The dose-response curve of the gravitropic reaction: a re-analysis

The dose-response curve of the gravitropic reaction is often used to evaluate the gravisensing of plant organs. It has been proposed (Larsen 1957) that the response (curvature) varies linearly as a function of the logarithm of the dose of gravistimulus. As this model fitted correctly most of the data obtained in the literature, the presentation time (tp, minimal duration of stimulation in the gravitational field to induce a response) or the presentation dose (dp, minimal quantity in g.s of stimulation to induce a response) were estimated by extrapolating down to zero curvature the straight line representing the response as a function of the logarithm of the stimulus. This method was preferred to a direct measurement of dp or tp with minute stimulations, since very slight gravitropic response cannot be distinguished from the background oscillations of the extremity of the organs. In the present review, it is shown that generally the logarithmic model (L) does not fit the experimental data published in the literature as well as the hyperbolic model (H). The H model in its simplest form is related to a response in which a ligand-receptor system is the limiting phase in the cascade of events leading to the response (Weyers et al. 1987). However, it is demonstrated that the differential growth, responsible for the curvature (and the angle of curvature), would vary as a hyperbolic function of the dose of stimulation, even if several steps involving ligand-receptor systems are responsible for the gravitropic curvature. In the H model, there is theoretically no presentation time (or presentation dose) since the curve passes through the origin. The value of the derivative of the H function equals a/b and represents the slope of the cune at the origin. It could be therefore used to estimate gravisensitivity. This provides a measurement of graviresponsiveness for threshold doses of stimulation. These results imply that the presentation time (or presentation dose) derived from the L model cannot be used anymore as an estimate of gravisensitivity. On the contrary, the perception time (minimal duration of a repeated stimulation which induces a response), which is less than 1 s, should be related to the perception of gravity. The consequences of these results on the mode of action and the nature of graviperception are discussed.     

Gravitropic response of inflorescence stems in Arabidopsis thaliana.

We have characterized the gravitropic response of inflorescence stems in Arabidopsis thaliana. When the inflorescence stems were placed horizontally, they curved upward about 90 degrees within 90 min in darkness at 23 degrees C, exhibiting strong negative gravitropism. Decapitated stem segments (without all flowers, flower buds, and apical apices) also showed gravitropic responses when they included the elongation zone. This result indicates that the minimum elements needed for the gravitropic response exist in the decapitated inflorescence stem segments. At least the 3-min gravistimulation time was sufficient to induce the initial curvature at 23 degrees C after a lag time of about 30 min. In the gravitropic response of inflorescence stems, (a) the gravity perception site exists through the elongating zone, (b) auxin is involved in this response, (c) the gravitropic curvature was inhibited at 4 degrees C but at least the gravity perception step could occur, and (d) two curvatures could be induced in sequence at 23 degrees C by two opposite directional horizontal gravistimulations at 4 degrees C.     

Autonomic Straightening after Gravitropic Curvature of Cress Roots

Few studies have documented the response of gravitropically curved organs to a withdrawal of a constant gravitational stimulus. The effects of stimulus withdrawal on gravitropic curvature were studied by following individual roots of cress (Lepidium sativum L.) through reorientation and clinostat rotation. Roots turned to the horizontal curved down 62° and 88° after 1 and 5 h, respectively. Subsequent rotation on a clinostat for 6 h resulted in root straightening through a loss of gravitropic curvature in older regions and through new growth becoming aligned closer to the prestimulus vertical. However, these roots did not return completely to the prestimulus vertical, indicating the retention of some gravitropic response. Clinostat rotation shifted the mean root angle −36° closer to the prestimulus vertical, regardless of the duration of prior horizontal stimulation. Control roots (no horizontal stimulation) were slanted at various angles after clinostat rotation. These findings indicate that gravitropic curvature is not necessarily permanent, and that the root retains some commitment to its equilibrium orientation prior to gravitropic stimulation.     

