Strong solutions for stochastic porous media equations with jumps

We prove global well-posedness in the strong sense for stochastic generalized porous media equations driven by locally square integrable martingales with stationary independent increments.

Obtenció de matrius poroses d'àcid polilàctic (PDLLA) mitjançant fluids comprimits per a ús en regeneració tissular

En aquest treball es pretén obtenir material porós de PDLLA, amb ús potencial com a bastida en enginyeria tissular, mitjançant l’ús de freó R-134a com a fluid escumant. Per aquest motiu, s’ha realitzat un estudi on es valoren diferents variables com la temperatura de procés, la pressió de treball i l’ús de N2 en la despressurització que poden modificar la microestructura final de la bastida.

Transformació d'una màquina de tecnologia additiva per a la fabricació d'scaffolds

Grup de Recerca en Enginyeria de Producte, Procés i Producció de la Universitat de Girona té en les seves instal•lacions una RepRap model Prusa Mendel. Un dels seus àmbits d’investigació és el sector mèdic. Una de les aplicacions més innovadores de les tecnologies additives, emmarcada dins del camp mèdic, és la fabricació de scaffolds. En la medicina regenerativa, els scaffolds s’utilitzen com estructures biodegradables implantables que serveixen de base per a la correcte reproducció de teixit a partir de cèl•lules no diferenciades. L’objecte del projecte és aconseguir fabricar scaffolds amb la Reprap. Per tald’assolir aquest objectiu final caldran molts passos previs. En el moment que s’inicia elpresent projecte la RepRap té tots els seus components muntats, el cablejat instal•lat i el firmware inicial a la placa. Així, en primer lloc cal obtenir una correcta comunicació entre la màquina i l’ordinador a través del qual es podrà accedir a la placa per tal de realizar ajustaments. Una vegada la màquina obeeixi les ordres de moviment en la magnitud i la direcció desitjada serà el moment d’ajustar els paràmetres propis de la impressió. Aquests varien en funció de l’extrusor i el material a utilitzar. En aquest punt es passarà a dissenyar i fabricar diferents tipus de scaffolds variant les estratègies i les geometries. Aquests dissenys seran testats mecànicament a compressió. També seran analitzats geomètricament i se’n determinarà la porositat. Finalment, a partir de l’anàlisi dels resultats s’intentarà trobar una relació entre les diferents formes geomètriques, les porositats i la resistència

Statistical similarity between the compression of a porous material and earthquakes

It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. We study the Acoustic Emission events produced during the compression of Vycor (SiO&sub&2&/sub&). The Gutenberg-Richter law, the modified Omori's law, and the law of aftershock productivity hold for a minimum of 5 decades, are independent of the compression rate, and keep stationary for all the duration of the experiments. The waiting-time distribution fulfills a unified scaling law with a power-law exponent close to 2.45 for long times, which is explained in terms of the temporal variations of the activity rate.

Polymer-induced tubulation in lipid vesicles

A mechanism of extraction of tubular membranes from a lipid vesicle is presented. A concentration gradient of anchoring amphiphilic polymers generates tubes from budlike vesicle protrusions. We explain this mechanism in the framework of the Canham-Helfrich model. The energy profile is analytically calculated and a tube with a fixed length, corresponding to an energy minimum, is obtained in a certain regime of parameters. Further, using a phase-field model, we corroborate these results numerically. We obtain the growth of tubes when a polymer source is added, and the budlike shape after removal of the polymer source, in accordance with recent experimental results.

Velocity fluctuations of fracturelike disruptions of associating polymer solutions

Velocity has been measured as a function of time for propagating crack tips as water is injected into solutions of end-capped associating polymers in a rectanguar Hele-Shaw cell. Measurements were performed for flows with different values of cell gap, channel width, polymer molecular weight, and polymer concentration. The condition for the onset of fracturelike behavior is well described by a Deborah number which uses the shear-thinning shear rate of the polymer solution as a characteristic frequency for network relaxation. At low molecular weight, the onset of fracturelike pattern evolution is accompanied by an abrupt jump in tip velocity, followed by a lower and approximately constant acceleration. At high molecular weight, the transition to fracturelike behavior involves passing through a regime that may be understood in terms of stick-slip dynamics. The crack-tip wanders from side to side and fluctuates (in both speed and velocity along the channel) with a characteristic frequency which depends linearly on the invading fluid injection rate.

