Nonsymmetrical separations in thermal diffusion columns

The influence of the feed composition upon the actual degrees of separation attained at the top and bottom sections of a thermogravitational column is discussed using the classical phenomenological theory of Furry, Jones, and Onsager. It is shown that, except for a feed composition of C 0 = 0.5 (mass fraction), the separation profile is nonsymmetric, i.e., the separations in the top and bottom sections of the column are nonsymmetric with respect to the feed composition, the asymmetry increasing as the feed composition moves away from C 0 = 0.5. An equation for the determination of the optimum feed location as a function of the feed composition is derived.

The application of the equivalent annulus width concept in thermal diffusion separations

The equivalent annulus width concept is used to characterize a small commercial thermogravitational hermal diffusion column and its validity checked experimentally by separating batchwise in the column mixtures of n-heptanebenzene with different initial concentrations. The equation of Ruppell and Coull was used to analyse the data in the short separation times range and determine the equivalent annulus width. Good agreement was obtained between the experimental and predicted time-separation curves when using the equivalent annulus width value and on averaged value of the thermal diffusion constant. A new method is presented for the simultaneous determination of the equivalent annulus width and the thermal diffusion constant of a binary mixture from a single set of experimental data.

Recent brazilian experience on farmer reaction and crop response to fertilizer use

(1) In the period 1965/77 fertilizer consumption in Brazil increased nearly fifteen foild from circa 200,000 tons of N + P2O5 + K2O to 3 million tons. During the fifteen years extending from 1950 to 1964 usage of the primary macronutrients was raised by a factor of 2 only. (2) Several explanations are given for the remarkable increase, namely: an experimental background which supplied data for recommendations of rates, time and type of application; a convenient governmental policy for minimum prices and rural credit; capacity of the industry to meet the demand of the fertilizer market; an adequate mechanism for the diffusion of the practice of fertilizer use to the farmer. (3) The extension work, which has caused a permanent change in the aptitude towards fertilization, was carried out in the traditional way by salesmen supported by a technical staff, as well as by agronomists of the official services. (4) Two new programs were started and conducted in a rather short time, both putting emphasis on the relatively new technology of fertilizer use. (5) The first program, conducted in the Southern part of the country, extended lab and green house work supplemented by a few field trials to small land owners - the so called "operação tatú" (operation armadillo). (6) The seconde program, covering a larger problem area in the Northeast and in Central Brazil, began directly in field as thousands of demonstrations and simple experiments with the participation of local people whose involvement was essential for the success of the initiative; in this case the official extension services, both foreign and national sources of funds, and universities did participate under the leadership of the Brazilian Association for the Diffusion of Fertilizers (ANDA). (7) It is felt that the Brazilian experience gained thereof could be useful to other countries under similar conditions.

Numerical schemes of diffusion asymptotics and moment closures for kinetic equations

We investigate different models that are intended to describe the small mean free path regime of a kinetic equation, a particular attention being paid to the moment closure by entropy minimization. We introduce a specific asymptotic-induced numerical strategy which is able to treat the stiff terms of the asymptotic diffusive regime. We evaluate on numerics the performances of the method and the abilities of the reduced models to capture the main features of the full kinetic equation.

A mixed finite element method for nonlinear diffusion equations

We propose a mixed finite element method for a class of nonlinear diffusion equations, which is based on their interpretation as gradient flows in optimal transportation metrics. We introduce an appropriate linearization of the optimal transport problem, which leads to a mixed symmetric formulation. This formulation preserves the maximum principle in case of the semi-discrete scheme as well as the fully discrete scheme for a certain class of problems. In addition solutions of the mixed formulation maintain exponential convergence in the relative entropy towards the steady state in case of a nonlinear Fokker-Planck equation with uniformly convex potential. We demonstrate the behavior of the proposed scheme with 2D simulations of the porous medium equations and blow-up questions in the Patlak-Keller-Segel model.

A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics

To describe the collective behavior of large ensembles of neurons in neuronal network, a kinetic theory description was developed in [13, 12], where a macroscopic representation of the network dynamics was directly derived from the microscopic dynamics of individual neurons, which are modeled by conductance-based, linear, integrate-and-fire point neurons. A diffusion approximation then led to a nonlinear Fokker-Planck equation for the probability density function of neuronal membrane potentials and synaptic conductances. In this work, we propose a deterministic numerical scheme for a Fokker-Planck model of an excitatory-only network. Our numerical solver allows us to obtain the time evolution of probability distribution functions, and thus, the evolution of all possible macroscopic quantities that are given by suitable moments of the probability density function. We show that this deterministic scheme is capable of capturing the bistability of stationary states observed in Monte Carlo simulations. Moreover, the transient behavior of the firing rates computed from the Fokker-Planck equation is analyzed in this bistable situation, where a bifurcation scenario, of asynchronous convergence towards stationary states, periodic synchronous solutions or damped oscillatory convergence towards stationary states, can be uncovered by increasing the strength of the excitatory coupling. Finally, the computation of moments of the probability distribution allows us to validate the applicability of a moment closure assumption used in [13] to further simplify the kinetic theory.

