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# Voltage-dependent gating of SV channel TPC1 confers vacuole excitability

## Abstract

In contrast to the plasma membrane, the vacuole membrane has not yet been associated with electrical excitation of plants. Here, we show that mesophyll vacuoles from Arabidopsis sense and control the membrane potential essentially via the K+-permeable TPC1 and TPK channels. Electrical stimuli elicit transient depolarization of the vacuole membrane that can last for seconds. Electrical excitability is suppressed by increased vacuolar Ca2+ levels. In comparison to wild type, vacuoles from the fou2 mutant, harboring TPC1 channels insensitive to luminal Ca2+, can be excited fully by even weak electrical stimuli. The TPC1-loss-of-function mutant tpc1-2 does not respond to electrical stimulation at all, and the loss of TPK1/TPK3-mediated K+ transport affects the duration of TPC1-dependent membrane depolarization. In combination with mathematical modeling, these results show that the vacuolar K+-conducting TPC1 and TPK1/TPK3 channels act in concert to provide for Ca2+- and voltage-induced electrical excitability to the central organelle of plant cells.

## Introduction

Recordings of transient changes in electrical potential with numerous plants have provided ample evidence that the plasma membrane of land plants is excitable, a feature usually only attributed to specialized cells in the animal nervous system1. In animals, the action potential is carried by voltage-dependent cation channels2. So far, there is little information available regarding the ion channels underlying plant excitability, and knowledge about the role of the vacuole in electrical signaling is even more scant1. Excitability of the vacuole membrane was, however, recognized in Charophyceaen freshwater green algae. In Chara, the tonoplast action potential is coupled to the excitation of the plasma membrane via a cytosolic Ca2+ signal3,4, which stimulates the release of Cl ions from the vacuole and in turn leads to a transient vacuole polarization. The molecular nature of the ion channel activities underlying the Chara-type action potentials at the plasma membrane and vacuole membrane is hitherto unknown.

In the 1980s, patch clamp studies with higher plants identified a Ca2+-dependent Slowly activating Vacuole channel that was named the SV channel5,6. Two decades later, in Arabidopsis thaliana, the single copy gene TPC1 was shown to encode the SV channel7, a finding confirmed by studies in rice8. This Ca2+- and depolarization-activated non-selective cation channel can be found in the genomes of all vascular plants examined so far, and in moss, too9. TPC1-type channels are even found in animals; they are active, for instance, in the endosomes of human cells10. Plant and animal TPCs share sequence similarity to voltage-gated Ca2+ and Na+ channels and harbor two homologous Shaker-like domains (DI, DII) in tandem, each consisting of six transmembrane segments (S1-6 in DI and S7–12 in DII) and a pore-forming domain (P1, P2)11,12. The activity of plant TPCs is modulated by voltage and rise in cytosolic Ca2+ level; they are thus potential entities for Ca2+- and voltage-mediated signaling. For channel activation in response to rising cytoplasmic Ca2+ levels, plant (but not animal) TPCs contain two Ca2+-binding EF-hands in the linker region that connects the two Shaker-related modules7,11,12,13. In addition to TPC1 channels, tandem-pore potassium (TPK) channels are also equipped with EF hand motifs. They are activated upon a rise in the cytosolic Ca2+ concentration14,15, and in part contribute to the vacuolar Ca2+-dependent K+ conductance15,16. Among the four vacuolar-localized TPK family members, TPK1 and TPK3 are expressed in mesophyll cells (Arabidopsis eFP browser, http://bar.utoronto.ca/efp/cgi-bin/efpWeb.cgi).

Here, we document the electrical excitability of the vacuole membrane in higher plants. Electrical stimulation of Arabidopsis mesophyll vacuoles requires the presence of potassium ions, as well as expression of the K+ channels TPC1 and TPK1/TPK3.

