Voltage-Dependent Reversal of Anodic Galvanotaxis in Nyctotherus ovalis

Aerobic and anaerobic ciliates swim towards the cathode when they are exposed to a constant DC field. Nyctotherus ovalis from the intestinal tract of cockroaches exhibits a different galvanotactic response: at low strength of the DC field the ciliates orient towards the anode whereas DC fields above 2-4 V/cm cause cathodic swimming. This reversal of the galvanotactic response is not due to backward swimming. Rather the ciliates turn around and orient to the cathode with their anterior pole. Exposure to various cations, chelators, and Ca(2+)-channel inhibitors suggests that Ca(2+)-channels similar to the "long lasting" Ca(2+)-channels of vertebrates are involved in the voltage-dependent anodic galvanotaxis. Evidence is presented that host-dependent epigenetic factors can influence the voltage-threshold for the switch from anodic to cathodic swimming.     

Input-output relationship in galvanotactic response of Dictyostelium cells

Under a direct current electric field, Dictyostelium cells exhibit migration towards the cathode. To determine the input-output relationship of the cell's galvanotactic response, we developed an experimental instrument in which electric signals applied to the cells are highly reproducible and the motile response are analyzed quantitatively. With no electric field, the cells moved randomly in all directions. Upon applying an electric field, cell migration speeds became about 1.3 times faster than those in the absence of an electric field. Such kinetic effects of electric fields on the migration were observed for cells stimulated between 0.25 and 10 V/cm of the field strength. The directions of cell migrations were biased toward the cathode in a positive manner with field strength, showing galvanotactic response in a dose-dependent manner. Quantitative analysis of the relationship between field strengths and directional movements revealed that the biased movements of the cells depend on the square of electric field strength, which can be described by one simple phenomenological equation. The threshold strength for the galvanotaxis was between 0.25 and 1 V/cm. Galvanotactic efficiency reached to half-maximum at 2.6 V/cm, which corresponds to an approximate 8 mV voltage difference between the cathode and anode direction of 10 microm wide, round cells. Based on these results, possible mechanisms of galvanotaxis in Dictyostelium cells were discussed. This development of experimental system, together with its good microscopic accessibility for intracellular signaling molecules, makes Dictyostelium cells attractive as a model organism for elucidating stochastic processes in the signaling systems responsible for cell motility and its regulations.     

Two phases of actin polymerization display different dependencies on PI(3,4,5)P3 accumulation and have unique roles during chemotaxis

The directional movement of cells in chemoattractant gradients requires sophisticated control of the actin cytoskeleton. Uniform exposure of Dictyostelium discoideum amoebae as well as mammalian leukocytes to chemoattractant triggers two phases of actin polymerization. In the initial rapid phase, motility stops and the cell rounds up. During the second slow phase, pseudopodia are extended from local regions of the cell perimeter. These responses are highly correlated with temporal and spatial accumulations of PI(3,4,5)P3/PI(3,4)P2 reflected by the translocation of specific PH domains to the membrane. The slower phase of PI accumulation and actin polymerization is more prominent in less differentiated, unpolarized cells, is selectively increased by disruption of PTEN, and is relatively more sensitive to perturbations of PI3K. Optimal levels of the second responses allow the cell to respond rapidly to switches in gradient direction by extending lateral pseudopods. Consequently, PI3K inhibitors impair chemotaxis in wild-type cells but partially restore polarity and chemotactic response in pten- cells. Surprisingly, the fast phase of PI(3,4,5)P3 accumulation and actin polymerization, which is relatively resistant to PI3K inhibition, can support inefficient but reasonably accurate chemotaxis.     

Behavior of Dictyostelium amoebae is regulated primarily by the temporal dynamic of the natural cAMP wave.

The instantaneous velocity plots of Dictyostelium discoideum amoebae responding to natural waves and simulated temporal waves of cAMP with periods of 7 min are highly similar. This similarity has been used to deduce the dynamics of a natural wave crossing an amoeba, and the behavior of amoebae has been characterized during the different phases of a natural wave with a computer-assisted dynamic image analyzing system. During the first approximately 150 sec of the front of a natural wave, cells move persistently toward the aggregation center, with high instantaneous velocity and a decreased frequency of lateral pseudopod formation. During the last 30 sec of the front of the wave and the first 30 sec of the back of the wave, there is a "freeze" in cell shape and a dramatic depression in cell motility, pseudopod formation, and intracellular particle movement. During the last 180 sec of the back of the wave, there is a rebound in pseudopod formation, but it is random in direction and leads to no net cellular translocation. The data suggest that all of the behavior of a cell but orientation during the translocation phase is mediated by the temporal dynamics of the wave. The data also suggest that orientation toward the aggregation center occurs early in the front of the wave and that, once oriented, cells move in a blind fashion during the translocation phase.     

