Rotary molecular motors are protein complexes which convert chemical or electrochemical energy from the environment into mechanical work in the form of rotary motion. The work in this thesis examines two of these motors: the F₁ portion of F₁F_O- ATP synthase, which is responsible for ATP production in bacteria and eukaryotes, and the bacterial flagellar motor (BFM), which rotates the flagella of a bacterium, enabling locomotion. The aim of these investigations was to measure the stepping dynamics of these motors, in order to further elucidate details of the stepping mechanism, the mechanism of rotation, and the mechanochemical cycle. A back-scattering laser dark field microscope of unprecedented resolution was designed and constructed to observe the rotation of gold nanoparticles attached to fixed motors. This micro- scope is capable of sub-nanometer and 20μs resolution. The protocols and algorithms to collect and analyze high resolution rotational data developed for these experiments have yielded novel discoveries for both F₁ and the BFM. While most of the previous single-molecule work has been done on F₁ from the thermophilic Bacilus PS3 (TF₁), only mitochondrial F₁ has been well characterized by high-resolution crystal structures, and single-molecule studies of mesophilic F₁ are lacking. This thesis presents evidence that mesophilic F₁ from E. coli and wild type yeast F₁ from S. cerevisiae are governed by the same mechanism as TF₁ under laboratory conditions. Experiments with yeast F₁ mutants allow a direct comparison between single-molecule rotation studies and high resolution crystal structures. A data set of unprecedented size and resolution was acquired of high speed, low load BFM rotation, enabling the first observation of steps in the BFM under physiological conditions. Preliminary results from this analysis question previously published results of the dependence of speed on stator number at low load and provide novel hypotheses necessitating new models of BFM rotation.

There is a strong need to develop a mechanical method to apply external torque to the bacterial flagellar motor. Such a method will allow us to probe the behaviour of the motor at a range of different speeds under different external conditions. In this thesis, I explored various methods to deliver torque at the single-molecule level, in particular the use of angular optical trapping and magnetic tweezers. I have identified rutile particles as suitable handles for use in angular optical trapping due to their high birefringence. Further progress was not achieved using angular optical trapping due to the lack of a suitable method to attach birefringent particles to the bacterial flagellar motor. On the other hand, I was able to make further progress using magnetic tweezers. A highly-reproducible and high-yielding magnetic bead assay was developed along with electromagnets capable of generating fast-rotating magnetic fields at magnitudes on the order of tens of mT. Using the system of delivering magnetic torque developed, I was able to stall and rotate the motor forward at speeds up to 220 Hz and in the reverse direction. Stalling experiments carried out on the motor revealed the stator mechanosensing depends on torque and not rotation. Signatures of stators dropping out at low load experiments further confirm the load dependence of stators.

Bacterial motility, and in particular repulsion or attraction towards specific chemicals, has been a subject of investigation for over 100 years, resulting in detailed understanding of bacterial chemotaxis and the corresponding sensory network in many bacterial species including Escherichia coli. E. Coli swims by rotating a bundle of flagellar filaments, each powered by an individual rotary motor located in the cell membrane. When all motors rotate counter-clockwise (CCW), a stable bundle forms and propels the cell forward. When one or more motors switch to clock-wise (CW) rotation, their respective filaments fall out of the bundle, leading to the cell changing orientation. Upon switching back to CCW, the bundle reforms and propels the cell in a new direction. Chemotaxis is performed by the bacterium through prolonging runs by suppressing CW rotation when moving towards nutrients and facilitating reorientation by increasing CW bias when close to a source of a harmful substance. Chemicals are sensed through interaction with membrane bound chemosensors. These proteins can interact with a very specific set of chemicals and the concentrations they are able to sense are in the range between 10-⁶ and 10-² M. However, experiments have shown that the osmotic pressure exerted by large (> 10-¹ M) concentrations of solutes, which have no specificity for binding to chemosensors (e.g. sucrose), is able to send a signal down the chemotactic network. Additionally, clearing of bacterial density away from sources of high osmolarity has been previously observed in experiments with agar plates. This behaviour has been termed osmotaxis. The aim of this doctoral thesis work is to