A deformation model of flexible, high area-to-mass ratio debris under perturbations and validation method

A new type of space debris was recently discovered by Schildknecht in near -geosynchronous orbit (GEO). These objects were later identified as exhibiting properties associated with High Area-to-Mass ratio (HAMR) objects. According to their brightness magnitudes (light curve), high rotation rates and composition properties (albedo, amount of specular and diffuse reflection, colour, etc), it is thought that these objects are multilayer insulation (MLI). Observations have shown that this debris type is very sensitive to environmental disturbances, particularly solar radiation pressure, due to the fact that their shapes are easily deformed leading to changes in the Area-to-Mass ratio (AMR) over time. This thesis proposes a simple effective flexible model of the thin, deformable membrane with two different methods. Firstly, this debris is modelled with Finite Element Analysis (FEA) by using Bernoulli-Euler theory called “Bernoulli model”. The Bernoulli model is constructed with beam elements consisting 2 nodes and each node has six degrees of freedom (DoF). The mass of membrane is distributed in beam elements. Secondly, the debris based on multibody dynamics theory call “Multibody model” is modelled as a series of lump masses, connected through flexible joints, representing the flexibility of the membrane itself. The mass of the membrane, albeit low, is taken into account with lump masses in the joints. The dynamic equations for the masses, including the constraints defined by the connecting rigid rod, are derived using fundamental Newtonian mechanics. The physical properties of both flexible models required by the models (membrane density, reflectivity, composition, etc.), are assumed to be those of multilayer insulation. Both flexible membrane models are then propagated together with classical orbital and attitude equations of motion near GEO region to predict the orbital evolution under the perturbations of solar radiation pressure, Earth’s gravity field, luni-solar gravitational fields and self-shadowing effect. These results are then compared to two rigid body models (cannonball and flat rigid plate). In this investigation, when comparing with a rigid model, the evolutions of orbital elements of the flexible models indicate the difference of inclination and secular eccentricity evolutions, rapid irregular attitude motion and unstable cross-section area due to a deformation over time. Then, the Monte Carlo simulations by varying initial attitude dynamics and deformed angle are investigated and compared with rigid models over 100 days. As the results of the simulations, the different initial conditions provide unique orbital motions, which is significantly different in term of orbital motions of both rigid models. Furthermore, this thesis presents a methodology to determine the material dynamic properties of thin membranes and validates the deformation of the multibody model with real MLI materials. Experiments are performed in a high vacuum chamber (10-4 mbar) replicating space environment. A thin membrane is hinged at one end but free at the other. The free motion experiment, the first experiment, is a free vibration test to determine the damping coefficient and natural frequency of the thin membrane. In this test, the membrane is allowed to fall freely in the chamber with the motion tracked and captured through high velocity video frames. A Kalman filter technique is implemented in the tracking algorithm to reduce noise and increase the tracking accuracy of the oscillating motion. The forced motion experiment, the last test, is performed to determine the deformation characteristics of the object. A high power spotlight (500-2000W) is used to illuminate the MLI and the displacements are measured by means of a high resolution laser sensor. Finite Element Analysis (FEA) and multibody dynamics of the experimental setups are used for the validation of the flexible model by comparing with the experimental results of displacements and natural frequencies.

Myeloid precursors, osteoclastogenesis, and Spondyloarthropathies

Spondyloarthropathies (or Spondyloarthritides; SpAs) are a group of heterogeneous but genetically related inflammatory disorders in which ankylosing spondylitis (AS) is considered the prototypic form. Among the genes associated with AS, HLA-B27 allele has the strongest association although the cause is still not clear. Rats transgenic for the human HLA-B27 gene (B27 rats) develop a systemic inflammation mirroring the human SpA symptoms and thus provide a useful model to study the contribution of this MHC class I molecule in the disease development. Of particular interest was the observation of absence of arthritis in B27 rats grown in germ-free conditions and a recent theory suggests that microbial dysbiosis and gut inflammation might play a key role in initiating the HLA-B27-associated diseases. Studies in our laboratory have previously demonstrated that HLA-B27 expression alters the development of the myeloid compartment within the bone marrow (BM) in B27 rat and causes loss of a specific dendritic cell (DC) population involved in self-tolerance mechanisms within the gut. The aim of this thesis was to further analyse the myeloid compartment in B27 rats with a particular focus on the osteoclast progenitors and the bone phenotype and to link this to the gut inflammation. In addition, translational studies analysed peripheral monocyte/pre-osteoclasts in AS patients and teased apart the role of cytokines in in vitro human osteoclast differentiation. To understand the dynamics of the myeloid/monocyte compartment within the B27-associated inflammation, monocytes within the bloodstream and BM of B27 rats were characterised via flow cytometry and their ability to differentiate into osteoclast was assessed in vitro. Moreover, an antibiotic regime was used to reduce the B27 ileitis and to evaluate whether this could affect the migration, the phenotype, and the osteoclastogenic potential of B27 monocytes. B27 animals display a systemic and central increase of “inflammatory” CD43low MOs, which are the main contributors to osteoclastogenesis in vitro. Antibiotic treatment reduced ileitis and also reverted the B27 monocyte phenotype. This was also associated with the reduction of the previous described TNFα-enhancement of osteoclast differentiation from B27 BM precursors. These evidences support the idea that in genetically susceptible individuals inflammation in the gut might influence the myeloid compartment within the BM; in other terms, pre-emptively educate precursor cells to acquire specific phenotype end functions after being recruited into the tissue. This might explain the enhanced differentiation of osteoclast from B27 BM progenitors and thus the HLA-B27-associated bone loss. The data shown in this thesis suggest a link between the immunity within the gut and BM haematopoiesis. This provides an attractive and novel research prospective that could help not only to increase the understanding of the HLA-B27-associated aetiopathogenesis but also to unravel the cellular crosstalk that allows the mucosal immunity to program central cell differentiation. Human translational studies on monocyte subsets, cytokines and cytokine network in AS osteoclastogenesis evidenced altered osteoclast differentiation in the presence of IL-22 although no differences in the phenotype and functions of circulating CD14+ monocytes were observed. In addition, studies on the role of TNFα and TNFRs showed a dual role of this inflammatory cytokine in the human OC differentiation. In particular, the activation of TNFR1 in monocytes in early osteoclastogenesis inhibits OC differentiation while TNFα-biasing for TNFR2 on osteoclast precursors mediates the osteoclastogenic effect. Whether similar mechanisms are involved in the TNFα-mediated joint destruction in human rheumatic diseases needs further investigations. This could contribute to the development of novel and more specific anti-TNFα agents for the treatment of bone erosion. In conclusion, taken together my studies support the idea of a crosstalk between the periphery and the central system during the inflammatory response and provide new insights to the mechanisms behind the enhancement of osteoclastogenesis in B27-associated disorders.

