Books on the topic 'Matrice 100'

Over the past decades, a great body of theoretical and mathematical work has been devoted to random-matrix descriptions of open quantum systems. This chapter reviews the physical origins and mathematical structures of the underlying models, and collects key predictions which give insight into the typical system behaviour. In particular, the aim is to give an idea how the different features are interlinked. The chapter mainly focuses on elastic scattering but also includes a short detour to interacting systems, which are motivated by the overarching question of ergodicity. The first sections introduce general notions from random matrix theory, such as the 10 universality classes and ensembles of Hermitian, unitary, positive-definite, and non-Hermitian matrices. The following sections then review microscopic scattering models that form the basis for statistical descriptions, and consider signatures of random scattering in decay, dynamics, and transport. The last section touches on Anderson localization and localization in interacting systems.

Although autogenous arteriovenous fistula creation is the gold-standard dialysis access, catheters represent between 40% and 60% of dialysis access in the United States. Catheters are placed for a variety of reasons, commonly as temporary access for acute renal failure or as a bridge to a more permanent access in patients with end-stage renal disease. Fibrin sheaths represent a heterogeneous matrix of cells and debris that form around catheters and are a known common cause of catheter failure and central venous stenosis. Their formation is ubiquitous in the dialysis population, occurring with 80–100% of catheters within 1 week of implantation. This chapter presents several techniques for the management of the fibrin sheath—the traditional catheter stripping technique, the internal catheter stripping technique, and the fibrin sheath angioplasty technique.

Calcium pyrophosphate (CPP) dihydrate crystals form extracellularly. Their formation requires sufficient extracellular inorganic pyrophosphate (ePPi), calcium, and pro-nucleating factors. As inorganic pyrophosphate (PPi) cannot cross cell membranes passively due to its large size, ePPi results either from hydrolysis of extracellular ATP by the enzyme ectonucleotide pyrophosphatase/phosphodiesterase 1 (also known as plasma cell membrane glycoprotein 1) or from the transcellular transport of PPi by ANKH. ePPi is hydrolyzed to phosphate (Pi) by tissue non-specific alkaline phosphatase. The level of extracellular PPi and Pi is tightly regulated by several interlinked feedback mechanisms and growth factors. The relative concentration of Pi and PPi determines whether CPP or hydroxyapatite crystal is formed, with low Pi/PPi ratio resulting in CPP crystal formation, while a high Pi/PPi ratio promotes basic calcium phosphate crystal formation. CPP crystals are deposited in the cartilage matrix (preferentially in the middle layer) or in areas of chondroid metaplasia. Hypertrophic chondrocytes and specific cartilage matrix changes (e.g. high levels of dermatan sulfate and S-100 protein) are related to CPP crystal deposition and growth. CPP crystals cause inflammation by engaging with the NALP3 inflammasome, and with other components of the innate immune system, and is marked with a prolonged neutrophilic inflitrate. The pathogenesis of resolution of CPP crystal-induced inflammation is not well understood.

El estudio de los territorios y las fronteras conduce de manera irremisible a hablar de estructuras configuradas históricamente en el largo tiempo. Este libro surge desde distintas miradas con la pretensión de incursionar en el campo del conocimiento sociohistórico e historiográfico mediante trabajos relacionados con Mesoamérica desde su inicial configuración prehispánica cultural y arqueológica hasta su dimensión histórica, pasando por diferentes etapas hasta llegar a la época contemporánea. Se presentan análisis de territorios cargados de representación simbólica principalmente a partir de las culturas originarias, a la vez que se consideran procesos de apropiación territorial enmarcados en las fronteras, en las que se encuentran ancladas añejas disputas que arrancan en la división político-administrativa de las antiguas colonias americanas; posteriormente, el periodo republicano surgido tras las independencias dio lugar a la invisibilización de los pueblos que presentaban matrices culturales diferentes, lo que condujo al establecimiento de relaciones de dominación de unos individuos sobre otros basadas en un pacto que definió una territorialidad y una soberanía propias. En cuanto al período contemporáneo, en este libro se ponen de relieve algunos acontecimientos ocurridos en el siglo XX y lo que va del siglo XXI que han trascendido las fronteras nacionales, como la incidencia de la política exterior estadounidense, la actuación de los organismos de seguridad y los grupos paramilitares en Guatemala y en México en lo que podría considerarse una contrainsurgencia regional, o la consideración de El Salvador como “la más extendida república pretoriana” de América Latina, que abrió el espacio para que los militares se mantuvieran desde 1931 hasta 1982.

