Parallel auxin transport via PINs and plasmodesmata during the Arabidopsis leaf hyponasty response

Key message The leaf hyponasty response depends on tip-to-petiole auxin transport. This transport can happen through two parallel pathways: active trans-membrane transport mediated by PIN proteins and passive diffusion through plasmodesmata. Abstract A plant’s ability to counteract potential shading by neighboring plants depends on transport of the hormone auxin. Neighbor sensing at the leaf tip triggers auxin production. Once this auxin reaches the abaxial petiole epidermis, it causes cell elongation, which leads to leaf hyponasty. Two pathways are known to contribute to this intercellular tip-to-petiole auxin movement: (i) transport facilitated by plasma membrane-localized PIN auxin transporters and (ii) diffusion enabled by plasmodesmata. We tested if these two modes of transport are arranged sequentially or in parallel. Moreover, we investigated if they are functionally linked. Mutants in which one of the two pathways is disrupted indicated that both pathways are necessary for a full hyponasty response. Visualization of PIN3-GFP and PIN7-GFP localization indicated PIN-mediated transport in parallel to plasmodesmata-mediated transport along abaxial midrib epidermis cells. We found plasmodesmata-mediated cell coupling in the pin3pin4pin7 mutant to match wild-type levels, indicating no redundancy between pathways. Similarly, PIN3, PIN4 and PIN7 mRNA levels were unaffected in a mutant with disrupted plasmodesmata pathway. Our results provide mechanistic insight on leaf hyponasty, which might facilitate the manipulation of the shade avoidance response in crops. Supplementary Information The online version contains supplementary material available at 10.1007/s00299-023-03119-1.


Introduction
Access to light is one of the essential preconditions for plant growth and a key determinant of their productivity.Accordingly, plants have evolved various mechanisms to prevent shading by neighboring plants.One such mechanism is leaf hyponasty, i.e., the upward bending of the leaf (Franklin 2008).The primary signal for eliciting leaf hyponasty is a reduction in the red (R) to far-red (FR) light ratio resulting from selective R-light absorbance of the leaves of neighboring plants (Casal 2013).The low R:FR light condition is sensed by phytochromes in the cells of the leaf tip and triggers auxin synthesis (Küpers et al. 2020).Auxin moves from the leaf tip towards the petiole, where it triggers the expansion of cells on the basipetal side, thereby bending the leaf upwards (Ma and Li 2019).
Intercellular auxin transport can be facilitated by plasma membrane-localized transport proteins (Adamowski and Friml 2015).Auxin transporters of the PIN-FORMED family (PINs) have been implicated in the tip-to-petiole transport 4 Page 2 of 11 that triggers leaf hyponasty.There are several examples where polarized distribution of PIN proteins induces directional auxin transport in plant tissues (Ding et al. 2011;Zhang et al. 2013Zhang et al. , 2017)).In Arabidopsis thaliana, PIN3 transcript abundance was induced by the low R:FR light condition (Pantazopoulou et al. 2017).Moreover, Arabidopsis mutant plants lacking PIN3, PIN4 and PIN7 showed a strongly reduced leaf hyponasty response to low R:FR conditions (Michaud et al. 2017;Pantazopoulou et al. 2017).
In addition to facilitation by membrane transporters, auxin can move intercellularly via plasmodesmata.These cell wall channels connect the cytosols of neighboring cells via a so-called cytoplasmic sleeve.With a width of about 3 nm, it enables concentration potential-driven diffusion of small molecules such as auxin (Rutschow et al. 2011;Liesche and Schulz 2013;Paterlini 2020;Band 2021).A high capacity for intercellular diffusion was found between endodermis cells, vascular parenchyma and especially the elongated cells of the leaf abaxial epidermis that run parallel to the mid-vein (Gao et al. 2020).Indeed, changes in the diffusion capacity of this pathway, as found in the Arabidopsis gsl8 mutant, which is deficient in GLUCAN SYNTHASE LIKE 8 (GSL8), reduced tip-to-petiole auxin transport and leaf hyponasty (Gao et al. 2020).GSL8 activity leads to higher callose levels in the cell wall around plasmodesmata, which decreases the diameter of the cytosolic sleeve and, thereby, permeability.Accordingly, the gsl8 mutant displays lower callose levels and higher plasmodesmata permeabilities.Despite this, the mutant's tip-to-petiole auxin transport is reduced, because the high lateral diffusion capacity impairs the channeling effect that facilitates auxin diffusion along midrib epidermis cells in wild-type plants (Gao et al. 2020).
As described above, current data indicates that both, PINand plasmodesmata-mediated auxin transport, are required for a full shading-response, but how the two transport pathways are related is not known.Gao et al. calculated the auxin diffusion potential along epidermis cells above the midrib to be higher than what would be expected from PIN-mediated transport along epidermis or endodermis cells (Gao et al. 2020).At the same time, a major role for the PINs is suggested by the very strong reduction of hyponasty in the pin3pin4pin7 mutant (Michaud et al. 2017;Pantazopoulou et al. 2017).One explanation could be that PINs are only involved in the transport towards the elongated cells, from where auxin moves through plasmodesmata.However, at least PIN3 has been located in the endodermis and the elongated cells of the adaxial epidermis (Park et al. 2019).Alternatively, PINs could be responsible for the lateral import of auxin into the elongated cells instead of facilitating basipetal transport.Previously, PIN3 in endodermal cells has been observed to relocate from the apical/basal plasma membrane to the lateral plasma membrane in Arabidopsis hypocotyls upon shading or auxin application (Keuskamp et al. 2010;Ding et al. 2011;Zhang et al. 2017).
Besides the question if PIN-and plasmodesmata-pathways are arranged sequentially or in parallel, another question is the interaction between the two pathways.Auxin has been shown to influence plasmodesmata permeability in Arabidopsis hypocotyls (Han et al. 2014).Moreover, PIN1 and PIN7 were part of an Arabidopsis plasmodesmata proteome (Fernandez-Calvino et al. 2011), indicating a potential link between PIN-mediated auxin transport and plasmodesmata function.
As described in the following, we investigated the relationship of PIN-and plasmodesmata-mediated auxin transport of the leaf hyponasty response, focusing on the abaxial epidermis cells that feature the higher cell coupling and better accessibility compared to endodermis cells.Clarifying the mechanism of neighbor-induced leaf hyponasty might be relevant for efforts to increase crop yield, as the response occurs in most crop species (Pantazopoulou et al. 2021).Indeed, the targeted suppression of shade avoidance responses has been identified as a promising strategy to increase planting densities without vegetative growth stimulation and, thereby, the improvement of yield per area (Carriedo et al. 2016).