## Results

### Excitability of the vacuole membrane

The polarization of the vacuole membrane was studied in the whole-vacuole configuration of the patch clamp technique, by employing the current clamp mode under K+-based symmetrical solute conditions in the vacuolar lumen and cytosol (pipette and bath solution, respectively). Under these conditions the membrane voltage rests at zero mV, the Nernst potential for K+ (EK)17. However, in planta, under non-stimulated conditions, the plant vacuole exhibits a hyperpolarized resting membrane voltage18, accomplished by two proton pumps. The V-type ATPase and PPiase actively translocate H+ into the vacuolar lumen powered by the consumption of ATP and PPi, respectively19. Therefore, to mimic the proton-pump-adjusted hyperpolarized ground state, currents were injected to maintain a negative resting voltage (−60 mV). To subsequently excite the vacuole membrane, a 200-ms-lasting depolarizing current pulse of +70 pA was injected. In response, the membrane voltage of wild type vacuoles was polarized in a process exhibiting three characteristic phases (Fig. 1a). Initially, the injected currents rapidly depolarized the membrane, appearing as a voltage spike with peak amplitude of approximately +65 mV (Fig. 1a, b). This spike phase was followed by relaxation to a depolarized plateau of about +14 mV, lasting until stimulus offset. Upon returning to pre-stimulation settings, the vacuole voltage did not immediately approach the −60 mV level but remained close to 0 mV (Nernst potential EK) for about half a second, before the potential relaxed to the initial −60 mV state again. When the stimulus strength was varied from 10 pA up to 1000 pA, the amplitude of the initial voltage spike and the stimulus plateau voltage increased (Fig. 1a, b). Additionally, the duration of the post-stimulus depolarization plateau prolonged in a stimulus-dependent manner (Fig. 1a, c). The stimulation interval from 10 to 1000 pA is well within the physiologically relevant range. At the lower end it is in the range of vacuole ATP-driven H+ pumps, which can generate up to 60 pA20, while at the upper end it is about 5- to 10-fold smaller than the usual TPC1 currents measured under voltage clamp conditions21.

### TPC1 is a prerequisite for vacuole membrane excitability

Two types of Ca2+-activated K+-permeable channels are targeted to the plant vacuole membrane: TPC1/SV and TPK channels16,22. To identify the molecular entity giving rise to vacuole excitability, we initially inspected the TPC1-loss-of-function mutant tpc1-27. Using tpc1-2 mesophyll vacuoles, current injections from 10 up to 1000 pA caused voltage spikes similar to those monitored with wild-type vacuoles. Electrical stimuli depolarized the vacuole membranes of wild-type and tpc1-2 mutant to a similar degree. This is related to the fact that at the resting membrane voltage TPC1 channels were initially closed (Supplementary Fig. 1a). During the stimulation episode, however, in wild-type vacuoles TPC1 channels activated after a delay, causing a partial repolarization. In contrast, vacuoles lacking TPC1 activity remained depolarized at the initial level throughout the entire stimulation phase. Thus, electrical stimulation of tpc1-2 vacuoles elicited neither relaxation of the voltage spike to a stimulus plateau nor a post-stimulus depolarization (Fig. 2a, d and Supplementary Fig. 1a, b).

The electrical phenotype of tpc1-2 vacuoles points to the TPC1/SV channel as a key factor for reaching the post-spike stimulus plateau and the following post-stimulus plateau. To further confirm this notion by an independent approach, in the wild type background the voltage-dependent activation of the TPC1/SV channel was inhibited by applying either Ca2+ to the vacuolar lumen or by replacing K+ with Na+ on both sides of the vacuole membrane. Both cations shifted the voltage threshold for TPC1 channel activation to more positive potentials23,24, leading to a decrease in steady-state current densities compared to K+ (e.g., at +100 mV by 71% in 1 mM Ca2+ and 87% in Na+; Supplementary Fig. 1c, d). The inhibitory effect of luminal Ca2+ on voltage-dependent TPC1 channel gating is linked to a Ca2+ binding site at the luminal side of the TPC1 channel protein11,12,23. Therefore, when the luminal Ca2+ concentration was increased to 1 mM, steady-state TPC1/SV currents significantly dropped (Supplementary Fig. 1c, d). Excitation experiments under these high luminal Ca2+ conditions caused similar voltage responses to low current injections with wild-type vacuoles as observed with vacuoles from the TPC1-loss-of-function mutant tpc1-2 in the absence of luminal Ca2+ (Fig. 2a, b, d, e and Supplementary Fig. 1a, b). The stimulus spike and stimulus plateau were comparable in amplitude. A pronounced post-stimulus depolarization plateau was not elicited. However, with increased stimulus strength (>150 pA) the stimulus plateau amplitudes triggered from vacuoles exposed to luminal high Ca2+ were smaller compared to tpc1-2 and became closer to those recorded from wild type vacuoles in the absence of luminal Ca2+ (Supplementary Fig. 1b). Thus, stronger current injections appeared to cause an increase in membrane conductance, but this rise was obviously still not enough to trigger pronounced post-stimulus depolarization plateaus, even not with the highest level of current injection (1000 pA) (Fig. 2e). Instead, only short-lasting post-stimulus depolarization phases were detected with wild type in the presence of 1 mM luminal Ca2+ (e.g., at 1000-pA injection: tplateau WT-0Ca = 8.06 ± 1.96 s, number of experiments n = 7, tplateau WT-1Ca = 0.14 ± 0.16 s, n = 5, means ± standard deviation; Fig. 2e).