The aim of this book is to discuss the transformation of the fabric of power in the kingdom of Italy in the period between the late eleventh century and the early twelfth century. The study analyses the major socio-political change of this period, the crisis of royal and public structures and the development of seigneurial powers, using as a standpoint the structures of power over men and land, and the discourses about the exercise of local power. The analysis is conducted over a broad geographical space (central and northern Italy), focusing on a few decades around year 1100, showing a sharp and relatively rapid reshaping of the structures of local power. The period appears as a phase of crisis and closure in the sphere of political discourses. The outbreak of civil wars in the 1080s (connected with the ‘investiture crisis’) imply a reconfiguration of the matrix of power, in turn expressed in a transformation both of the instruments of local political communications and of the practices of power. The reshaping of documentary landscape mirrors the transformation of socio-political landscape: the fragmentation of power and the importance of local frameworks goes hand in hand with a forceful investment by political actors in legitimizing discourses, which find their reference point within these localized setups. Legitimization is sought not through the relationship with the kingdom, but rather through the relations with peers and subjects. From this perspective the Italian case can offer fresh insights into the problematique of ‘feudal revolution’ in European countrysides.

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.

Understanding pathogenic mechanism in disease is critical for development of targeted therapeutic strategies. Although there are, at this time, only a handful of experimental approaches for treating osteoarthritis (OA), until 10 years ago this disease was almost universally considered an unmodifiable condition. Emerging data during this time, largely fuelled by studies in rodent models, has completely changed the paradigm of disease pathogenesis and has for the first time, generated novel, realistic targets for this highly prevalent and disabling condition. These targets include the aggrecanases, members of the ADAMTS family, and collagenases, which together are critical for the early breakdown of the extracellular matrix of cartilage. Some recent success has also been demonstrated by targeting bone in disease. Development of pain in OA is complex and likely arises from different tissues at different stages of disease. In the following section we describe the pathological features of OA, and discuss the evolution of theories of OA pathogenesis and factors that have limited mechanistic clarity in this disease. We summarize the molecular pathways that are now known to be active in disease, and consider how these identified molecular pathways could be linked to known epidemiological risk factors. We finish by discussing possible future therapeutic strategies that will emerge from these discoveries and the current limitations in implementing new therapies in OA.

This abstract booklet includes the abstracts of the papers that have been presented at International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020) which is held in Ankara Hacı Bayram Veli University, Ankara, Turkey between 9-10 July, 2020, via Online because of Covid 19 pandemia. The aim of this conference is to exchange ideas, discuss developments in mathematics, develop collaborations and interact with professionals and researchers from all over the world in with some of the following interesting topics: Functional Analysis, Approximation Theory, Real Analysis, Complex Analysis, Harmonic and non-Harmonic Analysis, Applied Analysis, Numerical Analysis, Geometry, Topology and Algebra, Modern Methods in Summability and Approximation, Operator Theory, Fixed Point Theory and Applications, Sequence Spaces and Matrix Transformation, Modern Methods in Summability and Approximation, Spectral Theory and Diferantial Operators, Boundary Value Problems, Ordinary and Partial Differential Equations, Discontinuous Differential Equations, Convex Analysis and its Applications, Optimization and its Application, Mathematics Education, Application on Variable Exponent Lebesgue Spaces, Applications on Differential Equations and Partial Differential Equations, Fourier Analysis, Wavelet and Harmonic Analysis Methods in Function Spaces, Applications on Computer Engineering, Flow Dynamics. However, the talks are not restricted to these subjects only. I am pleased to tell that this conference is also organized as a final multiplier event of the Rules_Math Project, supported by the EU.