Galvanotactic Migration of EA.Hy926 Endothelial Cells in a Novel Designed Electric Field Bioreactor

Endogenous direct current electric fields (dcEFs) play a significant role in major biological processes such as embryogenesis, wound healing, and tissue regeneration. In this study, the galvanotaxis of human umbilical vein endothelial cell line EA.Hy926 was investigated by using a novel designed bioreactor. The physical features of the bioreactor were discussed and analyzed by both numerical simulation method and equivalent circuit model method. EA.Hy926 cells were cultured in the bioreactor for 10–24 h under 50–250 mV/mm dcEFs. Cell migration direction, distance, and velocity were recorded under an online time-lapse microscope. The effects of serum and growth factor on cell galvanotatic migration were investigated. To further explore the role of dcEFs in regulating endothelial cells, we analyzed the endothelial cell proliferation and secretion of nitric oxide (NO), endothelin-1 (ET-1) in response to dcEFs of physiological strength. Our results showed that EA.Hy926 cells had an obvious directional migration to the cathode, and the EF-directed migration was voltage dependent. The results also showed dcEFs did not affect cell proliferation, but affected the productions of NO and ET-1. Our study also showed the novel bioreactor, with a compact and planar style, makes it more convenient and more reasonable for EF stimulation experiments than earlier chamber designs.     

Inositol 1,4,5-trisphosphate induces cyclic GMP formation in Dictyostelium discoideum

Chemotactic signalling in the cellular slime mould Dictyostelium discoideum employs signalling molecules such as folate and cyclic AMP. These bind to specific cell surface receptors and rapidly trigger internal responses that induce chemotactic movement of the amoebae. Previous studies have shown that actin is polymerised within 3-5 sec of cyclic AMP or folate binding and that a peak of cyclic GMP is formed within 9-12 sec. Release of Ca2+ from intracellular stores has been implicated as a secondary messenger. Here we present evidence that D-myo-inositol 1,4,5-trisphosphate, when added to permeabilized amoebae of Dictyostelium, can mimic the action of chemoattractants on normal intact amoebae in inducing cyclic GMP formation. Our data suggest that IP3, which is known to act as an intermediary messenger between cell surface hormone receptors and release of Ca2+ from internal stores in mammalian cells, functions in a similar capacity during chemotaxis of this primitive eukaryote.     

Local Calcium Elevation and Cell Elongation Initiate Guided Motility in Electrically Stimulated Osteoblast-Like Cells

Background

Investigation of the mechanisms of guided cell migration can contribute to our understanding of many crucial biological processes, such as development and regeneration. Endogenous and exogenous direct current electric fields (dcEF) are known to induce directional cell migration, however the initial cellular responses to electrical stimulation are poorly understood. Ion fluxes, besides regulating intracellular homeostasis, have been implicated in many biological events, including regeneration. Therefore understanding intracellular ion kinetics during EF-directed cell migration can provide useful information for development and regeneration.

Methodology/Principal Findings

We analyzed the initial events during migration of two osteogenic cell types, rat calvarial and human SaOS-2 cells, exposed to strong (10–15 V/cm) and weak (≤5 V/cm) dcEFs. Cell elongation and perpendicular orientation to the EF vector occurred in a time- and voltage-dependent manner. Calvarial osteoblasts migrated to the cathode as they formed new filopodia or lamellipodia and reorganized their cytoskeleton on the cathodal side. SaOS-2 cells showed similar responses except towards the anode. Strong dcEFs triggered a rapid increase in intracellular calcium levels, whereas a steady state level of intracellular calcium was observed in weaker fields. Interestingly, we found that dcEF-induced intracellular calcium elevation was initiated with a local rise on opposite sides in calvarial and SaOS-2 cells, which may explain their preferred directionality. In calcium-free conditions, dcEFs induced neither intracellular calcium elevation nor directed migration, indicating an important role for calcium ions. Blocking studies using cadmium chloride revealed that voltage-gated calcium channels (VGCCs) are involved in dcEF-induced intracellular calcium elevation.

