Flows of Bingham Materials Through Ideal Porous Media: an Experimental and Theoretical Study

The flow of Bingham liquids through porous media has been studied. Experiments have been performed to determine the flow rate / pressure drop relationship for the flow of a grease of Binghamian rheological behavior through an array of rods of circular cross section. The yield stress and plastic viscosity of the grease have been determined with the aid of a controlled stress rotational rheometer. To investigate a wider range of the flow parameters, the mass and momentum conservation equations have been solved numerically, in conjunction with the generalized Newtonian constitutive law and the bi-viscosity model. The finite volume method has been employed to obtain the numerical solution. These numerical results also yielded a flow rate / pressure drop relationship, which is in very good agreement with the experimental results. A capillaric theory has been developed to determine an analytical relationship between the flow rate and pressure drop for flows of Bingham liquids through porous media. It is shown that the predictions of this theory are in good agreement with the experimental and numerical results.

Minor segmental wall motion abnormalities detected in patients with Chagas' disease have adverse prognostic implications

Recent data from our laboratory have shown that patients with the indeterminate form of Chagas' disease can have impairment of left ventricular contractility, as evaluated by the slope of the left ventricle end-systolic pressure-dimension relationship. We also showed that Chagas' disease patients with minimal baseline wall motion abnormalities detected by two-dimensional echocardiography have more intense contractility impairment when compared to patients with the indeterminate form of the disease without this abnormality. The prognostic implications of these findings have not been established. We evaluated 59 patients (37-76 years, mean = 55 years) with different clinical forms of Chagas' disease, who had normal left ventricular global systolic function at baseline (57.6 ± 6.9%) and who had at least one additional echo during clinical follow-up (0.4-17.6; mean 4.6 years). Group 1 consisted of 14 patients with minor baseline left ventricle wall motion abnormalities and group 2 consisted of 45 patients without these abnormalities. During follow-up, global left ventricle systolic function deterioration was observed in 10 group 1 patients (71.4%) and in only 10 group 2 patients (22.2%; P < 0.005). Age and duration of follow-up were not independent determinants of left ventricular function deterioration in these patients. The present data indicate that mild segmental left ventricular wall motion abnormalities are associated with worsening of systolic function in Chagas' disease patients who have normal baseline global systolic performance.

Lattice Boltzmann method for simulating the viscous flow in large distensible blood vessels

A lattice Boltzmann method for simulating the viscous flow in large distensible blood vessels is presented by introducing a boundary condition for elastic and moving boundaries. The mass conservation for the boundary condition is tested in detail. The viscous flow in elastic vessels is simulated with a pressure-radius relationship similar to that of the Pulmonary blood vessels. The numerical results for steady flow agree with the analytical prediction to very high accuracy, and the simulation results for pulsatile flow are comparable with those of the aortic flows observed experimentally. The model is expected to find many applications for studying blood flows in large distensible arteries, especially in those suffering from atherosclerosis. stenosis. aneurysm, etc.

Lattice Boltzmann simulation of viscous fluid systems with elastic boundaries

A lattice Boltzmann model able to simulate viscous fluid systems with elastic and movable boundaries is proposed. By introducing the virtual distribution function at the boundary, the Galilean invariance is recovered for the full system. As examples of application, the how in elastic vessels is simulated with the pressure-radius relationship similar to that of the pulmonary blood vessels. The numerical results for steady how are in good agreement with the analytical prediction, while the simulation results for pulsative how agree with the experimental observation of the aortic flows qualitatively. The approach has potential application in the study of the complex fluid systems such as the suspension system as well as the arterial blood flow.