Reduced hyponasty responses in plasmodesmataand PIN-mutants
We triggered leaf hyponasty by application of the auxin indole acetic acid (IAA) to the leaf tip, a simple system that has been used in previous studies of the relevant transport and signaling pathways (Michaud et al. 2017;Pantazopoulou et al. 2017;Küpers et al. 2020).In addition, we conducted experiments in which the leaf tip is exposed to low R:FR light conditions to validate the results (Fig. S1).We measured leaf angle changes over time to compare the effects of pathway disruptions in the gsl8 and pin3pin4pin7 mutants.The effect was stronger in the pin3pin4pin7 mutant, which displayed a maximum leaf angle change of about 25% of the wild-type level (Fig. 1A-D).The gsl8 mutant leaves reached about 42% of the wild-type leaf angle (Fig. 1D).The results were not IAA-specific.Application of the auxin 1-naphthaleneacetic acid (NAA) instead of IAA caused similar reductions in leaf hyponasty in the gsl8 and pin3pin4pin7 mutants (Fig. S2).In control experiments, the application of water to wild-type plants (mock-treatment) indicated the diurnal and developmental effects on leaf angle to be in a limited range of below 5° within 24 h (Fig. 1D).
We probed the influence of PIN activity further by application of naphthylphthalamic acid (NPA), a competitive Page 3 of 11 4 inhibitor of PIN-mediated auxin transport (Ung et al. 2022).Wild-type plants treated with NPA showed reduced leaf angle responses (Fig. 2A), with some similarity to the pin-3pin4pin7 mutants (Fig. 1D).The auxin-induced leaf angle increase of gsl8 mutant plants treated with NPA was significantly lower than for wild-type plants, showing a maximum increase of only about 3 degree (Fig. 2B,D).Leaf angles of both types of plants treated with IAA and NPA were higher than in plants treated with neither IAA nor NPA ("Wildtype (mock)" in Fig. 2D).Treating the pin3pin4pin7 mutant with NPA had no additional effect on the leaf angle response (Fig. 2C, D).
The experiments show that the combined disruption of PIN-mediated auxin transport and plasmodesmata-mediated auxin transport, as present in NPA-treated gsl8 plants, leads to even stronger reduction of the hyponasty response than in plants where only one of the pathways is disrupted.

