Radiotherapy Treatment Assessment using DCE-MRI

Abstract

The goal of modern radiotherapy is to precisely deliver a prescribed radiation dose to delineated target volumes that contain a significant amount of tumor cells while sparing the surrounding healthy tissues/organs. Precise delineation of treatment and avoidance volumes is the key for the precision radiation therapy. In recent years, considerable clinical and research efforts have been devoted to integrate MRI into radiotherapy workflow motivated by the superior soft tissue contrast and functional imaging possibility. Dynamic contrast-enhanced MRI (DCE-MRI) is a noninvasive technique that measures properties of tissue microvasculature. Its sensitivity to radiation-induced vascular pharmacokinetic (PK) changes has been preliminary demonstrated. In spite of its great potential, two major challenges have limited DCE-MRI’s clinical application in radiotherapy assessment: the technical limitations of accurate DCE-MRI imaging implementation and the need of novel DCE-MRI data analysis methods for richer functional heterogeneity information.

This study aims at improving current DCE-MRI techniques and developing new DCE-MRI analysis methods for particular radiotherapy assessment. Thus, the study is naturally divided into two parts. The first part focuses on DCE-MRI temporal resolution as one of the key DCE-MRI technical factors, and some improvements regarding DCE-MRI temporal resolution are proposed; the second part explores the potential value of image heterogeneity analysis and multiple PK model combination for therapeutic response assessment, and several novel DCE-MRI data analysis methods are developed.

I. Improvement of DCE-MRI temporal resolution. First, the feasibility of improving DCE-MRI temporal resolution via image undersampling was studied. Specifically, a novel MR image iterative reconstruction algorithm was studied for DCE-MRI reconstruction. This algorithm was built on the recently developed compress sensing (CS) theory. By utilizing a limited k-space acquisition with shorter imaging time, images can be reconstructed in an iterative fashion under the regularization of a newly proposed total generalized variation (TGV) penalty term. In the retrospective study of brain radiosurgery patient DCE-MRI scans under IRB-approval, the clinically obtained image data was selected as reference data, and the simulated accelerated k-space acquisition was generated via undersampling the reference image full k-space with designed sampling grids. Two undersampling strategies were proposed: 1) a radial multi-ray grid with a special angular distribution was adopted to sample each slice of the full k-space; 2) a Cartesian random sampling grid series with spatiotemporal constraints from adjacent frames was adopted to sample the dynamic k-space series at a slice location. Two sets of PK parameters’ maps were generated from the undersampled data and from the fully-sampled data, respectively. Multiple quantitative measurements and statistical studies were performed to evaluate the accuracy of PK maps generated from the undersampled data in reference to the PK maps generated from the fully-sampled data. Results showed that at a simulated acceleration factor of four, PK maps could be faithfully calculated from the DCE images that were reconstructed using undersampled data, and no statistically significant differences were found between the regional PK mean values from undersampled and fully-sampled data sets. DCE-MRI acceleration using the investigated image reconstruction method has been suggested as feasible and promising.

Second, for high temporal resolution DCE-MRI, a new PK model fitting method was developed to solve PK parameters for better calculation accuracy and efficiency. This method is based on a derivative-based deformation of the commonly used Tofts PK model, which is presented as an integrative expression. This method also includes an advanced Kolmogorov-Zurbenko (KZ) filter to remove the potential noise effect in data and solve the PK parameter as a linear problem in matrix format. In the computer simulation study, PK parameters representing typical intracranial values were selected as references to simulated DCE-MRI data for different temporal resolution and different data noise level. Results showed that at both high temporal resolutions (<1s) and clinically feasible temporal resolution (~5s), this new method was able to calculate PK parameters more accurate than the current calculation methods at clinically relevant noise levels; at high temporal resolutions, the calculation efficiency of this new method was superior to current methods in an order of 102. In a retrospective of clinical brain DCE-MRI scans, the PK maps derived from the proposed method were comparable with the results from current methods. Based on these results, it can be concluded that this new method can be used for accurate and efficient PK model fitting for high temporal resolution DCE-MRI.

