Flagellar Waveform Research Articles

Study of bovine sperm motility in shear-thinning viscoelastic fluids

To elucidate the process whereby sperm arrive at an egg in the female reproductive organs, it is essential to investigate how rheological properties of the fluid around mammalian spermatozoa affect their motility. We examined the motility and flagellar waveform of bovine sperm swimming in a fluid with similar rheological properties as mammalian cervical mucus. The results indicated that the surrounding rheological properties largely affected the flagellar waveform of mammalian spermatozoa; in particular, shear-thinning viscoelastic fluid increased the progressive motility of the sperm. To investigate the influence of flagellar waveform on sperm motility in more detail, the waveform was expressed as a function and the progressive thrust of the sperm was calculated based on the empirical resistive force theory. The results of this study showed that the progressive thrust increased with the curvature of the flagellar tip. Moreover, we calculated the thrust efficiency of motile sperm. Results showed that the thrust efficiency in shear-thinning viscoelastic fluids was larger than that in Newtonian fluids, regardless of viscosity. This suggests that motile sperm in cervical mucus move efficiently by means of a motion mechanism that is suited to their surrounding environment.

Flagellar ultrastructure suppresses buckling instabilities and enables mammalian sperm navigation in high-viscosity media.

Eukaryotic flagellar swimming is driven by a slender motile unit, the axoneme, which possesses an internal structure that is essentially conserved in a tremendous diversity of sperm. Mammalian sperm, however, which are internal fertilizers, also exhibit distinctive accessory structures that further dress the axoneme and alter its mechanical response. This raises the following two fundamental questions. What is the functional significance of these structures? How do they affect the flagellar waveform and ultimately cell swimming? Hence we build on previous work to develop a mathematical mechanical model of a virtual human sperm to examine the impact of mammalian sperm accessory structures on flagellar dynamics and motility. Our findings demonstrate that the accessory structures reinforce the flagellum, preventing waveform compression and symmetry-breaking buckling instabilities when the viscosity of the surrounding medium is increased. This is in agreement with previous observations of internal and external fertilizers, such as human and sea urchin spermatozoa. In turn, possession of accessory structures entails that the progressive motion during a flagellar beat cycle can be enhanced as viscosity is increased within physiological bounds. Hence the flagella of internal fertilizers, complete with accessory structures, are predicted to be advantageous in viscous physiological media compared with watery media for the fundamental role of delivering a genetic payload to the egg.

Ca2+ efflux via plasma membrane Ca2+-ATPase mediates chemotaxis in ascidian sperm

When a spermatozoon shows chemotactic behavior, transient [Ca2+]i increases in the spermatozoon are induced by an attractant gradient. The [Ca2+]i increase triggers a series of stereotypic responses of flagellar waveforms that comprise turning and straight-swimming. However, the molecular mechanism of [Ca2+]i modulation controlled by the attractants is not well defined. Here, we examined receptive mechanisms for the sperm attractant, SAAF, in the ascidian, Ciona intestinalis, and identified a plasma membrane Ca2+-ATPase (PMCA) as a SAAF-binding protein. PMCA is localized in sperm flagella membranes and seems to interact with SAAF through basic amino acids located in the second and third extracellular loops. ATPase activity of PMCA was enhanced by SAAF, and PMCA inhibitors, 5(6)-Carboxyeosin diacetate and Caloxin 2A1, inhibited chemotactic behavior of the sperm. Furthermore, Caloxin 2A1 seemed to inhibit efflux of [Ca2+]i in the sperm, and SAAF seemed to competitively reduce the effect of Caloxin 2A1. On the other hand, chemotactic behavior of the sperm was disordered not only at low-Ca2+, but also at high-Ca2+ conditions. Thus, PMCA is a potent candidate for the SAAF receptor, and direct control of Ca2+ efflux via PMCA is a fundamental mechanism to mediate chemotactic behavior in the ascidian spermatozoa.

