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The scope of this work is the theoretical and computational modeling of the interaction between a Newtonian fluid and a cellular biological medium attached on the surface of a vessel. First and foremost, an extensive and comprehensive review is presented with regard to the available approaches for modeling momentum transfer within cellular biological media, including single-scale-single-phase approaches, Biot's poroelasticity, mixture theory, upscaling methods and multiscale computational equation free methods. Thereafter, at the cellular biological medium level, a theoretical model is developed for the description of momentum transfer within a poroelastic biomaterial, taking into account the interaction between the extracellular fluid and the solid skeleton that consists of cells and extracellular matrix (ECM). A continuum based formulation of momentum transport in a fluid-solid system at the finer spatial scale is used as starting point, and then the method of local spatial averaging with a weight function is implemented in order to establish the partial differential equations that describe the dynamics of fluid flow and matrix deformation at the coarser (macroscopic) spatial scale. In the special case of a homogeneous medium and under certain other conditions, the derived equations become similar to those which are postulated in the theory of interacting continua (mixture theory) and Biot's theory of poroelasticity. At the vessel level, the contribution of this work is twofold. First, a benchmark problem is developed for the validation of numerical methods used to solve problems that involve interactions between a fluid and a poroelastic material. Specifically, an analytical solution is developed for the problem of plane Couette-Poiseuille flow past a poroelastic layer. Second, a computational study is performed for plane Poiseuille flow past and through a semi-elliptical poroelastic biomaterial, which is attached to the surface of a straight vessel. Fluid flow in the clear fluid region is described by the Navier-Stokes equations, and momentum transfer within the biomaterial is described by the upscaled biphasic equations established in this work. The effect of the Reynolds and Darcy number that characterize the flow past and through the biomaterial, respectively, is investigated for obstacles with different configuration with respect to flow (semicircle, oblate semi-ellipse, prolate semi-ellipse). The distribution of the von Mises stress within the biomaterial is determined and, also, the drag and lift forces exerted by the fluid on the biomaterial are calculated. / Στόχος της παρούσας εργασίας είναι η θεωρητική και υπολογιστική μοντελοποίηση της αλληλεπίδρασης μεταξύ ενός Νευτώνειου ρευστού και ενός κυτταρικού βιολογικού υλικού το οποίο