Non-linear mechanical behavior of the elastomer polydimethylsiloxane (PDMS) used in the manufacture of microfluidic devices

Polydimethylsiloxane (PDMS) is the elastomer of choice to create a variety of microfluidic devices by soft lithography techniques (eg., [1], [2], [3], [4]). Accurate and reliable design, manufacture, and operation of microfluidic devices made from PDMS, require a detailed characterization of the deformation and failure behavior of the material. This paper discusses progress in a recently-initiated research project towards this goal. We have conducted large-deformation tension and compression experiments on traditional macroscale specimens, as well as microscale tension experiments on thin-film (≈ 50µm thickness) specimens of PDMS with varying ratios of monomer:curing agent (5:1, 10:1, 20:1). We find that the stress-stretch response of these materials shows significant variability, even for nominally identically prepared specimens. A non-linear, large-deformation rubber-elasticity model [5], [6] is applied to represent the behavior of PDMS. The constitutive model has been implemented in a finite-element program [7] to aid the design of microfluidic devices made from this material. As a first attempt towards the goal of estimating the non-linear material parameters for PDMS from indentation experiments, we have conducted micro-indentation experiments using a spherical indenter-tip, and carried out corresponding numerical simulations to verify how well the numerically-predicted P(load-h(depth of indentation) curves compare with the corresponding experimental measurements. The results are encouraging, and show the possibility of estimating the material parameters for PDMS from relatively simple micro-indentation experiments, and corresponding numerical simulations.

The Inertio-Elastic Planar Entry Flow of Low-Viscosity Elastic Fluids in Micro-fabricated Geometries

The non-Newtonian flow of dilute aqueous polyethylene oxide (PEO) solutions through microfabricated planar abrupt contraction-expansions is investigated. The contraction geometries are fabricated from a high-resolution chrome mask and cross-linked PDMS gels using the tools of soft-lithography. The small length scales and high deformation rates in the contraction throat lead to significant extensional flow effects even with dilute polymer solutions having time constants on the order of milliseconds. The dimensionless extra pressure drop across the contraction increases by more than 200% and is accompanied by significant upstream vortex growth. Streak photography and videomicroscopy using epifluorescent particles shows that the flow ultimately becomes unstable and three-dimensional. The moderate Reynolds numbers (0.03 ≤ Re ≤ 44) associated with these high Deborah number (0 ≤ De ≤ 600) microfluidic flows results in the exploration of new regions of the Re-De parameter space in which the effects of both elasticity and inertia can be observed. Understanding such interactions will be increasingly important in microfluidic applications involving complex fluids and can best be interpreted in terms of the elasticity number, El = De/Re, which is independent of the flow kinematics and depends only on the fluid rheology and the characteristic size of the device.

La indeterminación judicial de la responsabilidad extracontractual del estado por <> del servicio en la función administrativa

El trabajo inquiere, examina y condena la concepción bíblico-antigua con el cual se ha pretendido acrisolar a las convenciones jurídicas bajo el estigma de la objetividad, especialmente en el contexto de la Responsabilidad Civil Extracontractual de la Administración Pública, contrastado con el débito acaecido una vez presente un juicio orgánico, esto es, la falla del servicio, supuesto extraído en el interactuar antitético de las autoridades públicas respecto de una obligación primaria de cuidado debido, esto es, una norma legal pre-constituida al momento de la actuación material o acto administrativo. Supuesta tal objetividad en la falla del servicio, una dicotomía se presupone en su contra, la elasticidad con que ésta teoría pretende amalgamar bajo unos mismos y nunca cambiantes elementos de imputación jurídica en manos del juez siempre una única responsabilidad en las autoridades públicas. Y por otro lado, la incidencia de la teoría en la praxis, pragmática que no deja de insinuar lo contrario, esto es, supone desavenencias inexpugnables en la aplicación de tales premisas supuestas objetivas. Luego, resultado de este cisma es la indeterminación en la concepción falla del servicio, como concepto que no conoce contornos definidos, lo cual ofrece como síntoma de su abstrusa constitución una espiritual-subjetiva aplicación, y un cuestionamiento ineludible ¿existen líneas jurisprudenciales cuando de responsabilidad extracontractual se trata, en particular, en la falla del servicio?