Effect of inhibition of axonemal dynein ATPases on the regulation of flagellar and ciliary waveforms in Leishmania parasites

Trypanosomes of the genus Leishmania swim by undulating motions of a single flagellum driven by axonemal dynein ATPases, essential for parasite survival and infectivity. The flagellum possesses two waveforms; flagellar (tip-to-base) responsible for forward movements and ciliary (base-to-tip) possibly responsible for reorientation in response to changes in surroundings. However, the role of dyneins in regulating the two waveforms remains unknown. Moreover, the unpredictable nature of the parasite ciliary waveform makes it difficult to study. We have previously reported a detergent-extracted, ATP-reactivated model ideal for investigating flagellar motility regulation in Leishmania that allows one to generate reactivated Leishmania flagella with constitutively beating ciliary waves in presence of cyclic-AMP. Here, using three dynein inhibitors [erythro-9-(2-hydroxy-3-nonyl) adenine, ciliobrevin A and vanadate] we investigated the role of dyneins in regulating the two waveforms of Leishmania. Using high speed videomicroscopy we observed differential inhibition of beat frequencies and waveforms of flagellar and ciliary beats in live (in vivo) and ATP-reactivated (in vitro) parasites. Beat frequency of flagellar waveform was more strongly reduced than ciliary waveform. Surprisingly, inhibition of the ciliary waveform led to an altered phenotype with the distal half of the flagellum paralysed. ATPase assays confirmed that dynein activity of flagellar cells was more strongly inhibited compared to ciliary cells irrespective of the mechanism of inhibition. Possibly the two different waveforms are an outcome of changes in the mechanical properties of axonemal dyneins present at the tip of the flagellum that contains a sliding resistive structure. Our study suggests that dyneins responsible for the two waveforms in Leishmania bear different structural and functional conformations. Moreover, during ciliary beating, there is heterogeneity along the flagellum.

Vertebrate Dynein-f depends on Wdr78 for axonemal localization and is essential for ciliary beat.

Motile cilia and flagella are microtubule-based organelles important for cell locomotion and extracellular liquid flow through beating. Although axonenal dyneins that drive ciliary beat have been extensively studied in unicellular Chlamydomonas, to what extent such knowledge can be applied to vertebrate is poorly known. In Chlamydomonas, Dynein-f controls flagellar waveforms but is dispensable for beating. The flagellar assembly of its heavy chains (HCs) requires its intermediate chain (IC) IC140 but not IC138. Here we show that, unlike its Chlamydomonas counterpart, vertebrate Dynein-f is essential for ciliary beat. We confirmed that Wdr78 is the vertebrate orthologue of IC138. Wdr78 associated with Dynein-f subunits such as Dnah2 (a HC) and Wdr63 (IC140 orthologue). It was expressed as a motile cilium-specific protein in mammalian cells. Depletion of Wdr78 or Dnah2 by RNAi paralyzed mouse ependymal cilia. Zebrafish Wdr78 morphants displayed ciliopathy-related phenotypes, such as curved bodies, hydrocephalus, abnormal otolith, randomized left–right asymmetry, and pronephric cysts, accompanied with paralyzed pronephric cilia. Furthermore, all the HCs and ICs of Dynein-f failed to localize in the Wdr78-depleted mouse ependymal cilia. Therefore, both the functions and subunit dependency of Dynein-f are altered in evolution, probably to comply with ciliary roles in higher organisms.

Four-dimensional analysis by high-speed holographic imaging reveals a chiral memory of sperm flagella.

Here high-speed Digital Holographic Microscopy (DHM) records sperm flagellar waveforms and swimming paths in 4 dimensions (X, Z, and t). We find flagellar excursions into the Z-plane nearly as large as the envelope of the flagellar waveform projected onto the XY-plane. These Z-plane excursions travel as waves down the flagellum each beat cycle. DHM also tracks the heads of free-swimming sperm and the dynamics and chirality of rolling of sperm around their long axis. We find that mouse sperm roll CW at the maximum positive Z-plane excursion of the head, then roll CCW at the subsequent maximum negative Z-plane excursion. This alternating chirality of rolling indicates sperm have a chiral memory. Procrustes alignments of path trajectories for sequences of roll-counterroll cycles show that path chirality is always CW for the cells analyzed in this study. Human and bull sperm lack distinguishable left and right surfaces, but DHM still indicates coordination of Z-plane excursions and rolling events. We propose that sperm have a chiral memory that resides in a hypothetical elastic linkage within the flagellar machinery, which stores some of the torque required for a CW or CCW roll to reuse in the following counter-roll. Separate mechanisms control path chirality.