Influenza is a highly infectious, acute illness which has affected humans and animals since ancient times. Influenza viruses form the Orthomyxoviridae family and are grouped into types A, B, and C on the basis of the antigenic nature of the internal nucleocapsid or the matrix protein. Infl uenza A viruses infect a large variety of animal species, including humans, pigs, horses, sea mammals, and birds, occasionally producing devastating pandemics in humans, such as in 1918 when it has been estimated that between 50–100 million deaths occurred worldwide.There are two important viral surface glycoproteins, the haemagglutinin (HA) and neuraminidase (NA). The HA binds to sialic acid receptors on the membrane of host cells and is the primary antigen against which a host’s antibody response is targeted. The NA cleaves the sialic acid bond attaching new viral particles to the cell membrane of host cells allowing their release. The NA is also the target of the neuraminidase inhibitor class of antiviral agents that include oseltamivir and zanamivir and newer agents such as peramivir. Both these glycoproteins are important antigens for inducing protective immunity in the host and therefore show the greatest variation.Influenza A viruses are classified into 16 antigenically distinct HA (H1–16) and 9 NA subtypes (N1–9). Although viruses of relatively few subtype combinations have been isolated from mammalian species, all subtypes, in most combinations, have been isolated from birds. Each virus possesses one HA and one NA subtype.Last century, the sudden emergence of antigenically different strains in humans, termed antigenic shift, occurred on three occasions, 1918 (H1N1), 1957 (H2N2) and 1968 (H3N2), resulting in pandemics. The frequent epidemics that occur between the pandemics are as a result of gradual antigenic change in the prevalent virus, termed antigenic drift. Epidemics throughout the world occur in the human population due to infection with influenza A viruses, such as H1N1 and H3N2 subtypes, or with influenza B virus. Phylogenetic studies have led to the suggestion that aquatic birds that show no signs of disease could be the source of many influenza A viruses in other species. The 1918 H1N1 pandemic strain is thought to have arisen as a result of spontaneous mutations within an avian H1N1 virus. However, most pandemic strains, such as the 1957 H2N2, 1968 H3N2 and 2009 pandemic H1N1, are considered to have emerged by genetic re-assortment of the segmented RNA genome of the virus, with the avian and human influenza A viruses infecting the same host.Influenza viruses do not pass readily between humans and birds but transmission between humans and other animals has been demonstrated. This has led to the suggestion that the proposed reassortment of human and avian influenza viruses takes place in an intermediate animal with subsequent infection of the human population. Pigs have been considered the leading contender for the role of intermediary because they may serve as hosts for productive infections of both avian and human viruses, and there is good evidence that they have been involved in interspecies transmission of influenza viruses; particularly the spread of H1N1 viruses to humans. Apart from public health measures related to the rapid identification of cases and isolation. The main control measures for influenza virus infections in human populations involves immunization and antiviral prophylaxis or treatment.

