The search for a satisfactory model for complexity, meant as an intermediate condition between total order and total disorder, is still subject of debate in the scientific community. In this dissertation the emergence of non-Poisson renewal processes in several complex systems is investigated. After reviewing the basics of renewal theory, another popular approach to complexity, called modulation, is introduced. I show how these two different approaches, given a suitable choice of the parameter involved, can generate the same macroscopic outcome, namely an inverse power law distribution density of events occurrence. To solve this ambiguity, a numerical instrument, based on the theoretical analysis of the aging properties of renewal systems, is introduced. The application of this method, called renewal aging experiment, allows us to distinguish if a time series has been generated by a renewal or a modulation process. This method of analysis is then applied to several physical systems, from blinking quantum dots, to the human brain activity, to seismic fluctuations. Theoretical conclusions about the underlying nature of the considered complex systems are drawn.

<p>Just as heat, light and electricity do, mechanical forces can also stimulate reactions. Conventionally, these processes - known as mechanochemistry - were viewed as comprising only destructive events, such as bond scission and material failure. Recently, Moore and coworkers demonstrated that the incorporation of mechanophores, i.e., mechanochemically active moieties, can bring new types of chemistry. This demonstration has inspired a series of fruitful works, at both the molecular and material levels, in both theoretical and experimental aspects, for both fundamental research and applications. This dissertation evaluates mechanochemical behavior in all of these contexts. </p><p>At the level of fundamental reactivity, forbidden reactions, such as those that violate orbital symmetry effects as captured in the Woodward-Hoffman rules, remain an ongoing challenge for experimental characterization, because when the competing allowed pathway is available, the reactions are intrinsically difficult to trigger. Recent developments in covalent mechanochemistry have opened the door to activating otherwise inaccessible reactions. This dissertation describes the first real-time observation and quantified measurement of four mechanically activated forbidden reactions. The results provide the experimental benchmarks for mechanically induced forbidden reactions, including those that violate the Woodward-Hoffmann and Woodward-Hoffmann-DePuy rules, and in some cases suggest revisions to prior computational predictions. The single-molecule measurement also captured competing reactions between isomerization and bimolecular reaction, which to the best of our knowledge, is the first time that competing reactions are probed by force spectroscopy. </p><p> Most characterization for mechanochemistry has been focused on the reactivity of mechanophores, and investigations of the force coupling efficiency are much less reported. We discovered that the stereochemistry of a non-reactive alkene pendant to a reacting mechanophore has a dramatic effect on the magnitude of the force required to trigger reactivity on a given timescale (here, a 400 pN difference for reactivity on the timescale of 100 ms). The stereochemical perturbation has essentially no measurable effect on the force-free reactivity, providing an almost perfectly orthogonal handle for tuning mechanochemical reactivity independently of intrinsic reactivity. </p><p>Mechanochemical coupling is also applied here to the study of reaction dynamics. The dynamics of reactions at or in the immediate vicinity of transition states are critical to reaction rates and product distributions, but direct experimental probes of those dynamics are rare. The s-trans, s-trans 1,3-diradicaloid transition states are trapped by tension along the backbone of purely cis-substituted gem-difluorocyclopropanated polybutadiene using the extensional forces generated by pulsed sonication of dilute polymer solutions. Once released, the branching ratio between symmetry-allowed disrotatory ring closing (of which the trapped diradicaloid structure is the transition state) and symmetry-forbidden conrotatory ring closing (whose transition state is nearby) can be inferred. Net conrotatory ring closing occurred in 5.0 ± 0.5% of the released transition states, as compared to 19 out of 400 such events in molecular dynamics simulations.</p><p>On the materials level, the inevitable stress in materials during usage causes bond breakage, materials aging and failure. A strategy for solving this problem is to learn from biological materials, which are capable to remodel and become stronger in response to the otherwise destructive forces. Benzocyclobutene has been demonstrated to mechanically active to ortho-quinodimethide, an intermediate capable for [4+4] dimerization and [4+2] cycloaddition. These features make it an excellent candidate for and synthesis of mechanochemical remodeling. A polymer containing hundreds of benzocyclobutene on the backbone was synthesized. When the polymer was exposed to otherwise destructive shear forces generated by pulsed ultrasound, its molecular weight increased as oppose to other mechanophore-containing polymers. When a solution of the polymer with bismaleimide was subjected to pulsed ultrasonication, crosslink occurred and the modulus increased by two orders of magnitude.</p> / Dissertation

No description available.