Conclusion/Significance

Taken together, these data form a time scale of the morphological and physiological rearrangements underlying EF-guided migration of osteoblast-like cell types and reveal a requirement for calcium in these reactions. We show for the first time here that dcEFs trigger different patterns of intracellular calcium elevation and positional shifting in osteogenic cell types that migrate in opposite directions.     

Rapid redistribution of myosin II in livingDictyostelium amoebae,as revealed by fluorescent probes introduced by electroporation

Summary Fluorescently labeled myosin II fromDictyostelium and fluorescently labeled antibody Fab fragments against myosin II fromDictyostellium were introduced into livingDictyostelium amoebae by electroporation. Fluorescent labeling of myosin II impairs neither actin-activated ATPase activity nor the ability to form filaments in vitro. Fluorescently labeled Fab also did not interfere with the functions of myosin II in vitro. After electroporation, introduced fluorescently labeled myosin II was distributed diffusely in the endoplasm but some of it accumulated at the tail cortical region of migrating cells. During the course of observations, intense fluorescence due to myosin II disappeared and then it appeared again instantaneously in the cortical regions during amoeboid movement. Fluorescently labeled Fab, after electroporation, bound to endogenous myosin II in amoebae and the dynamic changes in its distribution were similar to those of fluorescently labeled myosin II. The fluorescence due to myosin II also underwent dynamic redistribution during the division of cells and chemotactic stimulation. The introduction of labeled Fab and labeled myosin II did not impair the motility ofDictyostelium. During changes in direction associated with cell locomotion, myosin II accumulated at the original front region of the cell and, thereafter, the accumulation was observed at the new tail region of the cell. These results are consistent with the hypothesis that myosin II has two possible roles for cell locomotion. One is that myosin II accumulates at tail regions to produce the power required for contraction. The other is that it hinders the extension of pseudopods in directions other than the frontal direction.     

Microtubule-dependent migration of the cell nucleus toward a future leading edge in amoebae ofPhysarum polycephalum

Summary In several cell types, an intriguing correlation exists between the position of the centrosome and the direction of cell locomotion. The centrosome is positioned between the leading edge pseudopod and the nucleus. This suggests that the polarized distribution of organelles in the cytoplasm is coupled spatially with structural and functional polarity in the cell cortex. To study cellular polarization with special interest in the roles of microtubules, we have analyzed the effects of microtubule-disrupting reagents and local laser irradiation on behaviors of both the nucleus and the centrosome in living amoebae ofPhysarum polycephalum. Physarum cells often have 2–3 pseudopods. One of the pseudopods keeps extending to become a stable leading edge while the rest retracts, a crucial step that reorients cells during locomotion. The nucleus, together with the centrosome, moves specifically toward the pseudopod that will become the leading edge. Disruption of microtubules with nocodazole randomizes positions of the nucleus, indicating the involvement of microtubules in the directional migration of the nucleus toward a specific pseudopod. The migration direction of the nucleus is reversed immediately after the UV laser is irradiated at regions between the nucleus and the future leading pseudopod. In contrast, irradiation at regions between the future tail and the nucleus does not affect nuclear migration. By immunofluorescence, we confirmed fragmentation of microtubules specifically in the irradiated region. These results suggest that the nucleus is pulled together with the centrosome toward the future leading-edge pseudopod in a microtubule-dependent manner. Microtubules seem to exert the pulling force generated in the cell cortex on the centrosome. They may serve as a mediator of shape changes initiated in the cell cortex to the organelle geometry in the endoplasm.     

