Les règles d’un quart et un vingtième et des comptes de Flandre comme modélisation du réel

La Maison de l’Inde et le comptoir de Flandre sont à l’origine de règles spécifiques dont on ne trouve pas d’équivalent dans les traités d’arithmétique des autres pays. La règle d’un quart et un vingtième correspond à un prélèvement d’un quart plus un vingtième des trois quarts restants, c'est-à-dire 1/4+1/20×3/4=23/80 de la quantité initiale. La règle des comptes de Flandre correspond à une formule de conversion. Dans cette session, nous proposons une introduction à ces règles spécifiques du commerce des épices au Portugal à l'époque de la Renaissance, en tenant compte de l'interaction entre les Mathématiques, l'Histoire et l'introduction de la mentalité quantitative pour la modélisation du réel.

Synthesis of new Aβ-ligands useful in diagnosis of Alzheimer's disease

Alzheimer’s disease is a chronic progressive neurodegenerative disease and is the most common form of dementia (estimated 50−60% of all cases), associated with loss of memory (in particular episodic memory), cognitive decline, and behavioural and physical disability, ultimately leading to death. Alzheimer’s disease is a complex disease, mostly occurring sporadically with no apparent inheritance and being the age the main risk factor. The production and accumulation of amyloid-beta peptide in the central nervous system is a key event in the development of Alzheimer’s disease. This project is devoted to the synthesis of amyloid-beta ligands, fluorophores and blood brain barrier-transporters for diagnosis and therapy of Alzheimer’s disease. Different amyloid-beta ligands will be synthesized and their ability to interact with amyloid-beta plaques will be studied with nuclear magnetic resonance techniques and a process of lead optimization will be performed. Many natural and synthetic compounds able to interact as amyloid-beta ligands have been identified. Among them, a set of small molecules in which aromatic moieties seem to play a key role to inhibit amyloid-beta aggregation, in particular heteroaromatic polycyclic compounds such as tetracyclines. Nevertheless tetracyclines suffer from chemical instability, low water solubility and possess, in this contest, undesired anti-bacterial activity. In order to overcome these limitations, one of our goals is to synthesize tetracyclines analogues bearing a polycyclic structure with improved chemical stability and water solubility, possibly lacking antibacterial activity but conserving the ability to interact with amyloid-beta peptides. Known tetracyclines have in common a fourth cycle without an aromatic character and with different functionalisations. We aim to synthesize derivatives in which this cycle is represented by a sugar moiety, thus bearing different derivatisable positions or create derivatives in which we will increase or decrease the number of fused rings. In order to generate a potential drug-tool candidate, these molecules should also possess the correct chemical-physical characteristics. The glycidic moiety, not being directly involved in the binding, it assures further possible derivatizations, such as conjugation to others molecular entities (nanoparticles, polymeric supports, etc.), and functionalization with chemical groups able to modulate the hydro/lipophilicity. In order to be useful such compounds should perform their action within the brain, therefore they have to be able to cross the blood brain barrier, and to be somehow detected for diagnostic purposes.

Metal-organic frameworks based on phosphonate linkers

During the last few decades, Metal-Organic Frameworks (MOFs), also known as Coordination Polymers, have attracted worldwide research attentions due to their incremented fascinating architectures and unique properties. These multidimensional materials have been potential applications in distinct areas: gas storage and separation, ion exchange, catalysis, magnetism, in optical sensors, among several others. The MOF research group at the University of Aveiro has prepared MOFs from the combination of phosphonate organic primary building units (PBUs) with, mainly, lanthanides. This thesis documents the last findings in this area involving the synthesis of multidimensional MOFs based on four di- or tripodal phosphonates ligands. The organic PBUs were designed and prepared by selecting and optimizing the best reaction conditions and synthetic routes. The self-assembly between phosphonate PBUs and rare-earths cations led to the formation of several 1D, 2D and 3D families of isotypical MOFs. The preparation of these materials was achieved by using distinct synthetic approaches: hydro(solvo)thermal, microwave- and ultrasound-assisted, one-pot and ionothermal synthesis. The selection of the organic PBUs showed to have an important role in the final architectures: while flexible phosphonate ligands afforded 1D, 2D and dense 3D structures, a large and rigid organic PBU isolated a porous 3D MOF. The crystal structure of these materials was successfully unveiled by powder or single-crystal X-ray diffraction. All multidimensional MOFs were characterized by standard solid-state techniques (FT-IR, electron microscopy (SEM and EDS), solid-state NMR, elemental and thermogravimetric analysis). Some MOF materials exhibited remarkable thermal stability and robustness up to ca. 400 ºC. The intrinsic properties of some MOFs were investigated. Photoluminescence studies revealed that the selected organic PBUs are suitable sensitizers of Tb3+ leading to the isolation of intense green-emitting materials. The suppression of the O−H quenchers by deuteration or dehydration processes improves substantially the photoluminescence of the optically-active Eu3+-based materials. Some MOF materials exhibited high heterogeneous catalytic activity and excellent regioselectivity in the ring-opening reaction of styrene oxide (PhEtO) with methanol (100% conversion of PhEtO at 55 ºC for 30 min). The porous MOF material was employed in gas separation processes. This compound showed the ability to separate propane over propylene. The ionexchanged form of this material (containing K+ cations into its network) exhibited higher affinity for CO2 being capable to separate acetylene over this environment non-friendly gas.

