A mechanistic model for Ncd directionality

Ncd is a kinesin-related protein that drives movement to the minus-end of microtubules. Pre-steady-state kinetic experiments have been employed to investigate the cooperative interactions between the motor domains of the MC1 dimer and to establish the ATPase mechanism. Our results indicate that the active sites of dimeric Ncd free in solution are not equivalent; ADP is held more tightly at one site than at the other. Upon microtubule binding, fast release of ADP from the first motor domain is stimulated at 18 s(-1), yet rate-limiting ADP release from the second motor domain occurs at 1.4 s(-1). We propose that the head with the low affinity for ADP binds the microtubule first to establish the directional bias of the microtubule.Ncd intermediate where one motor domain is bound to the microtubule with the second head detached and directed toward the minus-end of the microtubule. The force generating cycle is initiated as ATP binds to the empty site of the microtubule-bound head. ATP hydrolysis at head 1 is required for head 2 to bind to the microtubule. The kinetics indicate that two ATP molecules are required for a single step and force generation for minus-end directed movement generated by this non-processive dimeric motor.     

Moving a microtubule may require two heads: a kinetic investigation of monomeric Ncd

Ncd is a minus-end-directed microtubule motor and a member of the kinesin superfamily. The Ncd dimer contains two motor domains, and cooperative interactions between the heads influence the interactions of each respective motor domain with the microtubule. The approach we have taken to understand the cooperativity between the two motor domains is to analyze the ATPase cycle of dimeric MC1 and monomeric MC6. The steps in the ATPase cycle where cooperativity occurs can be identified by comparing the two mechanisms. The rate-limiting step in the MC6 mechanism is ADP release at 3.4 s(-)(1). The observed rate constant for ATP-induced dissociation from the microtubule is 14 s(-)(1). However, the relative amplitude associated with MC6 dissociation is extremely small in comparison to the amplitude associated with dimeric MC1 dissociation kinetics. The amplitude data indicate that monomeric MC6 does not detach from the microtubule during the initial turnovers of ATP, and ATP hydrolysis is uncoupled from movement. The results show that cooperative interactions between the motor domains of the dimer are required for ATP-dependent dissociation; therefore, one function of the partner motor domain may be to weaken the interaction of the adjacent head with the microtubule.     

Kinetic studies of dimeric Ncd: evidence that Ncd is not processive

Ncd is a kinesin-related motor protein which drives movement to the minus-end of microtubules. The kinetics of Ncd were investigated using the dimeric construct MC1 (Leu(209)-Lys(700)) expressed in Escherichia coli strain BL21(DE) as a nonfusion protein [Chandra, R., Salmon, E. D., Erickson, H. P., Lockhart, A., and Endow, S. A. (1993) J. Biol. Chem. 268, 9005-9013]. Acid chemical quench flow methods were used to measure directly the rate of ATP hydrolysis, and stopped-flow kinetic methods were used to determine the kinetics of mantATP binding, mantADP release, dissociation of MC1 from the microtubule, and binding of MC1 to the microtubule. The results define a minimal kinetic mechanism, M.N + ATP M.N.ATP M.N.ADP.P N. ADP.P N.ADP + P M.N.ADP M.N + ADP, where N, M, and P represent Ncd, microtubules, and inorganic phosphate respectively, with k(+1) = 2.3 microM(-1) s(-1), k(+2) =23 s(-1), k(+3) =13 s(-1), k(+5)= 0.7 microM(-)(1) s(-)(1), and k(+6) = 3.7 s(-)(1). Phosphate release (k(+4)) was not measured directly although it is assumed to be fast relative to ADP release because Ncd is purified with ADP tightly bound at the active site. ATP hydrolysis occurs at 23 s(-)(1) prior to Ncd dissociation at 13 s(-)(1). The pathway for ATP-promoted detachment (steps 1-3) of Ncd from the microtubule is comparable to kinesin's. However, there are two major differences between the mechanisms of Ncd and kinesin. In contrast to kinesin, mantADP release for Ncd at 3.7 s(-)(1) is the slowest step in the pathway and is believed to limit steady-state turnover. Additionally, the burst amplitude observed in the pre-steady-state acid quench experiments is stoichiometric, indicating that Ncd, in contrast to kinesin, is not processive for ATP hydrolysis.     