Gene regulation is vital to the success of all living organisms. Understanding this complex process is crucial to our knowledge of how cells function and how in some cases they can lead to debilitating or even fatal disease. In this thesis I focus on a set of DNA-binding proteins known as transcription factors (TFs), proteins fundamental to the process of gene regulation at the level of transcription. I develop assays and techniques for the detection and quantitation of TFs in vitro and in vivo as well as a method for TF encapsulation and release. The advantages of the TF detection assays in this thesis are made possible through the use of single-molecule (sm) fluorescence. This methodology enables detection of individually labeled molecules allowing discrimination of sample heterogeneities inaccessible with ensemble techniques. Here I present two different TF assays based on two sm observables: relative probe stoichiometry and Förster resonance energy transfer (FRET). The first assay design, based on stoichiometry, detects TFs using TF-dependent coincidence of two distinctly labelled DNA ‘half-sites’. I demonstrate sensitive detection (~ pM) in solution and on surfaces, multiplexed detection of multiple TFs, and detection in cell lysates. A kinetic model of the system is also developed, verified experimentally and used to quantify TF concentrations without the need for a calibration curve. The second assay design, based on FRET, is a novel approach to TF detection using TFmediated DNA bending. TFs are detected by bending the sensor and monitored with FRET at the single-molecule or ensemble level. I demonstrate TF detection in purifed form and expressed in cell lysates. As this sensor was designed for use in vivo, methods to hinder nuclease degradation are explored. For TF detection in vivo, I describe a successful strategy to internalise fluorescently labeled molecules into live E.coli. Viability and internalisation efficiency are characterised and ensemble measurements with FRET standards are demonstrated. Importantly, sm FRET measurements in vivo are achieved opening many exciting possibilities. The FRET based TF sensor is then internalised as a step towards real-time in vivo monitoring of TF concentrations. Finally a system based on DNA nanotechnology is presented for the non-covalent encapsulation and release of TFs. Such a system could be delivered into a cell to alter levels of gene expression using external stimuli as inputs. We believe these tools will generate valuable information in the study of prokaryotic gene expression as well as providing a potential commercial avenue towards diagnostics.

Single-molecule detection has provided insights into how molecules behave. Without the averaging effect of ensemble measurements, the stochastic behaviour of single molecules can be observed and intermediate steps in multistep transformations can be clearly detected. The single-molecule reactants range from small molecules (e.g. propene) to proteins of several tens of kDa (e.g. myosin). One single-molecule detection technique is single-channel electrical recording. This approach is based on the measurement of the transmembrane ionic current flowing through a nanoscale transmembrane pore under an applied potential. In this thesis, the protein α-hemolysin was employed as a nanoreactor. α-Hemolysin is a toxin secreted by Staphylococcus aureus. Its transmembrane pore (~100 Å in length and ≥14 Å in diameter) allows ions, water and small molecules to pass through its lumen. Under an applied potential, chemical changes in reactants attached to the internal wall of the pore modulate the flow of ions, leading to changes in the transmembrane ionic current. Analysis of this current provides information about the reaction kinetics and mechanisms. Chapter 1 – Single-Molecule Chemistry and α-Hemolysin is an introductory chapter that is divided into two parts. Section 1.1 provides an overview of the different techniques for the detection of chemical reactions at the single-molecule level. Section 1.2 gives a brief review of the protein pore α-hemolysin, including its structure, properties and various applications. Chapter 2 – S-Nitrosothiol Chemistry applies cysteine-containing α-hemolysins to study the biologically relevant chemistry of S-nitrosothiols (RSNO). RSNO are important molecules involved in cell signalling, which control physiological processes such as vasodilation and bronchodilation. Three reactions, namely transnitrosation (the transfer of the ‘NO’ group from RSNO to a thiol), S-thiolation (the formation of a disulfide from RSNO and thiol) and S-sulfonation (the generation of an S-sulfonate (RSSO₃⁻) from RSNO and sulfite ion), were investigated at the single-molecule level. The pH-dependency of the two competing reactions (transnitrosation and S-thiolation), the lifetime of the proposed transnitrosation intermediate, and nature of the chemical reaction between RSNO and sulfite (a bronchoconstrictor) were determined. Chapter 3 – Silver(I)-thiolate and cadmium(II)-thiolate complexes describes the kinetics of the formation and breakdown of these two metal-thiolate complexes. Ag⁺ and Cd²⁺ are commonly used in probing the membrane topology and gating properties of ion channels using the scanning cysteine accessibility method (SCAM). The binding of two Ag⁺ ions per thiol group and the stepwise build-up and dissociation of Cd²⁺-glutathione complexes were unambiguously characterized. Chapter 4 – Copper(II)-Catalyzed Diels-Alder Reactions reports the attempt to carry out copper(II)-catalyzed Diels-Alder reactions inside an engineered α-hemolysin. An iminodiacetate ligand was covalently attached within the lumen of the α-hemolysin pore. This ligand chelates Cu²⁺ ion, which can bind bidentate dienophiles and activate them towards Diels-Alder reaction with dienes. However, due to the ‘slow’ reaction rate of the Diels-Alder reaction (rate constant ~10⁻¹ M⁻¹s⁻) relative to the time-scale of the single-molecule experiment, we failed to observed chemical conversion at the single-molecule level. Nevertheless, the engineered metal-binding α-hemolysin may be useful for sensing molecules bearing metal-coordinating groups.