Ecological quality assessment in transitional systems

Estuaries are poles of attraction for human settlement which is a source of pressures to surface water bodies. The implementation of the European Water Framework Directive (WDF, 2000/60/EC) has increased the investigation in order to develop methodologies to assess the Ecological Quality Status (EQS) of aquatic ecosystems. Transitional systems are naturally stressed and characterized by highly dynamic physical, chemical and hydro-morphologic conditions and by species with a higher level of tolerance to change, being more difficult to develop suitable quality indicators for these systems. The general purpose of this study is to test the ability of synthesis descriptors, including primary (S, taxa richness) and derived biological variable (H’, Shannon-Wiener diversity), biotic indices (AMBI and M-AMBI), body size properties (abundance distribution by body size classes, length, weight and length-weight relationships) and non-taxonomic indices (ISS), as well as functional indicators related to the decomposition rates of various experimental substrates, a macrophyte (Phragmites australis) and an alga (Fucus vesiculosus), to evaluate the environmental quality in transitional systems. This study was carried out in one of the most pristine channels of the Ria the Aveiro, Mira Channel, along a full salinity gradient and in a metals and metalloid sediment contamination area, the Estarreja Channel, and two reference channels (Canelas and Salreu). In this study were used different sampling techniques, the leaf-bag technique and a hand-held corer. In Mira Channel, the alga and the macrophyte presented an opposite trend in the decomposition rate along the salinity gradient, with the decomposition rates of the alga always higher than those of the macrophyte. The decomposition rates of the macrophyte and the alga were higher in the mid estuary and in higher salinity areas, respectively, corresponding to the preferencial distribution areas of each species. The macrobenthic fauna associated with the decaying and an artificial substrate (control) showed equally well the benthic succession from the marine to the freshwater areas and, despite the strong differences in the decay rates, no significant differences were found between the benthic communities associated with the alga and the macrophyte. The body size properties of the macrobenthic fauna associated with the P. australis leaf-bag (1mm and 5mm) and corer samples were studied along the full salinity gradient. The dominant species of the sub-set of measured specimens were not the same of the original macrobenthic fauna sampled but, despite that, the sub-set of measured specimens was also able to show the benthic succession from the marine to the freshwater areas. The body size abundance distribution of the benthic macroinvertebrates according to the ISS size classes did not show a particular trend in any sampler along the salinity gradient. Significant differences were found in the length, weight and length-weight relationships of Annelids, , Molluscs and even some species along the salinity gradient. No significant differences were found in the AMBI, M-AMBI and ISS values along the salinity gradient for all the samplers. The EQS of the corer samples obtained using the M-AMBI was lower than that of the leaf-bags. The EQS obtained with the ISS was higher than that obtained with the M-AMBI in the leaf-bags but not in the corer samples. The ecological effects of contaminated sediments associated with the industrial chemical effluents discharged in the Estarreja Channel were studied a decade after ceasing the emissions, using the Sediment Quality Triad approach and two reference channels. The results showed that despite the emissions ceased in 2004, the sediment remains polluted with high levels of metals and metalloid, available to bioaccumulation and with severe consequences at the community level. The sediment contamination problem was also studied using the leaf-bag technique with a macrophyte, an alga and a control substrate. The results showed that the decay rates, the associated macrofauna and the application of the AMBI, M-AMBI and ISS indices to the mesh-bag samples were not able to identify the sediment contamination. Contrarily to the AMBI, the M-AMBI and the ISS showed significant differences between the contaminated and the reference channels for the corer samples. Although such statistical significance, the interest of using these complex biotic indices could be questioned, when much simple ones, like the S and H’ allow to reach the same conclusions.