Structural comparison of dimeric Eg5, Neurospora kinesin (Nkin) and Ncd head-Nkin neck chimera with conventional kinesin

Cryo-electron microscopy and 3D image reconstruction of microtubules saturated with kinesin dimers has shown one head bound to tubulin, the other free. The free head of rat kinesin sits on the top right of the bound head (with the microtubule oriented plus-end upwards) in the presence of 5'-adenylylimido-diphosphate (AMPPNP) and on the top left in nucleotide-free solutions. To understand the relevance of this movement, we investigated other dimeric plus-end-directed motors: Neurospora kinesin (Nkin); Eg5, a slow non-processive kinesin; and a chimera of Ncd heads attached to Nkin necks. In the AMPPNP (ATP-like) state, all dimers have the free head to the top right. In the absence of nucleotide, the free head of an Nkin dimer appears to occupy alternative positions to either side of the bound head. Despite having the Nkin neck, the free head of the chimera was only seen to the top right of the bound head. Eg5 also has the free head mostly to the top right. We suggest that processive movement may require kinesins to move their heads in alternative ways.     

Kinetics processivity and the direction of motion of Ncd.

The kinetic mechanism of the nonclaret disjunctional protein (Ncd) motor was investigated using the dimer termed MC1 (residues 209-700), which has been shown to exhibit negative-end directed motility (Chandra et al., 1993). The kinetic properties are similar to those of the monomeric Ncd motor domain (Pechatnikova and Taylor, 1997). The maximum steady-state ATPase activity of 1.5 s(-1) is half as large as for the monomeric motor. Dissociation constants in the presence of nucleotides showed the same trend but with approximately a two-fold decrease in the values: K(d) values are 1.0 microM for ADP-AlF(4), 1.1 microM for ATPgammaS, 1.5 microM for ATP, 3 microM for ADP, and 10 microM for ADP-vanadate (in 25 mM NaCl, 22 degrees C). The apparent second-order rate constants for the binding of ATP and ADP to the microtubule-motor complex (MtMC1) are 2 microM(-1) s(-1). Based on measurements at high microtubule concentrations the kinetic steps were fitted to the scheme,[see text] where N refers to one head of the dimer and T, D, and P stand for ATP, ADP, and inorganic phosphate. k(1) and k(-4) are the first-order rate constants of the transition induced by the binding of mant ATP and mant ADP respectively. ADP release is the main rate-limiting step in the MtMC1 mechanism. The binding of the MC1-mant ADP complex to microtubules released less than half of the mant ADP (alternating site reactivity). The second mant ADP is only released by the binding of nucleotides that dissociate the MtMC1 complex (ATP and ADP but not AMPPNP). The apparent rate constant for dissociation of the second mant ADP is four times smaller than the first and much smaller than the rate of dissociation of MtMC1 by ATP or ADP. These results are explained by a model in which MC1.ADP is first dissociated from the microtubule by ATP, followed by rebinding to the microtubule by the ADP-containing head. Ncd may follow a different reaction pathway than does kinesin, but the differences in rate constants do not explain the opposite direction of motion. The kinetic evidence and the high ratio of motile velocity to ATPase support a nonprocessive, low duty cycle mechanism for the Ncd motor.     

Interactions between Subunits in Heterodimeric Ncd Molecules

The nonprocessive minus-end-directed kinesin-14 Ncd is involved in the organization of the microtubule (MT) network during mitosis. Only one of the two motor domains is involved in the interaction with the MT. The other head is tethered to the bound one. Here we prepared, purified, and characterized mutated Ncd molecules carrying point mutations in one of the heads, thus producing heterodimeric motors. The mutations tested included substitutions in Switch I and II: R552A, E585A, and E585D; the decoupling mutant N600K; and a deletion in the motor domain in one of the subunits resulting in a single-headed molecule (NcN). These proteins were isolated by two sequential affinity chromatography steps, followed by measurements of their affinities to MT, enzymatic properties, and the velocity of the microtubule gliding test in vitro. A striking observation is a low affinity of the single-headed NcN for MT both without nucleotides and in the presence of 5′-adenylyl-β,γ-imidodiphosphate, implying that the tethered head has a profound effect on the structure of the Ncd-MT complex. Mutated homodimers had no MT-activated ATPase and no motility, whereas NcN had motility comparable with that of the wild type Ncd. Although the heterodimers had one fully active and one inactive head, the ATPase and motility of Ncd heterodimers varied dramatically, clearly demonstrating that interactions between motor domains exist in Ncd. We also show that the bulk property of dimeric proteins that interact with the filament with only one of its heads depends also on the distribution of the filament-interacting subunits.     