βρίσκεται προσκολημμένο στην επιφάνεια ενός αγγείου. Αρχικά παρουσιάζεται μια εκτεταμένη και περιεκτική ανασκόπηση των διαθέσιμων προσεγγίσεων για τη μοντελοποίηση της μεταφοράς ορμής σε κυτταρικά βιολογικά υλικά, συμπεριλαμβανομένων των προσεγγίσεων μιας κλίμακας και μιας φάσης, της θεωρίας ποροελαστικότητας του Biot, της θεωρίας αλληλεπιδρώντων συνεχών, των τεχνικών αλλαγής κλίμακας προς τα άνω, και τέλος, των υπολογιστικών τεχνικών πολλαπλών κλιμάκων χωρις τον ορισμό καταστατικών εξισώσεων. Στην συνέχεια, στο επίπεδο του κυτταρικού βιολογικού υλικού, αναπτύσεται ένα θεωρητικό μοντέλο για την περιγραφή της μεταφοράς ορμής εντός ενός ποροελαστικού υλικού, λαμβάνοντας υπόψη την αλληλεπίδραση μεταξύ του εξωκυτταρικού ρευστού και της στερεής μήτρας που αποτελείται από τα κύτταρα και το δίκτυο εξωκυτταρικών πολυμερών. Ως σημείο εκκίνησης στην μικρότερη κλίμακα παρατήρησης, χρησιμοποιείται μια περιγραφή της μεταφοράς ορμής που βασίζεται σε ένα συνεχές μοντέλο και έπειτα εφαρμόζεται η μέθοδος χωρικής στάθμισης μέσω συνάρτησης βάρους προκειμένου να εξαχθούν οι μερικές διαφορικές εξισώσεις που περιγράφουν την δυναμική της ροής του εξωκυτταρικού ρευστού και της παραμόρφωσης της στερεής μήτρας στην μακροσκοπική κλίμακα. Για την ειδική περίπτωση ενός ομογενούς μέσου και υπό την ισχύ ορισμένων πρόσθετων συνθηκών, οι εξαχθείσες εξισώσεις λαμβάνουν μορφή παρόμοια με αυτή των αντίστοιχων εξισώσεων οι οποίες ισχύουν στην θεωρία αλληλεπιδρώντων συνεχών καθώς και στην θεωρία ποροελαστικότητας του Biot. Στο επίπεδο του αγγείου, η συνεισφορά της παρούσας εργασίας λαμβάνει χώρα σε δύο άξονες. Κατά πρώτον, αναπτύσσεται ένα πρότυπο πρόβλημα το οποίο μπορεί να χρησιμεύσει για την επαλήθευση αριθμητικών μεθόδων που χρησιμοποιούνται για την επίλυση προβλημάτων στα οποία ενέχεται η αλληλεπίδραση ενός ρευστού με ένα ποροελαστικό υλικό. Συγκεκριμένα, εξάγεται μια αναλυτική λύση σε κλειστή μορφή για το πρόβλημα της επίπεδης ροής Couette-Poiseuille μέσα και γύρω από ένα ποροελαστικό στρώμα. Κατά δεύτερον, διεξάγεται μια υπολογιστική μελέτη της επίπεδης ροής Poiseuille μέσα και γύρω από ένα ημιελλειπτικό ποροελαστικό βιολογικό υλικό, το οποίο βρίσκεται προσκολημμένο στην επιφάνεια ενός ευθύγραμμου αγγείου. Στην περιοχή καθαρού ρευστού, η ροή περιγράφεται από τις εξισώσεις Navier-Stokes , ενώ η μεταφορά ορμής εντός του βιολογικού υλικού περιγράφεται με τις εξισώσεις που εξήχθησαν σε αυτή την εργασία μέσω της μεθόδου χωρικής στάθμισης. Η επίδραση των αριθμών Reynolds και Darcy, οι οποίοι χαρακτηρίζουν τη ροή γύρω και μέσα από το βιολογικό υλικό αντίστοιχα, διερευνάται για εμπόδια με διάφορες γωμετρικές διαμορφώσεις (ημικύκλιο, και ημιέλλειψη). Προσδιορίζεται η χωρική κατανομή της τάσης von Mises εντός του βιολογικού υλικού και, επιπρόσθετα, υπολογίζονται η οπισθέλκουσα και η ανυψωτική δύναμη που ασκούνται από το ρευστό στο υλικό.