mRNA localization ensures correct spatial and temporal control of protein synthesis in the cell. Using a single molecule in vitro approach, we provide insight into the mechanisms by which localizing mRNAs are carried by molecular motors on cytoskeletal tracks to their destination. Budding yeast serves as a model system for studying the mechanisms of mRNA transport because localizing mRNAs are moved on actin tracks in the cell by a single class V myosin motor, Myo4p. Molecular motors that specialize in cargo transport are generally double-headed so that they can "walk" for many microns without dissociating, a feature known as processivity. Thus, is was surprising when Myo4p purified from yeast was shown by in vitro assays to be non-processive. The reason for its inability to move processively is that the Myo4p heavy chain does not dimerize with itself, but instead binds tightly to the adapter protein She3p to form a single-headed motor complex. The mRNA-binding adapter protein She2p links Myo4p to mRNA cargo by binding She3p. To understand the molecular mechanisms of mRNA transport in budding yeast, we fully reconstituted a messenger ribonucleoprotein (mRNP) complex from purified proteins and a localizing mRNA (ASH1) found in budding yeast. Using single molecule in vitro assays, we find that She2p recruits two Myo4p-She3p complexes, forming a processive double-headed motor complex that is stabilized by mRNA at physiological ionic strength. Thus, only in the presence of mRNA is Myo4p capable of continuous mRNA transport, an elegant mechanism that ensures that only cargo bound motors are motile. We next wished to understand if the principles of mRNA transport in budding yeast are conserved in higher eukaryotes. In Drosophila, mRNA is transported on microtubule tracks by cytoplasmic dynein, and the adapters that link the motor to localizing transcripts are well-defined. The adapter protein bicaudal D (BicD) coordinates dynein motor activity with mRNA cargo binding. The N-terminus of BicD binds dynein, and the C-terminus interacts with the mRNA-binding protein Egalitarian. Unlike mammalian dynein alone, it was recently shown that an N-terminal fragment of BicD (BicD2CC1), in combination with a large 1.2MDa multi-subunit accessory complex called dynactin, forms a complex (DDBCC1) that is activated for long processive runs. But unlike the constitutively activated BicD2CC1 fragment, the full-length BicD molecule fails to recruit dynein-dynactin because it is auto-inhibited by interactions between the N-terminal dynein binding domain and the C-terminal cargo binding domain. To understand how dynein is activated by native cargo and full-length adapters, we fully reconstituted a mRNP complex in vitro from tissue-purified dynein and dynactin, expressed full-length adapters BicD and Egalitarian, and a synthesized localizing mRNA found in Drosophila. We find that only mRNA-bound Egalitarian is capable of relieving BicD auto-inhibition for the recruitment of dynein-dynactin, and activation of mRNA transport in vitro. Thus, the presence of an mRNA cargo for activation of motor complexes is a conserved mechanism in both budding yeast and higher eukaryotes to ensure that motor activity is tightly coupled to cargo selection.