Sliding distance per ATP molecule hydrolyzed by myosin heads during isotonic shortening of skinned muscle fibers.

We measured isotonic sliding distance of single skinned fibers from rabbit psoas muscle when known and limited amounts of ATP were made available to the contractile apparatus. The fibers were immersed in paraffin oil at 20 degrees C, and laser pulse photolysis of caged ATP within the fiber initiated the contraction. The amount of ATP released was measured by photolyzing 3H-ATP within fibers, separating the reaction products by high-pressure liquid chromatography, and then counting the effluent peaks by liquid scintillation. The fiber stiffness was monitored to estimate the proportion of thick and thin filament sites interacting during filament sliding. The interaction distance, Di, defined as the sliding distance while a myosin head interacts with actin in the thin filament per ATP molecule hydrolyzed, was estimated from the shortening distance, the number of ATP molecules hydrolyzed by the myosin heads, and the stiffness. Di increased from 11 to 60 nm as the isotonic tension was reduced from 80% to 6% of the isometric tension. Velocity and Di increased with the concentration of ATP available. As isotonic load was increased, the interaction distance decreased linearly with decrease of the shortening velocity and extrapolated to 8 nm at zero velocity. Extrapolation of the relationship between Di and velocity to saturating ATP concentration suggests that Di reaches 100-190 nm at high shortening velocity. The interaction distance corresponds to the sliding distance while cross-bridges are producing positive (working) force plus the distance while they are dragging (producing negative forces). The results indicate that the working and drag distances increase as the velocity increases. Because Di is larger than the size of either the myosin head or the actin monomer, the results suggest that for each ATPase cycle, a myosin head interacts mechanically with several actin monomers either while working or while producing drag.     

The Origin of Minus-end Directionality and Mechanochemistry of Ncd Motors

Adaptation of molecular structure to the ligand chemistry and interaction with the cytoskeletal filament are key to understanding the mechanochemistry of molecular motors. Despite the striking structural similarity with kinesin-1, which moves towards plus-end, Ncd motors exhibit minus-end directionality on microtubules (MTs). Here, by employing a structure-based model of protein folding, we show that a simple repositioning of the neck-helix makes the dynamics of Ncd non-processive and minus-end directed as opposed to kinesin-1. Our computational model shows that Ncd in solution can have both symmetric and asymmetric conformations with disparate ADP binding affinity, also revealing that there is a strong correlation between distortion of motor head and decrease in ADP binding affinity in the asymmetric state. The nucleotide (NT) free-ADP (φ-ADP) state bound to MTs favors the symmetric conformation whose coiled-coil stalk points to the plus-end. Upon ATP binding, an enhanced flexibility near the head-neck junction region, which we have identified as the important structural element for directional motility, leads to reorienting the coiled-coil stalk towards the minus-end by stabilizing the asymmetric conformation. The minus-end directionality of the Ncd motor is a remarkable example that demonstrates how motor proteins in the kinesin superfamily diversify their functions by simply rearranging the structural elements peripheral to the catalytic motor head domain.     

The C-terminus of kinesin-14 Ncd is a crucial component of the force generating mechanism

Ncd, a member of kinesin-14 family motors, uses the power stroke, a lever-like pivoting action of a long and stiff element, to exert force and generate movement. To better understand the role of the Ncd C-terminus in this process we produced four Ncd mutants in which this segment was altered or deleted. For these proteins we measured their affinity to the microtubule, steady-state ATPase and gliding velocity in multiple motor assays. The mutations had a dramatic effect on all three parameters measured, suggesting that the C-terminal residues of Ncd play an important role in modulating the interaction of the motor with the microtubule.     

Patterning in hydra cell aggregates without the sorting of cells from different axial origins.

Aggregates of Hydra cells were studied to find out how the primary centers that form new heads are generated in a system of cells in which the original pattern has been destroyed. Since cells that originate near the heads (apical cells) temporarily maintain a high level of head activation potential during aggregate formation and may contribute to pattern formation, their distribution in the aggregates was investigated. The mutual distances between labeled epithelial cells were followed by vitally staining apical cells with DAPI. The distribution was random during early regeneration stages (3, 6, 24 hr). These results show that epithelial cells originating from apical regions do not sort. That is, dynamic cell movement to generate rudiments of new heads is not necessary for head formation in aggregates. A possible explanation of the mechanism is discussed.     