Este estudo teve como objetivo avaliar e quantificar o efeito do sombreamento artificial proporcionado por diferentes tipos de materiais de cobertura sobre a fisiologia, o comportamento e o desenvolvimento de novilhas leiteiras, em ambiente de pastagens. A pesquisa foi realizada no período de 08/01/2007 à 30/04/2007. A área experimental foi dividida em 16 parcelas adjacentes e iguais com 84 m² cada. Foram comparados a testemunha (sem sombra) com três tipos de cobertura: telhas de fibrocimento sem cimento amianto, telhas galvanizadas e tela de polipropileno 80% As dimensões dos abrigos foram 2m x 4m e 4m de altura (4m² de sombra.animal-1), sem paredes laterais. Foram utilizadas 16 novilhas Holandesas e 16 Hol x Jersey com idade e peso iniciais de 17,2 ± 5,6 meses e 265,3 ± 66,9kg, respectivamente, pareadas em função da uniformidade de peso e idade. As novilhas permaneciam em piquetes de capim elefante (Penissetum purpureum) durante a noite e após as 9:00h eram conduzidas para as parcelas. A tgn foi registrada por minidatalogger conectado a globo negro para cálculo de CTR e ITGU em cada parcela. As variáveis meteorológicas foram obtidas no posto agrometeorológico da ESALQ/USP. Semanalmente foram registradas FR, TR e TP. As observações comportamentais foram realizadas em dias não consecutivos por 24 horas pelo método focal. As pesagens dos animais foram realizadas mensalmente. As condições ambientais durante o período da pesquisa foram caracterizadas como estressantes para novilhas. A análise física dos materiais (tgn, CTR e ITGU) indicou diferença entre os materiais de cobertura (P<0,05) sendo a telhas de fibrocimento sem amianto a mais confortável termicamente, seguida da telha galvanizada e da tela. Os valores de FR foram menores sob as telhas de fibrocimento (P<0,05) e semelhantes entre telha galvanizada e tela (P>0,05), os valores de TR não apresentaram diferença entre tratamentos somente entre horários e para a TP houve diferença (P<0,05) entre o tratamento fibrocimento e a testemunha, porém não houve entre os demais (P>0,05). A FR apresentou as respostas mais imediatas às alterações ambientais. Houve correlação da TR com a FR e a TP. Não foram observadas alterações comportamentais entre os tratamentos, os animais ficaram sob as sombras nas horas mais quentes do dia, preferencialmente em pé, o comportamento diário seguiu os padrões conhecidos para bovinos. O ganho de peso não foi alterado pelos tratamentos. A análise de custo indicou a cobertura de fibrocimento como a mais indicada para a construção de abrigos considerando-se os resultados encontrados. A pesquisa indicou haver melhora no bem estar térmico das novilhas, porém, não conseguiu determinar ganhos efetivos na utilização da sombra. / The objective of the present study was to evaluate and quantify the effect of artificial shade given by different types of roofing materials on the physiology, behavior and development of dairy heifers in a pasture environment. The present study took place from January 8, 2007 to April 30, 2007. The experimental area was divided into 16 equal, adjacent plots with 84 m2. Three roofing treatments (fiber-cement roofing tiles without amianthus, galvanized roofing tiles and 80% polypropylene screen) were compared to a control (no shade). Shelter structures had no lateral walls and measured 2m x 4m x 4m height (4m² shaded per animal). Animals consisted of 16 Holstein heifers and 16 Holstein x Jersey heifers with initial age and weight being 17.2 ± 5.6 months and 265.3 ± 66.9 kg, respectively. Animals were equally distributed among the treatments according to weight and age. At night, heifers were kept in fields with Pennisetum purpureum, also known as elephant grass. After 9:00 am, animals were taken to the experimental plots. Black globe thermometer temperature (tbg) was measured using a mini-datalogger connected to a black globe. Values were then used to calculate Radiant Thermic Load (RTL) and Black Globe Humidity Index (BGHI) of each plot. Meteorological variables were obtained from the agricultural-meteorological post at the ESALQ/USP. Respiration rate (RR), rectal temperature (RT) and skin temperature (ST) were registered weekly. Behavioral observations were recorded every other day using the focal method. Animals were weighed monthly. Environmental conditions during the research period were characterized as stressful for the heifers. Physical analysis of the material (tbg, RTL and BGHI) indicated the roofing treatments to be significantly different (P<0.05), with the fiber-cement roofing tiles without amianthus to be the most comfortable regarding temperature, followed by the galvanized roofing tiles and the 80% polypropylene screens. Respiration rate was lower under the fiber-cement roofing tiles (P<0.05) and similar under the galvanized tiles and polypropylene screen (P>0.05). RR values were lower under the fiber-cement tiles (P<0.05) and similar under the galvanized roofing tiles and polypropylene screen (P>0.05). There were no significant differences in RT values among treatments; however, a difference was found among data collection times. Concerning ST, fiber-cement tiles were significantly different from the control (P<0.05). On the other hand, there were no significant differences regarding ST among the other treatments (P>0.05). RR presented the most immediate response to environmental alterations. RT presented correlation with RR and ST. No behavioral alterations were observed among the treatments. Daily behavior followed known bovine patterns. Weight gain was not altered by the treatments. A cost analysis indicated fibercement roofing tiles to be better for shelter construction. The present study also indicated improved heifer thermal well-being; however, no effective gains could be determined from shade use.