Spatial organization of the gravitropic response in plants: applicability of the revised local curvature distribution model to Triticum aestivum coleoptiles

The revised local curvature distribution model, which provides accurate computer simulations of the gravitropic response of mushroom stems, was found to produce accurate simulations of the gravitropic reaction of wheat ( Triticum aestivum ) coleoptiles. The key feature of the mathematical model that enables it to approach universality of application is the assumption that the stem has an autonomic straightening reaction (curvature compensation or 'autotropism'). In the model, the local bending rate for any segment of the organ is determined by the difference between the 'bending signal' (generated by the gravitropic signal perception system) and a 'straightening signal' (which is proportional to the local curvature of the segment). The model reveals three major differences between the gravitropic reactions of wheat coleoptiles and Coprinus mushroom stems. First, in Coprinus , the capacity for autonomic straightening is much more concentrated in the apical region of the stem. Second, local perception of the gravitropic signal, which is necessary for exact simulation in Coprinus , is not needed in wheat coleoptiles (the corresponding constant in the model can be set to zero). Third, the transmission rate of the gravitropic signal is about seven times faster in wheat coleoptiles than in the mushroom stem. Thus, we demonstrate that a single model, depending on the values given to its parameters, is able to simulate the spatial organization of the gravitropic reaction of wheat coleoptiles and Coprinus mushroom stems. The model promises to be a valuable predictive tool in guiding future research into the gravitropic reaction of axial organs of all types.     

Modification of the gravitropic response of seedling roots of raneseed (Brassica napus) transformed by Agrobacterium rhizogenes A4

We have examined the growth and gravitropic response of seedling roots of rapeseed ( Brassica napus . CrGC5–1) transformed by Agrobacterium rhizogenes A4, in order to evaluate if this could constitute a new model system for the study of gravitropism. The transformed clone chosen for study had integrated full-length TL- and TR-DNA from pRi (the root inducing plasmid), and thus included all of the agrobacterial genes potentially involved in the modified phenotype of transformed plants. In the vertical position, the growth rate of transformed roots was higher than controls. During 24 h of continuous stimulation, the optimal angle for gravitropic bending in normal roots was 135° (with respect to the gravity axis), with decreasing response at 90° and 45°. For transformed roots, slight curvature developed at 45° and at 90°, and stronger curvature was observed at 135°, though transformed roots tips never reached the vertical position. The minimum stimulation time necessary to elicit a response (presentation time) was also determined: it was signficantly shorter in normal roots (80 s) than in transformed ones (120 s). The results show that pRi transformed roots are less sensitive to gravity than normal roots.     

Mathematical modelling of morphogenesis in fungi: a key role for curvature compensation ('autotropism') in the local curvature distribution model

The assumption that the mushroom stem has the ability to undergo autonomic straightening enables a mathematical model to be written that accurately mimics the gravitropic reaction of the stems of Coprinus cinereus . The straightening mechanism is called curvature compensation here, but is equivalent to the 'autotropism' that often accompanies the gravitropic reactions of axial organs in plants. In the consequently revised local curvature distribution model, local bending rate is determined by the difference between the 'bending signal' (generated by gravitropic signal perception systems) and the 'straightening signal' (proportional to the local curvature at the given point). The model describes gravitropic stem bending in the standard assay with great accuracy but has the virtue of operating well outside the experimental data set used in its derivation. It is shown, for example, that the mathematical model can be fitted to the gravitropic reactions of stems treated with metabolic inhibitors by a change of parameters that parallel the independently derived physiological interpretation of inhibitor action. The revised local curvature distribution model promises to be a predictive tool in the further analysis of gravitropism in mushrooms.     

SGR1, SGR2, SGR3: novel genetic loci involved in shoot gravitropism in Arabidopsis thaliana.