Microscopic evidence for a minus-end-directed power stroke in the kinesin motor ncd

We used cryo-electron microscopy and image reconstruction to investigate the structure and microtubule-binding configurations of dimeric non-claret disjunctional (ncd) motor domains under various nucleotide conditions, and applied molecular docking using ncd's dimeric X-ray structure to generate a mechanistic model for force transduction. To visualize the alpha-helical coiled-coil neck better, we engineered an SH3 domain to the N-terminal end of our ncd construct (296-700). Ncd exhibits strikingly different nucleotide-dependent three-dimensional conformations and microtubule-binding patterns from those of conventional kinesin. In the absence of nucleotide, the neck adapts a configuration close to that found in the X-ray structure with stable interactions between the neck and motor core domain. Minus-end-directed movement is based mainly on two key events: (i) the stable neck-core interactions in ncd generate a binding geometry between motor and microtubule which places the motor ahead of its cargo in the minus-end direction; and (ii) after the uptake of ATP, the two heads rearrange their position relative to each other in a way that promotes a swing of the neck in the minus-end direction.     

Electron microscopic evidence for the myosin head lever arm mechanism in hydrated myosin filaments using the gas environmental chamber

Muscle contraction results from an attachment–detachment cycle between the myosin heads extending from myosin filaments and the sites on actin filaments. The myosin head first attaches to actin together with the products of ATP hydrolysis, performs a power stroke associated with release of hydrolysis products, and detaches from actin upon binding with new ATP. The detached myosin head then hydrolyses ATP, and performs a recovery stroke to restore its initial position. The strokes have been suggested to result from rotation of the lever arm domain around the converter domain, while the catalytic domain remains rigid. To ascertain the validity of the lever arm hypothesis in muscle, we recorded ATP-induced movement at different regions within individual myosin heads in hydrated myosin filaments, using the gas environmental chamber attached to the electron microscope. The myosin head were position-marked with gold particles using three different site-directed antibodies. The amplitude of ATP-induced movement at the actin binding site in the catalytic domain was similar to that at the boundary between the catalytic and converter domains, but was definitely larger than that at the regulatory light chain in the lever arm domain. These results are consistent with the myosin head lever arm mechanism in muscle contraction if some assumptions are made.     

Interaction of nonpolymerizable actins with myosin.

Polymerization of G-actin in the presence of salt and phalloidin was blocked by treatment of G-actin with m-maleimidobenzoic acid N-hydroxysuccinimide ester (MBS) (designated as m-actin). The actin dimer produced by chemical crosslinking of F-actin with N,N'-p-phenylenedimaleimide did not polymerize and was still dimeric or tetrameric after further treatment with MBS (designated as d-actin). The m- and d-actins retained the ability to bind to myosin heads with apparent dissociation constants of 3-8 x 10(-6) and 3-5 x 10(-7) M, respectively. d-Actin formed a 1:1 actin monomer-myosin head complex. However, m-actin formed a 2:1 m-actin-head complex, suggesting the presence of at least two latent actin-binding sites on a myosin head. ATP weakens only 2- to 6-fold the binding of these complexes. One of two m-actins on a myosin head was replaced by d-actin. Native F-actin blocked the binding of both m- and d-actins to myosin heads in the presence and absence of ATP, although the affinities of myosin head for MBS-treated actins and F-actin are similar in the presence of ATP. These results suggest that there are at least three actin binding sites on a myosin head: one is responsible for binding of F-, m-, and d-actins, the second for binding of F- and m-actins, and the third for binding of F-actin at least in the presence of ATP. F-Actin binding to the third site may in some way block the first and second binding sites.     

Interhead distances in myosin attached to F-actin estimated by fluorescence energy transfer spectroscopy.