This report will examine the problems and possibilities of building a luxurious modern residence in Pattaya, Thailand, incorporating the old traditional building styles of the wooden houses to an ecological house with a low demand for technology. The client, B. Grimm Group, has recently set up a polo club in the vicinity of Pattaya and has requested a complete set of layouts regarding a planned housing area on the premises. The project includes a structure plan of the village area, perspectives, facades, building layouts and axonometric views of all house types, as well as garden plans. The written report works as a complement to the designs and explains the background to the final proposal. The report also handles the building technology and construction process of building a traditional Thai house and briefly investigates the ecological aspects of building in Thailand.

<p>This report will examine the problems and possibilities of building a luxurious modern residence in Pattaya, Thailand, incorporating the old traditional building styles of the wooden houses to an ecological house with a low demand for technology.</p><p>The client, B. Grimm Group, has recently set up a polo club in the vicinity of Pattaya and has requested a complete set of layouts regarding a planned housing area on the premises. The project includes a structure plan of the village area, perspectives, facades, building layouts and axonometric views of all house types, as well as garden plans. The written report works as a complement to the designs and explains the background to the final proposal.</p><p>The report also handles the building technology and construction process of building a traditional Thai house and briefly investigates the ecological aspects of building in Thailand.</p>

Este estudo teve como objetivo avaliar e quantificar o efeito do sombreamento artificial proporcionado por diferentes tipos de materiais de cobertura sobre a fisiologia, o comportamento e o desenvolvimento de novilhas leiteiras, em ambiente de pastagens. A pesquisa foi realizada no período de 08/01/2007 à 30/04/2007. A área experimental foi dividida em 16 parcelas adjacentes e iguais com 84 m² cada. Foram comparados a testemunha (sem sombra) com três tipos de cobertura: telhas de fibrocimento sem cimento amianto, telhas galvanizadas e tela de polipropileno 80% As dimensões dos abrigos foram 2m x 4m e 4m de altura (4m² de sombra.animal-1), sem paredes laterais. Foram utilizadas 16 novilhas Holandesas e 16 Hol x Jersey com idade e peso iniciais de 17,2 ± 5,6 meses e 265,3 ± 66,9kg, respectivamente, pareadas em função da uniformidade de peso e idade. As novilhas permaneciam em piquetes de capim elefante (Penissetum purpureum) durante a noite e após as 9:00h eram conduzidas para as parcelas. A tgn foi registrada por minidatalogger conectado a globo negro para cálculo de CTR e ITGU em cada parcela. As variáveis meteorológicas foram obtidas no posto agrometeorológico da ESALQ/USP. Semanalmente foram registradas FR, TR e TP. As observações comportamentais foram realizadas em dias não consecutivos por 24 horas pelo método focal. As pesagens dos animais foram realizadas mensalmente. As condições ambientais durante o período da pesquisa foram caracterizadas como estressantes para novilhas. A análise física dos materiais (tgn, CTR e ITGU) indicou diferença entre os materiais de cobertura (P<0,05) sendo a telhas de fibrocimento sem amianto a mais confortável termicamente, seguida da telha galvanizada e da tela. Os valores de FR foram menores sob as telhas de fibrocimento (P<0,05) e semelhantes entre telha galvanizada e tela (P>0,05), os valores de TR não apresentaram diferença entre tratamentos somente entre horários e para a TP houve diferença (P<0,05) entre o tratamento fibrocimento e a