In higher plants shoots show a negative gravitropic response but little is known about its mechanism. To elucidate this phenomenon, we have isolated a number of mutants with abnormal shoot gravitropic responses in Arabidopsis thaliana. Here we describe mainly three mutants: sgr1-1, sgr2-1, and sgr3-1 (shoot gravitropism). Genetic analysis confirmed that these mutations were recessive and occurred at three independent loci, named SGR1, SGR2, and SGR3, respectively. In wild type, both inflorescence stems and hypocotyls show negative gravitropic responses. The sgr1-1 mutants showed no response to gravity either by inflorescence stems or by hypocotyls. The sgr2-1 mutants also showed no gravitropic response in inflorescence stems but showed a reduced gravitropic response in hypocotyls. In contrast, the sgr3-1 mutant was found to have reduced gravitropic responses in inflorescence stems but normal gravitropic responses in hypocotyls. These results suggest that some genetic components of the regulatory mechanisms for gravitropic responses are common between inflorescence stems and hypocotyls, but others are not. In addition, these sgr mutants were normal with respect to root gravitropism, and their inflorescence stems and hypocotyls could carry out phototropism. We conclude that SGR1, SGR2, and SGR3 are novel genetic loci specifically involved in the regulatory mechanisms of shoot gravitropism in A. thaliana.     

Light-enhanced perception of gravity in stems of intact pea seedlings

Dark-grown, 6-d-old pea seedlings (Pisum sativum L. cv. Alaska) do not respond gravitropically to brief (approx. 3 min) horizontal presentations, but seedlings given a pulse of red light (R) 16–24 h earlier respond to such stimuli by vigorous curvature of the epicotyl. With continuous horizontal stimulation (approx. 100 min), the kinetics and extent of the gravitropic response are almost identical in irradiated and dark-control plants. Prior R thus increases graviperception without altering the rate-limiting steps underlying the generation of curvature. This effect of R on graviperception develops slowly; seedlings studied only a few hours after R show differences in the kinetics of the gravitropic response, but not in presentation time. Neither the kinetics nor the extent of gravitropic curvature should be used as criteria for establishing changes in primary processes in gravitropism.     

Changes in phosphorylation of 50 and 53 kDa soluble proteins in graviresponding oat (Avena sativa) shoots

The present work indicates that phosphorylation of a 50 kDa soluble protein is involved in the gravitropic response in graviresponsive pulvini of oat (Avena sativa) stems. This 50 kDa protein shows a differential pattern of phosphorylation between lower and upper halves of pulvini both in vivo and in vitro. The differential phosphorylation of this protein is detected only when stem segments are gravistimulated for short and long time periods. The differential phosphorylation of the 50 kDa protein occurs as early as 5 min after the initiation of gravistimulation. This corresponds closely to the presentation time of 5.2 min. This differential phosphorylation pattern was changed by treatments with cycloheximide, implying that a newly-synthesized protein is involved in the differential phosphorylation during the gravitropic response. An autophosphorylation experiment shows that the 50 kDa protein has kinase activity. The phosphorylation patterns of a 53 kDa protein were similar to those of the 50 kDa protein, but were only expressed in vitro. These findings indicate that the differential phosphorylation of the 50 (and 53 kDa) soluble proteins in graviresponding oat shoots may be an important component of the gravity signal transduction pathway.     

Temporal course of graviperception in intermittently stimulated cress roots

Gravitropic bending of Lepidium roots caused by intermittent stimulation lasting ≈ 1 h was the same for a particular sum of stimulation intervals and was independent of (i) the length of a single stimulation interval (from 1 to 12·2 s) during which the roots were exposed unilaterally and horizontally, and (ii) rest intervals (from 60 to 300 s) during which roots were horizontally rotated at two revolutions per minute on a clinostat. The same effectiveness of equal sums of short stimulations separated by relatively long rest intervals indicates that the signals into which the stimuli are transduced are: (i) additive; (ii) proportional to the duration of a single stimulation; and (iii) stable for at least 5 min. The perception time is shorter than 1 s, the presentation time is ≈ 10 s. The effects of intermittent stimulation fit the hypothesis that the gravity-induced movement of statoliths changes asymmetrically the stress in cytoskeletal actin filaments, thereby inducing gravitropic bending.     