Microscopic analysis of sperm movement: links to mechanisms and protein components.

Cilia and flagella are cell machines that power hydrodynamic forces by fast beating. They are composed of bundles of 9 + 2 microtubules that associate with several protein structures including axonemal dyneins and their regulators. Spermatozoa are single cells with in most cases a single flagellum and are good cell models to study how flagellar movements are regulated and linked to cell behavior. In addition, the assessment of sperm motility is an important diagnostic tool for evaluating male fertility in human reproductive medicine, and in livestock and fisheries sciences. Microscopic analyses of the movements of spermatozoa and their flagellar waveforms and propagation have been carried out using high-speed cameras and stroboscopic illumination. Computer-assisted sperm analysis (CASA) now comprises an automated set of methods to evaluate sperm quality for fertility. Here, we summarize the microscopy systems used for evaluating sperm motility, including CASA, and introduce updates on the molecular mechanism of flagellar movement and regulation that are linked to motility parameters. Furthermore, we introduce recent techniques employed to measure key factors controlling sperm motility.

Frequency and Curvature of the Flagellar Waveform of Chlamydomonas Reinhardtii are Stable during Regrowth

Cilia and flagella are highly conserved organelles that generate propulsive, oscillatory waveforms that propel cells or move fluids. The mechanism of oscillation is a mystery; to distinguish competing models we studied the effects of regrowth on frequency and waveform in the alga Chlamydomonas reinhardtii using high-speed video-microscopy with bright field optics. Wild-type uniflagellate mutant Chlamydomonas cells were deflagellated by pH shock. Using a method described previously [Bayly et al. Cytoskeleton, 2010] we obtained high-resolution, quantitative descriptions of the waveform at different lengths. We recorded 97 videos of beating flagella that varied from 0.7 to 10.9 µm. Videos were recorded at 2000 frames/s with 169 nm spatial resolution. We discovered that the beat frequency is reduced for flagella < 4 µm but oscillates around 60 Hz (60.2 ± 20.7 Hz) when flagella are longer than 4 µm. The average curvature is small and variable in flagella < 4 µm, and reaches a plateau at −0.20 ± 0.08 rad/µm for flagella > 4 µm. Other quantities such as beat amplitude, mean total angle, torque, power, and average force applied by the flagellum on the fluid in both the x and y directions, all increase with flagellar length. These results indicate that frequency and curvature are important conserved features of the flagellar waveform during regrowth. Because the average curvature is consistent, the total bend angle increases with flagellar length (waveforms of small flagella are not scaled versions of the waveform of longer flagella). These results suggest that the local mechanics of the axoneme are stable in flagella > 4 µm and that changes in flagella length alone can explain qualitative changes in the waveform shape.

CASA: tracking the past and plotting the future.

The human semen sample carries a wealth of information of varying degrees of accessibility ranging from the traditional visual measures of count and motility to those that need a more computational approach, such as tracking the flagellar waveform. Although computer-aided sperm analysis (CASA) options are becoming more widespread, the gold standard for clinical semen analysis requires trained laboratory staff. In this review we characterise the key attitudes towards the use of CASA and set out areas in which CASA should, and should not, be used and improved. We provide an overview of the current CASA landscape, discussing clinical uses as well as potential areas for the clinical translation of existing research technologies. Finally, we discuss where we see potential for the future of CASA, and how the integration of mathematical modelling and new technologies, such as automated flagellar tracking, may open new doors in clinical semen analysis.

Human sperm steer with second harmonics of the flagellar beat

Sperm are propelled by bending waves traveling along their flagellum. For steering in gradients of sensory cues, sperm adjust the flagellar waveform. Symmetric and asymmetric waveforms result in straight and curved swimming paths, respectively. Two mechanisms causing spatially asymmetric waveforms have been proposed: an average flagellar curvature and buckling. We image flagella of human sperm tethered with the head to a surface. The waveform is characterized by a fundamental beat frequency and its second harmonic. The superposition of harmonics breaks the beat symmetry temporally rather than spatially. As a result, sperm rotate around the tethering point. The rotation velocity is determined by the second-harmonic amplitude and phase. Stimulation with the female sex hormone progesterone enhances the second-harmonic contribution and, thereby, modulates sperm rotation. Higher beat frequency components exist in other flagellated cells; therefore, this steering mechanism might be widespread and could inspire the design of synthetic microswimmers.