Uso de la matriz extracelular como material para ingeniería de tejidos

Introducción: La evaluación de injertos vasculares de submucosa de intestino delgado para la regeneración de vasos sanguíneos ha producido una permeabilidad variable (0-100%) que ha sido concurrente con la variabilidad en las técnicas de fabricación. Metodología: Investigamos los efectos de fabricación en permeabilidad y regeneración en un diseño experimental de 22factorial que combino: 1) preservación (P) o remoción (R) de la capa estratum compactum del intestino, y 2) deshidratada (D) o hidratada (H), dentro de cuatro grupos de estudio (PD, RD, PH, RH). Los injertos fueron implantados en las Arterias Carótidas de porcinos (ID 4.5mm, N=4, 7d). Permeabilidad, trombogenicidad, reacción inflamatoria, vascularización, infiltración de fibroblastos, perfil de polarización de macrófagos y fuerza tensil biaxial fueron evaluadas. Resultados: Todos los injertos PD permanecieron permeables (4/4), pero tuvieron escasa vascularización e infiltración de fibroblastos. El grupo RD permaneció permeable (4/4), presentó una extensa vascularización e infiltración de fibroblastos, y el mayor número del fenotipo de macrófagos (M2) asociado a regeneración. El grupo RH presentó menor permeabilidad (3/4), una extensa vascularización e infiltración de fibroblastos, y un perfil dominante de M2. El grupo PH presentó el menor grado de permeabilidad, y a pesar de mayor infiltración celular que PD, exhibió un fenotipo de macrófagos dominante adverso. La elasticidad de los injertos R evolucionó de una manera similar a las Carótidas nativas (particularmente RD, mientras que los injertos P mantuvieron su rigidez inicial. Discusión: Concluimos que los parámetros de fabricación afectan drásticamente los resultados, siendo los injertos RD los que arrojaron mejores resultados.

Labor supply, biased technological change and economic growth

Se utiliza un modelo de innovaciones sesgadas para estudiar los efectos de cambios exógenos en la oferta laboral. En un contexto de innovaciones sesgadas, a medida que las economías acumulan capital, el trabajo se hace relativamente más escaso y más caro, por este motivo, hay incentivos para adoptar tecnologías ahorradoras de trabajo. Del mismo modo un cambio en la oferta laboral afecta la abundancia de factores y sus precios relativos. En general, una reducción de la oferta laboral, hace que el trabajo sea más caro y genera incentivos para cambio tecnológico ahorrador de trabajo. Así, el efecto inicial que tiene el cambio en la oferta laboral sobre los precios de los factores es mitigado por el cambio tecnológico. Finalmente, los movimientos en la remuneración a los factores afectan las decisiones de ahorro y, por lo tanto, la dinámica del crecimiento. En este trabajo se exploran las consecuencias de una reducción de la oferta laboral en dos contextos teóricos diferentes: un modelo de agentes homogéneos y horizonte infinito y un modelo de generaciones traslapadas.

Re-measuring labor's share

Measuring labor's share of an economy's aggregate income seems straightforward, at least in principle. Count up wage and salary income, along with the value of benefits provided to employees, and divide it by total income. However, one fundamental concept of labor's share in macroeconomic theory is not the amount of aggregate income paid out to labor. Rather, it is the share of aggregate production that is attributable to "raw" units of labor. Or, otherwise stated, it is the share of aggregate income that would have been paid to laborers if they had no accumulated stocks of human capital.1 This share corresponds to an aggregate production function parameter: the elasticity of output with respect to physical (i.e. non-augmented or raw) units of labor (Robert Solow, 1957). In this paper we estimate annual raw labor’s share for the US, 1949 to 1996.

Unemployment insurance in the presence of an informal sector

We study the effect of UI benefits in a typical developing country where the informal sector is sizeable and persistent. In a partial equilibrium environment, ruling out the macroeconomic consequences of UI benefits, we characterize the stationary equilibrium of an economy where policyholders may be employed in the formal sector, short-run unemployed receiving UI benefits or long-run unemployed without UI benefits. We perform comparative static exercises to understand how UI benefits affect unemployed worker´s effort to secure a formal job, their labor supply in the informal sector and leisure time. Our model reveals that an increase in UI benefits generates two opposing effects for the short-run unemployed. First, since search efforts cannot be monitored it generates moral hazard behaviours that lower effort. Second, it generates an income effect as it reduces the marginal cost of searching for a formal job and increases effort.The overall effect is ambiguous and depends on the relative strength of these two effects. Additionally, we show that an increase in UI benefits increases the efforts of long-run unemployed workers. We provide a simple simulation exercise which suggests that the income effect pointed out is not necessarily of second-order importance in comparison with moral hazard strength. This result softens the widespread opinion, usually based on the microeconomic/partial equilibrium argument that the presence of dual labor markets is an obstacle to providing UI in developing countries.

Why labor income shares seem to be constant?

The common assumptions that labor income share does not change over time or across countries and that factor income shares are equal to the elasticity of output with respect to factors have had important implications for economic theory. However, there are various theoretical reasons why the elasticity of output with respect to reproducible factors should be correlated with the stage of development. In particular, the behavior of international trade and capital flows and the existence of factor saving innovations imply such a correlation. If this correlation exists and if factor income shares are equal to the elasticity of output with respect to factors then the labor income share must be negatively correlated with the stage of development. We propose an explanation for why labor income share has no correlation with income per capita: the existence of a labor intensive sector which produces non tradable goods.