Gravitropic microtubule reorientation can be uncoupled from growth

The causal relationship between gravitropic growth responses and microtubule reorientation has been studied. Growth and microtubule reorientation have been uncoupled during the gravitropic response of maize (Zea mays L.) coleoptiles. Microtubule orientation and growth were measured under three different conditions: (i) a gravitropic stimulation where the growth response was allowed to be expressed (intact seedlings were displaced from the vertical position by 90°), (ii) a gravitropic stimulation where the growth response was suppressed (coleoptiles were attached to microscope slides and kept in a horizontal position), (iii) suppression of growth in the absence of gravitropic stimulation (coleoptiles were attached to microscope slides and kept in a vertical position). It was found that (i) gravitropic stimulation can induce a microtubular reorientation from transverse to longitudinal in the upper (slower growing) flank of the coleoptile, and an inhibition of growth; (ii) the reorientation of microtubules precedes the inhibition of growth; (iii) the gravitropic response of microtubules is weaker, not elevated, when the inhibition of growth is artificially enhanced by attaching the coleoptiles to a slide; and (iv) artificial inhibition of growth in the absence of gravitropic stimulation cannot induce a microtubular response. Thus, the extent of microtubule reorientation is not correlated with the extent of growth inhibition. Moreover, these findings demonstrate that microtubules do not reorient passively after growth changes, but actively in response to gravitropic stimulation. Received: 23 November 1999 / Accepted: 10 May 2000     

Role of Calcium Channels in Phytochrome-Mediated Regulation of Gravitropic Response

The effect of the inhibitors of calcium channels on red-light (R)-mediated inhibition of gravitropic bending was studied in excised wheat (Triticum aestivumL.) coleoptiles. The effect of a short R pulse (2 min) preceding the gravitropic stimulation was completely alleviated by a similar pulse of far-red light (FR), when the latter preceded the gravitropic stimulation and the delay between R and FR pulses did not exceed 20 min. Plant memory of the R pulse lasted up to 40 min. Neither R nor FR exerted any effect on the gravitropic reaction when applied after gravitropic stimulation. Treatment with 1 M of verapamil, LaCl₃, GdCl₃, or ruthenium red before the gravitropic stimulation prevented or released the R-exerted suppression of the gravitropic response (GR). The GR in coleoptiles is apparently regulated by the phytochrome system at the induction phase and involves calcium channels.     

Gravitropic responses of the Avena coleoptile in space and on clinostats. I. Gravitropic response thresholds

We conducted a series of gravitropic experiments on Avena coleoptiles in the weightlessness environment of Spacelab. The purpose was to test the threshold stimulus, reciprocity rule and autotropic reactions to a range of g-force stimulations of different intensities and durations The tests avoided the potentially complicating effects of earth's gravity and the interference from clinostat ambiguities. Using slow-speed centrifuges, coleoptiles received transversal accelerations in the hypogravity range between 0.1 and 1.0 g over periods that ranged from 2 to 130 min. All responses that occurred in weightlessness were compared to clinostal experiments on earth using the same apparatus.
Characteristic gravitropistic response patterns of Avena were not substantially different from those observed in ground-based experiments. Gravitropic presentation times were extrapolated. The threshold at 1.0 g was less than 1 min (shortest stimulation time 2 min), in agreement with values obtained on the ground. The least stimulus tested, 0.1 g for 130 min, produced a significant response. Therefore the absolute threshold for a gravitropic response is less than 0.1 g.     

Brassinolide interacts with auxin and ethylene in the root gravitropic response of maize (Zea mays)

This study examines how brassinolide (BL) and ethylene interact in the gravitropic response mechanism of maize ( Zea mays ) primary roots. When applied exogenously, ethylene increases the rate of gravitropic curvature in a dose-dependent manner. This effect of ethylene was confirmed by the fact that AVG, a specific action inhibitor of ACC synthase, reduces the gravitropic curvature in the presence and absence of BL. Since AVG did not inhibit BL-increased gravitropic curvature completely, we investigated the possibility that BL may act on the gravitropic response by ways other than simply through enhanced ethylene production. We show that BL exhibits some of its stimulatory effect in the absence of ethylene. In addition, BL reduces the presentation time and lag period for the gravitropic response, whereas ethylene increases them. One possible mechanism of such action is that BL affects protein kinase activity, since the protein kinase inhibitors, staurosporine and H89, reduce BL-increased gravitropic curvature. In summary, BL is involved in the gravitropic response in maize primary roots via ethylene production, but it acts in a way that differs somewhat from that of ethylene.     

