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We investigate the fluctuating dynamics of colloidal particles in weakly crosslinked F-actin networks with optical-trap-based microrheology. Using the dual-feedback technology, embedded colloidal particles were stably forced beyond the linear regime in a manner that does not suppress spontaneous fluctuations of particles. Upon forcing, a particle that was stably confined in a cage made of the network's crosslinks started to intermittently jump to the next caging microenvironments. By investigating the statistics of the jump dynamics, we discuss how heterogeneous relaxations observed in equilibrium systems became homogeneous when similar jumps were activated under constant forcing beyond the linear regime.

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The movement of single kinesin molecules was observed while applying noisy external forces that mimic intracellular active fluctuations. We found kinesin accelerates under noise, especially when a large hindering load is added. The behavior quantitatively conformed to a theoretical model that describes the kinesin movement with simple two-state reactions. The universality of the kinetic theory suggests that intracellular enzymes share a similar noise-induced acceleration mechanism, i.e., active fluctuations in cells are not just noise but are utilized to promote various physiological processes.

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Molecular motors are nonequilibrium open systems that convert chemical energy to mechanical work. Their energetics are essential for various dynamic processes in cells, but largely remain unknown because fluctuations typically arising in small systems prevent investigation of the nonequilibrium behavior of the motors in terms of thermodynamics. Recently, Harada and Sasa proposed a novel equality to measure the dissipation of nonequilibrium small systems. By utilizing this equality, we have investigated the nonequilibrium energetics of the single-molecule walking motor kinesin-1. The dissipation from kinesin movement was measured through the motion of an attached probe particle and its response to external forces, indicating that large hidden dissipation exists. In this short review, aiming to readers who are not familiar with nonequilibrium physics, we briefly introduce the theoretical basis of the dissipation measurement as well as our recent experimental results and mathematical model analysis and discuss the physiological implications of the hidden dissipation in kinesin. In addition, further perspectives on the efficiency of motors are added by considering their actual working environment: living cells.

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Nonequilibrium energetics of single molecule translational motor kinesin was investigated by measuring heat dissipation from the violation of the fluctuation-response relation of a probe attached to the motor using optical tweezers. The sum of the dissipation and work did not amount to the input free energy change, indicating large hidden dissipation exists. Possible sources of the hidden dissipation were explored by analyzing the Langevin dynamics of the probe, which incorporates the two-state Markov stepper as a kinesin model. We conclude that internal dissipation is dominant.

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Living cells are composed of active materials, in which forces are generated by the energy derived from metabolism. Forces and structures self-organize to shape the cell and drive its dynamic functions. Understanding the out-of-equilibrium mechanics is challenging because constituent materials, the cytoskeleton and the cytosol, are extraordinarily heterogeneous, and their physical properties are strongly affected by the internally generated forces. We have analyzed dynamics inside two types of eukaryotic cells, fibroblasts and epithelial-like HeLa cells, with simultaneous active and passive microrheology using laser interferometry and optical trapping technology. We developed a method to track microscopic probes stably in cells in the presence of vigorous cytoplasmic fluctuations, by using smooth three-dimensional (3D) feedback of a piezo-actuated sample stage. To interpret the data, we present a theory that adapts the fluctuation-dissipation theorem (FDT) to out-of-equilibrium systems that are subjected to positional feedback, which introduces an additional nonequilibrium effect. We discuss the interplay between material properties and nonthermal force fluctuations in the living cells that we quantify through the violations of the FDT. In adherent fibroblasts, we observed a well-known polymer network viscoelastic response where the complex shear modulus scales as G* ∝ (-iω)3/4. In the more 3D confluent epithelial cells, we found glassy mechanics with G* ∝ (-iω)1/2 that we attribute to glassy dynamics in the cytosol. The glassy state in living cells shows characteristics that appear distinct from classical glasses and unique to nonequilibrium materials that are activated by molecular motors.

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A water-soluble dendron with a fluorescein isothiocyanate (FITC) fluorescent label and bearing nine pendant guanidinium ion (Gu(+))/benzophenone (BP) pairs at its periphery (Glue(BP)-FITC) serves as a "photoclickable molecular glue". By multivalent salt-bridge formation between Gu(+) ions and oxyanions, Glue(BP)-FITC temporarily adheres to a kinesin/microtubule hybrid. Upon subsequent exposure to UV light, this noncovalent binding is made permanent via a cross-linking reaction mediated by carbon radicals derived from the photoexcited BP units. This temporal-to-permanent transformation by light occurs quickly and efficiently in this preorganized state, allowing the movements of microtubules on a kinesin-coated glass plate to be photochemically controlled. A fundamental difference between such temporal and permanent bindings was visualized by the use of "optical tweezers".

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Kinesin-1 (conventional kinesin) is a molecular motor that transports various cargo such as endoplasmic reticulum and mitochondria in cells. Its two head domains walk along microtubule by hydrolyzing ATP, while the tail domains at the end of the long stalk bind to the cargo. When a kinesin is not carrying cargo, its motility and ATPase activity is inhibited by direct interactions between the tail and head. However, the mechanism of this tail regulation is not well understood. Here, we apply single molecule fluorescence resonance energy transfer (smFRET) to observe this interaction in stalk-truncated kinesin. We found that kinesin with two tails forms a folding conformation and dissociates from microtubules, whereas kinesin with one tail remains bound to the micro-tubule and is immobile even in the presence of ATP. We further investigated the head-tail interaction as well as head-head coordination on the microtubule at various nucleotide conditions. From these results, we propose a two-step inhibition model for kinesin motility.