understand how different environmental cues influence the tactic response and ultimately, combine at the network output to direct bacterial swimming. As tactic responses to chemical stimuli have been extensively studied, I focus purely on the response to non-specific osmotic stimuli, using sucrose to elevate osmolarity. I monitor the chemotactic network output, the rotation of a single bacterial flagellar motor, using Back Focal Plane Interferometry over a variety of osmotic conditions. Additionally, in collaboration with Vincent Martinez, I studied the effect of elevated osmolality on swimming speed of large (104) bacterial populations, using differential dynamic microscopy (DDM). I have found that sudden increases in media osmolarity lead to changes of both motor speed and motor clockwise bias, which is the fraction of time it spends rotating clockwise. Changes in CW Bias proceed in two phases. Initially, after elevating the osmolarity, CW Bias drops to zero, indicating that the motor is exclusively in the ‘cell run’ mode. This phase lasts from 2-5 minutes depending on the magnitude of the change in solute concentration. What follows then is a distinct second phase where the CW Bias is elevated with respect to the initial levels and this phase lasts longer than 15-20 minutes. In comparison, for defined chemical stimuli, the motor output resets after several seconds, a behaviour termed perfect adaptation. For changes of 100 mOsm/kg and 200 mOsm/kg in magnitude the motors speed up, often by as much as a factor of two, before experiencing a gradual slow down. Despite the slow down, motors still rotate faster 15-20 minutes after the change in osmolarity, than they did before. For changes of 400 mOsm/Kg in magnitude the motors decrease sharply in speed, coming to a near halt, recovering after 5 minutes and eventually, on average, speeding up. DDM studies of free swimming bacteria have shown that elevated osmolality leads to higher swimming speeds, in agreement with single motor data. Using theoretical models of bacterial swimming from the literature, it is discussed how this motor output, although different to what is expected for chemotaxis, is able to drive bacteria away from regions of space with high osmolalities. Additionally, I have started extending the work done with sucrose, to another solute often used to elevate osmolality, sodium chloride. While sucrose is outer membrane impermeable, NaCl can cross the outer membrane into the periplasmic space. Another layer of complexity is that NaCl has some specificty for the chemoreceptors. The preliminary results are shown and qualitatively agree with those obtain with sucrose.

Le moteur flagellaire bactérien (BFM) est un complexe moléculaire qui permet aux bactéries de nager dans un milieu liquide. La rotation du moteur est générée à l’interface entre deux éléments clés: les protéines formant le stator (MotA and MoB) et l’anneau C “switching complex” à la base du rotor. Les stators sont des modules du moteur structurellement et fonctionnellement différentiables du reste du moteur, et leurs association et dissociation dynamique autour du rotor contrôle la génération du couple. Quand une protéine fluorescente (PF) est fusionnée à MotB, le moteur est en état de marche mais une réduction générale de la mobilité de la cellule a été observée. La raison précise d’une telle réduction de mobilité n’a pas été étudiée.Le but de cette étude est de comprendre comment la fusion PF de la protéine du stator modifie la génération du couple et le sens de rotation du moteur. C’est particulièrement important car le tag FP se trouve à l’interface entre le stator et le rotor, là où le couple et le changement du sens de rotation sont produits. Trois différentes PFs (eGFP, YPet, Dendra2) ont été fusionnées à la protéine MotB. Malgré la haute similarité de leurs structures, notre analyse a montré que les trois stators fusionnés génèrent des couples différents. Les stators marqués avec YPet produisent un couple moyen similaire au WT (stators sans tag PF), alors que les stators marqués avec eGFP et Dendra2 produisent respectivement 70% et 40% du couple moyen du WT. De plus, les moteurs utilisant les stators fusionnés ont montré des capacités de changement de sens de rotation réduites. Lors d’un changement de sens de rotation, la valeur absolue de la vitesse des moteurs WT ne change pas. Cette “symétrie” de vitesse lors du changement n’apparaît pas avec les moteurs à stators fusionnés et le changement peut être accompagné d’une importante diminution (~30%) de la vitesse absolue.En observant par microcopie TIRF avec détection de molécules uniques, des stators marqués dans un moteur en état de marche, les signaux de fluorescence sont détectés à la membrane comme prévu pour ces protéines, montrant une population de stators diffusant dans celle-ci. Les clusters fluorescents étaient visibles au centre des cellules en rotation, attachés au couvre-glace par une seule flagelle, confirmant que le tag de fluorescence peut être visualisé dans des moteurs en état