Bones are multifunctional passive organs of movement that supports soft tissue and directly attached muscles. They also protect internal organs and are a reserve of calcium, phosphorus and magnesium. Each bone is covered with periosteum, and the adjacent bone surfaces are covered by articular cartilage. Histologically, the bone is an organ composed of many different tissues. The main component is bone tissue (cortical and spongy) composed of a set of bone cells and intercellular substance (mineral and organic), it also contains fat, hematopoietic (bone marrow) and cartilaginous tissue. Bones are a tissue that even in adult life retains the ability to change shape and structure depending on changes in their mechanical and hormonal environment, as well as self-renewal and repair capabilities. This process is called bone turnover. The basic processes of bone turnover are: • bone modeling (incessantly changes in bone shape during individual growth) following resorption and tissue formation at various locations (e.g. bone marrow formation) to increase mass and skeletal morphology. This process occurs in the bones of growing individuals and stops after reaching puberty • bone remodeling (processes involve in maintaining bone tissue by resorbing and replacing old bone tissue with new tissue in the same place, e.g. repairing micro fractures). It is a process involving the removal and internal remodeling of existing bone and is responsible for maintaining tissue mass and architecture of mature bones. Bone turnover is regulated by two types of transformation: • osteoclastogenesis, i.e. formation of cells responsible for bone resorption • osteoblastogenesis, i.e. formation of cells responsible for bone formation (bone matrix synthesis and mineralization) Bone maturity can be defined as the completion of basic structural development and mineralization leading to maximum mass and optimal mechanical strength. The highest rate of increase in pig bone mass is observed in the first twelve weeks after birth. This period of growth is considered crucial for optimizing the growth of the skeleton of pigs, because the degree of bone mineralization in later life stages (adulthood) depends largely on the amount of bone minerals accumulated in the early stages of their growth. The development of the technique allows to determine the condition of the skeletal system (or individual bones) in living animals by methods used in human medicine, or after their slaughter. For in vivo determination of bone properties, Abstract 10 double energy X-ray absorptiometry or computed tomography scanning techniques are used. Both methods allow the quantification of mineral content and bone mineral density. The most important property from a practical point of view is the bone’s bending strength, which is directly determined by the maximum bending force. The most important factors affecting bone strength are: • age (growth period), • gender and the associated hormonal balance, • genotype and modification of genes responsible for bone growth • chemical composition of the body (protein and fat content, and the proportion between these components), • physical activity and related bone load, • nutritional factors: – protein intake influencing synthesis of organic matrix of bone, – content of minerals in the feed (CA, P, Zn, Ca/P, Mg, Mn, Na, Cl, K, Cu ratio) influencing synthesis of the inorganic matrix of bone, – mineral/protein ratio in the diet (Ca/protein, P/protein, Zn/protein) – feed energy concentration, – energy source (content of saturated fatty acids - SFA, content of polyun saturated fatty acids - PUFA, in particular ALA, EPA, DPA, DHA), – feed additives, in particular: enzymes (e.g. phytase releasing of minerals bounded in phytin complexes), probiotics and prebiotics (e.g. inulin improving the function of the digestive tract by increasing absorption of nutrients), – vitamin content that regulate metabolism and biochemical changes occurring in bone tissue (e.g. vitamin D3, B6, C and K). This study was based on the results of research experiments from available literature, and studies on growing pigs carried out at the Kielanowski Institute of Animal Physiology and Nutrition, Polish Academy of Sciences. The tests were performed in total on 300 pigs of Duroc, Pietrain, Puławska breeds, line 990 and hybrids (Great White × Duroc, Great White × Landrace), PIC pigs, slaughtered at different body weight during the growth period from 15 to 130 kg. Bones for biomechanical tests were collected after slaughter from each pig. Their length, mass and volume were determined. Based on these measurements, the specific weight (density, g/cm3) was calculated. Then each bone was cut in the middle of the shaft and the outer and inner diameters were measured both horizontally and vertically. Based on these measurements, the following indicators were calculated: • cortical thickness, • cortical surface, • cortical index. Abstract 11 Bone strength was tested by a three-point bending test. The obtained data enabled the determination of: • bending force (the magnitude of the maximum force at which disintegration and disruption of bone structure occurs), • strength (the amount of maximum force needed to break/crack of bone), • stiffness (quotient of the force acting on the bone and the amount of displacement occurring under the influence of this force). Investigation of changes in physical and biomechanical features of bones during growth was performed on pigs of the synthetic 990 line growing from 15 to 130 kg body weight. The animals were slaughtered successively at a body weight of 15, 30, 40, 50, 70, 90, 110 and 130 kg. After slaughter, the following bones were separated from the right half-carcass: humerus, 3rd and 4th metatarsal bone, femur, tibia and fibula as well as 3rd and 4th metatarsal bone. The features of bones were determined using methods described in the methodology. Describing bone growth with the Gompertz equation, it was found that the earliest slowdown of bone growth curve was observed for metacarpal and metatarsal bones. This means that these bones matured the most quickly. The established data also indicate that the rib is the slowest maturing bone. The femur, humerus, tibia and fibula were between the values of these features for the metatarsal, metacarpal and rib bones. The rate of increase in bone mass and length differed significantly