PIN3 and PIN7 relocate to longitudinal interfaces of midrib epidermis cells
The results above led us to hypothesize a parallel arrangement of PIN-and plasmodesmata-pathways.To identify the positions of PIN transporters along the epidermal auxin transport pathway, we used plant lines expressing PIN-GFPfusion proteins under their native promoters.Moreover, this allowed us to monitor redistribution of PINs during the hyponasty response.The transformed plants showed leaf hyponasty responses like wild-type plants, indicating that the GFP fusion does not influence PIN function (Fig. S3).
Only images of PIN3-GFP and PIN7-GFP are shown.In plants transformed with PIN4-GFP we detected no specific fluorescence on our microscope system, presumably due to the generally low expression level of PIN4 as analyzed below.
PIN3-GFP and PIN7-GFP were both expressed in pavement and midrib cells of the leaf epidermis, as well as petiole epidermis cells (Fig. 3A-C, E-G).Auxin application influenced the intracellular distribution of PIN3-GFP and PIN7-GFP in the midrib and petiole epidermis cells (Fig. 3D, H).Two hours after auxin application to the leaf tip, the ratio of PIN3-GFP fluorescence at the longitudinal and transverse walls change from around 1 to around 2 (Fig. 3D), indicating that the concentration of PIN3-GFP at the longitudinal wall is twice as high as at the transverse wall.PIN3-GFP at the petiole epidermis showed a similar increase in intensity ratio from about 1 under control conditions to about 1.75 after auxin application (Fig. 3D).The results for PIN7-GFP resemble those of PIN3-GFP with strongly increased PIN7-GFP concentration at the longitudinal walls of midrib and petiole epidermis cells after auxin application (Fig. 3H).Similar relocation of PIN3-GFP and PIN7-GFP were observed after inducing the hyponasty response by lowering the R:FR light ratio at the leaf tip (Fig. S4).
Strong PIN3-GFP and PIN7-GFP expression in the leaf epidermis indicates the potential for auxin transport along this pathway.The presence of auxin in the midrib epidermis during the hyponasty response was investigated with the help of plants expressing the auxin-inducible promoter DR5 coupled to a fluorescent reporter.Lowering the R:FR light ratio at the leaf tip led to increased DR5-driven reporter fluorescence in the midrib epidermis cells after 6 and 12 h (Fig. 4A-D).After 6 h, a strong increase in the leaf center was observed, while epidermis cells closer to the petiole and at the petiole showed minor increases (Fig. 4B,D).After 12 h, the epidermis at the lower leaf and at the petiole reached similarly high levels to the leaf center (Fig. 4C, D).
These results validate the hypothesis that PIN-mediated and plasmodesmata-mediated transport pathways are arranged in parallel along the midrib epidermis cells.

Plasmodesmata structure is unchanged in pin3pin4pin7 mutant
The parallel arrangement of transport pathways could enable functional redundancy.To investigate if the lack of PIN proteins in the pin3pin4pin7 mutant influenced the plasmodesmata-mediated transport pathway, we analyzed plasmodesmata structure and function.Transmission electron microscopy of plasmodesmata in the longitudinal and transverse walls of midrib epidermis cell revealed no major differences in plasmodesmata structure, for example with regard to branching, between wild-type, gsl8 and pin3pin4pin7 mutant plants (Fig. 5A-C).As expected, neck diameters of plasmodesmata in the longitudinal and transverse walls of gsl8 mutants were increased (Fig. 5D,  F). pin3pin4pin7 mutants showed no significant changes in neck diameter or plasmodesmata density compared to wild-type plants at both sides of the cells (Fig. 5D-G).This result does not indicate pathway redundancy, since the compromised PIN-mediated auxin transport in the pin3pin4pin7 mutant did not lead to plasmodesmata that would enable increased auxin diffusion capacity.