Ventricular remodeling and diastolic myocardial dysfunction in rats submitted to protein-calorie malnutrition

The effects of protein-calorie malnutrition (PCM) on heart structure and function are not completely understood. We studied heart morphometric, functional, and biochemical characteristics in undernourished young Wistar rats. They were submitted to PCM from birth (undernourished group, UG). After 10 wk, left ventricle function was studied using a Langendorff preparation. The results were compared with age-matched rats fed ad libitum (control group, CG). The UG rats achieved 47% of the body weight and 44% of the left ventricular weight (LVW) of the CG. LVW-to-ventricular volume ratio was smaller and myocardial hydroxyproline concentration was higher in the UG. Left ventricular systolic function was not affected by the PCM protocol. The myocardial stiffness constant was greater in the UG, whereas the end-diastolic pressure-volume relationship was not altered. In conclusion, the heart is not spared from the adverse effects of PCM. There is a geometric alteration in the left ventricle with preserved ventricular compliance despite the increased passive myocardial stiffness. The systolic function is preserved.

Relações pressão-diâmetro e esforço-diâmetro do ventrículo esquerdo em seres humanos. Padronização e análise crítica do método.

PURPOSE--To provide a critical analysis of the fluid filled manometric system and M-mode echocardiography and, by their association, to standardize the determination of left ventricular (LV) pressure-diameter and stress-diameter relationships in humans. MATERIAL AND METHODS--The pressure curve and the LV M-mode image was obtained in 24 patients with cardiopathy. The dynamic characteristics of the fluid-filled system have been studied to define the amplitude, the resonance and the time gap of the pressure curve register. The delay of the pressure curve recording was determined in all cases by comparing pressure curve and echocardiographic aortic valve registers. The values of pressure, diameter, posterior wall thickness and LV meridional stress was calculated at every 0.02s. RESULTS--Preliminary analyses of the fluid-filled manometric system indicated that this system has variable dynamic characteristics. The pressure-diameter and stress-diameter loops obtained were similar to those of the literature. The values of end-systolic stress, percentage of fractional shortening, ejection fraction and circumferential fiber shortening rate of patients with dilated cardiomyopathy (n = 5) were significantly reduced when compared to the values of patients without left ventricular overload (n = 8) and patients with ventricular volume overload. It has been verified, also, that the retard of the pressure curve record introduced by the fluid-filled manometric system does not modify the values of these variables. CONCLUSION--The LV pressure-diameter and stress-diameter relationships obtained by the association of echocardiography and LV manometry showed functional characteristics of the ventricle that could not appear by the use of the echocardiography or by the LV manometry themselves.

Remodelação miocárdia e função ventricular em ratos espontaneamente hipertensos observados durante o envelhecimento

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Convecção mista em cavidades com fontes de calor aletadas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Equações alométricas em plantios mistos visando à restauração da floresta estacional semidecidual

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Viabilidade do recipiente biodegradável na produção de mudas florestais nativas

Pós-graduação em Ciência Florestal - FCA

Development of Clinical Decision Support Systems based on Mathematical Models of Physiological Systems

