Extraction of cilium beat parameters by the combined application of photoelectric measurements and computer simulation.

Photoelectric signals were created and used to investigate the features of the signals as a function of the ciliary beat parameters. Moreover, correlation between the simulated and the measured signals permitted measurement of the cilium beat parameters. The simulations of the signals were based on generation of a series of time-frozen top-view frames of an active ciliary area and determination of the amount of light passing through an observation area in each of these frames. All the factors that might contribute to the shape of the signals, namely, partial ciliary transmittance of light, three-dimensional ciliary beat (composed of recovery, effective, and pause parts), phase distribution on the ciliary surface, and the large number of cilia that contribute to the photoelectric signal, were taken into account in generation of the signals. Changes in the ciliary parameters influenced the shape of the photoelectric signals, and the different phases of the beat could not be directly and unequivocally identified in the signals. The degree of temporal asymmetry of the beat and the portion of the cycle occupied by the pause significantly influenced the shapes of both the lower and the upper parts of the signal and the slopes of the signal. Increases in the angle of the arc swept by the cilium during the effective stroke smoothed the signals and increased the duration of the upper part of the signal. The angle of the arc projected by the cilium onto the cell surface during the recovery stroke had minor effects on the signal's shape. Characteristics of the metachronal wave also influenced the signal's shape markedly. Decreases in ciliary spacing smoothed the signals, whereas ciliary length had a minor influence on the simulated photoelectric signals. Comparison of the simulated and the measured signals showed that the beat parameters of the best-fitting simulated signals converged to values that agree well with the accepted range of beat parameters in mucociliary systems.     

Regulation of airway ciliary activity by Ca2+: simultaneous measurement of beat frequency and intracellular Ca2+.

Airway ciliary activity is influenced by [Ca2+]i, but this mechanism is not fully understood. To investigate this relationship, ciliary activity and [Ca2+]i were measured simultaneously from airway epithelial ciliated cells. Ciliary beat frequency was determined, for each beat cycle, with phase-contrast optics and high-speed video imaging (at 240 images s-1) and correlated with [Ca2+]i determined, at the ciliary base, by fast imaging (30 images s-1) of fura-2 fluorescence. As a mechanically induced intercellular Ca2+ wave propagated through adjacent cells, [Ca2+]i was elevated from a baseline concentration of 45 to 100 nM, to a peak level of up to 650 nM. When the Ca2+ wave reached the ciliary base, the beat frequency rapidly increased, within a few beat cycles, from a basal rate of 6.4 to 11.6 Hz at 20-23 degrees C, and from 17.2 to 26.7 Hz at 37 degrees C. Changes in [Ca2+]i, above 350 nM, had no effect on the maximum beat frequency. We suggest that airway ciliary beat frequency is 1) controlled by a low range of [Ca2+]i acting directly at an axonemal site at the ciliary base and 2) that a maximum frequency is induced by a change in [Ca2+]i of approximately 250-300 nM.     

Regulation of ciliary activity in the mammalian respiratory tract

A computer-assisted transillumination, photoelectronic technique has been used to measure the beat frequency of cilia of rabbit tracheal cells grown in culture. When ciliated cells are mechanically stimulated with a microprobe the cells respond rapidly by increasing the beat frequency of their cilia. This mechanosensitive response is not limited to the stimulated cell, but is communicated in all directions to neighboring cells. To characterize the progression of this communicated response we used an automated computer-assisted imaging system to examine high-speed films of responding cells. The time it takes for the response to be transmitted between cells is slow (1-3 sec) with each cell responding after a lag-time that is proportional to the distance of the cell from the stimulated cell. We have confirmed that gap junctions are present between cells and that adjacent or non-adjacent ciliated, as well as non-ciliated, cells are electrically coupled. To correlate the mechanosensitive response with intracellular calcium fluxes we have used fura-2, a calcium-specific fluorescent dye, and digital video microscopy. Mechanical stimulation of the cultured ciliated cells, in the presence of extracellular calcium, resulted in an initial increase in intracellular calcium, which was communicated to neighboring cells. Without extracellular calcium, mechanosensitivity of cultured cells was lost and a small decrease in intracellular calcium was observed in the stimulated cell. However, neighboring cells still displayed an increase in intracellular calcium. The time course and general pattern of calcium increase in adjacent cells was similar to the responses in ciliary activity produced by mechanical stimulation. Ciliary beat frequency is also elevated by beta-adrenergic drugs independently of mechanosensitivity. These responses are important because they could provide a dual regulatory mechanism for the control of mucus transport. Adrenergic agonists could provide non-specific control by increasing ciliary activity throughout the airways while mechanosensitivity could provide local control by increasing activity in those regions of heavy mucus load.     