Similar to elevated luminal Ca2+, Na+ loading in the vacuole also prevents voltage-dependent TPC1/SV channel activation24. Accordingly, Na+ shifted the activation threshold to more positive voltages (Supplementary Fig. 1c, d); and, as expected for impaired TPC1/SV channel function, the presence of luminal and cytosolic 150 mM Na+ had similar effects on excitability as shown for 1 mM luminal Ca2+. Current injections of 10 pA triggered comparable stimulus spike and stimulus plateau amplitudes in Na+- and K+-exposed vacuoles (Supplementary Fig. 1g, h). Upon stronger current injections, a relaxation from the stimulus spike to a depolarized stimulus plateau became apparent also in Na+-based solutions, but was less pronounced than in the presence of K+. While a 300-pA stimulus induced similar stimulus spike amplitudes (i.e., +135 mV and +150 mV in K+ and Na+ solution, respectively), the voltage subsequently decayed to a stimulus plateau amplitude of +21 mV in K+ and to +84 mV in Na+ (Supplementary Fig. 1g, h). Thus, the stimulus-induced rise in the membrane conductance was lower in the presence of Na+ than in K+. In other words, with Na+ the stimulus was not strong enough to maintain the vacuole membrane in a depolarized state after stimulus offset (Supplementary Fig. 1f). Even current injections of up to 1000 pA did not trigger a post-stimulus depolarization, a behavior which we also observed with the tpc1-2 mutant (Fig. 2a, d and Supplementary Fig. 1e, f). The absence of a pronounced post-stimulus depolarization phase in the presence of symmetrical Na+ or luminal Ca2+ suggests that the low number of TPC1/SV channels activated during stimulation were incapable of triggering a sustained post-stimulus depolarization.

After having studied the effect of shifting the voltage-dependent TPC1/SV channel activation towards more positive voltages, we addressed the question of how membrane excitability is affected when instead the TPC1 voltage dependence is shifted towards more hyperpolarized potentials. The fou2 point mutation, D454N in TPC1, impairs the luminal Ca2+ coordination site17,23,25. As a result, the TPC1/SV channel becomes not only insensitive towards inhibitory luminal Ca2+, but shows a fundamental change in its voltage-dependent gating features. This is reflected by the activity of fou2 TPC1 channels at less positive voltages, i.e. closer to the resting membrane voltage, than the wild type TPC1 in the absence of luminal Ca2+ (Supplementary Fig. 217,26). Using fou2 vacuoles under nominal Ca2+-free solutes at the luminal side and 1 mM activating Ca2+ at the cytosolic side of the vacuole membrane, we found a hyper-excitability of the fou2 vacuole membrane compared to wild type (Fig. 2c). When excited with only a 10-pA injection pulse, fou2 vacuoles already exhibited post-stimulus depolarization plateaus that did not repolarize to −60 mV and lasted for the entire post-stimulus recording time of 9.8 s (Fig. 2c). The findings concerning the excitability of wild type vacuoles in relation to fou2 on the one hand (Fig. 2a, c) and exposure to Na+ or high luminal Ca2+ on the other (Fig. 2b, e and Supplementary Fig. 1e, f), are in line with the electrical properties of the TPC1/SV channels17,23,24. They indicate that the voltage sensor of TPC1 controls the electrical excitability of the vacuole membrane via influencing channel activity11,12,21.