Fluorescence resonance energy transfer (FRET) spectroscopy has been used to determine distances between probes attached to the most reactive sulfhydryl (SH1) group on individual myosin "heads." We measured intramolecular and intermolecular interhead distances as well as the distance between one head of heavy meromyosin (HMM) mixed with subfragment-1 (S1) heads attached to F-actin under rigor conditions. The SH1 cysteine was specifically labeled with either a donor (5-((((2-iodoacetyl)amino)ethyl)amino)naphthalene-1-sulfonic acid) or an acceptor probe (5-iodoacetamidofluorescein). In free solution, the distance between these probes was too large to allow significant FRET, but in the rigor complex with F-actin, intermolecular interhead distances between S1 molecules, HMM molecules, or S1 and HMM were determined to be 6.0-6.3 nm. The radial coordinate of the labels relative to F-actin was 5.0-6.4 nm. However, the intramolecular interhead distance in HMMs in which the two heads were labeled with D and A probes was estimated to be larger. The binding affinity of the second head of HMM(D/A) to F-actin may be reduced because of heterogeneous modification of the SH1 groups, such that the probability of single-head binding is increased.     

Strain through the neck linker ensures processive runs: a DNA‐kinesin hybrid nanomachine study

The motor protein kinesin has two heads and walks along microtubules processively using energy derived from ATP. However, how kinesin heads are coordinated to generate processive movement remains elusive. Here we created a hybrid nanomachine (DNA‐kinesin) using DNA as the skeletal structure and kinesin as the functional module. Single molecule imaging of DNA‐kinesin hybrid allowed us to evaluate the effects of both connect position of the heads (N, C‐terminal or Mid position) and sub‐nanometer changes in the distance between the two heads on motility. Our results show that although the native structure of kinesin is not essential for processive movement, it is the most efficient. Furthermore, forward bias by the power stroke of the neck linker, a 13‐amino‐acid chain positioned at the C‐terminus of the head, and internal strain applied to the rear of the head through the neck linker are crucial for the processive movement. Results also show that the internal strain coordinates both heads to prevent simultaneous detachment from the microtubules. Thus, the inter‐head coordination through the neck linker facilitates long‐distance walking.     

Movement of smooth muscle tropomyosin by myosin heads.

It has been proposed that during the activation of muscle contraction the initial binding of myosin heads to the actin thin filament contributes to switching on the thin filament and that this might involve the movement of actin-bound tropomyosin. The movement of smooth muscle tropomyosin on actin was investigated in this work by measuring the change in distance between specific residues on tropomyosin and actin by fluorescence resonance energy transfer (FRET) as a function of myosin head binding to actin. An energy transfer acceptor was attached to Cys374 of actin and a donor to the tropomyosin heterodimer at either Cys36 of the beta-chain or Cys190 of the alpha-chain. FRET changed for the donor at both positions of tropomyosin upon addition of skeletal or smooth muscle myosin heads, indicating a movement of the whole tropomyosin molecule. The changes in FRET were hyperbolic and saturated at about one head per seven actin subunits, indicating that each head cooperatively affects several tropomyosin molecules, presumably via tropomyosin's end-to-end interaction. ATP, which dissociates myosin from actin, completely reversed the changes in FRET induced by heads, whereas in the presence of ADP the effect of heads was the same as in its absence. The results indicate that myosin with and without ADP, intermediates in the myosin ATPase hydrolytic pathway, are effective regulators of tropomyosin position, which might play a role in the regulation of smooth muscle contraction.     

Myosin step size. Estimation from slow sliding movement of actin over low densities of heavy meromyosin

We have estimated the step size of the myosin cross-bridge (d, displacement of an actin filament per one ATP hydrolysis) in an in vitro motility assay system by measuring the velocity of slowly moving actin filaments over low densities of heavy meromyosin on a nitrocellulose surface. In previous studies, only filaments greater than a minimum length were observed to undergo continuous sliding movement. These filaments moved at the maximum speed (Vo), while shorter filaments dissociated from the surface. We have now modified the assay system by including 0.8% methylcellulose in the ATP solution. Under these conditions, filaments shorter than the previous minimum length move, but significantly slower than Vo, as they are propelled by a limited number of myosin heads. These data are consistent with a model that predicts that the sliding velocity (v) of slowly moving filaments is determined by the product of vo and the fraction of time when at least one myosin head is propelling the filament, that is, v = vo [1-(1-ts/tc)N], where ts is the time the head is strongly bound to actin, tc is the cycle time of ATP hydrolysis, and N is the average number of myosin heads that can interact with the filament. Using this equation, the optimum value of ts/tc to fit the measured relationship between v and N was calculated to be 0.050. Assuming d = vots, the step size was then calculated to be between 10nm and 28 nm per ATP hydrolyzed, the latter value representing the upper limit. This range is within that of geometric constraint for conformational change imposed by the size of the myosin head, and therefore is not inconsistent with the swinging cross-bridge model tightly coupled with ATP hydrolysis.     

