Explosive Hyperinflation, Inflation Tax Laffer Curve and Modelling the use of Money

This paper analyzes the existence of an inflation tax Laffer curve (ITLC) in the context of two standard optimizing monetary models: a cash-in-advance model and a money in the utility function model. Agents’ preferences are characterized in the two models by a constant relative risk aversion utility function. Explosive hyperinflation rules out the presence of an ITLC. In the context of a cash-in-advance economy, this paper shows that explosive hyperinflation is feasible and thus an ITLC is ruled out whenever the relative risk aversion parameter is greater than one. In the context of an optimizing model with money in the utility function, this paper firstly shows that an ITLC is ruled out. Moreover, it is shown that explosive hyperinflations are more likely when the transactions role of money is more important. However, hyperinflationary paths are not feasible in this context unless certain restrictions are imposed.

Temperature-and pH-Sensitive Nanohydrogels of Poly(N-Isopropylacrylamide) for Food Packaging Applications: Modelling the Swelling-Collapse Behaviour

Temperature-sensitive poly(N-isopropylacrylamide) (PNIPA) nanohydrogels were synthesized by nanoemulsion polymerization in water-in-oil systems. Several cross-linking degrees and the incorporation of acrylic acid as comonomer at different concentrations were tested to produce nanohydrogels with a wide range of properties. The physicochemical properties of PNIPA nanohydrogels, and their relationship with the swelling-collapse behaviour, were studied to evaluate the suitability of PNIPA nanoparticles as smart delivery systems (for active packaging). The swelling-collapse transition was analyzed by the change in the optical properties of PNIPA nanohydrogels using ultraviolet-visible spectroscopy. The thermodynamic parameters associated with the nanohydrogels collapse were calculated using a mathematical approach based on the van't Hoff analysis, assuming a two-state equilibrium (swollen to collapsed). A mathematical model is proposed to predict both the thermally induced collapse, and the collapse induced by the simultaneous action of two factors (temperature and pH, or temperature and organic solvent concentration). Finally, van't Hoff analysis was compared with differential scanning calorimetry. The results obtained allow us to solve the problem of determining the molecular weight of the structural repeating unit in cross-linked NIPA polymers, which, as we show, can be estimated from the ratio of the molar heat capacity (obtained from the van't Hoff analysis) to the specific heat capacity (obtained from calorimetric measurements).

Modelling the Effect of Climate Change on Environmental Pollution Losses from Dairy Systems in the UK

21 p.

Temperature-and pH-Sensitive Nanohydrogels of Poly(N-Isopropylacrylamide) for Food Packaging Applications: Modelling the Swelling-Collapse Behaviour

Temperature-sensitive poly(N-isopropylacrylamide) (PNIPA) nanohydrogels were synthesized by nanoemulsion polymerization in water-in-oil systems. Several cross-linking degrees and the incorporation of acrylic acid as comonomer at different concentrations were tested to produce nanohydrogels with a wide range of properties. The physicochemical properties of PNIPA nanohydrogels, and their relationship with the swelling-collapse behaviour, were studied to evaluate the suitability of PNIPA nanoparticles as smart delivery systems (for active packaging). The swelling-collapse transition was analyzed by the change in the optical properties of PNIPA nanohydrogels using ultraviolet-visible spectroscopy. The thermodynamic parameters associated with the nanohydrogels collapse were calculated using a mathematical approach based on the van't Hoff analysis, assuming a two-state equilibrium (swollen to collapsed). A mathematical model is proposed to predict both the thermally induced collapse, and the collapse induced by the simultaneous action of two factors (temperature and pH, or temperature and organic solvent concentration). Finally, van't Hoff analysis was compared with differential scanning calorimetry. The results obtained allow us to solve the problem of determining the molecular weight of the structural repeating unit in cross-linked NIPA polymers, which, as we show, can be estimated from the ratio of the molar heat capacity (obtained from the van't Hoff analysis) to the specific heat capacity (obtained from calorimetric measurements).