### TPK channels are required for TPC1-dependent excitability

In addition to the Ca2+- and voltage-dependent TPC1/SV channel, Arabidopsis thaliana mesophyll vacuoles also express the Ca2+-dependent TPK1 channel and the structurally related TPK3 isoform16,27. While TPC1 channels conduct K+, Na+ and even Cs+28,29,30, TPK1 is highly K+-selective and therefore not permeable for Na+ or Cs+15. To determine whether and how TPKs may support vacuole excitability, wild type plants and TPK1/TPK3 double-loss-of function mutants were compared side by side. Currents of increasing amplitude were injected and the electrical response monitored (Fig. 3). When wild-type vacuoles were excited by 70-pA injection, the post-stimulus depolarization phase was characterized by a lifetime (tplateau) of 0.36 s (Fig. 3). Following a 300-pA injection pulse with wild type vacuoles, the lifetime of the post-stimulus depolarization phase increased to 1.81 s (Fig. 3b). In contrast, the tpk1/tpk3 double mutant responded to each stimulus strength with a significantly much shorter post-stimulus depolarization lifetime (70 pA: tplateau = 0.09 s, 300 pA: tplateau = 0.28 s; Fig. 3). Thus, the vacuole membrane of the tpk1/tpk3 mutant was maintained depolarized for a period 4.0 and 6.5 times shorter after the 70 pA and the 300 pA pulse, respectively, than in the wild type background. At current stimulations higher than 300 pA, the difference in the post-stimulus depolarization time between the double mutant and wild type further reinforced. Voltage-clamp current measurements revealed that under K+-based media, voltage-dependent TPC1 channel gating was unaltered and TPC1 currents appeared to be only marginally reduced in the tpk1/tpk3 double mutant compared to wild type vacuoles (Supplementary Fig. 3a, b). These results indicate that background TPK-mediated K+ fluxes are a prerequisite for TPC1-dependent vacuole excitability. To support this hypothesis, TPKs in wild type vacuoles were challenged with the potassium channel blocker Cs+ (ref. 15). When K+ was replaced by Cs+ (Supplementary Fig. 3c, d), the post-stimulus depolarization plateau phase was strongly shortened, thus resembling the electrical phenotype of the tpk1/tpk3 double mutant (Fig. 3). In addition to this knock-out-mimicking effect, Cs+ appeared to have further impact. The lifetime of the post-stimulus depolarization plateau was slightly reduced in Cs+-treated wild type vacuoles compared to tpk1/tpk3 vacuoles (Fig. 3). This might indicate that besides TPK channels, Cs+ could have affected TPC1 channels as well. Indeed, voltage clamp experiments revealed that the TPC1 conductance was reduced compared to K+-based media (e.g., 3.4-fold at +100 mV), most likely due to the lower permeability of Cs+ over K+ rather than to a change in the voltage-dependent gating behavior (Supplementary Fig. 3a, b)28. To further dissect the role of the TPK1 and TPK3 channels in vacuole excitability, the electrical response of the single tpk1 and tpk3 mutants was next analyzed. With respect to the lifetime of the post-stimulus depolarization plateau, the tpk single mutants did not completely resemble either the wild type or the tpk1/tpk3 double mutant, but instead showed quite variable intermediate characteristics (Supplementary Fig. 4). This indicates that both channels together contribute to vacuolar excitability. Thus, taken together, our results strongly suggest that the fraction of the K+ ions that can freely move through open TPK channels affects the TPC1-based excitability.