Targeting anticancer therapy : clinical and preclinical approaches

AbstractCancer treatment has shifted from cytotoxic and nonspecific chemotherapy to chronic treatment with targeted molecular therapies. These new classes of drugs directed against cancer-specific molecules and signaling pathways, act at a particular level of the tumor cell development. However, in both types of therapeutic approaches (standard cytotoxic chemotherapy and targeted signal transduction inhibitions), toxicity and side effects can occur. The aim of this thesis was to investigate various approaches to improve the activity and tolerability of cancer treatment, in a clinical setting, a) by molecular targeting through the use of tyrosine kinase inhibitors (TKIs), whose dosage can be adapted to each patient according to plasma levels, and, b) in a preclinical model, by tissue targeting with locoregional administration of cytotoxic chemotherapy to increase drug exposure in the target tissue while reducing systemic toxicity of the treatment.A comprehensive program for the Therapeutic Drug Monitoring (TDM) of the new class of targeted anticancer drugs of TKIs in patient's blood has been therefore initiated comprising the setting up, validation and clinical application of a multiplex assay by liquid chromatography coupled to tandem mass spectrometry of TKIs in plasma from cancer patients. Information on drugs exposure may be clinically useful for an optimal follow-up of patients' anticancer treatment, especially in case of less than optimal clinical response, occurrence of adverse drug reaction effects and the numerous risks of drug-drug interactions. In this context, better knowledge of the potential drug interactions between TKIs and widely prescribed co- medications is of critical importance for clinicians, to improve their daily care of cancer patients. For one of the first TKI imatinib, TDM interpretation is nowadays based on total plasma concentrations but, only the unbound (free) form is likely to enter cell to exert its pharmacological action. Pharmacokinetic analysis of the total and free plasma level of imatinib measured simultaneously in patients have allowed to refine and validate a population pharmacokinetic model integrating factors influencing in patients the exposure of pharmacological active species. The equation developed from this model may be used for extrapolating free imatinib plasma concentration based on the total plasma levels that are currently measured in TDM from patients. Finally, the specific influence of Pglycoprotein on the intracellular disposition of TKIs has been studies in cell systems using the siRNA silencing approach.Another approach to enhance the selectivity of anticancer treatment may be achieved by the loco-regional administration of a cytostatic agent to the target organ while sparing non- affected tissues. Isolated lung perfusion (ILP) was designed for the treatment of loco-regional malignancies of the lung but clinical results have been so far disappointing. It has been shown in a preclinical model in rats that ILP with the cytotoxic agent doxorubicin alone allows a high drug uptake in lung tissue, and a low systemic toxicity, but was characterized by a high spatial tissular heterogeneity in drug exposure and doxorubicin uptake in tumor was comparatively smaller than in normal lung tissue. Photodynamic therapy (PDT) is a new approach for the treatment of superficial tumors, and implies the application of a sensitizer activated by a laser light at a specific wavelength, that disrupts endothelial barrier of tumor vessels to increase locally the distribution of cytostatics into the tumor tissue. PDT pre-treatment before intravenous administration of liposomal doxorubicin was indeed shown to selectively increase drug uptake in tumors in a rat model of sarcoma tumors to the lung.RésuméLe traitement de certains cancers s'est progressivement transformé et est passé de la chimiothérapie, cytotoxique et non spécifique, au traitement chronique des patients avec des thérapies moléculaires ciblées. Ces médicaments ont une action ciblée en interférant à un niveau spécifique du développement de la cellule tumorale. Dans les deux types d'approches thérapeutiques (chimiothérapie cytotoxique et traitements ciblés), on est confronté à la présence de toxicité et aux effets secondaires du traitement anticancéreux. Le but de cette thèse a donc été d'étudier diverses approches visant à améliorer l'efficacité et la tolérabilité du traitement anticancéreux, a) dans le cadre d'une recherche clinique, par le ciblage moléculaire grâce aux inhibiteurs de tyrosines kinases (TKIs) dont la posologie est adaptée à chaque patient, et b) dans un modèle préclinique, par le ciblage tissulaire grâce à l'administration locorégionale de chimiothérapie cytotoxique, afin d'augmenter l'exposition dans le tissu cible et de réduire la toxicité systémique du traitement.Un programme de recherche sur le suivi thérapeutique (Therapeutic Drug Monitoring, TDM) des inhibiteurs de tyrosine kinases a été ainsi mis en place et a impliqué le développement, la validation et l'application clinique d'une méthode multiplex par chromatographie liquide couplée à la spectrométrie de masse en tandem des TKIs chez les patients souffrant de cancer. L'information fournie par le TDM sur l'exposition des patients aux traitements ciblés est cliniquement utile et est susceptible d'optimiser la dose administrée, notamment dans les cas où la réponse clinique au traitement des patients est sous-optimale, en présence d'effets secondaires du traitement ciblé, ou lorsque des risques d'interactions médicamenteuses sont suspectés. Dans ce contexte, l'étude des interactions entre les TKIs et les co-médications couramment associées est utile pour les cliniciens en charge d'améliorer au jour le jour la prise en charge du traitement