Galvanotaxis of human granulocytes: electric field jump studies

The static and dynamic responses of human granulocytes to an electric field were investigated. The trajectories of the cells were determined from digitized pictures (phase contrast). The basic results are: (i) The track velocity is a constant as shown by means of the velocity autocorrelation function. (ii) The chemokinetic signal transduction/response mechanism is described in analogy to enzyme kinetics. The model predicts a single gaussian for the track velocity distribution density as measured. (iii) The mean drift velocity induced by an electric field, is the product of the mean track velocity and the polar order parameter. (iv) The galvanotactic dose-response curve was determined and described by using a generating function. This function is linear in E for E < E ₀ = 0.78 V/mm with a galvanotaxis coefficient K _G of (–0.22 V/mm)^–1 at 2.5 mM Ca⁺⁺. For E > E ₀ the galvanotactic response is diminished. This inhibition is described by a second term in the generating function (–K _G · K _I (E – E ₀)) with an inhibition coefficient K _I of 3.5 (v) The characteristic time involved in directed movement is a function of the applied electric field strength: about 30 s at low field strengths and below 10 s at high field strengths. The characteristic time is 32.4 s if the cells have to make a large change in direction of movement even at large field strength (E jump). (vi) The lag-time between signal recognition and cellular response was 8.3 s. (vii) The galvanotactic response is Ca⁺⁺ dependent. The granulocytes move towards the anode at 2.5 mM Ca⁺⁺ towards the cathode at 0.1 mM Ca⁺⁺. (viii) The directed movement of granulocytes can be described by a proportional-integral controler. Offprint requests to: H. Gruler     

Galvanotaxis of human granulocytes

The galvanotactic response of human granulocytes was investigated theoretically and experimentally. The basic results are: (i) The granulocytes move towards the anode. (ii) The directed movement has been quantified by two different polar order parameters-the McCutcheon index and the average of cos . (iii) The polar order parameters are a function of the applied electric field (= dose-response curve). (iv) The inverse of the galvanotactic constant of migrating cells (analogous to the Michaelis-Menten constant) has a value of-0.2±0.03 V/mm. (v) The galvanotactic response of granulocytes is a non-cooperative process with a cooperativity coefficient of 1±0.2. (vi) The galvanotactic constant is a function of pH. (vii) The protein essential for the galvanotactic response is very likely a G-protein.     

Lung cancer A549 cells migrate directionally in DC electric fields with polarized and activated EGFRs

Endogenous direct-current electric fields (dcEFs) occur in vivo in the form of epithelial transcellular potentials or neuronal field potentials. A variety of cells respond to dcEFs by migrating directionally, and this is termed galvanotaxis. The mechanism by which dcEFs direct cell movement, however, is not yet understood, and the effects on lung cancer cells are entirely unknown. We demonstrated that cultured human lung adenocarcinoma A549 cells migrate toward the cathode in applied dcEFs at 3 V/cm. Fluorescence microscopy showed that both epidermal growth factor receptors (EGFRs) and F-actin are polarized to the cathode. EGFR inhibitors, cetuximab and AG1478, reduced the migration rate and directed motility in dcEFs. Western blots showed that ERK and AKT signaling pathways were prominently promoted by dcEFs. EGFR inhibitors could reduce this promotion but not completely. These data suggest that polarization of EGFRs and the activation of their downstream signals play an important role in the galvanotaxis of A549 cells in dcEFs.     

Electric fields induce curved growth of Enterobacter cloacae, Escherichia coli, and Bacillus subtilis cells: implications for mechanisms of galvanotropism and bacterial growth.

Directional growth in response to electric fields (galvanotropism) is known for eukaryotic cells as diverse as fibroblasts, neurons, algae, and fungal hyphae. The mechanism is not understood, but all proposals invoke actin either directly or indirectly. We applied electric fields to bacteria (which are inherently free of actin) to determine whether actin was essential for galvanotropism. Field-treated (but not control) Enterobacter cloacae and Escherichia coli cells curved rapidly toward the anode. The response was both field strength and pH dependent. The direction of curvature was reversed upon reversal of field polarity. The directional growth was not due to passive bending of the cells or to field-induced gradients of tropic substances in the medium. Field-treated Bacillus subtilis cells also curved, but the threshold was much higher than for E. cloacae or E. coli. Since the curved morphology must reflect spatial differences in the rates of cell wall synthesis and degradation, we looked for regions of active wall growth. Experiments in which the cells were decorated with latex beads revealed that the anode-facing ends of cells grew faster than the cathode-facing ends of the same cells. Inhibitors of cell wall synthesis caused spheroplasts to form on the convex regions of field-treated cells, suggesting that the initial curvature resulted from enhanced growth of cathode-facing regions. Our results indicate that an electric field modulates wall growth spatially and that the mechanism may involve differential stimulation of wall growth in both anode- and cathode-facing regions. Electric fields may therefore serve as valuable tools for studies of bacterial wall growth. Use of specific E. coli mutants may allow dissection of the galvanotropic mechanism at the molecular level.     