On metachronism in ciliary systems: a model describing the dependence of the metachronal wave properties on the intrinsic ciliary parameters

A mathematical model is proposed to explain the dependence of the direction and the length of the metachronal wave on parameters that characterize the ciliary beat, the dimensions of the cilia, and the geometry of their arrangement on the ciliated surface. The metachronal wave is decomposed into two mutually perpendicular components, which are chosen in such a way that the direction of one of them is in the direction of the effective stroke. The magnitudes of the two components are determined by using the concept of the time of delay between adjacent cilia. The properties of the metachronal wave are then calculated as a function of the ciliary parameters. The results obtained with the present model predict that the direction of the wave propagation is strongly dependent on the type of metachronism in the direction of the effective stoke and the polarization in time and in space of the ciliary beat. The metachronal wavelength is found to depend on four parameters: the ciliary length, the angle of the arc projected on the cell surface by the ciliary tip during the recovery stroke, the degree of asymmetry of ciliary beat, and the portion of the cycle occupied by the pause. The metachronal wavelength is also found to be only weakly dependent on the ciliary frequency. At this stage there exists relatively little experimental information with which to characterize fully the metachronal properties of ciliary systems. Even when only partial information exists, the model allows prediction, to within a certain range, of the direction of the wave propagation. It also suggests a possible mechanism for the influence of changes in environmental conditions on wave direction and wavelength. In several cases in which full information does exist, good agreement between the experimental findings and the predictions of the model is found. According to this model it will be worthwhile to invest more effort in measuring the time and space polarization of ciliary beating and times of delay between cilia.     

An electro-optic monitor of the behavior of Chlamydomonas reinhardtii cilia

The unicellular green alga Chlamydomonas reinhardtii steers through water with a pair of cilia (eukaryotic flagella). Long-term observation of the beating of its cilia with controlled stimulation is improving our understanding of how a cell responds to sensory inputs. Here we describe how to record ciliary motion continuously for long periods. We also report experiments on the network of intracellular signaling that connects the environment inputs with response outputs. Local spatial changes in ciliary response on the time scale of the underlying biochemical dynamics are observed. Near-infrared light monitors the cells held by a micropipette. This condition is tolerated well for hours, not interfering with ciliary beating or sensory transduction. A computer integrates the light stimulation of the eye of Chlamydomonas with the ciliary motion making possible long-term correlations. Measures of ciliary responses include the beating frequency, stroke velocity, and stroke duration of each cilium, and the relative phase of the cis and trans cilia. The stationarity and dependence of the system on light intensity was investigated. About 150,000,000 total beat cycles and up to 8 h on one cell have been recorded. Each beat cycle is resolved so that each asynchronous beat is detected. Responses extend only a few hundred milliseconds, but there is a persistence of momentary changes that last much longer. Interestingly, we see a response that is linear with absolute light intensity as well as different kinds of response that are clearly nonlinear, implying two signaling pathways from the cell body to the cilia.     