### Modeling the TPC1/TPK-based membrane excitability

To gain further insight into the mechanism of vacuole excitability, we modeled vacuole excitability using the cable equation (Supplementary Note 1). In an initial computational cell biology experiment, we included a proton-pump and TPC1, but not TPK, in our model. This basic model allowed us to reproduce the initial two phases of the electrical signal triggered by current injection (Fig. 1a and Supplementary Fig. 5). After the onset of the stimulus, the membrane rapidly depolarized followed by a first partial repolarization. The first repolarization can be explained by the activation of TPC1 at very positive voltages. The outward currents through TPC1 are mainly carried by K+ ions and drive the membrane voltage closer to EK = 0 mV, which in turn results in a deactivation of TPC1. After the stimulus, the activity of residual TPC1, however, is not sufficient to maintain the membrane voltage close to EK. In this situation, the proton-pump-driven background conductance dominates and drives the membrane voltage back to the resting level. If the wild type TPC1 channel is replaced by its mutant TPC1-D454N (fou2), channel activity around EK is significantly higher than with the wild type. In the case of fou2, the background conductance is outcompeted by the hyperactive TPC1 mutant, clamping the membrane voltage close to EK. Although, the basic model could explain the onset of vacuolar excitation, it failed to reproduce the post-stimulus plateau (Supplementary Fig. 5e). To rectify this, we next included TPK in the model. When we simulated the stimulus-induced depolarization with basal, unregulated TPK activities, we observed that an increasing basal TPK activity reduced the excitability of the membrane but did not reproduce the experimental results (Supplementary Fig. 6a). TPK activity triggered by the external stimulus could not solve this issue either (Supplementary Fig. 6b). This result is in accordance with the experimental finding, that in the absence of TPC1 activity, the depolarizing stimulus did not directly activate the TPKs. Neither wild type vacuoles under TPC1-blocking conditions nor tpc1-2 vacuoles showed the characteristic TPK-dependent post-stimulus plateau (Fig. 2a, b). Thus, we had to assume a TPC1-dependent TPK-activation upon depolarization. Indeed, when assuming that the TPKs are activated proportionally to the current flowing through TPC1 channels, the experimental data could be reproduced by the model (Fig. 4). To reflect the low basal activity of TPK at resting voltages, we further had to assume that TPKs are inactivated in a voltage-dependent manner, with very low inactivation rates at positive voltages and increasing inactivation rates at more negative voltages. It should be emphasized that a simple dependency of the TPK activity on the voltage amplitude did not allow replication of experimental findings, in particular those obtained with the tpc1-2 loss-of-function mutant. It was necessary to couple TPK-activation with the activity of TPC1.

## Discussion

Here, we report that in the model plant Arabidopsis the voltage- and Ca2+-gated, non-inactivating cation channel TPC1/SV is essential for electrical excitation of the plant vacuole and acts in concert with TPK-type K+-selective channels. An elevated cytosolic Ca2+ level will not only open TPC1/SV channels but also TPK channels6,14 facilitating vacuole excitability. Thus, similar to the tonoplast action potential of excitable cells of charophyte algae31,32, vacuole excitability of A. thaliana mesophyll cells very likely depends on a rise in cytosolic Ca2+.

As AtTPC1 is a Ca2+-activated K+ channel, all experiments in this work were conducted under elevated 1 mM Ca2+ at the cytosolic side of the vacuole membrane. In vivo, however, at a resting Ca2+ level of ~0.1 µM, a prominent number of TPC1 channels will not open upon moderate voltage-stimulation33. Under this condition, even with a TPK background conductance, the vacuole membrane will rest in the H+ pump-dominated hyperpolarized state. However, a wave of elevated cytosolic Ca2+34 activates an increasing number of TPKs and a small fraction of TPC1 channels, which weakens but does not yet destabilize the hyperpolarized state. At a membrane resting voltage of around −30 mV18, the TPC1 channel remained deactivated even when cytoplasmic Ca2+ concentrations were elevated up to 1 mM33. To destabilize the resting state, both elevated cytosolic Ca2+ and a depolarizing electrical stimulus are needed. In our current clamp measurements, we mimicked the membrane depolarization of the vacuole membrane by current injections. The stronger the stimulus, or in other words, the more the vacuole was depolarized during the current injection period, the more TPC1 channels were activated. Interestingly, the voltage stimulus did not activate TPK channels. Owing to the large density of TPC1/SV channels in the vacuole membrane and the enormous single channel conductance of 80 pS26, the vacuole membrane will behave like a K+ electrode when reaching or exceeding a critical number of open TPC1/SV channels. The more TPC1/SV channels are open in the post-stimulus period, the more the membrane will be clamped at an EK of 0 mV. However, since there is a low probability that TPC1/SV channels will be open at a membrane voltage of 0 mV, TPC1 channels will deactivate over time, one after the other. If the number of open, depolarizing (EK stabilizing) TPC1/SV channels drops below a certain threshold, the hyperpolarizing injected currents, which in vivo are generated by the vacuolar proton pumps, can repolarize the membrane to the pre-stimulus level. Thus, stronger pump-driven repolarization will result in more TPC1/SV channels closing at a faster speed.

