<p dir="ltr">Fluorescence microscopy, a cornerstone in biological imaging, faces inherent challenges due to photon budget constraints that affect the signal-to-noise ratio (SNR), ultimately limiting imaging performance. This thesis explores theoretical frameworks to address two fundamental issues: the denoising limit of fluorescence microscopy images and the resolution limit in the presence of photon noise. Firstly, we extend the application of the Cramér-Rao Lower Bound (CRLB) to establish a variance lower bound for image denoising algorithms in fluorescence microscopy. By incorporating constraints specific to the imaging system and biological specimens, we provide a benchmark for evaluating the performance of state-of-the-art denoising algorithms. Our analysis reveals that this lower bound is determined by factors such as photon count, readout noise, detection wavelength, effective pixel size, and numerical aperture of the microscope system. Secondly, building upon the pioneering work by Ernest Abbe and leveraging modern fluorescence and nanoscopy advancements, we propose a novel theoretical framework to quantify the resolving power of fluorescence microscopes under finite photon conditions. This model integrates the traditional diffraction limit with photon statistics to determine the practical resolution limit, highlighting the trade-offs between photon noise and resolution enhancement in techniques like confocal microscopy. This dual approach not only refined the theoretical understanding of fluorescence microscopy's capabilities but also assisted in designing and optimizing more effective imaging protocols. Through these investigations, this thesis provided a comprehensive theoretical foundation for improving fluorescence microscopy imaging techniques, paving the way for future innovations in biological imaging.</p>

Amyloidogenic neurodegenerative disorders such as Alzheimer's disease (AD) and Parkinson's disease (PD) are an important health issue. However, the underlying molecular mechanisms of the disease-related protein aggregates, that are present in humans, are only understood partially. I have used and developed biophysical methods to study the structural and biological properties of individual aggregates of Amyloid β peptide and α-Synuclein, proteins whose aggregation is associated with the development of Alzheimer's and Parkinson's disease respectively. I expanded the single aggregate visualisation through enhancement (SAVE) technique, which is a method based on the fluorescent dye Thioflavin T (ThT) that reversibly bind to the aggregates and whose fluorescence increases upon binding. I firstly explored the use of other dyes for these experiments and found that a ThT dimer has higher affinity to α-Synuclein aggregates in vitro. I then applied the SAVE method to the cerebral spinal fluid (CSF) of a cohort of AD patients and control CSF and observed no clear difference in aggregate number. However, these experiments provided insights into how antibodies bind the aggregates in human CSF. I could show, that despite altering the Ca2+ influx into both cells and vesicles, the antibody did not measurably affect the aggregate structure. To study the size specific effects of the Amyloid β 42 (Aβ42) peptide in more detail, I used and optimised gradient ultracentrifugation combined with single aggregate imaging to study the structural properties of the isolated aggregates. This aggregation kinetic independent method allowed me to compare the properties of fluorescently labelled and unlabelled Aβ42 and characterize the size dependent properties of aggregates in a single experiment. Since I could measure the relative concentration of different size aggregates it was also possible to compare the properties of single aggregates of different sizes. I then used biological assays to examine the ability of aggregates to permeabilise membranes resulting in the entry of calcium ions, and their ability to induce TNFα production in microglia cells. Both processes are thought to play key roles in the development of AD. I found that small soluble oligomers are most potent at inducing Ca2+ influx, whereas longer protofilaments are the most potent inducers of TNFα production. My results suggest that the mechanism by which aggregates damage cells changes as aggregation proceeds, as longer aggregates with different structures are formed. Protofilaments with a diameter of 1 nm or less have a structure that could make them particularly potent at causing the signalling of toll-like receptors, providing a molecular basis for their ability to induce TNFα production.

<p>lmmunocompromised, burned, and cystic fibrosis patients are highly susceptible to severe and chronic <em>Pseudomonas</em> infections. Extracellular virulence factors, such as type IV pili (T4P), contribute to the establishment and maintenance of infection in these hosts. T4P are hairlike appendages involved in attachment to and colonization of biotic and abiotic surfaces, DNA uptake, biofilm formation, virulence and twitching motility. In<em> Pseudomonas aeruginosa</em>, the pilus fibre-primarily composed of PilA-is directed by the inner membrane subcomplex PilM/N/O/P to PilQ, the secretin pore. FimV is an inner membrane protein that contains a periplasmic region that binds peptidoglycan and a cytoplasmic region containing tetratricopeptide repeat (TPR) protein-protein interaction domains. FimV is essential for twitching motility in <em>P. aeruginosa</em>, but its exact function is not well understood. Here we investigate the role of the cytoplasmic region of FimV in the T4P system. Co-purification studies revealed that PilM and PilG, a protein proposed to be involved in T4P chemotaxis, interact with the cytoplasmic region of FimV. Fluoresence microscopy was used to test the role of FimV in the localization of a functional PilG-YFP fusion. In the wild type, PilG is polarly localized, while in a <em>fimV</em> mutant, PilG becomes diffuse. The interactions between FimV with PilG and PilM may play a pivotal role in twitching motility as <em>fimV</em> mutants lacking the cytoplasmic region are incapable of twitching. In this study, we have shown that FimV is interacting with components of the T4P chemotaxis system, which may be important for cAMP regulation.</p> / Master of Science (MSc)

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