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F(1)-ATPase (F(1)) is an ATP-driven rotary motor wherein the γ subunit rotates against the surrounding α(3)ß(3) stator ring. The 3 catalytic sites of F(1) reside on the interface of the α and ß subunits of the α(3)ß(3) ring. While the catalytic residues predominantly reside on the ß subunit, the α subunit has 1 catalytically critical arginine, termed the arginine finger, with stereogeometric similarities with the arginine finger of G-protein-activating proteins. However, the principal role of the arginine finger of F(1) remains controversial. We studied the role of the arginine finger by analyzing the rotation of a mutant F(1) with a lysine substitution of the arginine finger. The mutant showed a 350-fold longer catalytic pause than the wild-type; this pause was further lengthened by the slowly hydrolyzed ATP analog ATPγS. On the other hand, the mutant F(1) showed highly unidirectional rotation with a coupling ratio of 3 ATPs/turn, the same as wild-type, suggesting that cooperative torque generation by the 3 ß subunits was not impaired. The hybrid F(1) carrying a single copy of the α mutant revealed that the reaction step slowed by the mutation occurs at +200° from the binding angle of the mutant subunit. Thus, the principal role of the arginine finger is not to mediate cooperativity among the catalytic sites, but to enhance the rate of the ATP cleavage by stabilizing the transition state of ATP hydrolysis. Lysine substitution also caused frequent pauses because of severe ADP inhibition, and a slight decrease in ATP-binding rate.

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Adenosine triphosphate (ATP) turnover drives various processive molecular motors and adenosine diphosphate (ADP) release is a principal transition in this cycle. Biochemical and single molecule mechanical studies have led to a model in which a slow ADP release step contributes to the processivity of myosin-V. To test the relationship between force generation and ADP release, we utilized optical trapping nanometry and single molecule total internal reflection fluorescence imaging for simultaneous and direct observation of both processes in myosin-V. We found that ADP was released 69 +/- 5.3 ms after force generation and displacement of actin, providing direct evidence for slow ADP release. As proposed by several previous studies, this slow ADP release probably ensures processivity by prolonging the strong actomyosin state in the ATP turnover cycle.

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Myosin V is an actin-based processive molecular motor driven by the chemical energy of ATP hydrolysis. Although the chemo-mechanical coupling in processive movement has been postulated by separate structural, mechanical and biochemical studies, no experiment has been able to directly test these conclusions. Therefore the relationship between ATP-turnover and force generation remains unclear. Currently, the most direct method to measure the chemo-mechanical coupling in processive motors is to simultaneously observe ATP-turnover cycles and displacement at the single molecule level. In this study, we developed a simultaneous measurement system suitable for mechanical and chemical assays of myosin V in order to directly elucidate its chemo-mechanical coupling.

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F(1), a rotational molecular motor, shows strong cooperativity during ATP catalysis when driving the rotation of the central gamma subunit surrounded by the alpha(3)beta(3) subunits. To understand how the three catalytic beta subunits cooperate to drive rotation, we made a hybrid F(1) containing one or two mutant beta subunits with altered catalytic kinetics and observed its rotations. Analysis of the asymmetric stepwise rotations elucidated a concerted nature inside the F(1) complex where all three beta subunits participate to rotate the gamma subunit with a 120 degrees phase. In addition, observing hybrid F(1) rotations at various solution conditions, such as ADP, P(i) and the ATPase inhibitor 2,3-butanedione 2-monoxime (BDM) provides additional information for each elementary event. This novel experimental system, which combines single molecule observations and biochemical methods, enables us to dynamically visualize the catalytic coordination inside active enzymes and shed light on how biological machines provide unidirectional functions and rectify information from stochastic reactions.

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F1-ATPase, the catalytic part of FoF1-ATP synthase, rotates the central gamma subunit within the alpha3beta3 cylinder in 120 degrees steps, each step consuming a single ATP molecule. However, how the catalytic activity of each beta subunit is coordinated with the other two beta subunits to drive rotation remains unknown. Here we show that hybrid F1 containing one or two mutant beta subunits with altered catalytic kinetics rotates in an asymmetric stepwise fashion. Analysis of the rotations reveals that for any given beta subunit, the subunit binds ATP at 0 degrees, cleaves ATP at approximately 200 degrees and carries out a third catalytic event at approximately 320 degrees. This demonstrates the concerted nature of the F1 complex activity, where all three beta subunits participate to drive each 120 degrees rotation of the gamma subunit with a 120 degrees phase difference, a process we describe as a 'sequential three-site mechanism'.

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F(1)-ATPase is an ATP hydrolysis-driven motor in which the gamma subunit rotates in the stator cylinder alpha(3)beta(3). To know the coordination of three catalytic beta subunits during catalysis, hybrid F(1)-ATPases, each containing one, two, or three "slow" mutant beta subunits that bind ATP very slowly, were prepared, and the rotations were observed with a single molecule level. Each hybrid made one, two, or three steps per 360 degrees revolution, respectively, at 5 microm ATP where the wild-type enzyme rotated continuously without step under the same observing conditions. The observed dwell times of the steps are explained by the slow binding rate of ATP. Except for the steps, properties of rotation, such as the torque forces exerted during rotary movement, were not significantly changed from those of the wild-type enzyme. Thus, it appears that the presence of the slow beta subunit(s) does not seriously affect other normal beta subunit(s) in the same F(1)-ATPase molecule and that the order of sequential catalytic events is faithfully maintained even when ATP binding to one or two of the catalytic sites is retarded.

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