testemunha, porém não houve entre os demais (P>0,05). A FR apresentou as respostas mais imediatas às alterações ambientais. Houve correlação da TR com a FR e a TP. Não foram observadas alterações comportamentais entre os tratamentos, os animais ficaram sob as sombras nas horas mais quentes do dia, preferencialmente em pé, o comportamento diário seguiu os padrões conhecidos para bovinos. O ganho de peso não foi alterado pelos tratamentos. A análise de custo indicou a cobertura de fibrocimento como a mais indicada para a construção de abrigos considerando-se os resultados encontrados. A pesquisa indicou haver melhora no bem estar térmico das novilhas, porém, não conseguiu determinar ganhos efetivos na utilização da sombra. / The objective of the present study was to evaluate and quantify the effect of artificial shade given by different types of roofing materials on the physiology, behavior and development of dairy heifers in a pasture environment. The present study took place from January 8, 2007 to April 30, 2007. The experimental area was divided into 16 equal, adjacent plots with 84 m2. Three roofing treatments (fiber-cement roofing tiles without amianthus, galvanized roofing tiles and 80% polypropylene screen) were compared to a control (no shade). Shelter structures had no lateral walls and measured 2m x 4m x 4m height (4m² shaded per animal). Animals consisted of 16 Holstein heifers and 16 Holstein x Jersey heifers with initial age and weight being 17.2 ± 5.6 months and 265.3 ± 66.9 kg, respectively. Animals were equally distributed among the treatments according to weight and age. At night, heifers were kept in fields with Pennisetum purpureum, also known as elephant grass. After 9:00 am, animals were taken to the experimental plots. Black globe thermometer temperature (tbg) was measured using a mini-datalogger connected to a black globe. Values were then used to calculate Radiant Thermic Load (RTL) and Black Globe Humidity Index (BGHI) of each plot. Meteorological variables were obtained from the agricultural-meteorological post at the ESALQ/USP. Respiration rate (RR), rectal temperature (RT) and skin temperature (ST) were registered weekly. Behavioral observations were recorded every other day using the focal method. Animals were weighed monthly. Environmental conditions during the research period were characterized as stressful for the heifers. Physical analysis of the material (tbg, RTL and BGHI) indicated the roofing treatments to be significantly different (P<0.05), with the fiber-cement roofing tiles without amianthus to be the most comfortable regarding temperature, followed by the galvanized roofing tiles and the 80% polypropylene screens. Respiration rate was lower under the fiber-cement roofing tiles (P<0.05) and similar under the galvanized tiles and polypropylene screen (P>0.05). RR values were lower under the fiber-cement tiles (P<0.05) and similar under the galvanized roofing tiles and polypropylene screen (P>0.05). There were no significant differences in RT values among treatments; however, a difference was found among data collection times. Concerning ST, fiber-cement tiles were significantly different from the control (P<0.05). On the other hand, there were no significant differences regarding ST among the other treatments (P>0.05). RR presented the most immediate response to environmental alterations. RT presented correlation with RR and ST. No behavioral alterations were observed among the treatments. Daily behavior followed known bovine patterns. Weight gain was not altered by the treatments. A cost analysis indicated fibercement roofing tiles to be better for shelter construction. The present study also indicated improved heifer thermal well-being; however, no effective gains could be determined from shade use.