Intercellular permeability in pin3pin4pin7 resembles wild-type
In addition to the structural analysis, we tested the function of plasmodesmata by fluorescence redistribution after photobleaching (FRAP) experiments on intact leaves of wild-type and pin3pin4pin7 plants.After bleaching a small fluorescent molecule in a few midrib-epidermis cells, we monitored recovery of fluorescence in these cells due to the redistribution from neighboring cells.A shorter half-life of this redistribution indicates faster intercellular movement and, thereby, a larger capacity for plasmodesmata-mediated transport.No significant differences between wild-type and pin3pin4pin7 were observed (Fig. 6A-C).The half-times of fluorescence recovery were 7.5 s (standard deviation 2.3 s) for wild-type and 8.4 s (standard deviation 2.6 s) for pin3pin4pin7.Previously, we found no influence of auxin application on midrib epidermis cell coupling in wild-type

PIN mRNA levels are not increased in gsl8 mutant
We further tested if PINs are upregulated in gsl8 mutant plants with their reduced tip-to-petiole auxin diffusion efficiency.Transcript abundance of PIN3, PIN4 and PIN7 was quantified in wild-type and gsl8 plants.Two hours after application of auxin to the leaf tip, PIN3 and PIN7 mRNA levels strongly increased in leaves of wildtype plants (Fig. 7A, C), mirroring results from our earlier measurements (Fig. S2F in Gao et al. 2020).PIN4 was expressed at a low level and showed no significant response to auxin application (Fig. 7B).PIN3, PIN4 and PIN7 mRNA levels in the gsl8 mutant matched those in wild-type plants, including the auxin-dependent increase in PIN3 and PIN7 mRNA abundance (Fig. 7A-C).This result does not indicate a link between disruption of the auxin diffusion pathway and the transcriptional regulation of relevant PINs.

Discussion
PIN proteins have long been seen as the main facilitators of tip-to-petiole auxin transport during the leaf hyponasty response (Michaud et al. 2017;Pantazopoulou et al. 2017).Several of our experiments confirm their central role.As seen before, leaf hyponasty was strongly reduced in the pin3pin4pin7 triple mutant.Transcript levels of PIN3 and PIN7 strongly increased after triggering of the hyponasty response.Moreover, PIN3 and PIN7 were found to be present in midrib and petiole epidermis cells, in which their concentration at the longitudinal walls increased upon triggering of the hyponasty response.These results suggest that auxin transport is facilitated by PIN3 and PIN7 all the way from the leaf tip to the petiole.PIN-mediated and plasmodesmata-mediated transport pathways appear to be running in parallel in the midrib and petiole epidermis cells.
A similar arrangement could be expected for endodermis cells, where the situation with high longitudinal cell wall permeability (Gao et al. 2020) and strong PIN3 expression (Park et al. 2019), especially at longitudinal cell interfaces (Küpers et al. 2020), resembles that of the midrib epidermis.Does a parallel arrangement of PIN-and plasmodesmatamediated auxin pathways imply redundancy and interaction?Our data provides no evidence for this.Plasmodesmata function remained unchanged in the midrib and petiole epidermis cells of the pin3pin4pin7 mutant.Similarly, PIN transcript levels were not changed by the disruption of the plasmodesmata pathway in the gsl8 mutant.This lack of compensation suggests that there are mechanical issues that prevent the malfunction of one pathway to influence the capacity of the other pathway.For example, plasmodesmata structure and density might not be influenced because of their prescribed role during leaf development (Burch-Smith et al. 2011).Another possibility is a limitation of feedback signaling within the hyponasty response.Regulation of PINs by positive feedback loops has been described for the establishment of local auxin maxima in meristems (Wang and Jiao 2018).However, the long tip-to-petiole distance of at least several millimeters might hinder coordination (Renton et al. 2012).Moreover, the high overall plasmodesmata permeability of leaf cells in the gsl8 mutant (Gao et al. 2020) means that auxin is likely to disperse from the tip.This could prevent a buildup of auxin at the tip, which would be the most likely cue for the upregulation of auxin transport (Renton et al. 2012).Measurements of local auxin concentrations could be used to test this hypothesis.Auxin concentration should also be measured in the petiole of gsl8 mutant plants, as it cannot currently be excluded that it is affected by R:FRindependent processes.However, a major influence on the hyponasty response would be surprising as the timing of the gsl8 mutant's hyponasty response agreed with the results of tip-to-petiole auxin transport monitoring (Gao et al. 2020).
It should be noted that we did not test transport activity of PIN3 and PIN7 in the gsl8 mutant.Reduced callose synthesis could have induced PIN activity through post-transcriptional modifications, such as phosphorylation.Indeed, links between callose synthesis and salicylic acid production (Zhong et al. 2021) and between salicylic acid and PIN activity (Tan et al. 2020) have been recently established, although not regarding leaf hyponasty.Auxin transport assays might be adapted to test the influence of callose synthase on PIN3 and PIN7 activity (Barbosa et al. 2018).Another aspect that should be explored is the effect of reduced plasmodesmata permeability on PIN-mediated auxin transport.Plasmodesmata are not blocked in the gsl8 mutant, where tip-to-petiole auxin diffusion is compromised by the missing channeling effect of interface-specific plasmodesmata regulation (Gao et al. 2020).The effect of reduced plasmodesmatal diffusion capacity could be tested by expressing the icals3m-module in mesophyll epidermis and endodermis cells.This would enable the induction of callose synthesis, and thereby the reduction of plasmodesmata permeability, at the relevant interfaces (Liu et al. 2017;Li et al. 2022).
In conclusion, our work showed that active (PIN-mediated) and passive (plasmodesmata-mediated) auxin transport both contribute to the hyponasty response.Both transport systems work in parallel in channeling auxin along the midrib epidermis cells.Future measurements of transport rates for both pathways at high spatial and temporal resolution will further clarify the relative contributions of the two pathways.