anticancéreux. Pour le premier TKI imatinib, l'interprétation TDM est actuellement basée sur la mesure des concentrations plasmatiques totales alors que seule la fraction libre (médicament non lié aux protéines plasmatiques circulantes) est susceptible de pénétrer dans la cellule pour exercer son action pharmacologique. L'analyse pharmacocinétique des taux plasmatiques totaux et libres d'imatinib mesurés simultanément chez les patients a permis d'affiner et de valider un modèle de pharmacocinétique de population qui intègre les facteurs influençant l'exposition à la fraction de médicament pharmacologiquement active. L'équation développée à partir de ce modèle permet d'extrapoler les concentrations libres d'imatinib à partir des concentrations plasmatiques totales qui sont actuellement mesurées lors du TDM des patients. Finalement, l'influence de la P-glycoprotéine sur la disposition cellulaire des TKIs a été étudiée dans un modèle cellulaire utilisant l'approche par la technologie du siRNA permettant de bloquer sélectivement l'expression du gène de cette protéine d'efflux des médicaments.Une autre approche pour augmenter la sélectivité du traitement anticancéreux consiste en une administration loco-régionale d'un agent cytostatique directement au sein de l'organe cible tout en préservant les tissus sains. La perfusion isolée du poumon (ILP) a été conçue pour le traitement loco-régional des cancers affectant les tissus pulmonaires mais les résultats cliniques ont été jusqu'à ce jour décevants. Dans des modèles précliniques chez le rat, il a pu être démontré que l'ILP avec la doxorubicine, un agent cytotoxique, administré seul, permet une exposition élevée au niveau du tissu pulmonaire, et une faible toxicité systémique. Toutefois, cette technique est caractérisée par une importante variabilité de la distribution dans les tissus pulmonaires et une pénétration du médicament au sein de la tumeur comparativement plus faible que dans les tissus sains.La thérapie photodynamique (PDT) est une nouvelle approche pour le traitement des tumeurs superficielles, qui consiste en l'application d'un agent sensibilisateur activé par une lumière laser de longueur d'onde spécifique, qui perturbe l'intégrité physiologique de la barrière endothéliale des vaisseaux alimentant la tumeur et permet d'augmenter localement la pénétration des agents cytostatiques.Nos études ont montré qu'un pré-traitement par PDT permet d'augmenter sélectivement l'absorption de doxorubicine dans les tumeurs lors d'administration i.v. de doxorubicine liposomale dans un modèle de sarcome de poumons de rongeurs.Résumé large publicDepuis une dizaine d'année, le traitement de certains cancers s'est progressivement transformé et les patients qui devaient jusqu'alors subir des chimiothérapies, toxiques et non spécifiques, peuvent maintenant bénéficier de traitements chroniques avec des thérapies ciblées. Avec les deux types d'approches thérapeutiques, on reste cependant confronté à la toxicité et aux effets secondaires du traitement.Le but de cette thèse a été d'étudier chez les patients et dans des modèles précliniques les diverses approches visant à améliorer l'activité et la tolérance des traitements à travers un meilleur ciblage de la thérapie anticancéreuse. Cet effort de recherche nous a conduits à nous intéresser à l'optimisation du traitement par les inhibiteurs de tyrosines kinases (TKIs), une nouvelle génération d'agents anticancéreux ciblés agissant sélectivement sur les cellules tumorales, en particulier chez les patients souffrant de leucémie myéloïde chronique et de tumeurs stromales gastro-intestinales. L'activité clinique ainsi que la toxicité de ces TKIs paraissent dépendre non pas de la dose de médicament administrée, mais de la quantité de médicaments circulant dans le sang auxquelles les tumeurs cancéreuses sont exposées et qui varient beaucoup d'un patient à l'autre. A cet effet, nous avons développé une méthode par chromatographie couplée à la spectrométrie de masse pour mesurer chez les patients les taux de médicaments de la classe des TKIs dans la perspective de piloter le traitement par une approche de suivi thérapeutique (Therapeutic Drug Monitoring, TDM). Le TDM repose sur la mesure de la quantité de médicament dans le sang d'un patient dans le but d'adapter individuellement la posologie la plus appropriée: des quantités insuffisantes de médicament dans le sang peuvent conduire à un échec thérapeutique alors qu'un taux sanguin excessif peut entraîner des manifestations toxiques.Dans une seconde partie préclinique, nous nous sommes concentrés sur l'optimisation de la chimiothérapie loco-régionale dans un modèle de sarcome du poumon chez le rat, afin d'augmenter l'exposition dans la tumeur tout en réduisant la toxicité dans les tissus non affectés.La perfusion isolée du poumon (ILP) permet d'administrer un médicament anticancéreux cytotoxique comme la doxorubicine, sélectivement au niveau le tissu pulmonaire où sont généralement localisées les métastases de sarcome. L'administration par ILP de doxorubicine, toxique pour le coeur, a permis une forte accumulation des médicaments dans le poumon, tout en épargnant le coeur. Il a été malheureusement constaté que la doxorubicine ne pénètre que faiblement dans la tumeur sarcomateuse, témoignant des réponses cliniques décevantes observées avec cette approche en clinique. Nous avons ainsi étudié l'impact sur la pénétration tumorale de l'association d'une chimiothérapie cytotoxique avec la thérapie photodynamique (PDT) qui consiste en l'irradiation spécifique du tissu-cible cancéreux, après l'administration d'un agent photosensibilisateur. Dans ce modèle animal, nous avons observé qu'un traitement par PDT permet effectivement d'augmenter de façon sélective l'accumulation de doxorubicine dans les tumeurs lors d'administration intraveineuse de médicament.