de marche. Dans un second projet développé dans le laboratoire Bertus Beaumont à TU Delft, en prenant le BFM en tant que système modèle d’évolution expérimentale, sa modularité et son « évolubilité » ont été explorés pour apprendre les détails au niveau moléculaire de l’évolution de ce type de machine. Les stators de E.coli ont été échangés par un set de 21 stators étrangers homologues. L’expérience a révélé que les protéines du stator peuvent être échangées entre espèces de bactéries distantes et certains stators non compatibles peuvent être modifiés positivement par un procédé d’évolution pour devenir fonctionnels. Au cours de cette évolution, les bactéries ont accumulé des mutations avantageuses dans leurs gènes MotA et MotB étrangers, tout particulièrement dans leur domaine fonctionnel. Des mutations identiques dans des stators différents ont été observées, indiquant que l’évolution peut se reproduire. L’analyse fonctionnelle au niveau d’un seul moteur a révélé que ces mutations avantageuses amélioraient la génération du couple et/ou la capacité du moteur à changer de sens. Les investigations détaillées du génotype et du phénotype du BFM modifié par évolution apportés par cette étude, pourraient donner une idée sur la façon dont des machines moléculaires comme le BFM ont évolué, et les effets fonctionnels des mutations bénéfiques qui facilitent l'intégration fonctionnelle. / The bacterial flagellar motor (BFM) is the macromolecular complex which allows bacteria to swim in liquid media. Located at the base of the flagellum, anchored in the cell membrane, this remarkably small (~45nm) yet powerful rotary motor rotates each flagellum of the cell switching between counterclockwise (CCW) and clockwise (CW) direction. The motor rotation is generated at the interface between the two key components of the motor: the stator protein complexes (each composed of 4 MotA and 2 MotB proteins) and the C- ring protein complex at the base of the rotor. The stator complexes are structurally and functionally discernible modules of the motor, and their dynamical association and dissociation around the rotor controls the generation of torque.The first project of this study aims to investigate how the FP tag on the stator protein modifies the torque generation and switching of the motor. This is particularly important because the fluorescent protein tag lies at the interface between stator and rotor, where torque and switching are produced. Three different FPs (eGFP, YPet, Dendra2) were fused to MotB. Interestingly, despite the high similarity of their structures, our analysis revealed that the three fusion stators generate different torque. Furthermore, in the presence of fusion stators, the motor showed significantly impaired switching abilities. When switching direction of the rotation, the absolute value of the speed of WT motors does not change, whereas this symmetry of speed upon switching is not observed in the fusion stator motors, and switching can be accompanied with a significant (~30%) decrease in absolute speed. Both the impaired torque generation and the switching ability were improved by introducing a rigid linker between the stator and the FP tag. Taken together, this study provides a further insight into the dynamics of the stator and rotor interaction at its interface.When the cells carrying the fluorescently labeled stators were observed in a custom made TIRF-fluorescence microscope with single molecule capability, the fluorescence signals were detected as concentrated clusters in the membrane as expected for these membrane proteins around the motors, together with a population of stators diffusing in the membrane. Fluorescent clusters were visible at the center of rotating cells tethered to the glass slide by a single flagellum, confirming that the fluorescent tags can be visualized in functioning motors.In a second project developed in Bertus Beaumont lab at TU Delft, taking BFM as an experimental evolutionary model system, its modularity and evolvability have been explored to learn the molecular details of the evolution of molecular machines. The stators of E.coli have been exchanged by a set of 21 homologue foreign stators. The experiments revealed that the stator proteins can be exchanged between distant bacteria species, and some of the non-compatible stators can be positively modified by evolution to become functional. Those evolved strains accumulated beneficial mutations in their foreign motA and motB genes, especially on their functional domains. Identical mutations in different stators were common, indicating that evolution is repeatable. The functional investigation at the single motor level revealed that those beneficial mutations improved the torque generation and/or the switching ability of the motor. The detailed genotype and phenotype investigations of the evolutionary modified BFM may bring an insight into how molecular machines such as BFM have evolved as well as the functional effects of the beneficial mutations that facilitate functional integration.