Plant material and growth conditions
Arabidopsis plants were soil-grown in growth chambers under a 16-h light/8-h dark regime, with 90 μmol photon•m −2 •s −1 light intensity and 22 °C.We used the soil Nature's Gro (Miracle-Gro, OH, USA), which contained total nitrogen at 0.068%, available phosphate (P 2 O 5 ) at 0.027% and soluble potash (K 2 O) at 0.036%.The measured pH ranged between 5.5 and 6.5.Seeds were imbibed for 3 d in dark at 4 °C, then sterilized in 75% alcohol for 2 min and 10% (v/v) sodium hypochlorite for 10 min and washed 5 times with sterilized water.All Arabidopsis plants used in this study belong to the accession Col-0.Seeds of the gsl8 mutant were purchased from the Nottingham Arabidopsis Stock Center (stock number N665827).Seeds of pin3pin-4pin7 were obtained from the Friml lab (Blilou et al. 2005).Primers used for genotyping are listed in Table S1.

Evaluation of hyponasty response
The standard procedure for measuring the leaf angle change was to apply 1 µL of 100 µM IAA to the tip of the largest one or two leaves, similar to what has been described by Gao et al. (2020).Mock treatment was conducted with 1 µL of distilled water.An IAA stock solution was prepared by dissolving 35.04 mg of IAA powder in 2 mL ethanol.NAA was applied, like IAA, as a drop of 1 µL of 100 µM NAA.NAA stock solution was prepared by dissolving 37.24 mg of NAA powder in 2 mL ethanol.NPA was injected into the abaxial leaf epidermis using a 1 mL syringe without needle at a concentration of 50 µM.An NPA stock solution was produced by dissolving 5 mg NPA powder in 3.43 mL ethanol.Stock solutions were stored at -20 °C.Working solutions were freshly prepared for each set of experiments.The plants were at the rosette stage, 28 days old.Treatments were always performed at 11 AM and photographs taken after 6, 11, 12 and 24 h in a fixed setup.Leaf angles were calculated from photographs.The alternative procedure for eliciting hyponasty was to lower the R:FR light ratio at the leaf tip similar to the procedure described by Michaud et al. (2017).A LED 730 nm light source was adjusted with the help of aluminum foil to illuminate the leaf tip.Photographs were taken at the beginning of the experiment and after 24 h.