The experimentally observed features of the vacuolar electrical excitability could be reproduced in computational cell biological simulations using a model with a hyperpolarizing background conductance, a current stimulus and the two channel types TPC1 and TPK. We had to assume, however, that TPK channels are only transiently active at positive voltages. If we considered a static TPK activity, we just reduced membrane excitability (Supplementary Fig. 6a). In this case, TPKs serve as an additional voltage-stabilizing background conductance. This also holds true if the TPK activity is triggered by the depolarization stimulus and is then maintained active (Supplementary Fig. 6b). Thus, we had to postulate that (i) at resting voltages TPK channels are not active or only marginally active and (ii) the assumed largely voltage-independent TPK channels are regulated by an as yet unknown factor. This factor appears to depend on the activity of TPC1, because in the tpc1-2 knockout plants we did not observe the stimulus-induced TPK activation. We could reproduce the triggered electrical excitability well if the unknown factor activated TPK proportionally to the stimulus-induced TPC1 activity and if the TPK activity decayed in a voltage-dependent manner with increasing inactivation rate at more negative voltages (Supplementary Note 1). Thus, TPK channels have to be considered as a security valve, which is transiently active at very positive voltages, only. Until recently, it was unimaginable to assign a dynamic component to TPK channels. However, the group of Frans Maathuis has nicely demonstrated that a receptor-like protein kinase activates TPK1 by phosphorylation35. Furthermore, salt stress was reported to result in phosphorylation of TPK1 via a Ca2+-dependent protein kinase36. Thus, one may speculate that in our system the TPK1-regulating protein kinase is modulated in a TPC1-dependent manner.

The voltage responses of the tpk1/tpk3 double mutant clearly points to a role of TPK-type channels in vacuole excitability. Interestingly, the tpk1 and tpk3 single mutants showed highly variable voltage responses, which were not always intermediate between those of the wild type and the double mutant (Supplementary Fig. 4). The stimulus spike amplitude of the tpk1 mutant, for instance, was significantly smaller than those of wild type, tpk3 single, and tpk1/tpk3 double mutant (Supplementary Fig. 4b). These results indicate that the effects of the double mutant cannot be explained simply by a sum of the effects caused by the missing TPK channel function. Thus, TPK1 and TPK3 are not likely to be two independent channels in the vacuole membrane but seem to affect each other. In the plant, these two different TPK subunits may form heteromeric TPK channels, as shown for voltage-gated plant K+ channels37.

Human TPC1 channels operate as voltage-dependent Na+ channels, and confer excitability to mouse endolysosomes only in Na+-based media38. In contrast, Arabidopsis mesophyll vacuoles expressing TPC1 can be excited in the presence of K+ only. When the luminal side of the AtTPC1 channel protein faced elevated Na+ levels, TPC1/SV channel activity and, in turn, vacuole excitability, were suppressed. Furthermore, here we could demonstrate that even at stimulatory high cytosolic Ca2+ conditions (1 mM), a luminal Ca2+ concentration of as low as 1 mM completely silenced the TPC1/SV wild-type channel on a scale that was sufficient to effectively suppress vacuole excitability. This indicates that the Ca2+ level in the vacuole lumen is important. According to measurements with vacuoles of Eremosphaera viridis, Riccia fluitans, Zea mays roots and Beta vulgaris taproots, the physiological luminal free Ca2+ concentration ranges from 0.2 to 2.3 mM33,39,40. Therefore, to prevent luminal Ca2+ from reaching critical levels for TPC1-dependent excitation, tight control of Ca2+ loading by CAX-type transporters has to be postulated. In summary, changes in cytosolic and luminal Ca2+ concentration, together with the H+ pump-dependent membrane potential, tune TPC1- and TPK-dependent vacuole excitability.

An interesting finding is the striking correlation between input strength and TPC1/TPK-dependent vacuole excitation (Fig. 1c). This relationship might suggest a physiological implication of the vacuole membrane excitability. The response of the vacuole is to a large extent proportional to the incoming stimulus, which is an essential condition for amplifying signals without changing their information content. Different parts of a plant communicate with each other via electrical signals propagating at the plasma membrane that are accompanied by calcium- (cytosol), ROS (extracellular) and potentially also potassium (extracellular) waves1,34,41,42,43. Considering the cable effects and diffusion resistance within the plant body, electrical and chemical signals without amplification on the run would not reach far but would instead fade quickly1. A vacuolar mechanism that reacts proportional to a signal input would thus perfectly suit the needs for reamplification.