THE METACHRONAL WAVE OF LATERAL CILIA OF MYTILUS EDULIS

The form of beat of cilia and the structure of the metachronal wave on the lateral gill epithelium of Mytulus edulis have been studied on living material by interference-contrast microscopy and stroboscopic illumination, and compared with the same features in rapid-fixed preparations studied by light microscopy and with the scanning electron microscope. The most striking finding is that the beat of the cilia is not planar, as previously assumed, but involves a sideways movement in the recovery stroke Previous reports on nonplanar ciliary beating from protozoan examples describe a planar effective stroke and a counterclockwise rotation in the recovery stroke; in this molluscan example there is a clockwise rotation in the recovery stroke The lateral inclination of the cilia in the recovery stroke is in the same direction as the propagation of the waves, and the orientation of cilia in the recovery stroke is thought to determine whether the waves move to the left or right of the direction of the effective stroke     

STUDIES ON CILIA : III. Further Studies on the Cilium Tip and a "Sliding Filament" Model of Ciliary Motility

This study confirms and extends previous work on the lateral cilia of the fresh-water mussel, Elliptio complanatus, in support of a "sliding filament" mechanism of ciliary motility wherein peripheral filaments (microtubules) do not change length during beat (see Satir, 1967). Short sequences of serial sections of tips are examined in control (nonbeating) and activated (metachronal wave) preparations. Several different tip types, functional rather than morphogenetic variants, are demonstrated, but similarly bent cilia have similar tips. The peripheral filaments are composed of two subfibers: a and b. The bent regions of cilia are in the form of circular arcs, and apparent differences in subfiber-b length at the tip are those predicted solely by geometry of the stroke without the necessity of assuming filament contraction. Various subfibers b apparently move with respect to one another during beat, since small systematic variations in relative position can be detected from cilium to cilium. While subfiber-b lengths are uniform throughout, subfiber-a lengths are morphologically different for each filament: 8 and 3 are about 0.8 µ longer than 1, 4 and 5, but each unique length is independent of stroke position or tip type. Subfiber-a does not contract, nor does it move, e.g. slide, with respect to subfiber-b of the same doublet. The central pair of filaments extends to the tip of the cilium where its members fuse. Subunit assembly in ciliary microtubules is evidently precise. This may be of importance in establishing the relationships needed for mechanochemical interactions that produce sliding and beat.     

Membrane control of ciliary movement in ciliates

Ciliary movement is generated in the axoneme by the unidirectional sliding of the outer doublets of microtubules produced by the adenosine triphosphate (ATP)-energized dynein arms. It is composed of an effective stroke phase and a passive recovery stroke phase. Two parameters are modulated to determine swimming characteristics of the cell (speed and direction): beat frequency; direction of the effective stroke. They are linked to the internal Ca++ level and to the membrane potential. The membrane governs the internal Ca++ level by regulating Ca++ influx and efflux. It contains voltage-sensitive Ca++ channels through which a passive Ca++ influx, driven by the electrochemical gradient, occurs during step depolarization. The rise of the Ca++ level, up to 6.10-7M triggers ciliary reversal and enhances beat frequency. Ca+ is extruded from cilia by active transport. Ca++ also activates a multistep enzymatic process, the first component of which is a membrane calmodulin-dependent guanylate cyclase. cGMP interacts with Ca++ to modulate the parameters of the ciliary beat. The phosphorylation-dephosphorylation cycle of axoneme and membrane proteins seems to play a major role in controlling ciliary movement. Hyperpolarization of the membrane enhances beat frequency by an unknown mechanism. It could be a modification of the ratio of axonemal bound Ca++ and Mg++, or activation by cyclic adenosine monophosphate (cAMP) produced by a membrane adenylate cyclase. The ciliary membrane behaves as a receptor able to detect modifications of external parameters, and as a transductor transmitting the detected signal by a second or third messengers toward the interior of the cilia. These messengers. acting at different levels, modulate the parameters of the mechanism that generates ciliary movement.     