Modeling Smooth Muscle Myosin's Two Heads: Long-Lived Enzymatic Roles and Phosphorylation-Dependent Equilibria

Smooth muscle myosin has two heads, each capable of interacting with actin to generate force and/or motion as it hydrolyzes ATP. These heads are inhibited when their associated regulatory light chain is unphosphorylated (0P), becoming active and hydrolyzing ATP maximally when phosphorylated (2P). Interestingly, with only one of the two regulatory light chains phosphorylated (1P), smooth muscle myosin is active but its ATPase rate is <2P. To explain published 1P single ATP turnover and steady-state ATPase activities, we propose a kinetic model in which 1P myosin exists in an equilibrium between being fully active (2P) and inhibited (0P). Based on the single ATP turnover data, we also propose that each 2P head adopts a hydrolytic role distinct from its partner at any point in time, i.e., one head strongly binds actin and hydrolyzes ATP at its actin-activated rate while the other weakly binds actin. Surprisingly, the heads switch roles slowly (<0.1 s⁻¹), suggesting that their activities are not independent. The phosphorylation-dependent equilibrium between active and inhibited states and the hydrolytic role that each head adopts during its interaction with actin may have implications for understanding regulation and mechanical performance of other members of the myosin family of molecular motors.     

Transient interaction between the N-terminal extension of the essential light chain-1 and motor domain of the myosin head during the ATPase cycle

The molecular mechanism of muscle contraction is based on the ATP-dependent cyclic interaction of myosin heads with actin filaments. Myosin head (myosin subfragment-1, S1) consists of two major domains, the motor domain responsible for ATP hydrolysis and actin binding, and the regulatory domain stabilized by light chains. Essential light chain-1 (LC1) is of particular interest since it comprises a unique N-terminal extension (NTE) which can bind to actin thus forming an additional actin-binding site on the myosin head and modulating its motor activity. However, it remains unknown what happens to the NTE of LC1 when the head binds ATP during ATPase cycle and dissociates from actin. We assume that in this state of the head, when it undergoes global ATP-induced conformational changes, the NTE of LC1 can interact with the motor domain. To test this hypothesis, we applied fluorescence resonance energy transfer (FRET) to measure the distances from various sites on the NTE of LC1 to S1 active site in the motor domain and changes in these distances upon formation of S1-ADP-BeF_x complex (stable analog of S1¹-AТP state). For this, we produced recombinant LC1 cysteine mutants, which were first fluorescently labeled with 1,5-IAEDANS (donor) at different positions in their NTE and then introduced into S1; the ADP analog (TNP-ADP) bound to the S1 active site was used as an acceptor. The results show that formation of S1-ADP-BeF_x complex significantly decreases the distances from Cys residues in the NTE of LC1 to TNP-ADP in the S1 active site; this effect was the most pronounced for Cys residues located near the LC1 N-terminus. These results support the concept of the ATP-induced transient interaction of the LC1 N-terminus with the S1 motor domain.     

Diffusion and directed movement: in vitro motile properties of fission yeast kinesin-14 Pkl1

Fission yeast Pkl1 is a kinesin-14A family member that is known to be localized at the cellular spindle and is capable of hydrolyzing ATP. However, its motility has not been detected. Here, we show that Pkl1 is a slow, minus end-directed microtubule motor with a maximum velocity of 33+/-9 nm/s. The Km,MT value of steady-state ATPase activity of Pkl1 was as low as 6.4+/-1.1 nM, which is 20-30 times smaller than that of kinesin-1 and another kinesin-14A family member, Ncd, indicating a high affinity of Pkl1 for microtubules. However, the duty ratio of 0.05 indicates that Pkl1 spends only a small fraction of the ATPase cycle strongly associated with a microtubule. By using total internal reflection fluorescence microscopy, we demonstrated that single molecules of Pkl1 were not highly processive but only exhibited biased one-dimensional diffusion along microtubules, whereas several molecules of Pkl1, probably fewer than 10 molecules, cooperatively moved along microtubules and substantially reduced the diffusive component in the movement. Our results suggest that Pkl1 molecules work in groups to move and generate forces in a cooperative manner for their mitotic functions.