Doctor of Philosophy / Department of Chemistry / Daniel A. Higgins / This dissertation describes the application of single molecule spectroscopy and tracking to investigations of the nanoscale properties of thin-film chemical gradients and the transport dynamics of molecules dispersed within and upon these gradients. Chemical gradients are surface bound materials that incorporate gradually changing chemical and/or physical properties. A continuous and gradual change in the properties of gradients are expected and often required for their intended applications, which range from directed growth of cell colonies to combinatorial materials science. In reality, such conditions are almost never met due to spontaneous demixing and dewetting processes that can lead to properties variations on microscopic length scales. A better understanding on the properties of chemical gradients on microscopic length scales will aid in the production of better engineered materials. Single molecule spectroscopy (SMS) allows for gradient properties to be probed on nanometer-to-micrometer length scales. In this dissertation, quantitative measurements of gradient polarity (i.e., dielectric properties) are made along a sol-gel derived thin film that incorporates a macroscopic polarity gradient. These measurements report on the microscopic heterogeneity of the gradient film, and point to the occurrence of phase separation of the polar and nonpolar components along the gradient. Single molecule tracking (SMT) provides an important means to examine the dynamics of molecular mass transport in thin films and on surfaces. In this dissertation, SMT is employed to study mass transport in thin water films condensed over monolayer wettability gradients under ambient environments. The results show that the rate and the mechanism of molecular transport depend on the surface wettability, and on the ambient relative humidity. Finally, wettability gradients have been broadly used to drive the transport of liquid droplets. In this dissertation, these applications are extended to achieve spontaneous stretching of DNA by the propulsion of liquid droplets along the gradient. Single molecule fluorescence imaging of DNA stretched along these gradients demonstrates that hydrophobic surfaces play an important role in DNA stretching. The study also shows the surface tension force acting at the gradient-droplet contact line (interface) to be responsible for DNA elongation and alignment. Overall, single molecule methods have been shown to be highly useful for better understanding the properties of chemical gradients as described in this dissertation.

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.

Doctor of Philosophy / Department of Chemical Engineering / Keith L. Hohn / The autothermal reforming and partial oxidation of hexadecane via Pt/Ni bimetallic nanoparticles on various ceria-based supports were investigated. Nanoparticles with Pt/Ni molar ratios ranging from 0/100 to 10/90 were loaded on ceria-based supports including cerium oxide, gadolinium-doped cerium oxide and cerium-doped zirconium oxide. The effect of the Pt/Ni molar ratio and the promotional effect of the support were studied by comparing the hydrogen yield. TPR and XPS analysis showed that there was a strong interaction between Ni and the CeO₂-ZrO₂ support, which led to enhancement of catalyst performance when the Pt/Ni ratio was low. The strong interaction between Ni and CeO₂-ZrO₂ support was induced by the formation of a solid solution between NiO and ZrO₂. In the case of bimetallic catalysts loaded on Gd₂O₃-CeO₂, no significant improvement in the catalytic activity of autothermal reforming was achieved until the Pt/Ni ratio reached 10/90. With C-snarf-1 as a pH-sensitive fluorescent probe, the local acidity on the surface of gradient aluminosilicate thin films and in the pore structure of mesoporous silicate films was explored. The single molecule emission ratio (I₅₈₀/I₆₄₀) of C-snarf-1 on the gradient aluminosilicate films showed similar results as previously reported for aluminosilicate mesoporous films. As the Al/Si ratio increases, the emission ratio declines, indicative of increased material acidity. In the case the mesoporous silicate films, much broader distributions of emission ratios were observed and are suggestive of significant heterogeneity in the pore structure of these films. The average emission ratio increased with a rise in pH until pH 6 or 7. A further rise in pH leads to a decline in emission ratio. Molecules with high mobility showed a narrow distribution and slightly lower average emission ratio when compared to data from all detected molecules. This observation implies a reduced heterogeneity for mesopores in which the molecules rapidly diffuse. The narrow distribution and lower average value of emission ratio at low pH, combined with the decrease in emission ratio induced by an increase in ionic strength may further indicate that the interaction between dye molecules and the pore surface impacts the emission ratio of the dye molecules.

<p>Proteins are specialized molecules that catalyze most of the reactions that can sustain life, and they become functional by folding into a specific 3D structure. Despite their importance, the question, "how do proteins fold?" - first pondered in in the 1930's - is still listed as one of the top unanswered scientific questions as of 2005, according to the journal Science. Answering this question would provide a foundation for understanding protein function and would enable improved drug targeting, efficient biofuel production, and stronger biomaterials. Much of what we currently know about protein folding comes from studies on small, single-domain proteins, which may be quite different from the folding of large, multidomain proteins that predominate the proteomes of all organisms.</p><p>In this thesis I will discuss my work to fill this gap in understanding by studying the unfolding and refolding of large, multidomain proteins using the powerful combination of single-molecule force-spectroscopy experiments and molecular dynamic simulations.</p><p>The three model proteins studied - Luciferase, Protein S, and Streptavidin - lend insight into the inter-domain dependence for unfolding and the subdomain stabilization of binding ligands, and ultimately provide new insight into atomistic details of the intermediate states along the folding pathway.</p> / Dissertation