SCARA motako robot industrialaren simulazio birtuala eta interakzioa

[EU]Gradu amaierako lan honetan, Industria Ingenieritza graduan zehar emandako zenbait irakasgaietan landutako kontzeptuak oinarri bezala hartuta SCARA robot industrialaren analisia egin da. Lau askatasun gradu dituzten robot hauek oso erabiliak dira industrian beraien lan ziklo azkar, karga handiak jasateko kapazitate, errepikortasun eta aplikazio ugariengatik. Proiektua, bi zati nagusitan banandu da: SCARA motako robot baten analisi zinematikoa, robotaren irudikapena eta ibilbideen sorkuntza Matlab programa erabiliz. Adept Cobra e-Vario 600, SCARA motako prototipo errealarekin interakzioa. Proiektuan zehar garatuko diren edukien egitura ondorengoa izango da: Lehenik eta behin, proiektuko lehen atalean proiektua kokatuta dagoen testuinguruaren azalpena emango da, baita ere testuinguru horrek gaur egun, sail desberdinetan, duen garrantzia. Proiektuko bigarren atalean, lana egiterakoan proposatu diren helburuak eta proiektuak eskaintzen dituen onurak adieraziko dira. Bestetik, proiektuko hirugarren atalean, gaiaren egoeran, SCARA robotera heldu arte robotek historian zehar izan duten garapena eta hauen sailkapen desberdinak azalduko dira. Laugarren atalean, metodologian, proiektu honetan garatuko diren bi zati nagusien deskribapen zehatza emango da. Azkenik, proiektuko azken atalean, lana burutzeko bete behar izan diren ataza bakoitzaren deskribapena eta iraupena, aurrekontua, arriskuen analisia eta proiektu honetatik atera ditugun ondorioak ematen dira.

Análisis cinemático del robot antropomórfico IRB120 de ABB

[ES]En el siguiente Trabajo Fin de Grado se va a exponer el análisis cinemático y desarrollo de un modelo virtual para la implementación de las ecuaciones cinemáticas del robot IRB120 de ABB llevados a cabo durante el curso 2013/2014. Comenzando por un estudio del Estado del Arte de la robótica industrial, se plantean seguidamente las ecuaciones de localización del robot en función de las variables de entrada mediante el método matricial. Estas ecuaciones son implementadas en un modelo de MatLab para usarlas en la resolución del problema de posición directo e inverso, y son también usadas en herramientas de creación de trayectorias. Además, sus derivadas se utilizan en el cálculo de velocidades del elemento terminal. Por último, se muestra la creación del prototipo 3D del robot, así como un interfaz gráfico de control del robot para el usuario, y los trabajos de validación llevados a cabo de los mencionados modelos virtuales sobre el robot real.

Interacción y programación de trayectorias de robot industrial tipo SCARA.

[ES]En el desarrollo de este Trabajo de Fin De Grado (TFG) en el curso 2014-2015 se ha trabajado con un robot de tipo SCARA, muy utilizado en la industria. El objetivo era analizar su cinemática y programar trayectorias que el robot pudiera realizar. En primer lugar se ha llevado a cabo un estudio del Estado del Arte, en el que se describe la robótica industrial y su desarrollo histórico hasta nuestros días, desarrollo que presenta un futuro prometedor. Además, se han descrito las particularidades que atañen al SCARA: sus características, su relevancia y su historia. En cuanto al robot, previamente se ha realizado un análisis cinemático del SCARA. Mediante métodos matriciales se han resuelto los problemas de posiciones y velocidades, para luego programarlas en MATLAB. Una vez comprendida su cinemática, se ha interactuado con él en el taller para poder entender su funcionamiento, sus componentes y su control. Después, con los conocimientos que se han adquirido, se han programado varias trayectorias usando el lenguaje del robot, el lenguaje V+, para finalmente ejecutar esos movimientos. El Trabajo se completa con la descripción de las tareas mediante un diagrama de Gantt, el presupuesto, la declaración de gastos y el análisis de riesgos.

Modelling Lipid Competition Dynamics in Heterogeneous Protocell Populations

Recent experimental work in the field of synthetic protocell biology has shown that prebiotic vesicles are able to 'steal' lipids from each other. This phenomenon is driven purely by asymmetries in the physical state or composition of the vesicle membranes, and, when lipid resource is limited, translates directly into competition amongst the vesicles. Such a scenario is interesting from an origins of life perspective because a rudimentary form of cell-level selection emerges. To sharpen intuition about possible mechanisms underlying this behaviour, experimental work must be complemented with theoretical modelling. The aim of this paper is to provide a coarse-grain mathematical model of protocell lipid competition. Our model is capable of reproducing, often quantitatively, results from core experimental papers that reported distinct types vesicle competition. Additionally, we make some predictions untested in the lab, and develop a general numerical method for quickly solving the equilibrium point of a model vesicle population.

Desarrollo de una herramienta analítica para resolución del problema directo e inverso de un robot serie de 6 grados de libertad.

[ES]En el presente trabajo de fin de grado se expondrá el análisis cinemático de un robot IRB120 de ABB y el desarrollo de una herramienta grafica para su visualización. Comenzando por un estudio del estado del arte de la robótica industrial. El análisis cinemático es plantear las ecuaciones del robot y la resolución del problema directo e inverso mediante el software Matlab. Por último, la herramienta grafica muestra el movimiento del robot y los sistemas de referencia en la trayectoria introducida por el usuario.