On the relation between photo- and gravitropically induced spatial memory in maize coleoptiles

The interaction of photo- and gravitropic stimulation was studied by analysing the curvature of maize (Zea mays L.) coleoptiles subjected to rotation on horizontal clinostats. Gravitropic curvature in different directions with respect to the stimulation plane was found to be transient. This instability was caused by an increasing deviation of response direction from the stimulation plane towards the caryopsis. The bending angle as such, however, increased steadily. This reorientation of the gravitropic response towards the caryopsis is thought to be caused by the clinostat-elicited nastic curvature found in maize coleoptiles. In contrast, the response to phototropic stimulation was stable, in both, orientation and curving. Although stimulation by gravity was not capable of inducing a stable tropistic response, it could inhibit the response to opposing phototropic stimulation, if the counterstimulation was given more than 90 min after the onset of gravistimulation. For shorter time intervals the influence of the phototropic stimulus obscured the response to the first, gravitropic stimulation. For time intervals exceeding 90 min, however, the phototropic effects disappeared and the response was identical to that for gravity stimulation alone. This gravity-induced inhibition of the phototropic response was confined to the plane of gravity stimulation, because a phototropic stimulation in the perpendicular direction remained unaffected, irrespective of the time interval between the stimulations. This concerned not only the stable phototropic curving, but also the capacity of the phototropic induction to elicit a stable directional memory as described earlier (P. Nick and F. Schäfer, 1988b, Planta 175, 380–388). This was tested by a second bluelight pulse opposing the first. It is suggested that gravity, too, can induce a directional memory differing from the blue-light elicited memory. The mechanisms mediating gravi- and phototropic directional memories are thought to branch off the respective tropistic signal chains at a stage where photo- and gravitropic transduction are still separate.This work was supported by the Deutsche Forschungsgemeinschaft and a grant of the Studienstiftung des Deutschen Volkes to P. Nick.     

Hypergravity can reduce but not enhance the gravitropic response ofChara globularis protonemata

Summary The relationship between the position of the statoliths and the direction and rate of tip growth in negatively gravitropic protonemata ofChara globularis was studied with a centrifuge video microscope. Cells placed perpendicularly to the acceleration vector (stimulation angle 90 °) showed a gradual reduction of the gravitropic curvature with increasing accelerations from 1g to 8g despite complete sedimentation of all statoliths on the centrifugal cell flank. It is argued that the increased weight of the statoliths in hypergravity impairs their acropetal transport which is induced when the cell axis deviates from the normal upright orientation. When the statoliths were centrifuged deep into the apical dome at 6g and a stimulation angle of 170 ° the gravitropic curvature after 1 h was identical to that determined for the same cells at 1g and the same stimulation angle. This indicates that gravitropism in Chara protonemata is either independent of the pressure exerted by the statoliths on an underlying structure or is already saturated at 1g. When the statoliths were moved along the apical cell wall at 8g and the stimulation angle was gradually increased from 170 ° to 220 ° the gravitropic curvature reverted sharply when the cluster of statoliths passed over the cell pole. This experiment supports the hypothesis that in Chara protonemata asymmetrically distributed statoliths inside the apical dome displace the Spitzenkörper and thus the centre of growth, resulting in gravitropic bending. In contrast to the positively gravitropic Chara rhizoids, no modifications either in the transport of statoliths during basipetal acceleration (6g, stimulation angle 0 °, 5 h) or in the subsequent gravitropic response could be detected in the protonemata. The different effects of centrifugation on the positioning of statoliths in Chara protonemata and rhizoids indicate subtle differences in the function of the cytoskeleton in both types of cells.Dedicated to Prof. Dr. Zygmunt Hejnowicz on the occasion of his 70th birthday     

The role of calmodulin in the gravitropic response of the Arabidopsis thaliana agr-3 mutant