Sub-second calcium coupling between outside medium and subplasmalemmal stores during overstimulation/depolarisation-induced ciliary beat reversal in Paramecium cells

As amply documented by electrophysiology, depolarisation in Paramecium induces a Ca(2+) influx selectively via ciliary voltage-dependent Ca(2+)-channels, thus inducing ciliary beat reversal. Subsequent downregulation of ciliary Ca(2+) has remained enigmatic. We now analysed this aspect, eventually under overstimulation conditions, by quenched-flow/cryofixation, combined with electron microscope X-ray microanalysis which registers total calcium concentrations, [Ca]. This allows to follow Ca-signals within a time period (> or =30ms) smaller than one ciliary beat ( approximately 50ms) and beyond. Particularly under overstimulation conditions ( approximately 10(-5)M Ca(2+) before, 0.5mM Ca(2+) during stimulation) we find in cilia a [Ca] peak at approximately 80ms and its decay to near-basal levels within 110ms (90%) to 170ms (100% decay). This [Ca] wave is followed, with little delay, by a [Ca] wave into subplasmalemmal Ca-stores (alveolar sacs), culminating at approximately 100ms, with a decay to original levels within 170ms. Also with little delay [Ca] slightly increases in the cytoplasm below. This implies rapid dissipation of Ca(2+) through the ciliary basis, paralleled by a rapid, transient uptake by, and release from cortical stores, suggesting fast exchange mechanisms to be analysed as yet. This novel type of coupling may be relevant for some phenomena described for other cells.     

Control of the ciliary beat by cyclic nucleotides in intact cortical sheets from Paramecium

The locomotor behavior of Paramecium depends on the ciliary beat direction and beat frequency. Changes in the ciliary beat are controlled by a signal transduction mechanism that follows changes in the membrane potential. These events take place in cilia covered with a ciliary membrane. To determine the effects of second messengers in the cilia, cortical sheets were used with intact ciliary membrane as a half-closed system in which each cilium is covered with a ciliary membrane with an opening to the cell body. Cyclic nucleotides and their derivatives applied from an opening to the cell body affected the ciliary beat. cAMP and 8-Br-cAMP increased the beat frequency and the efficiency of propulsion and acted antagonistically to the action of Ca(2+). cGMP and 8-Br-cGMP increased the efficiency of propulsion accompanying clear metachronal waves but decreased the beat frequency. These results indicate that the cyclic nucleotides affect target proteins in the ciliary axonemes surrounded by the ciliary membrane without a membrane potential and increase the efficiency of propulsion of the ciliary beat. In vitro phosphorylation of isolated ciliary axonemes in the presence of cyclic nucleotides and their derivatives revealed that the action of cAMP was correlated with the phosphorylation of 29-kDa and 65-kDa proteins and that the action of cGMP was correlated with the phosphorylation of a 42-kDa protein.     

Calcium regulates independently ciliary beat and cell contraction in Paramecium cells

Intracellular Ca(2+) concentration is a well-known signal regulator for various physiological activities. In many cases, Ca(2+) simultaneously regulates individual functions in single cells. How can Ca(2+) regulate these functions independently? In Paramecium cells, the contractile cytoskeletal network and cilia are located close to each other near the cell surface. Cell body contraction, ciliary reversal, and rises in ciliary beat frequency are regulated by intracellular Ca(2+) concentration. However, they are not always triggered simultaneously. We injected caged calcium into Paramecium caudatum cells and continuously applied weak ultraviolet light to the cells to slowly increase intracellular Ca(2+) concentration. The cell bodies began to contract just after the start of ultraviolet light application, and the degree of contraction increased gradually thereafter. On the other hand, cilia began to reverse 1.4s after the start of ultraviolet application and reversed completely within 100ms. Ciliary beat frequency in the reverse direction was significantly higher than in the normal direction. These results indicate that cell body contraction is regulated by Ca(2+) in a dose-dependent manner in living P. caudatum. On the other hand, ciliary reversal and rise in ciliary beat frequency are triggered by Ca(2+) in an all-or-none manner.     