PIN-GFP localization
Plants stably expressing PIN3::PIN3-GFP (Zádníková et al. 2010), PIN4::PIN4-GFP (Vieten et al. 2005) and PIN7::PIN7-GFP (Blilou et al. 2005) constructs were grown for 3 weeks.GFP fluorescence was recorded using a confocal laser-scanning module (Thorlabs, Newton, NJ, USA) mounted on a Leica DMi8 microscope frame (Leica Microsystems, Wetzlar, Germany) with excitation at 488 nm and emission detection with a 494-524 nm band-pass filter.Leaves were cut off at the petiole with a razorblade two hours after auxin application to the leaf tip or exposure to low R:FR light conditions.Leaves were gently placed on a slide and analyzed immediately using a 20 × water-immersion objective.Z-scans were performed to capture many infocus cells in these thick uneven samples.ImageJ (Schindelin et al. 2012) was used to measure the mean fluorescence intensity value of single cells or single plasma membrane interfaces within cells.For that purpose, regions of interest were drawn around cells or around the specific interface.In case of plasma membrane interfaces the region of interest had a fixed width of 5 µm.

Visualization of DR5 activity
Plants stably expressing DR5:GFP (Ottenschläger et al. 2003) were grown for 3 weeks.GFP fluorescence was detected by confocal microscopy as described above.Leaves were cut off at the petiole with a razorblade either right before the light was modulated (control) or six or twelve hours after the start of low R:FR exposure.Leaves were gently placed on a slide and analyzed immediately using a 20 × water-immersion objective.Z-scans were performed to capture many in-focus cells at the abaxial midrib epidermis at three positions: in the center of the leaf, about 2/3rd from the leaf tip and at the petiole.The mean fluorescence intensity value of a 180 × 70 µm area, containing about ten cells, was determined and served as indicator of DR5activity.Intracellular background fluorescence was visible in some images.However, it did not affect measurements as it occurred to a similar degree across the images of each sample type.

Analysis of plasmodesmata structure and density
Plasmodesmata were analyzed on 3-week-old wild-type, gsl8 and pin3pin4pin7 plants.Leaves were cut into strips about 4-5 mm long and 2 mm wide, and an incision was made on one corner of the abaxial side to be able to distinguish adaxial and abaxial surfaces.The samples were immediately placed in a 4% glutaraldehyde solution under dark conditions for fixation.Then they were rinsed three times with phosphate-buffered saline (PBS, pH 7.2) for 15 min, fixed with osmic acid for 2-4 h, and rinsed three more times with PBS.Gradient dehydration was performed successively in different concentrations of ethanol (30%, 50%, 70%, 90%, 100%) twice for 10 min.Gradient osmosis was performed in alcohol: LR-White mixtures: 3:1 for 2 h, 1:1 for 8 h, 1:3 for 12 h, followed by incubation in LR-White twice for 24 h.After embedding in rubber molds, the polymerization was carried out at 55 °C for 48 h.The excess polymerized LR-White above the sample was trimmed off.Semi-thin Sects.(0.5 to 1 µm thickness) were cut using an ultramicrotome (UC7, Leica Microsystems) until the target position (abaxial epidermis) was reached.Here, samples were ultrathin sectioned (70 nm thickness) and sections transferred to copper meshes.Sections on the copper meshes were stained with 2% uranyl acetate for 20 min, and the surface dye residue was thoroughly rinsed with pure water.Then, sections were stained with lead citrate for 15 min, and the dye residue was rinsed.The stained samples were observed under a transmission electron microscope (TEC-NAI G2 SPIRIT BIO, FEI Hillsboro, OR, USA).Images were taken at a smaller magnification to facilitate the calculation of the plasmodesmata density, and at larger magnification to investigate plasmodesmata structure.ImageJ was used to measure plasmodesmata neck diameter and density following Liesche et al. (2019).

Analysis of cell coupling
Leaves of three-week-old wild-type and pin3pin4pin7 mutant plants were used for FRAP experiments.The cytosolic tracer carboxyfluorescein diacetate (cFDA, Ther-moFisher, Waltham MA, USA) was used at a concentration of 50 µM (diluted in PBS buffer, pH 7.2).Six hours after the application of auxin to the leaf tip, leaves were gently cut at the petiole and soaked in cFDA solution for 20 min.After washing with PBS, leaves were mounted on microscope slides and analyzed by confocal microscopy employing a 20 × water-immersion objective.cFDA fluorescence was excited at 488 nm and emission detected with a 494 to 524 nm band-pass filter.A location at the center of the abaxial midrib epidermis covering about 25% of image area was selected for bleaching.Fluorescence in this area was bleached by high laser light intensity and zoom-in for 10-20 s.Fluorescence recovery was monitored for about 1 min.ImageJ was used to quantify the fluorescence intensity in the target region before and after bleaching.Nonlinear regression curve fitting on the post-bleaching data and determination of half-times was performed with GraphPad Prism 8 (GraphPad Software, San Diego, CA, USA).