In-phase and anti-phase flagellar synchronization by waveform compliance and basal coupling

We present a theory of flagellar synchronization in the green alga Chlamydomonas, using full treatment of flagellar hydrodynamics and measured beat patterns. We find that two recently proposed synchronization mechanisms, flagellar waveform compliance and basal coupling, stabilize anti-phase synchronization (AP) if operative in isolation. Their nonlinear superposition, however, can stabilize in-phase synchronization (IP) for suitable parameter choices, matching experimental observations. Our theory is based on a description of the flagellar beat as a limit-cycle oscillator, which was introduced and calibrated by experimental data in a recent letter (Klindt et al 2016 Phys. Rev. Lett. 117 258101). Using a minimal model of basal coupling, we identify regimes of IP, AP and even out-of-phase synchronization with spontaneous symmetry-breaking in this system of two identical coupled oscillators as a function of an effective strength of basal coupling. From our theory, we quantitatively predict different synchronization dynamics in fluids of increased viscosity or external flow, suggesting a non-invasive way to control synchronization by hydrodynamic coupling.

A coordinated sequence of distinct flagellar waveforms enables a sharp flagellar turn mediated by squid sperm pH-taxis

Animal spermatozoa navigate by sensing ambient chemicals to reach the site of fertilization. Generally, such chemicals derive from the female reproductive organs or cells. Exceptionally, squid spermatozoa mutually release and perceive carbon dioxide to form clusters after ejaculation. We previously identified the pH-taxis by which each spermatozoon can execute a sharp turn, but how flagellar dynamics enable this movement remains unknown. Here, we show that initiation of the turn motion requires a swim down a steep proton gradient (a theoretical estimation of ≥0.025 pH/s), crossing a threshold pH value of ~5.5. Time-resolved kinematic analysis revealed that the turn sequence results from the rhythmic exercise of two flagellar motions: a stereotypical flagellar ‘bent-cane’ shape followed by asymmetric wave propagation, which enables a sharp turn in the realm of low Reynolds numbers. This turning episode is terminated by an ‘overshoot’ trajectory that differs from either straight-line motility or turning. As with bidirectional pH-taxes in some bacteria, squid spermatozoa also showed repulsion from strong acid conditions with similar flagellar kinematics as in positive pH-taxis. These findings indicate that squid spermatozoa might have a unique reorientation mechanism, which could be dissimilar to that of classical egg-guided sperm chemotaxis in other marine invertebrates.

Role of calmodulin and calcineurin in regulating flagellar motility and wave polarity in Leishmania.

We have previously reported the involvement of cyclic AMP in regulating flagellar waveforms in Leishmania. Here, we investigated the roles of calcium, calmodulin, and calcineurin in flagellar motility regulation in L. donovani. Using high-speed videomicroscopy, we show that calcium-independent calmodulin and calcineurin activity is necessary for motility in Leishmania. Inhibition of calmodulin and calcineurin induced ciliary beats interrupting flagellar beating in both live (in vivo) and ATP-reactivated (in vitro) parasites. Our results indicate that signaling mediated by calmodulin and calcineurin operates antagonistically to cAMP signaling in regulating the waveforms of Leishmania flagellum. These two pathways are possibly involved in maintaining the balance between the two waveforms, essential for responding to environmental cues, survival, and infectivity.

A familial study of twins with severe asthenozoospermia identified a homozygous SPAG17 mutation by whole-exome sequencing.

Asthenozoospermia (AZS) is a common cause of male infertility, characterized by abnormal reduction in the motility of ejaculated spermatozoa. Here, in a patient from a consanguineous family, we identified a homozygous mutation (c.G4343A, p.R1448Q) in SPAG17 by whole-exome sequencing. The encoded protein, SPAG17, localizes to the axonemal central apparatus and is considered essential for flagellar waveform. In silico analysis revealed that R1448Q is a potential pathogenic mutation. Immunostaining and western blot assays showed that the R1448Q mutation may exert a negative effect on the steady-state of the SPAG17 protein. Therefore, SPAG17 may be a new pathogenic gene causing AZS.