Velocity-jump instabilities in Hele-Shaw flow of associating polymer solutions

We study fracturelike flow instabilities that arise when water is injected into a Hele-Shaw cell filled with aqueous solutions of associating polymers. We explore various polymer architectures, molecular weights, and solution concentrations. Simultaneous measurements of the finger tip velocity and of the pressure at the injection point allow us to describe the dynamics of the finger in terms of the finger mobility, which relates the velocity to the pressure gradient. The flow discontinuities, characterized by jumps in the finger tip velocity, which are observed in experiments with some of the polymer solutions, can be modeled by using a nonmonotonic dependence between a characteristic shear stress and the shear rate at the tip of the finger. A simple model, which is based on a viscosity function containing both a Newtonian and a non-Newtonian component, and which predicts nonmonotonic regions when the non-Newtonian component of the viscosity dominates, is shown to agree with the experimental data.

Polydispersity index from linear viscoelastic data: Unimodal and bimodal linear polymer melts

This article describes a method for determining the polydispersity index Ip2=Mz/Mw of the molecular weight distribution (MWD) of linear polymeric materials from linear viscoelastic data. The method uses the Mellin transform of the relaxation modulus of a simple molecular rheological model. One of the main features of this technique is that it enables interesting MWD information to be obtained directly from dynamic shear experiments. It is not necessary to achieve the relaxation spectrum, so the ill-posed problem is avoided. Furthermore, a determinate shape of the continuous MWD does not have to be assumed in order to obtain the polydispersity index. The technique has been developed to deal with entangled linear polymers, whatever the form of the MWD is. The rheological information required to obtain the polydispersity index is the storage G′(ω) and loss G″(ω) moduli, extending from the terminal zone to the plateau region. The method provides a good agreement between the proposed theoretical approach and the experimental polydispersity indices of several linear polymers for a wide range of average molecular weights and polydispersity indices. It is also applicable to binary blends.

Comment on ‘‘Relaxation Kinetics of Nanoscale Indents in a Polymer Glass’’

A Comment on the Letter by A. Knoll, D. Wiesmann, B. Gotsmann, and U. Duerig, published in Physical Review Letter, 2009, vol. 102, p.117801

From caging to rouse dynamics in polymer melts with intramolecular barriers: a critical test of the mode coupling theory

By means of computer simulations and solution of the equations of the mode coupling theory (MCT),we investigate the role of the intramolecular barriers on several dynamic aspects of nonentangled polymers. The investigated dynamic range extends from the caging regime characteristic of glass-formers to the relaxation of the chain Rouse modes. We review our recent work on this question,provide new results, and critically discuss the limitations of the theory. Solutions of the MCT for the structural relaxation reproduce qualitative trends of simulations for weak and moderate barriers. However, a progressive discrepancy is revealed as the limit of stiff chains is approached. This dis-agreement does not seem related with dynamic heterogeneities, which indeed are not enhanced by increasing barrier strength. It is not connected either with the breakdown of the convolution approximation for three-point static correlations, which retains its validity for stiff chains. These findings suggest the need of an improvement of the MCT equations for polymer melts. Concerning the relaxation of the chain degrees of freedom, MCT provides a microscopic basis for time scales from chain reorientation down to the caging regime. It rationalizes, from first principles, the observed deviations from the Rouse model on increasing the barrier strength. These include anomalous scaling of relaxation times, long-time plateaux, and nonmonotonous wavelength dependence of the mode correlators.

Scaffolding through the network: analysing the promotion of improved online scaffolds among university students

This article explores how to enrich scaffolding processes among university students using specific Computer Supported Collaborative Learning –CSCL- software. A longitudinal case study was designed, in which eighteen students participated in a twelve-month learning project. During this period the students followed an instructional process, using the CSCL software to support and improve the students’ interaction processes, in particular the processes of giving and receiving assistance. Our research analyzed the evolution of the quality of the students’ interaction processes and the students’ learning results. The effects of the students’ participation in the CSCL environment have been described in terms of their development of affective, cognitive and metacognitive learning processes. Our results showed that the specific activities that students performed while working with the CSCL system triggered specific learning processes, which had a positive incidence on their learning results.