Calmodulin, a primary plant calcium receptor, is known to be intimately involved with gravitropic sensing and transduction. Using the calmodulin-binding inhibitors trifluoperazine, W7 and calmidazolium, gravitropic curvature of Arabidopsis thaliana (L.) Heynh, ecotype Landsberg, roots was separable into two phases. Phase I was detected at very low concentrations (0.01 μM) of trifluoperazine and calmidazolium, did not involve growth changes, accounted for about half the total curvature of the root and may represent the specific contribution of the cap to gravity sensing. Phase II commenced around 1.0 μM and involved inhibition of both growth and curvature. The agr-3 mutant exhibited a reduced gravitropic response and was found to lack phase I curvature, suggesting that the mutation alters either use or expression of calmodulin. The sequences of wild-type and agr-3 calmodulin (CaM-1) cDNAs, which are root specific were completely determined and found to be identical. Upon gravitropic stimulation, wild-type Arabidopsis seedlings increased calmodulin mRNA levels by threefold in 0.5 h. On the other hand, gravitropic stimulation of agr-3 decreased calmodulin mRNA accumulation. The possible basis of the two phases of curvature is discussed and it is concluded that agr-3 has a lesion located in a general gravity transmission sequence, present in many root cells, which involves calmodulin mRNA accumulation.     

Biomechanical design and long-term stability of trees: Morphological and wood traits involved in the balance between weight increase and the gravitropic reaction

Studies on tree biomechanical design usually focus on stem stiffness, resistance to breakage or uprooting, and elastic stability. Here we consider another biomechanical constraint related to the interaction between growth and gravity. Because stems are slender structures and are never perfectly symmetric, the increase in tree mass always causes bending movements. Given the current mechanical design of trees, integration of these movements over time would ultimately lead to a weeping habit unless some gravitropic correction occurs. This correction is achieved by asymmetric internal forces induced during the maturation of new wood.The long-term stability of a growing stem therefore depends on how the gravitropic correction that is generated by diameter growth balances the disturbance due to increasing self weight. General mechanical formulations based on beam theory are proposed to model these phenomena. The rates of disturbance and correction associated with a growth increment are deduced and expressed as a function of elementary traits of stem morphology, cross-section anatomy and wood properties. Evaluation of these traits using previously published data shows that the balance between the correction and the disturbance strongly depends on the efficiency of the gravitropic correction, which depends on the asymmetry of wood maturation strain, eccentric growth, and gradients in wood stiffness. By combining disturbance and correction rates, the gravitropic performance indicates the dynamics of stem bending during growth. It depends on stem biomechanical traits and dimensions. By analyzing dimensional effects, we show that the necessity for gravitropic correction might constrain stem allometric growth in the long-term. This constraint is compared to the requirement for elastic stability, showing that gravitropic performance limits the increase in height of tilted stem and branches. The performance of this function may thus limit the slenderness and lean of stems, and therefore the ability of the tree to capture light in a heterogeneous environment.     

Gravitropic sign reversal--a fundamental feature of the gravitropic perception or response mechanisms in some plant organs

The direction of the gravitational response of some plant organsreverses during development. For instance, the apical hook ofan etiolated hypocotyl is formed because the youngest part ofthe elongation zone is positively gravitropic while the moremature elongating region is negatively gravitropic. Likewise,the youngest nodes of some trailing plants such as Oplimenushirtellus are negatively gravitropic, but the same nodes laterin their developmental progression are positively gravitropic. The sign of the gravitropic response in some organs not onlychanges developmentally, but can also be controlled by light.The positive gravitropic phase of hypocotyls and nodes is absentin light-grown plants. At least in the case of Oplimenus nodes,the light exposure changes the sign of the gravitropic responseof some of the older nodes from negative to positive. Likewisethe older nodes of light-grown plants can change their gravitropicresponse from positive to negative when transferred to darkness. This ability of an organ to reverse the direction of its gravitropicresponse has been given the term gravitropic sign reversal andit is argued that the process is so widespread that it mustbe a consequence of some property of either the gravitropicperception or the gravitropic response mechanism. The fact thatan organ can reversibly alter the direction of the gravitropicresponse has considerable implications for models of gravitropism. Key words: Gravitropism, perception, hypocotyls, nodes, models