In the last years of research, I focused my studies on different physiological problems. Together with my supervisors, I developed/improved different mathematical models in order to create valid tools useful for a better understanding of important clinical issues. The aim of all this work is to develop tools for learning and understanding cardiac and cerebrovascular physiology as well as pathology, generating research questions and developing clinical decision support systems useful for intensive care unit patients. I. ICP-model Designed for Medical Education We developed a comprehensive cerebral blood flow and intracranial pressure model to simulate and study the complex interactions in cerebrovascular dynamics caused by multiple simultaneous alterations, including normal and abnormal functional states of auto-regulation of the brain. Individual published equations (derived from prior animal and human studies) were implemented into a comprehensive simulation program. Included in the normal physiological modelling was: intracranial pressure, cerebral blood flow, blood pressure, and carbon dioxide (CO2) partial pressure. We also added external and pathological perturbations, such as head up position and intracranial haemorrhage. The model performed clinically realistically given inputs of published traumatized patients, and cases encountered by clinicians. The pulsatile nature of the output graphics was easy for clinicians to interpret. The manoeuvres simulated include changes of basic physiological inputs (e.g. blood pressure, central venous pressure, CO2 tension, head up position, and respiratory effects on vascular pressures) as well as pathological inputs (e.g. acute intracranial bleeding, and obstruction of cerebrospinal outflow). Based on the results, we believe the model would be useful to teach complex relationships of brain haemodynamics and study clinical research questions such as the optimal head-up position, the effects of intracranial haemorrhage on cerebral haemodynamics, as well as the best CO2 concentration to reach the optimal compromise between intracranial pressure and perfusion. We believe this model would be useful for both beginners and advanced learners. It could be used by practicing clinicians to model individual patients (entering the effects of needed clinical manipulations, and then running the model to test for optimal combinations of therapeutic manoeuvres). II. A Heterogeneous Cerebrovascular Mathematical Model Cerebrovascular pathologies are extremely complex, due to the multitude of factors acting simultaneously on cerebral haemodynamics. In this work, the mathematical model of cerebral haemodynamics and intracranial pressure dynamics, described in the point I, is extended to account for heterogeneity in cerebral blood flow. The model includes the Circle of Willis, six regional districts independently regulated by autoregulation and CO2 reactivity, distal cortical anastomoses, venous circulation, the cerebrospinal fluid circulation, and the intracranial pressure-volume relationship. Results agree with data in the literature and highlight the existence of a monotonic relationship between transient hyperemic response and the autoregulation gain. During unilateral internal carotid artery stenosis, local blood flow regulation is progressively lost in the ipsilateral territory with the presence of a steal phenomenon, while the anterior communicating artery plays the major role to redistribute the available blood flow. Conversely, distal collateral circulation plays a major role during unilateral occlusion of the middle cerebral artery. In conclusion, the model is able to reproduce several different pathological conditions characterized by heterogeneity in cerebrovascular haemodynamics and can not only explain generalized results in terms of physiological mechanisms involved, but also, by individualizing parameters, may represent a valuable tool to help with difficult clinical decisions. III. Effect of Cushing Response on Systemic Arterial Pressure. During cerebral hypoxic conditions, the sympathetic system causes an increase in arterial pressure (Cushing response), creating a link between the cerebral and the systemic circulation. This work investigates the complex relationships among cerebrovascular dynamics, intracranial pressure, Cushing response, and short-term systemic regulation, during plateau waves, by means of an original mathematical model. The model incorporates the pulsating heart, the pulmonary circulation and the systemic circulation, with an accurate description of the cerebral circulation and the intracranial pressure dynamics (same model as in the first paragraph). Various regulatory mechanisms are included: cerebral autoregulation, local blood flow control by oxygen (O2) and/or CO2 changes, sympathetic and vagal regulation of cardiovascular parameters by several reflex mechanisms (chemoreceptors, lung-stretch receptors, baroreceptors). The Cushing response has been described assuming a dramatic increase in sympathetic activity to vessels during a fall in brain O2 delivery. With this assumption, the model is able to simulate the cardiovascular effects experimentally observed when intracranial pressure is artificially elevated and maintained at constant level (arterial pressure increase and bradicardia). According to the model, these effects arise from the interaction between the Cushing response and the baroreflex response (secondary to arterial pressure increase). Then, patients with severe head injury have been simulated by reducing intracranial compliance and cerebrospinal fluid reabsorption. With these changes, oscillations with plateau waves developed. In these conditions, model results indicate that the Cushing response may have both positive effects, reducing the duration of the plateau phase via an increase in cerebral perfusion pressure, and negative effects, increasing the intracranial pressure plateau level, with a risk of greater compression of the cerebral vessels. This model may be of value to assist clinicians in finding the balance between clinical benefits of the Cushing response and its shortcomings. IV. Comprehensive Cardiopulmonary Simulation Model for the Analysis of Hypercapnic Respiratory Failure We developed a new comprehensive cardiopulmonary model that takes into account the mutual interactions between the cardiovascular and the respiratory systems along with their short-term regulatory mechanisms. The model includes the heart, systemic and pulmonary circulations, lung mechanics, gas exchange and transport equations, and cardio-ventilatory control. Results show good agreement with published patient data in case of normoxic and hyperoxic hypercapnia simulations. In particular, simulations predict a moderate increase in mean systemic arterial pressure and heart rate, with almost no change in cardiac output, paralleled by a relevant increase in minute ventilation, tidal volume and respiratory rate. The model can represent a valid tool for clinical practice and medical research, providing an alternative way to experience-based clinical decisions. In conclusion, models are not only capable of summarizing current knowledge, but also identifying missing knowledge. In the former case they can serve as training aids for teaching the operation of complex systems, especially if the model can be used to demonstrate the outcome of experiments. In the latter case they generate experiments to be performed to gather the missing data.