Quantification of PIN mRNA levels
PIN mRNA levels were measured on leaves of 3-week-old wild-type and gsl8 mutant plants.Leaf samples were taken 2 h after application of IAA to the leaf tip as described above.Total RNA from the leaf samples was extracted using Trizol (Invitrogen, Carlsbad, CA, USA) according to the manufacturer's instructions.The quantity and quality of RNA were assessed spectroscopically (Nanodrop ND-2000, Thermo Scientific, MA, USA).The first-strand cDNA was synthesized with the EasyScript One-Step gDNA Removal and cDNA Synthesis SuperMix (Transgen, Beijing, China).mRNA levels of PIN3 (AT1G70940), PIN4 (AT2G01420) and PIN7 (AT1G23080) were quantified by qPCR using the CFX Connect Real Time System (Bio-Rad, Feldkirchen, Germany) with TransStart Tip Green qPCR SuperMix (Transgen) according to the manufacturer's instructions.mRNA levels were normalized to reference gene UBQ10 (AT4G05320).mRNA levels were calculated using the 2 −ΔCt method.Primer sequences are listed in Table S2.

Statistical methods
To evaluate the significance of pairwise differences between samples, P values were calculated using Student's t-test with significance indicated by P < 0.05.Sample numbers are provided in the figure legends.

Fig. 1 Fig. 2 4
Fig. 1 Hyponasty response in wild-type, gsl8 and pin3pin4pin7 plants.The auxin indole acetic acid (IAA) was applied to the tips of two leaves (arrows) of 21-day-old plants.A-C Images showing plants at the start of the experiment (0 h) and after 12 and 24 h.D Leaf

Fig. 3
Fig. 3 Localization of PIN-GFP fusion proteins two hours after application of water (mock) or IAA to the leaf tip.PIN-GFP constructs were expressed under native promoters.A-C Confocal microscopy images showing PIN3-GFP fluorescence in abaxial pavement epidermis cells (A), abaxial midrib epidermis cells (B) and abaxial petiole epidermis cells (C).D PIN3-GFP fluorescence intensity at the plasma membranes in line with the leaf axis divided by the intensity at the plasma membranes transverse to the leaf axis.E-G Confocal microscopy images showing PIN7-GFP fluorescence in abaxial pavement

Fig. 4 4
Fig. 4 Auxin abundance in abaxial midrib epidermis cells visualized by the auxin-induced DR5:GFP reporter system.Leaf tips were exposed to low R:FR light conditions and GFP fluorescence detected at three positions: the center of the leaf (Center), about 2/3rd towards the leaf base (2/3rd) and petiole (Petiole).The mean fluorescence intensity of the epidermis cells in the field of view was measured.A-C Maximum projections of DR5:GFP fluorescence right before the low R:FR exposure (A), after 6 h (B) and after 12 h (C).Scale bars 50 µm.D Quantification of GFP fluorescence.Similar letters on box plots indicate no significant difference (P > 0.05) according to Student's t-test (N = 6).Boxes represent quartiles, × represents mean, and bars indicate 95% confidence intervals

Fig. 5 Fig. 6
Fig. 5 Plasmodesmata in adaxial midrib epidermis cells in wild-type plants and gsl8 and pin3pin4pin7 mutants.A-C Transmission electron micrographs showing the structure of plasmodesmata at the longitudinal and transverse walls relative to the leaf axis in wildtype (A), gsl8 mutant (B) and pin3pin4pin7 mutant (C).Scale bars 500 nm.D, E Neck diameter (D) and density (E) of plasmodesmata

Fig. 7 4
Fig. 7 mRNA levels of PIN transporters in leaves of wild-type and gsl8 mutant plants.mRNA levels were measured by qPCR in untreated plants (control) or plants on which the auxin IAA was applied to the leaf tip (IAA).A PIN3 mRNA level.B PIN4 mRNA