Devolatilization-induced pressure build-up: Implications for reaction front movement and breccia pipe formation

Generation of fluids during metamorphism can significantly influence the fluid overpressure, and thus the fluid flow in metamorphic terrains. There is currently a large focus on developing numerical reactive transport models, and with it follows the need for analytical solutions to ensure correct numerical implementation. In this study, we derive both analytical and numerical solutions to reaction-induced fluid overpressure, coupled to temperature and fluid flow out of the reacting front. All equations are derived from basic principles of conservation of mass, energy and momentum. We focus on contact metamorphism, where devolatilization reactions are particularly important owing to high thermal fluxes allowing large volumes of fluids to be rapidly generated. The analytical solutions reveal three key factors involved in the pressure build-up: (i) The efficiency of the devolatilizing reaction front (pressure build-up) relative to fluid flow (pressure relaxation), (ii) the reaction temperature relative to the available heat in the system and (iii) the feedback of overpressure on the reaction temperature as a function of the Clapeyron slope. Finally, we apply the model to two geological case scenarios. In the first case, we investigate the influence of fluid overpressure on the movement of the reaction front and show that it can slow down significantly and may even be terminated owing to increased effective reaction temperature. In the second case, the model is applied to constrain the conditions for fracturing and inferred breccia pipe formation in organic-rich shales owing to methane generation in the contact aureole.

Negative control of keratinocyte differentiation by Rho/CRIK signaling coupled with up-regulation of KyoT1/2 (FHL1) expression.

Rho GTPases integrate control of cell structure and adhesion with downstream signaling events. In keratinocytes, RhoA is activated at early times of differentiation and plays an essential function in establishment of cell-cell adhesion. We report here that, surprisingly, Rho signaling suppresses downstream gene expression events associated with differentiation. Similar inhibitory effects are exerted by a specific Rho effector, CRIK (Citron kinase), which is selectively down-modulated with differentiation, thereby allowing the normal process to occur. The suppressing function of Rho/CRIK on differentiation is associated with induction of KyoT1/2, a LIM domain protein gene implicated in integrin-mediated processes and/or Notch signaling. Like activated Rho and CRIK, elevated KyoT1/2 expression suppresses differentiation. Thus, Rho signaling exerts an unexpectedly complex role in keratinocyte differentiation, which is coupled with induction of KyoT1/2, a LIM domain protein gene with a potentially important role in control of cell self renewal.