A cardiovascular mathematical model of graded head-up tilt

A lumped parameter model of the cardiovascular system has been developed and optimized using experimental data obtained from 13 healthy subjects during graded head-up tilt (HUT) from the supine position to [Formula: see text]. The model includes descriptions of the left and right heart, direct ventricular interaction through the septum and pericardium, the systemic and pulmonary circulations, nonlinear pressure volume relationship of the lower body compartment, arterial and cardiopulmonary baroreceptors, as well as autoregulatory mechanisms. A number of important features, including the separate effects of arterial and cardiopulmonary baroreflexes, and autoregulation in the lower body, as well as diastolic ventricular interaction through the pericardium have been included and tested for their significance. Furthermore, the individual effect of parameter associated with heart failure, including LV and RV contractility, baseline systemic vascular resistance, pulmonary vascular resistance, total blood volume, LV diastolic stiffness and reflex gain on HUT response have also been investigated. Our fitted model compares favorably with our experimental measurements and published literature at a range of tilt angles, in terms of both global and regional hemodynamic variables. Compared to the normal condition, a simulated congestive heart failure condition produced a blunted response to HUT with regards to the percentage changes in cardiac output, stroke volume, end diastolic volume and effector response (i.e., heart contractility, venous unstressed volume, systemic vascular resistance and heart rate) with progressive tilting.

Capillary phenomena in the framework of the two-dimensional density functional theory

We present results of application of the density functional theory (DFT) to adsorption and desorption in finite and infinite cylindrical pores accounting for the density distribution in radial and axial directions. Capillary condensation via formation of bridges is considered using canonical and grand canonical versions of the 2D DFT. The potential barrier of nucleation is determined as a function of the bulk pressure and the pore diameter. In the framework of the conventional assumptions on intermolecular interactions both 1D and 2D DFT versions lead to the same results and confirm the classical scenario of condensation and evaporation: the condensation occurs at the vapor-like spinodal point, and the evaporation corresponds to the equilibrium transition pressure. The analysis of experimental data on argon and nitrogen adsorption on MCM-41 samples seems to not completely corroborate this scenario, with adsorption branch being better described by the equilibrium pressure - diameter dependence. This points to the necessity of the further development of basic representations on the hysteresis phenomena.

Intolérence à l'effort en hypertension artérielle pulmonaire : Implication des déterminants périphériques