We study Gaussian sample covariance matrices with population covariance a bounded-rank perturbation of the identity, as well as Wigner matrices with bounded-rank additive perturbations. The top eigenvalues are known to exhibit a phase transition in the large size limit: with weak perturbations they follow Tracy-Widom statistics as in the unperturbed case, while above a threshold there are outliers with independent Gaussian fluctuations. Baik, Ben Arous and Péché (2005) described the transition in the complex case and conjectured a similar picture in the real case, the latter of most relevance to high-dimensional data analysis. Resolving the conjecture, we prove that in all cases the top eigenvalues have a limit near the phase transition. Our starting point is the work of Rámirez, Rider and Virág (2006) on the general beta random matrix soft edge. For rank one perturbations, a modified tridiagonal form converges to the known random Schrödinger operator on the half-line but with a boundary condition that depends on the perturbation. For general finite-rank perturbations we develop a new band form; it converges to a limiting operator with matrix-valued potential. The low-lying eigenvalues describe the limit, jointly as the perturbation varies in a fixed subspace. Their laws are also characterized in terms of a diffusion related to Dyson's Brownian motion and in terms of a linear parabolic PDE. We offer a related heuristic for the supercritical behaviour and rigorously treat the supercritical asymptotics of the ground state of the limiting operator. In a further development, we use the PDE to make the first explicit connection between a general beta characterization and the celebrated Painlevé representations of Tracy and Widom (1993, 1996). In particular, for beta = 2,4 we give novel proofs of the latter. Finally, we report briefly on evidence suggesting that the PDE provides a stable, even efficient method for numerical evaluation of the Tracy-Widom distributions, their general beta analogues and the deformations discussed and introduced here. This thesis is based in part on work to be published jointly with Bálint Virág.

We study Gaussian sample covariance matrices with population covariance a bounded-rank perturbation of the identity, as well as Wigner matrices with bounded-rank additive perturbations. The top eigenvalues are known to exhibit a phase transition in the large size limit: with weak perturbations they follow Tracy-Widom statistics as in the unperturbed case, while above a threshold there are outliers with independent Gaussian fluctuations. Baik, Ben Arous and Péché (2005) described the transition in the complex case and conjectured a similar picture in the real case, the latter of most relevance to high-dimensional data analysis. Resolving the conjecture, we prove that in all cases the top eigenvalues have a limit near the phase transition. Our starting point is the work of Rámirez, Rider and Virág (2006) on the general beta random matrix soft edge. For rank one perturbations, a modified tridiagonal form converges to the known random Schrödinger operator on the half-line but with a boundary condition that depends on the perturbation. For general finite-rank perturbations we develop a new band form; it converges to a limiting operator with matrix-valued potential. The low-lying eigenvalues describe the limit, jointly as the perturbation varies in a fixed subspace. Their laws are also characterized in terms of a diffusion related to Dyson's Brownian motion and in terms of a linear parabolic PDE. We offer a related heuristic for the supercritical behaviour and rigorously treat the supercritical asymptotics of the ground state of the limiting operator. In a further development, we use the PDE to make the first explicit connection between a general beta characterization and the celebrated Painlevé representations of Tracy and Widom (1993, 1996). In particular, for beta = 2,4 we give novel proofs of the latter. Finally, we report briefly on evidence suggesting that the PDE provides a stable, even efficient method for numerical evaluation of the Tracy-Widom distributions, their general beta analogues and the deformations discussed and introduced here. This thesis is based in part on work to be published jointly with Bálint Virág.

Optical microscopy is a cornerstone of biomedical research. Advances in optical techniques enable specific, high resolution, sterile, and biologically compatible imaging. In particular, beam shaping has been used to tailor microscopy techniques to enhance microscope performance. The aim of this Thesis is to investigate the use of novel beam shaping techniques in emerging optical microscopy methods, and to apply these methods in biomedicine. To overcome the challenges associated with high resolution imaging of large specimens, the use of Airy beams and related techniques are applied to light-sheet microscopy. This approach increases the field-of-view that can be imaged at high resolution by over an order of magnitude compared to standard Gaussian beam based light-sheet microscopy, has reduced phototoxicity, and can be implemented with a low-cost optical system. Advanced implementations show promise for imaging at depth within turbid tissue, in particular for neuroscience. Super-resolution microscopy techniques enhance the spatial resolution of optical methods. Structured illumination microscopy is investigated as an alternative for electron microscopy in disease diagnosis, capable of visualising pathologically relevant features of kidney disease. Separately, compact optical manipulation methods are developed with the aim of adding functionality to super-resolution techniques.