Inverse relationship of Ca2+-dependent flagellar response between animal sperm and prasinophyte algae.

Symmetry/asymmetry conversion of eukaryotic flagellar waveform is caused by the changes in intracellular Ca2+. Animal sperm flagella show symmetric or asymmetric waveform at lower or higher concentration of intracellular Ca2+, respectively. In Chlamydomonas, high Ca2+ induces conversion of flagellar waveform from asymmetric to symmetry, resulting in the backward movement. This mirror image relationship between animal sperm and Chlamydomonas could be explained by the distinct calcium sensors used to regulate the outer arm dyneins (Inaba 2015). Here we analyze the flagellar Ca2+-response of the prasinophyte Pterosperma cristatum, which shows backward movement by undulating four flagella, the appearance similar to animal sperm. The moving path of Pterosperma shows relatively straight in artificial seawater (ASW) or ASW in the presence of a Ca2+ ionophore A23187, whereas it becomes circular in a low Ca2+ solution. Analysis of flagellar waveform reveals symmetric or asymmetric waveform propagation in ASW or a low Ca2+ solution, respectively. These patterns of flagellar responses are completely opposite to those in sperm flagella of the sea urchin Anthocidaris crassispina, supporting the idea previously proposed that the difference in flagellar response to Ca2+ attributes to the evolutional innovation of calcium sensors of outer arm dynein in opisthokont or bikont lineage.

Characterization of ciliobrevin A mediated dynein ATPase inhibition on flagellar motility of Leishmania donovani

Axonemal dyneins are members of AAA+ proteins involved in force generation and are responsible for flagellar motility in eukaryotes. In this study, we characterized the effects of ciliobrevin A (CbA), a dynein ATPase inhibitor, on flagella driven motility of the protozoan parasite Leishmania donovani. Using fast–capture video microscopy, we observed that CbA decreased flagellar beat frequency of swimming parasites in a concentration-dependent manner. Beat frequency of live and reactivated L. donovani decreased by approximately 89% and 41% respectively in the presence of 250μM CbA. This inhibition was lost when CbA was removed, suggesting its effects were reversible. CbA also altered wavelength and amplitude of the flagellum of live parasites. Waveform analysis of live and reactivated L. donovani revealed that CbA significantly affected flagellar waveform by inducing non-uniform bends with the flagellum beating away from the cell axis. These results suggest that CbA sensitive dynein ATPases possibly are responsible for power generation and waveform maintenance of the flagellum of L. donovani. This ability to inhibit axonemal dyneins also emphasizes the use of dynein inhibitors as valuable tools in studying functional roles of axonemal dyneins of flagellated eukaryotes.

The Flagella Beat of Chlamydomonas Has Distinctly Regulated Static and Dynamic Components, which Accord with Curvature Controlled Dynein Activity

The axoneme, the mechanical core of eukaryotic cilia and flagella, is a huge macromolecular assembly of microtubules, cross-links and dynein motors. The coordinated activity of the dyneins produces a diversity of flagellar waveforms that drive fluid flows across tissue surfaces or propel micro-swimmers. While it is believed that the flagellar beat is a result of feedback - based on the ability of motors to produce and sense forces - the mechanism by which motors are controlled remains unknown.To elucidate how molecular motors are involved in the generation of flagellar waveforms, we studied the beat of axonemes isolated from Chlamydomonas reinhardtii, a single cell green alga. Chlamydomonas flagella can exhibit both of the most common waveforms found in nature: the asymmetrical breaststroke-like beat as well as the symmetrical sperm-like beat.Using high speed microscopy and image analysis we precisely determine axonemal shapes in space and time. A characterization of the waveform properties at different ATP concentrations shows that the static asymmetry of the breaststroke - which has an approximately circular shape - can be separated from the dynamic beat component. This analysis reveals that the breaststroke can essentially be viewed as a sperm-like beat traveling around a circular shape and allows us to examine both waveform components independently.By comparing the dynamic component of experimentally measured waveforms to a mechanical model of the axoneme, we found that the shapes were consistent with a model in which dynein motors respond to changes in axonemal curvature. We furthermore show that the static asymmetric shape underlying the beat could also result from curvature controlled dynein activity.Together our findings present novel insights into how molecular motors shape the asymmetric waveform of Chlamydomonas flagella.