Exploring redox-driven self-assembly of mixed metal polyoxometalates

How can we control the experimental conditions towards the isolation of specific structures? Why do particular architectures form? These are some challenging questions that synthetic chemists try to answer, specifically within polyoxometalate (POM) chemistry, where there is still much unknown regarding the synthesis of novel molecular structures in a controlled and predictive manner. This work covers a wide range of POM chemistry, exploring the redox self-assembly of polyoxometalate clusters, using both “one-pot”, flow and hydrothermal conditions. For this purpose, different vanadium, molybdenum and tungsten reagents, heteroatoms, inorganic salts and reducing agents have been used. The template effect of lone-pair containing pyramidal heteroatoms has been investigated. Efforts to synthesize new POM clusters displaying pyramidal heteroanions (XO32-, where X= S, Se, Te, P) are reported. The reaction of molybdenum with vanadium in the presence of XO32- heteroatoms is explored, showing how via the cation and experimental control it is possible to direct the self-assembly process and to isolate isostructural compounds. A series of four isostructural (two new, namely {Mo11V7P} and {Mo11V7Te} and two already known, namely {Mo11V7Se} and {Mo11V7S} disordered egg-shaped Polyoxometalates have been reported. The compounds were characterized by X-ray structural analysis, TGA, UV-Vis, FT-IR, Elemental and Flame Atomic Absorption Spectroscopy (FAAS) analysis and Inductively Coupled Plasma Optical Emission Spectroscopy (ICP-OES). Cyclic Voltammetry measurements have been carried out in all four compounds showing the effect of the ionic density of the heteroatom on the potential. High-Resolution ESI-MS studies have revealed that the structures retain their integrity in solution. Efforts to synthesize new mixed-metal compounds led to isolation, structural, and electronic characterization of the theoretically predicted, but experimentally elusive δ-isomer of the Keggin polyoxometalate cluster anion, {H2W4V9O33(C6H13NO3)}, by the reaction of tungstate(VI) and vanadium(V) with triethanolammonium ions (TEAH), acting as a tripodal ligand grafted to the surface of the cluster. Control experiments (in the absence of the organic compound) have proven that the tripodal ligand plays crucial role on the formation of the isomer. The six vanadium metal centres, which consist the upper part of the cluster, are bonded to the “capping” TEA tripodal ligand. This metal-ligand bonding directs and stabilises the formation of the final product. The δ-Keggin species was characterized by single-crystal X-ray diffraction, FT-IR, UV-vis, NMR and ESI-MS spectrometry. Electronic structure and structure-stability correlations were evaluated by means of DFT calculations. The compounds exhibited photochromic properties by undergoing single-crystal-to-single-crystal (SC-SC) transformations and changing colour under light. Non-conventional synthetic approaches are also used for the synthesis of the POM clusters comparing the classical “one-pot” reaction conditions and exploring the synthetic parameters of the synthesis of POM compounds. Reactions under hydrothermal and flow conditions, where single crystals that depend on the solubility of the minerals under hot water and high pressure can be synthesized, resulted in the isolation of two isostructural compounds, namely, {Mo12V3Te5}. The compound isolated from a continuous processing method, crystallizes in a hexagonal crystal system, forming a 2D porous plane net, while the compound isolated using hard experimental conditions (high temperature and pressure) crystallizes in monoclinic system, resulting in a different packing configuration. Utilizing these alternative synthetic approaches, the most kinetically and thermodynamically compounds would possibly be isolated. These compounds were characterised by single-crystal X-ray diffraction, FT-IR and UV-vis spectroscopy. Finally, the redox-controlled driven oscillatory template exchange between phosphate (P) and vanadate (V) anions enclosed in an {M18O54(XO4)2} cluster is further investigated using UV-vis spectroscopy as a function of reaction time, showed that more than six complete oscillations interconverting the capsule species present in solution from {P2M18} to {V2M18} were possible, provided that a sufficient concentration of the TEA reducing agent was present in solution. In an effort to investigate the periodicity of the exchange of the phosphate and vanadate anions, time dependent Uv-vis measurements were performed for a period at a range of 170-550 hours. Different experimental conditions were also applied in order to investigate the role of the reducing agent, as well as the effect of other experimental variables on the oscillatory system.