Rotation and twist of the central-pair microtubules in the cilia of Paramecium

The orientation and configuration of the central-pair microtubules in cilia were studied by serial thin-section analysis of "instantaneously fixed" paramecia. Cilia were frozen in various positions in metachronal waves by such a fixation. The spatial sequence of these positions across the wave represents the temporal sequence of the positions during the active beat cycle of a cilium. Systematic shifts of central- pair orientation across the wave indicate that the central pair rotates 360 degrees counterclockwise (viewed from outside) with each ciliary beat cycle (C. K. Omoto, 1979, Thesis, University of Wisconsin, Madison; C. K. Omoto and C. Kung, 1979, Nature [Lond.] 279:532-534). This is true even for paramecia with different directions of effective stroke as in forward- or backward-swimming cells. The systematic shifts of central-pair orientation cannot be seen in Ni++-paralyzed cells or sluggish mutants which do not have metachronal waves. Both serial thin- section and thick-section high-voltage electron microscopy show that whenever a twist in the central pair is seen, it is always left-handed. This twist is consistent with the hypothesis that the central pair continuously rotates counterclockwise with the rotation originating at the base of the cilium. That the rotation of the central pair is most likely with respect to the peripheral tubules as well as the cell surface is discussed. These results are incorporated into a model in which the central-pair complex is a component in the regulation of the mechanism needed for three-dimensional ciliary movement.     

The role of cortical orientation in the control of the direction of ciliary beat in Paramecium

The swimming behavior of many ciliate protozoans depends on graded changes in the direction of the ciliary effective stroke in response to depolarizing stimuli (i.e., the avoiding reaction of Paramecium). We investigated the problem of whether the directional response of cilia with a variable plane of beat is related to the polarity of the cell as a whole or to the orientation of the cortical structures themselves. To do this, we used a stock of Paramecium aurelia with part of the cortex reversed 180 degrees. We determined the relation of the orientation of the kineties (ciliary rows) to the direction of beat in these mosaic paramecia by cinemicrography of particle movements near living cells and by scanning electron microscopy of instantaneously fixed material. We found that the cilia of the inverted rows always beat in the direction opposite to that of normally oriented cilia during both forward and backward swimming. In addition, metachronal waves of ciliary coordination were present on the inverted patch, travelling in the direction opposite to those on the normal cortex. The reference point for the directional response of Paramecium cilia to stimuli thus resides within the cilia or their immediate cortical surroundings.     

Ciliary beat and cell motility of Dunaliella: computer analysis of high speed microcinematography

A high-speed microcinematographic study was performed on the biflagellate unicellular alga Dunaliella. A frame-by-frame analysis has shown that the two flagella never beat at the same frequency. For a better characterization of the bending pattern of the two flagella, a new automated method of image analysis has been developed. The method allowed an automatic acquisition of a line characterizing the Dunaliella flagellum and its mathematical modelling. From this model, some binding parameters could be automatically measured, which have permitted determination of the velocities of formation and propagation of flagellar waves and the variation of the curvature radius of the bends between the two flagella. Both flagella showed a similar pattern of ciliary beat. The most important difference was the lengthening of the initiation phase for the slower flagella.     

Sperm flagellar motion maintained by ADP

Bull and human sperm which are dissected or impaled retain wave motion in the presence of 10 mM ADP. Unlike ATP-induced motility which must be mechanically initiated, ADP-induced motility requires no initiation. The activity observed appears similar to that of intact cells. Flagellar segments which are detached from the head and middle piece are capable of sustaining coordinated motility. Asymmetric motion resembling a ciliary beat can also be exhibited by free flagellar segments.     

High-speed digital microscopy

High-speed imaging is an ideal technique to accurately resolve the temporal and spatial characteristics of rapid events at either the molecular or cellular level. In this article, the digital imaging techniques used to simultaneously acquire transillumination phase-contrast images, at 240 images s(-1) (high-speed), to characterize ciliary beat frequency, and fluorescence images, at 30 images s(-1) (fast), to measure intracellular calcium concentration ([Ca2+]i), are described. With this technique, a precise correlation between the changes in ciliary beat frequency with changes in [Ca2+]i can be made. Simultaneous imaging is achieved by using different wavelengths of light to form the phase-contrast and fluorescent images and selectively directing these light wavelengths to different cameras with dichroic mirrors and bandpass filters. High-speed images compatible with standard video recording equipment are obtained by prematurely resetting the raster scan of a CCD camera with additional vertical synchronization pulses. The fast [Ca2+]i images are determined using the ratiometric dye fura-2 and a recording technique that monitors rapid changes in fluorescence at a single wavelength and uses intermittent reference images for calibration.     

