlled by a negative feedback circuit between Kenyon cells and the GABAergic anterior paired lateral (APL) neuron. Systematic activation and blockade of each leg of this feedback circuit showed that Kenyon cells activated APL and APL inhibited Kenyon cells. Disrupting the Kenyon cell-APL feedback loop decreased the sparseness of Kenyon cell odor responses, increased inter-odor correlations and prevented flies from learning to discriminate similar, but not dissimilar, odors. These results suggest that feedback inhibition suppresses Kenyon cell activity to maintain sparse, decorrelated odor coding and thus the odor specificity of memories.


Subject(s)
Learning/physiology , Mushroom Bodies/physiology , Olfactory Perception/physiology , Up-Regulation/physiology , Animals , Animals, Genetically Modified , Behavior, Animal/physiology , Discrimination, Psychological/physiology , Drosophila Proteins/genetics , Drosophila melanogaster/physiology , Feedback, Physiological/physiology , GABAergic Neurons/cytology , GABAergic Neurons/metabolism , GABAergic Neurons/physiology , Mushroom Bodies/cytology , Neural Inhibition/physiology , Odorants
17.
Neuron ; 81(6): 1442, 2014 Mar 19.
Article in English | MEDLINE | ID: mdl-28898631
18.
Neuron ; 79(5): 932-44, 2013 Sep 04.
Article in English | MEDLINE | ID: mdl-24012006

ABSTRACT

Taking advantage of the well-characterized olfactory system of Drosophila, we derive a simple quantitative relationship between patterns of odorant receptor activation, the resulting internal representations of odors, and odor discrimination. Second-order excitatory and inhibitory projection neurons (ePNs and iPNs) convey olfactory information to the lateral horn, a brain region implicated in innate odor-driven behaviors. We show that the distance between ePN activity patterns is the main determinant of a fly's spontaneous discrimination behavior. Manipulations that silence subsets of ePNs have graded behavioral consequences, and effect sizes are predicted by changes in ePN distances. ePN distances predict only innate, not learned, behavior because the latter engages the mushroom body, which enables differentiated responses to even very similar odors. Inhibition from iPNs, which scales with olfactory stimulus strength, enhances innate discrimination of closely related odors, by imposing a high-pass filter on transmitter release from ePN terminals that increases the distance between odor representations.


Subject(s)
Brain/physiology , Discrimination, Psychological/physiology , Olfactory Receptor Neurons/physiology , Signal Transduction/physiology , Smell/physiology , Animals , Drosophila , Mushroom Bodies/physiology , Odorants , Olfactory Pathways/physiology
19.
Cold Spring Harb Protoc ; 2012(2): 213-7, 2012 Feb 01.
Article in English | MEDLINE | ID: mdl-22301651

ABSTRACT

pHluorins are pH-sensitive mutants of green fluorescent protein (GFP). Attached to proteins with defined cellular locations or itineraries, pHluorins report subcellular pH as well as protein transport between compartments of differing pH. Key applications in neurobiology include the optical detection of neurotransmitter release with synapto-pHluorins and their derivatives, as well as measurements of neurotransmitter receptor trafficking. This article describes the properties and uses of synapto-pHluorins, as well as their advantages and limitations.


Subject(s)
Green Fluorescent Proteins/metabolism , Staining and Labeling/methods , Synaptic Transmission/physiology , Genes, Reporter , Green Fluorescent Proteins/chemistry , Hydrogen-Ion Concentration
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