Chemotactically-induced redistribution of CD43 as related to polarity and locomotion of human polymorphonuclear leucocytes

Leukocyte motility involves pseudopods extension at the leading edge and uropod contraction at the cell rear. Previous studies have shown that the glycoprotein CD43 redistributes to the uropod, when the cells develop polarity and locomotion. The present study addresses the question whether the accumulation of specific membrane molecules, such as CD43 at the contracted uropod precedes or follows development of polarity and locomotion. PMNs were labeled with fluorescent anti-CD43 antibodies and guided to polarize in the direction of a chemoattractant-containing micropipette or, once polarized, they were forced to reverse polarity and movement direction by placing the micropipette behind the uropod. This chemotactically-induced reversal of polarity was used as an efficient tool to analyse the sequence of events. CD43, but not another abundant surface glycoprotein CD45, was concentrated at the uropod. This documents that CD43 redistribution is a selective phenomenon. During reversal of polarity and of locomotion direction, the geometric center of the cell clearly changed direction earlier than the center of anti-CD43 fluorescence intensity. Thus, CD43 redistribution to the new uropod follows rather than precedes reversal of polarity, suggesting that CD43 redistribution is a consequence rather than a prerequisite for polarity and locomotion. PMNs making a U-turn maintained the pre-existing polarity and CD43 remained concentrated at the uropod, even when the front was moving in the opposite direction. Our data show that anterior pseudopod formation, rather than capping of CD43 at the uropod or the position of the uropod determines the direction of locomotion.     

Auditory Cortical Areas Activated by Slow Frequency-Modulated Sounds in Mice

Species-specific vocalizations in mice have frequency-modulated (FM) components slower than the lower limit of FM direction selectivity in the core region of the mouse auditory cortex. To identify cortical areas selective to slow frequency modulation, we investigated tonal responses in the mouse auditory cortex using transcranial flavoprotein fluorescence imaging. For differentiating responses to frequency modulation from those to stimuli at constant frequencies, we focused on transient fluorescence changes after direction reversal of temporally repeated and superimposed FM sweeps. We found that the ultrasonic field (UF) in the belt cortical region selectively responded to the direction reversal. The dorsoposterior field (DP) also responded weakly to the reversal. Regarding the responses in UF, no apparent tonotopic map was found, and the right UF responses were significantly larger in amplitude than the left UF responses. The half-max latency in responses to FM sweeps was shorter in UF compared with that in the primary auditory cortex (A1) or anterior auditory field (AAF). Tracer injection experiments in the functionally identified UF and DP confirmed that these two areas receive afferent inputs from the dorsal part of the medial geniculate nucleus (MG). Calcium imaging of UF neurons stained with fura-2 were performed using a two-photon microscope, and the presence of UF neurons that were selective to both direction and direction reversal of slow frequency modulation was demonstrated. These results strongly suggest a role for UF, and possibly DP, as cortical areas specialized for processing slow frequency modulation in mice.     

Coupling cell shape and velocity leads to oscillation and circling in keratocyte galvanotaxis

During wound healing, fish keratocyte cells undergo galvanotaxis where they follow a wound-induced electric field. In addition to their stereotypical persistent motion, keratocytes can develop circular motion without a field or oscillate while crawling in the field direction. We developed a coarse-grained phenomenological model that captures these keratocyte behaviors. We fit this model to experimental data on keratocyte response to an electric field being turned on. A critical element of our model is a tendency for cells to turn toward their long axis, arising from a coupling between cell shape and velocity, which gives rise to oscillatory and circular motion. Galvanotaxis is influenced not only by the field-dependent responses, but also cell speed and cell shape relaxation rate. When the cell reacts to an electric field being turned on, our model predicts that stiff, slow cells react slowly but follow the signal reliably. Cells that polarize and align to the field at a faster rate react more quickly and follow the signal more reliably. When cells are exposed to a field that switches direction rapidly, cells follow the average of field directions, while if the field is switched more slowly, cells follow a “staircase” pattern. Our study indicated that a simple phenomenological model coupling cell speed and shape is sufficient to reproduce a broad variety of different keratocyte behaviors, ranging from circling to oscillation to galvanotactic response, by only varying a few parameters.     