Laser-induced spreading arrest of Mytilus gill cilia

Using a "slit camera" recording technique, we have examined the effects of local laser irradiation of cilia of the gill epithelium of Mytilus edulis. The laser produces a lesion which interrupts epithelial integrity. In artificial sea water that contains high K+ or is effectively Ca++ free, metachronism of the lateral cilia continues to either side of the lesion with only minor perturbations in frequency synchronization and wave velocity, such as would be expected if metachronal wave coordination is mechanical. However, in normal sea water and other appropriate ionic conditions (i.e., where Ca++ concentration is elevated), in addition to local damage, the laser induces distinct arrest responses of the lateral cilia. Arrest is not mechanically coordinated, since cilia stop in sequence depending on stroke position as well as distance from the lesion. The velocity of arrest under standard conditions is about 3 mm/s, several orders of magnitude faster than spreading velocities associated with diffusion of materials from the injured region. Two responses can be distinguished on the basis of the kinetics of recovery of the arrested regions. These are (a) a nondecremental response that resembles spontaneous ciliary stoppage in the gills, and (b) a decremental response, where arrest nearer the stimulus point is much longer lasting. The slower recovery is often periodic, with a step size approximating lateral cell length. Arrest responses with altered kinetics also occur in laterofrontal cilia. The responses of Mytilus lateral cilia resemble the spreading ciliary arrest seen in Elliptio and arrest induced by electrical and other stimuli, and the decremental response may depend upon electrotonic spread of potential change produced at the stimulus site. If this were coupled to transient changes in Ca++ permeability of the cell membrane, a local rise in Ca++ concentration might inhibit ciliary beat at a sensitive point in the stroke cycle to produce the observed arrest.     

Flagellar and ciliary beating in trypanosome motility

The single flagellum of Leishmania and Trypanosoma parasites is becoming an increasingly attractive model for the analysis of flagellar function-driven largely by the abundance of genomic and proteomic information available for the organelle, the genetic manipulability of the organisms and the importance of motility for the parasite lifecycle. However, as yet, there is a paucity of published data on the beating of any genetically malleable trypanosomatid species. Here we undertook an in-depth analysis using high-speed videomicroscopy of the beating of free-swimming Leishmania major cells in comparison to Crithidia species (for which there is some existing literature). In so doing, we describe a simple and generally-applicable technique to facilitate the quantitative analysis of free-swimming cells. Our analysis thoroughly defines the parameters of the expected tip-to-base symmetrical flagellar beat in these species. It also describes beat initiation from points other than the flagellum tip and a completely different, base-to-tip highly-asymmetric beat that represents a ciliary beat of trypanosomatid flagella. Moreover, detailed analysis of parameter interrelationships revealed an unexpected dependency of wavelength on oscillator length that may be the result of reversible constraint of doublet sliding at the tip or resonance of the flagellar beat.     

Effect of vanadate on gill cilia: Switching mechanism in ciliary beat

Lateral (L) cilia of freshwater mussel (Margaritana margaritifera and Elliptio complanatus) gills can be arrested in one of two unique positions. When treated with 12.5 mM CaCl₂ and 10^?5 M A23187 they arrest in a “hands up” position, ie, pointing frontally. When treated with approximately 10 mM vanadate (V) they arrest in a “hands down” position, ie, pointing abfrontally. L-cilia treated with 12.5 mM CaCl₂ and 1 mM NaN₃ also arrest in a “hands down” position; substitution of 20 mM KC1 and 1 mM NaN₃ causes cilia to move rapidly and simultaneously to a “hands up” position. The observations suggest that there are two switching mechanisms for activation of active sliding in ciliary beat one at the end of the recovery stroke and the other at the end of the effective stroke; the first is inhibited by calcium and the second by vanadate or azide. This is consistent with a model of ciliary beating where microtubule doublet numbers 1, 2, 3, and 4 are active during the effective stroke while microtubule doublets numbers 6, 7, 8, and 9 are passive, and the converse occurs during the recovery stroke.