We still do not know how the propagating electrochemical signals are coupled to the tonoplast. A direct electrical coupling of both membranes via physical contact is rather unlikely, because the plasma membrane is electrically isolated from the vacuole membrane18. However, the plasma membrane together with the tonoplast form a sandwich of two membranes with the cytosol in between. Systems of such membrane aggregates are known for surprising dynamic coupling features44,45,46,47. Electrical changes at one membrane provoke transmembrane ion transport and thus concentration changes in the intermembrane space, which then can induce electrical changes at the other membrane. The molecular understanding of the mechanistic interplay between chemical and electrical signals for plasma membrane-vacuole communication48 represents a major future challenge.

## Methods

### Plant material

Arabidopsis thaliana ecotype Columbia (Col0) and channel-loss-of-function mutants thereof (tpc1-2, tpk1/tpk3 double mutant, tpk1-1, and tpk3-2 single mutants) were cultivated for 4 to 5 weeks in a growth chamber under controlled conditions before mesophyll protoplasts were enzymatically isolated. For this, fully developed rosette leaves with detached lower epidermis were incubated for 45–60 min at room temperature in an enzyme solution consisting of 0.5% (w/v) cellulase Onozuka R-10 (Serva, Heidelberg, Germany), 0.05% (w/v) pectolyase (Seishin Corp., Tokyo, Japan), 0.5% (w/v) macerozyme R10 (Serva, Heidelberg, Germany), 1% (w/v) bovine serum albumin (Sigma-Aldrich), 1 mM CaCl2, 10 mM Hepes/Tris (pH 7.4) and adjusted to an osmolality of 400 mosmol kg−1 with sorbitol. The suspension was filtered through a 50-µm nylon mesh and washed with 400 mM sorbitol and 1 mM CaCl2. After centrifugation at 4 °C and 60 × g for 7 min, the precipitated protoplasts were stored on ice until vacuoles were released under hypo-osmotic solute conditions (10 mM EGTA, 10 mM Hepes/Tris pH 7.4, 200 mosmol kg−1 with sorbitol) and used for patch clamp measurements.

The tpk1/tpk3 double mutant was generated by crossing the corresponding T-DNA insertion lines tpk1-1 (SALK_146903)15 and tpk3-2 (SALKseq_61131). The genotypes of single and double tpk mutants were characterized by PCR with the following primers: TPK1-fwd (5′-AAA TGT CGA GTG ATG CAG CTC-3′), TPK1-rev (5′-TCA AGT TGC TCG AAC TCA TCC-3′), TPK3-fwd (5′-ACG TTT CAC GTT CCT CCT CT-3′), TPK3-rev (5′-GTT TTG GAT CGG TGA AGA GC-3′), LBb1.3-rev (5′-ATT TTG CCG ATT TCGGAAC-3′).

### Patch clamp experiments

All patch clamp experiments were carried out in the whole-vacuole configuration17,26. Using an EPC-800 and EPC-10 amplifier (HEKA, Lambrecht, Germany), voltage clamp and current clamp measurements were performed according to the convention for electrical measurements on endomembranes51. Therefore, tonoplast membrane voltages referred to the electrical potential at the cytosolic side of the membrane with the luminal potential set to zero. The patch clamp technique was applied to vacuoles of similar size, which was estimated by the compensated membrane capacitance (Cm) in the voltage clamp mode being in the range of 8 pF to 35 pF. In the voltage clamp mode, macroscopic currents were recorded by instantaneously applying voltage pulses of 1-s duration, in the range of −80 to +110 mV in 10-mV steps. The holding voltage was −60 mV. Current-density/voltage curves (Iss/Cm(V)) were determined by dividing the steady-state current Iss measured at the end of the voltage pulse through the compensated membrane capacitance17. Conductance/voltage curves (G/Gmax(V)) were derived from tail current amplitudes and fitted with a Boltzmann Equation (1) representing the gating-scheme described in the Supplementary Note 1 with fixed apparent gating charges (z1 = 1.26; z2 = 1.00).