Relationship of pseudopod extension to chemotactic hormone-induced actin polymerization in amoeboid cells

Aggregation-competent amoeboid cells of Dictyostelium discoideum are chemotactic toward cAMP. Video microscopy and scanning electron microscopy were used to quantitate changes in cell morphology and locomotion during uniform upshifts in the concentration of cAMP. These studies demonstrate that morphological and motile responses to cAMP are sufficiently synchronous within a cell population to allow relevant biochemical analyses to be performed on large numbers of cells. Changes in cell behavior were correlated with F-actin content by using an NBD-phallacidin binding assay. These studies demonstrate that actin polymerization occurs in two stages in response to stimulation of cells with extracellular cAMP and involves the addition of monomers to the cytochalasin D-sensitive (barbed) ends of actin filaments. The second stage of actin assembly, which peaks at 60 sec following an upshift in cAMP concentration, is temporally correlated with the growth of new pseudopods. The F-actin assembled by 60 sec is localized in these new pseudopods. These results indicate that actin polymerization may constitute one of the driving forces for pseudopod extension in amoeboid cells and that nucleation sites regulating polymerization are under the control of chemotaxis receptors.     

Electrophoretic repatterning of charged cytoplasmic molecules within tissues coupled by gap junctions by externally applied electric fields

Ionic currents and cytoplasmic voltage gradients have been observed in a variety of polarizing cells and developing tissues. In certain cases, it has been determined that these endogenous electric fields can segregate intracellular charged molecules by electrophoresis; in other cases, the endogenous fields are suspected to have such an influence. Separate theoretical suggestions have been made that extracellular electric currents, whether from a biological or a nonbiological source, should be able to electrophorese intracellular molecules after being conducted through cell membranes into the interior of long single cells [L.F. Jaffe and R. Nuccitelli (1977) Annu. Rev. Biophys. Bioeng. 6, 445-476] or extended ensembles of cells coupled electrotonically by gap junctions [M.S. Cooper (1984) J. Theor. Biol. 111, 123-130]. To test whether external electric fields could redistribute intracellular molecules within a tissue coupled by gap junctions, and to quantitatively measure in situ the electrophoretic mobility of a charged intracellular molecule, we injected 6-carboxyfluorescein into the electrotonically coupled lateral giant neurons of the crayfish abdominal nerve cord. When a dc electric field (0.2-3.4 V/cm) was subsequently applied along the length of the cord, the negatively charged fluorescent dye was observed to migrate through both the cytoplasms and the gap junctions of the lateral giant neurons, toward the anode, at a rate directly proportional to the applied electric field strength (electrophoretic mobility = -0.92 +/- 0.27 micron/sec per V/cm). These results suggest that electric fields of a sufficient magnitude, whether of an exogenous or an endogenous origin, can repattern the distribution of charged molecules within the cytoplasm of an extended ensemble of coupled cells. In addition, these results suggest that externally applied electric fields might be used in studies of pattern formation to repattern the intercellular distribution of charged molecules that are permeant to gap junctions within electrically coupled tissues.     

The mechanism of ciliary movement. 3. Theory of suppression of reversal by electrical potential of cilia reversed by barium ions

It is well known that Paramecium (1) is cathodally galvanotactic in mixtures of sodium and calcium salts because of ciliary reversal at the cathodal end, and that (2) the cilia also may be reversed in solutions rich in monovalent cations or in barium or manganese ions, and (3) the organisms swim backward in these solutions. It also is well known (Kamada, '31) that Paramecium in solutions of barium salts (4) is anodally galvanotactic at low electric potentials, (5) is cathodally galvanotactic at higher potentials, and (6) again becomes anodally galvanotactic if the potential is lowered, but these results have never been explained. However, they can be explained if the membrane is assumed to act as an ion exchanger. Cilia are reversed by barium because barium replaces some of the calcium on the membrane. When a low cathodal potential is applied, the barium, because of its high electrophoretic velocity (Ba++> Ca++> Na+) is removed, thereby causing a suppression of the reversal. If the potential is increased, calcium is also removed, leaving mostly sodium on the membrane, and this causes a return of the reversal. Lowering the potential again causes a suppression of the reversal. Changes at the anodal end can be explained in a comparable manner.