From caging to rouse dynamics in polymer melts with intramolecular barriers: a critical test of the mode coupling theory

By means of computer simulations and solution of the equations of the mode coupling theory (MCT),we investigate the role of the intramolecular barriers on several dynamic aspects of nonentangled polymers. The investigated dynamic range extends from the caging regime characteristic of glass-formers to the relaxation of the chain Rouse modes. We review our recent work on this question,provide new results, and critically discuss the limitations of the theory. Solutions of the MCT for the structural relaxation reproduce qualitative trends of simulations for weak and moderate barriers. However, a progressive discrepancy is revealed as the limit of stiff chains is approached. This dis-agreement does not seem related with dynamic heterogeneities, which indeed are not enhanced by increasing barrier strength. It is not connected either with the breakdown of the convolution approximation for three-point static correlations, which retains its validity for stiff chains. These findings suggest the need of an improvement of the MCT equations for polymer melts. Concerning the relaxation of the chain degrees of freedom, MCT provides a microscopic basis for time scales from chain reorientation down to the caging regime. It rationalizes, from first principles, the observed deviations from the Rouse model on increasing the barrier strength. These include anomalous scaling of relaxation times, long-time plateaux, and nonmonotonous wavelength dependence of the mode correlators.

Dynamic arrest in polymer melts: competition between packing and intramolecular barriers

We present molecular dynamics simulations of a simple model for polymer melts with intramolecular barriers. We investigate structural relaxation as a function of the barrier strength. Dynamic correlators can be consistently analyzed within the framework of the mode coupling theory of the glass transition. Control parameters are tuned in order to induce a competition between general packing effects and polymer-specific intramolecular barriers as mechanisms for dynamic arrest. This competition yields unusually large values of the so-called mode coupling theory exponent parameter and rationalizes qualitatively different observations for simple bead-spring and realistic polymers. The systematic study of the effect of intramolecular barriers presented here also establishes a fundamental difference between the nature of the glass transition in polymers and in simple glass formers.

Estudi de noves estratègies encapsuladores d’antimalàrics i distribució de nanovectors polimèrics en Anopheles atroparvus

En aquest treball s’ha estudiat el comportament de compostos antimalàrics com els fàrmacs i els polímers en diferents situacions. Una de les barreres que ha estat identificada com a principal obstacle per a una millora de l’eficàcia dels compostos antimalàrics, és la limitació en la quantitat de fàrmac que pot ser encapsulada dins un liposoma, i que depèn de la seva solubilitat en medi aquós. Amb la inspiració de la descripció d’un nou tipus de nanocàpsules amb aplicacions oncològiques capaces d’encapsular grans quantitats de fàrmacs (protocells, Ashley et al., 2011). Els constructes formats per liposomes amb un nucli d’òxid de silici altament porós capaç de contenir el fàrmac, s’anomenen “protocells”, que en comparació als liposomes, tenen una major selectivitat i estabilitat, i permeten alliberar altes concentracions de droga directament al citosol de les cèl·lules cancerígenes. Aquest estudi es basa en la fabricació d’aquests nous nanovectors que continguin fàrmacs antimalàrics i té com a objectiu futur dirigir-los a eritròcits infectats per malària (pRBCs). Una altra part del treball és l’estudi de la distribució del polímer ISA-FITC en Anopheles atroparvus. Sabent que els polímers han estat utilitzats com a transportadors antimalàrics, es va pensar en l’opció d’eliminar el paràsit a dins del mateix mosquit, com una alternativa a tots el estudis realitzats fins ara centrats en les etapes d’infecció de l’hoste. Per aquest motiu es va idear l’experiment pensant en aquest polímer amb la intenció final de veure la seva localització en un mosquit Anopheles lliure del paràsit. OBJECTIUS: Determinació de la capacitat encapsuladora de tres tipus de nanopartícules, fabricades amb el mateix material però amb característiques de mida i càrrega diferents, incubant-les amb cinc fàrmacs antimalàrics. El blau de metilè, la primaquina, la cloroquina, la quinina i la curcumina, cadascun d’ells amb característiques de pH, solubilitat i estructura diferents. Alguns d’ells són fàrmacs que no s’han emprat en altres estudis degut a la seva toxicitat o elevada inespecificitat (la qual es pretén reduir un cop encapsulats en protocells). Construcció de “protocells” un cop determinada la millor nanopartícula encapsuladora i fàrmac candidat i determinació de la concentració de fàrmac que podien contenir, i el ritme d’alliberament d’aquest en PBS (simulant les condicions fisiològiques dels pRBCs). Estudi de la localització del polímer antimalàric ISA-FITC en l’anatomia del mosquit Anopheles Atroparvus. PROCEDIMENTS: Mètodes espectrofotomètrics Microscopia Cryo-electrònica de transmissió Microscopia confocal de fluorescència