$$G(V) = \left( {\frac{1}{{1 + e^{ - z_1 \cdot \frac{F}{{{\mathrm{RT}}}} \cdot (V - V_1)}}}} \right)^2 \cdot \left( {\frac{1}{{1 + e^{ - z_2 \cdot \frac{F}{{{\mathrm{RT}}}} \cdot (V - V_2)}}}} \right)^2$$
(1)

In current clamp experiments the vacuole membrane was first set to −60 mV by clamping the current to an appropriate level. In the following, instantaneous current injection pulses ranging from 10 up to 1000 pA were applied for 200 ms before returning to the initial current clamp state. In the voltage and current clamp mode data points were acquired with a sampling rate of 10–200 µs at a low-pass filter frequency of 2.9 or 3 kHz. Data acquisition and off-line analysis were performed with the software programs Pulse, Patchmaster (HEKA Electronik, Lambrecht, Germany), IgorPro (Wave Metrics Inc., Lake Oswego, OR, USA) and Origin2018 (OriginLab Corp., Northampton, MA, USA). The stimulus-spike and the stimulus-plateau voltage amplitude was determined at the beginning and end of the voltage response to the current injection pulse, respectively. The lifetime of the post-stimulus depolarization phase (tplateau) indicates the time at which 50% of the initial depolarized voltage level repolarized to the holding voltage (Fig. 1a). The patch clamp data were statistically analyzed with one-way ANOVA followed by Bonferroni’s post-hoc comparison test (Supplementary Data 1 and 2). Compared datasets with p-values < 0.05 were considered to be significantly different.

If not otherwise stated, the standard bath solution (cytosol) was composed of 150 mM KCl, 2 mM MgCl2, 10 mM Hepes (pH 7.5/Tris) and adjusted to 400 mosmol kg−1 with d-sorbitol. The standard pipette solution (vacuolar lumen) was the same with the addition of 0.1 mM EGTA. To specifically examine the role of the TPC1 and TPK channels in vacuole excitability, the Ca2+-induced suppression of the fast vacuolar K+-permeable channels (FV14) and the Ca2+-dependent activation of the TPC1 and TPK channels was ensured by adding 1 mM CaCl2 to the standard bath medium. For some experiments (i) KCl in standard bath and pipette solutions was replaced by equal amounts of either CsCl or NaCl, or (ii) the bath medium contained 1 mM CaCl2 instead of 0.1 mM EGTA.

### Reporting summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

The datasets generated during the current study are available from the corresponding authors on reasonable request (electrophysiological data: Rainer Hedrich; computational simulation data: Ingo Dreyer). The source data underlying Figs. 14 and Supplementary Figs. 17 are provided as a Source Data file. A reporting summary is available as a Supplementary Information file.

## Code availability

The mathematical algorithms used for computational simulations are described in detail in the Supplementary Note 1.

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## Acknowledgements

The work was supported by a grant from the European Research Council under the European Union’s Seventh Framework Program to R.H. (EU250194), a grant from the German Research Foundation (DFG) within the research group FOR1061 to R.H., a grant from the Chilean Fondo Nacional de Desarrollo Científico y Tecnológico (http://www.conicyt.cl/fondecyt) to I.D. (No. 1150054) and a doctoral fellowship from the China Scholarship Council to J.L. This publication was also funded by the DFG and the University of Würzburg in the funding programme Open Access Publishing.

## Author information

Authors

### Contributions

R.H. and I.M. designed research. D.J., J.L. performed the electrophysiological experiments, and D.J. analyzed data. I.D. conducted the in silico experiments. R.O. and J.D. generated the tpk3 and tpk1/tpk3 loss-of-function mutants, respectively. R.H., I.M., and I.D. wrote the manuscript.

### Corresponding authors

Correspondence to Ingo Dreyer or Rainer Hedrich.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Peer review information: Nature Communications thanks Frans Maathuis and other anonymous reviewer(s) for their contribution to the peer review of this work. Peer reviewer reports are available.

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Jaślan, D., Dreyer, I., Lu, J. et al. Voltage-dependent gating of SV channel TPC1 confers vacuole excitability. Nat Commun 10, 2659 (2019). https://doi.org/10.1038/s41467-019-10599-x

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