IFT57 stabilizes the assembled intraflagellar transport complex and mediates transport of motility-related flagellar cargo.

Intraflagellar transport (IFT) is essential for the assembly and maintenance of flagella and cilia. Recent biochemical studies have shown that IFT complex B (IFT-B) is comprised of two subcomplexes, IFT-B1 and IFT-B2. The IFT-B2 subunit IFT57 lies at the interface between IFT-B1 and IFT-B2. Here, using a Chlamydomonasreinhardtii mutant for IFT57, we tested whether IFT57 is required for IFT-B complex assembly by bridging IFT-B1 and IFT-B2 together. In the ift57-1 mutant, levels of IFT57 and other IFT-B proteins were greatly reduced at the whole-cell level. However, strikingly, in the protease-free flagellar compartment, while the level of IFT57 was reduced, the levels of other IFT particle proteins were not concomitantly reduced but were present at the wild-type level. The IFT movement of the IFT57-deficient IFT particles was also unchanged. Moreover, IFT57 depletion disrupted the flagellar waveform, leading to cell swimming defects. Analysis of the mutant flagellar protein composition showed that certain axonemal proteins were altered. Taken together, these findings suggest that IFT57 does not play an essential structural role in the IFT particle complex but rather functions to prevent it from degradation. Additionally, IFT57 is involved in transporting specific motility-related proteins.

Reactivation of flagellar motility in demembranated Leishmania reveals role of cAMP in flagellar wave reversal to ciliary waveform.

The flagellum of parasitic trypanosomes is a multifunctional appendage essential for its viability and infectivity. However, the biological mechanisms that make the flagellum so dynamic remains unexplored. No method is available to access and induce axonemal motility at will to decipher motility regulation in trypanosomes. For the first time we report the development of a detergent-extracted/demembranated ATP-reactivated model for studying flagellar motility in Leishmania. Flagellar beat parameters of reactivated parasites were similar to live ones. Using this model we discovered that cAMP (both exogenous and endogenous) induced flagellar wave reversal to a ciliary waveform in reactivated parasites via cAMP-dependent protein kinase A. The effect was reversible and highly specific. Such an effect of cAMP on the flagellar waveform has never been observed before in any organism. Flagellar wave reversal allows parasites to change direction of swimming. Our findings suggest a possible cAMP-dependent mechanism by which Leishmania responds to its surrounding microenvironment, necessary for its survival. Our demembranated-reactivated model not only serves as an important tool for functional studies of flagellated eukaryotic parasites but has the potential to understand ciliary motility regulation with possible implication on human ciliopathies.

Mechanical tuning of mammalian sperm behaviour by hyperactivation, rheology and substrate adhesion: a numerical exploration.

The great mammalian sperm race encounters numerous microenvironments to which sperm must adapt and a fundamental sperm response is the change in its waveform owing to both fluid rheology and capacitation, with the latter associated with a hyperactivated beat pattern. Hence, in this modelling study, we examine the effect of different flagellar waveforms for sperm behaviour near adhesive substrates, which are representative of epithelia in female tract sperm reservoirs and the zona pellucida (ZP), which surrounds the mammalian egg. On contact with an adhesive surface, virtual sperm rotate to become nearly tangential with the surface, as generally observed. Hyperactivation also induces many effects: sperm exert greater forces on the substrate and periodically tug way from adhesions under circumstances reflecting binding at sperm reservoirs, but with extensive fluid elasticity, as found in the cumulus surrounding the ZP, sperm instead continually push into the substrate. Furthermore, with weak adhesion, rheological media increase the duration hyperactivated sperm remain in the proximity of a substrate. More generally, such results predict that changes owing to both hyperactivation of the flagellar waveform and the rheology of the surrounding medium provide a means of tuning sperm behaviour near, or attached to, adhesive substrates.