between the examined bones, but in all cases it was lower (coefficient b <1) than the growth rate of the whole body of the animal. The fastest growth rate was estimated for the rib mass (coefficient b = 0.93). Among the long bones, the humerus (coefficient b = 0.81) was characterized by the fastest rate of weight gain, however femur the smallest (coefficient b = 0.71). The lowest rate of bone mass increase was observed in the foot bones, with the metacarpal bones having a slightly higher value of coefficient b than the metatarsal bones (0.67 vs 0.62). The third bone had a lower growth rate than the fourth bone, regardless of whether they were metatarsal or metacarpal. The value of the bending force increased as the animals grew. Regardless of the growth point tested, the highest values were observed for the humerus, tibia and femur, smaller for the metatarsal and metacarpal bone, and the lowest for the fibula and rib. The rate of change in the value of this indicator increased at a similar rate as the body weight changes of the animals in the case of the fibula and the fourth metacarpal bone (b value = 0.98), and more slowly in the case of the metatarsal bone, the third metacarpal bone, and the tibia bone (values of the b ratio 0.81–0.85), and the slowest femur, humerus and rib (value of b = 0.60–0.66). Bone stiffness increased as animals grew. Regardless of the growth point tested, the highest values were observed for the humerus, tibia and femur, smaller for the metatarsal and metacarpal bone, and the lowest for the fibula and rib. Abstract 12 The rate of change in the value of this indicator changed at a faster rate than the increase in weight of pigs in the case of metacarpal and metatarsal bones (coefficient b = 1.01–1.22), slightly slower in the case of fibula (coefficient b = 0.92), definitely slower in the case of the tibia (b = 0.73), ribs (b = 0.66), femur (b = 0.59) and humerus (b = 0.50). Bone strength increased as animals grew. Regardless of the growth point tested, bone strength was as follows femur > tibia > humerus > 4 metacarpal> 3 metacarpal> 3 metatarsal > 4 metatarsal > rib> fibula. The rate of increase in strength of all examined bones was greater than the rate of weight gain of pigs (value of the coefficient b = 2.04–3.26). As the animals grew, the bone density increased. However, the growth rate of this indicator for the majority of bones was slower than the rate of weight gain (the value of the coefficient b ranged from 0.37 – humerus to 0.84 – fibula). The exception was the rib, whose density increased at a similar pace increasing the body weight of animals (value of the coefficient b = 0.97). The study on the influence of the breed and the feeding intensity on bone characteristics (physical and biomechanical) was performed on pigs of the breeds Duroc, Pietrain, and synthetic 990 during a growth period of 15 to 70 kg body weight. Animals were fed ad libitum or dosed system. After slaughter at a body weight of 70 kg, three bones were taken from the right half-carcass: femur, three metatarsal, and three metacarpal and subjected to the determinations described in the methodology. The weight of bones of animals fed aa libitum was significantly lower than in pigs fed restrictively All bones of Duroc breed were significantly heavier and longer than Pietrain and 990 pig bones. The average values of bending force for the examined bones took the following order: III metatarsal bone (63.5 kg) <III metacarpal bone (77.9 kg) <femur (271.5 kg). The feeding system and breed of pigs had no significant effect on the value of this indicator. The average values of the bones strength took the following order: III metatarsal bone (92.6 kg) <III metacarpal (107.2 kg) <femur (353.1 kg). Feeding intensity and breed of animals had no significant effect on the value of this feature of the bones tested. The average bone density took the following order: femur (1.23 g/cm3) <III metatarsal bone (1.26 g/cm3) <III metacarpal bone (1.34 g / cm3). The density of bones of animals fed aa libitum was higher (P<0.01) than in animals fed with a dosing system. The density of examined bones within the breeds took the following order: Pietrain race> line 990> Duroc race. The differences between the “extreme” breeds were: 7.2% (III metatarsal bone), 8.3% (III metacarpal bone), 8.4% (femur). Abstract 13 The average bone stiffness took the following order: III metatarsal bone (35.1 kg/mm) <III metacarpus (41.5 kg/mm) <femur (60.5 kg/mm). This indicator did not differ between the groups of pigs fed at different intensity, except for the metacarpal bone, which was more stiffer in pigs fed aa libitum (P<0.05). The femur of animals fed ad libitum showed a tendency (P<0.09) to be more stiffer and a force of 4.5 kg required for its displacement by 1 mm. Breed differences in stiffness were found for the femur (P <0.05) and III metacarpal bone (P <0.05). For femur, the highest value of this indicator was found in Pietrain pigs (64.5 kg/mm), lower in pigs of 990 line (61.6 kg/mm) and the lowest in Duroc pigs (55.3 kg/mm). In turn, the 3rd metacarpal bone of Duroc and Pietrain pigs had similar stiffness (39.0 and 40.0 kg/mm respectively) and was smaller than that of line 990 pigs (45.4 kg/mm). The thickness of the cortical bone layer took the following order: III metatarsal bone (2.25 mm) <III metacarpal bone (2.41 mm) <femur (5.12 mm). The feeding system did not affect this indicator. Breed differences (P <0.05) for this trait were found only for the femur bone: Duroc (5.42 mm)> line 990 (5.13 mm)> Pietrain (4.81 mm). The cross sectional area of the examined bones was arranged in the following order: III metatarsal bone (84 mm2) <III metacarpal bone (90 mm2) <femur (286 mm2). The feeding system had no effect on the value of this bone trait, with the exception of the femur, which in animals fed the dosing system was 4.7% higher (P<0.05) than in pigs fed ad libitum. Breed differences (P<0.01) in the coross sectional area were found only in femur and III metatarsal bone. The value of this indicator was the highest in Duroc pigs, lower in 990 animals and the lowest in Pietrain pigs. The cortical index of individual bones was in the following order: III metatarsal bone (31.86) <III metacarpal bone (33.86) <femur (44.75). However, its value did not significantly depend on the intensity of feeding or the breed of pigs.