An empirical note on factor shares

In this study, we propose an explanation for why labor and capital shares do not seem to have a trend: an increasing trend in physical capital share is compensated by a decreasing trend in land share. Similarly, an increasing trend in human capital share is compensated by a decreasing trend in raw labor share. We also find empirical support for the claim that the elasticity of output with respect to reproducible factors, human and physical capital, is positively correlated with the income level. This result has important implications for economic growth theory and for empirical exercises related to economic growth

Biased technological change, human capital and factor shares

We propose a one-good model where technological change is factor saving and costly. We consider a production function with two reproducible factors: physical capital and human capital, and one not reproducible factor. The main predictions of the model are the following: (a) The elasticity of output with respect to the reproducible factors depends on the factor abundance of the economies. (b) The income share of reproducible factors increases with the stage of development. (c) Depending on the initial conditions, in some economies the production function converges to AK, while in other economies long-run growth is zero. (d) The share of human factors (raw labor and human capital) converges to a positive number lower than one. Along the transition it may decrease, increase or remain constant.

El consumo de los hogares colombianos, 2006-2007: estimación de sistemas de demanda

Utilizando datos a nivel de hogares de la Encuesta de Ingresos y Gastos 2006- 007, presentamos nuevas estimaciones de sistemas de demanda para Colombia. Estimamos tres diferentes especificaciones de sistemas de demanda, a saber, el Sistema Lineal de Gastos (LES), el Sistema Lineal de Gastos Extendido (ELES) y el Sistema Cuasi-Ideal de Demanda (AIDS). También calculamos valores de elas- ticidades gasto, ingreso y precio para diferentes grupos de bienes. Encontramos que la elasticidad gasto de los alimentos se ha mantenido estable a través del tiempo alrededor de 0.77. Por su parte, el vestuario ha dejado de ser un de bien de lujo para volverse un bien de elasticidad gasto unitaria. Finalmente, la salud y la educación siguen siendo bienes de lujo, pero sus elasticidades gasto han caıdo a través es del tiempo.

Evidence of induced innovation in US Sectoral Capital’s Shares

We use annual data on capital’s share and relative factor prices from 35 US industries from 1960 to 2005 to test the induced innovation hypothesis. We derive, from a production function framework, testable implications for the effect of contemporaneous and lagged factor price ratios on capital’s share of production. The predicted effect is positive or negative depending on the elasticity of substitution between labor and capital. From panel regressions, the estimated effect of the contemporaneous factor price ratio implies an elasticity of substitution that is less than unity, consistent with the consensus from the literature. Based on this, our negative estimated effects for lagged price ratios are both statistically significant and consistent with the induced innovation hypothesis.

Factor saving innovations and factor income shares

We present an endogenous growth model where innovations are factor saving. Technologies can be changed paying a cost and technological change takes place only if the benefits are larger than the costs. Since the gains derived from factor saving innovations depend on factor abundance, biased innovations respond to changes in factors supply. Therefore, as an economy becomes more capital abundant agents try to use capital more intensively. Consequently, (a) the elasticity of output with respect to reproducible factors depends on the capital abundance of the economy and (b) the income share of reproducible factors increases as the economy grows. Another insight of the model is that in some economies the production function converges to an AK in the long run, while in others long-run growth is zero

Apunts de Física I

Aquest text pretén ser una guia útil per als estudiants del Grau en Enginyeria Agroalimentària. El document s’estructura en set temes organitzats en dos blocs. El primer bloc és una introducció als conceptes bàsics de l’estàtica i el segon bloc el dediquem a la descripció dels fluids. Per a cada tema s’estableixen les competències específiques que s’han d’assolir, es desenvolupen de manera esquemàtica els continguts i s’adjunten exemples resolts de problemes. Al final de cada tema s’inclou també una col·lecció de qüestions i problemes. Aquest llibre pretén ser una breu recopilació dels continguts bàsics de l’assignatura. Al final del llibre, trobareu una bibliografia recomanada per poder desenvolupar exhaustivament la matèria

Relação entre a biomecânica e a hidratação cutâneas em indivíduos normoponderais e influência da idade

A pele constitui o maior órgão do corpo humano. As diversas funções cutâneas que conhecemos reúnem-se na sua capacidade de protecção e de adaptação ao contorno corporal. O presente estudo visa comparar parâmetros de hidratação e elasticidade, de forma a determinar de que forma uma poderá influenciar ou ser influenciada pela outra. Para tal, foi selecionada uma amostra de conveniência de 42 voluntárias, do sexo feminino, saudáveis e normoponderais (de acordo com a classificação internacional da OMS). Afunção “barreira” da pele foi caracterizada pela perda transepidérmica de água (Tewameter TM300); a hidratação superficial foi medida através da utilização do Moisturemeter SC e Corneometer; e a função “envelope” foi medida através da utilização do Cutometer MPA580 e Reviscometer RV600. As medições foram efetuadas na face (zona zigomática e fronte), na mama e no abdómen. Os resultados mais significativos demonstram uma influência da idade na alteração dos diversos parâmetros avaliados, de acordo com o que se encontra publicados. Para além disso, parece existir alguma relação entre os parâmetros de hidratação e alguns descritores biomecânicos, a qual deverá ser investigada em estudos futuros.