A rapid assay for the coupled cell free generation of oxylipins

We developed a rapid and simple assay for the coupled in vitro synthesis of oxylipins using free unsaturated fatty acids as substrates. Reactions were catalysed with extracts expressed from living plant tissues. Preliminary experiments involving the cell free transformation of fatty acid hydroperoxides revealed that storage or pretreatment of the plant extract rapidly altered its capacity to catalyse the generation of oxidised fatty acid derivatives. This could reflect changes in oxylipin generation that might take place in situ in damaged plant cells during herbivory. All subsequent experiments were performed without dilution, titration or any other modification of the plant extract prior to its addition to the assay system. The assays were used to study, for the first time, tissue-specific differences in fatty acid transformation to divinyl ethers. Root tissues from tomato efficiently catalysed the formation of corneleic and colnelenic acids from linoleic acid and linolenic acids, respectively, whereas leaf, hypocotyl and cotyledon extracts did not promote the formation of these compounds. We observed the efficient generation of 9-oxo-nonanoic acid from the substrate linolenic acid and speculate that this aldehyde could arise either from the action of hydroperoxide lyase on 9-hydroperoxylinolenic acid or by a novel route involving cleavage of colnelenic acid which was also present among the products of the reaction. A potential role of divinyl ethers as substrates for the generation of toxic aldehydes is discussed

Wipe sampling procedure coupled to LC-MS/MS analysis for the simultaneous determination of 10 cytotoxic drugs on different surfaces.

A simple wipe sampling procedure was developed for the surface contamination determination of ten cytotoxic drugs: cytarabine, gemcitabine, methotrexate, etoposide phosphate, cyclophosphamide, ifosfamide, irinotecan, doxorubicin, epirubicin and vincristine. Wiping was performed using Whatman filter paper on different surfaces such as stainless steel, polypropylene, polystyrol, glass, latex gloves, computer mouse and coated paperboard. Wiping and desorption procedures were investigated: The same solution containing 20% acetonitrile and 0.1% formic acid in water gave the best results. After ultrasonic desorption and then centrifugation, samples were analysed by a validated liquid chromatography coupled to tandem mass spectrometry (LC-MS/MS) in selected reaction monitoring mode. The whole analytical strategy from wipe sampling to LC-MS/MS analysis was evaluated to determine quantitative performance. The lowest limit of quantification of 10 ng per wiping sample (i.e. 0.1 ng cm(-2)) was determined for the ten investigated cytotoxic drugs. Relative standard deviation for intermediate precision was always inferior to 20%. As recovery was dependent on the tested surface for each drug, a correction factor was determined and applied for real samples. The method was then successfully applied at the cytotoxic production unit of the Geneva University Hospitals pharmacy.

Diffusion on a solid surface: anomalous is normal

We present a numerical study of classical particles diffusing on a solid surface. The particles motion is modeled by an underdamped Langevin equation with ordinary thermal noise. The particle-surface interaction is described by a periodic or a random two-dimensional potential. The model leads to a rich variety of different transport regimes, some of which correspond to anomalous diffusion such as has recently been observed in experiments and Monte Carlo simulations. We show that this anomalous behavior is controlled by the friction coefficient and stress that it emerges naturally in a system described by ordinary canonical Maxwell-Boltzmann statistics.

Diffusion in spatially and temporarily inhomogeneous media

In this paper we consider diffusion of a passive substance C in a temporarily and spatially inhomogeneous two-dimensional medium. As a realization for the latter we choose a phase-separating medium consisting of two substances A and B, whose dynamics is determined by the Cahn-Hilliard equation. Assuming different diffusion coefficients of C in A and B, we find that the variance of the distribution function of the said substance grows less than linearly in time. We derive a simple identity for the variance using a probabilistic ansatz and are then able to identify the interface between A and B as the main cause for this nonlinear dependence. We argue that, finally, for very large times the here temporarily dependent diffusion "constant" goes like t-1/3 to a constant asymptotic value D¿. The latter is calculated approximately by employing the effective-medium approximation and by fitting the simulation data to the said time dependence.

From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations

We derive nonlinear diffusion equations and equations containing corrections due to fluctuations for a coarse-grained concentration field. To deal with diffusion coefficients with an explicit dependence on the concentration values, we generalize the Van Kampen method of expansion of the master equation to field variables. We apply these results to the derivation of equations of phase-separation dynamics and interfacial growth instabilities.

Semiclassical back reaction in the formation of a straight cosmic string

We derive the back reaction on the gravitational field of a straight cosmic string during its formation due to the gravitational coupling of the string to quantum matter fields. A very simple model of string formation is considered. The gravitational field of the string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a massless scalar quantum field coupled to the string gravitational field is computed to one loop order. Finally, the back-reaction effect is obtained by solving perturbatively the semiclassical Einsteins equations.