L’hypertension artérielle pulmonaire (HTAP) est une maladie caractérisée par l’augmentation progressive des résistances vasculaires pulmonaires causant une augmentation de la pression artérielle pulmonaire qui mène au décès prématuré des patients. Malgré une amélioration rapide ces dernières années des traitements spécifiques, les patients souffrant d’HTAP demeurent dyspnéiques et intolérants à l’effort. L’atteinte vasculaire pulmonaire est actuellement irréversible. Elle est également la source de plusieurs anomalies au niveau des systèmes cardiovasculaires, ventilatoires et musculaires constituant les principaux déterminants physiologiques de la capacité à l’effort des patients. Cette thèse a investigué différentes facettes de la tolérance à l’effort en HTAP : les différents mécanismes ayant un impact sur l’apport musculaire en oxygène, l’altération des voies de signalisation cellulaire impliquées dans l’angiogenèse musculaire et les mécanismes ayant un impact sur la régulation du débit sanguin et l’oxygénation cérébrale en HTAP. Nous avons premièrement documenté une diminution de l’apport en oxygène aux muscles squelettiques à l’effort des patients en relation avec une diminution de la densité capillaire musculaire. Ce défaut d’angiogenèse corrélait d’ailleurs avec la capacité à l’effort des sujets. Par la suite, nous avons étudié les voies de signalisations cellulaires de l’angiogenèse musculaire. Ces résultats ont permis de démontrer une diminution de l’expression de miR-126, unique aux patients HTAP, qui était responsable de la diminution de la densité capillaire et qui contribuait à leur intolérance à l’effort. De plus, il était possible de moduler in vivo l’expression de miR-126. L’expérimentation in vivo, à l’aide d’un modèle murin d’HTAP, a permis de rétablir l’expression de miR-126, d’augmenter la microcirculation musculaire et d’améliorer la tolérance à l’effort des animaux, ce qui met en lumière le potentiel thérapeutique de l’angiogenèse musculaire pour améliorer la capacité à l’effort en HTAP. Notre dernier projet a démontré que les patients HTAP présentaient une diminution de débit sanguin cérébral. Ce projet a également démontré que les changements de pression artérielle sont moins bien amortis par les vaisseaux cérébraux des patients et que leurs vaisseaux cérébraux étaient moins réactifs aux changements de CO2. Les patients présentaient aussi une augmentation de la sensibilité des chémorécepteurs centraux qui contribuait à augmenter leur ventilation au repos, mais aussi à l’exercice. Finalement, à l’effort, nous avons démontré que le débit sanguin cérébral des patients HTAP était principalement influencé par la pression artérielle alors que chez les sujets sains, le débit sanguin cérébral était influencé principalement par la PETCO2. Nous avons également démontré que les patients HTAP présentaient une diminution progressive de leur oxygénation cérébrale, qui corrélait avec leur capacité à l’effort. Les résultats obtenus au cours de ce doctorat démontrent bien que la capacité à l’effort en HTAP est aussi déterminée par plusieurs anomalies physiopathologiques périphériques.

PRODUÇÃO DE MUDAS DE UMBUZEIRO ( Spondias tuberosa Arruda Câmara) EM DIFERENTES SUBSTRATOS E TAMANHO DE RECIPIENTES

A espécie Spondias tuberosa Arr. Cam. (umbuzeiro) destaca-se como uma das espécies arbóreas de maior potencial do semiárido brasileiro. Apesar de sua relevante importância socioeconômica e ambiental, há falta de estudos voltados para o estabelecimento de um modelo de produção de mudas da espécie. O objetivo desse trabalho foi avaliar a produção de mudas de Spondias tuberosa utilizando diferentes substratos e tamanho de recipientes. O experimento foi conduzido no viveiro do Laboratório de Ecologia Vegetal (LEV) do Centro de Ciências Agrárias (CCA) da Universidade Federal da Paraíba (UFPB), Areia - PB. O delineamento experimental usado foi em blocos casualizados em esquema fatorial 2 x 7 e parcelas subdivididas, sendo que os recipientes representaram as parcelas e os substratos as subparcelas. Foram utilizados substratos formulados a partir da mistura de terra de subsolo (37,5-100%), areia lavada (12,5- 25%) e esterco bovino curtido (10-50%). Os recipientes utilizados foram sacos de polietileno preto com volumes de 1900 cm3 (15 x 27 cm) e 5000 cm3 (25 x 26 cm). Para a obtenção das plântulas, sementes de Spondias tuberosa foram semeadas em sementeira de alvenaria até a repicagem (90 dias após o semeio). Aos 78 dias, após a repicagem, as mudas foram avaliadas quanto à altura, diâmetro do colo, relação altura/ diâmetro do colo, diâmetro do xilopódio, comprimento de raiz, massa seca da parte aérea e raiz. Os dados obtidos foram submetidos à análise de variância e ao teste F, sendo as médias comparadas pelo teste de Tukey ao nível de 5% de probabilidade, utilizando o software SISVAR®. Os substratos com esterco bovino curtido proporcionaram os maiores valores em altura e comprimento de raiz. Para a produção de mudas de Spondias tuberosa, é recomendado o substrato contendo terra de subsolo (45%) + Areia (15%) + Esterco bovino (40%).