II. Development of DCE-MRI analysis methods for therapeutic response assessment. This part aims at methodology developments in two approaches. The first one is to develop model-free analysis method for DCE-MRI functional heterogeneity evaluation. This approach is inspired by the rationale that radiotherapy-induced functional change could be heterogeneous across the treatment area. The first effort was spent on a translational investigation of classic fractal dimension theory for DCE-MRI therapeutic response assessment. In a small-animal anti-angiogenesis drug therapy experiment, the randomly assigned treatment/control groups received multiple fraction treatments with one pre-treatment and multiple post-treatment high spatiotemporal DCE-MRI scans. In the post-treatment scan two weeks after the start, the investigated Rényi dimensions of the classic PK rate constant map demonstrated significant differences between the treatment and the control groups; when Rényi dimensions were adopted for treatment/control group classification, the achieved accuracy was higher than the accuracy from using conventional PK parameter statistics. Following this pilot work, two novel texture analysis methods were proposed. First, a new technique called Gray Level Local Power Matrix (GLLPM) was developed. It intends to solve the lack of temporal information and poor calculation efficiency of the commonly used Gray Level Co-Occurrence Matrix (GLCOM) techniques. In the same small animal experiment, the dynamic curves of Haralick texture features derived from the GLLPM had an overall better performance than the corresponding curves derived from current GLCOM techniques in treatment/control separation and classification. The second developed method is dynamic Fractal Signature Dissimilarity (FSD) analysis. Inspired by the classic fractal dimension theory, this method measures the dynamics of tumor heterogeneity during the contrast agent uptake in a quantitative fashion on DCE images. In the small animal experiment mentioned before, the selected parameters from dynamic FSD analysis showed significant differences between treatment/control groups as early as after 1 treatment fraction; in contrast, metrics from conventional PK analysis showed significant differences only after 3 treatment fractions. When using dynamic FSD parameters, the treatment/control group classification after 1st treatment fraction was improved than using conventional PK statistics. These results suggest the promising application of this novel method for capturing early therapeutic response.

The second approach of developing novel DCE-MRI methods is to combine PK information from multiple PK models. Currently, the classic Tofts model or its alternative version has been widely adopted for DCE-MRI analysis as a gold-standard approach for therapeutic response assessment. Previously, a shutter-speed (SS) model was proposed to incorporate transcytolemmal water exchange effect into contrast agent concentration quantification. In spite of richer biological assumption, its application in therapeutic response assessment is limited. It might be intriguing to combine the information from the SS model and from the classic Tofts model to explore potential new biological information for treatment assessment. The feasibility of this idea was investigated in the same small animal experiment. The SS model was compared against the Tofts model for therapeutic response assessment using PK parameter regional mean value comparison. Based on the modeled transcytolemmal water exchange rate, a biological subvolume was proposed and was automatically identified using histogram analysis. Within the biological subvolume, the PK rate constant derived from the SS model were proved to be superior to the one from Tofts model in treatment/control separation and classification. Furthermore, novel biomarkers were designed to integrate PK rate constants from these two models. When being evaluated in the biological subvolume, this biomarker was able to reflect significant treatment/control difference in both post-treatment evaluation. These results confirm the potential value of SS model as well as its combination with Tofts model for therapeutic response assessment.

In summary, this study addressed two problems of DCE-MRI application in radiotherapy assessment. In the first part, a method of accelerating DCE-MRI acquisition for better temporal resolution was investigated, and a novel PK model fitting algorithm was proposed for high temporal resolution DCE-MRI. In the second part, two model-free texture analysis methods and a multiple-model analysis method were developed for DCE-MRI therapeutic response assessment. The presented works could benefit the future DCE-MRI routine clinical application in radiotherapy assessment.

Unnatural History: Ecological Temporality in Post-1945 American Literature

While environmental literary criticism has traditionally focused its attention on the textual representation of specific places, recent ecocritical scholarship has expanded this focus to consider the treatment of time in environmental literature and culture. As environmental scholars, activists, scientists, and artists have noted, one of the major difficulties in grasping the reality and implications of climate change is a limited temporal imagination. In other words, the ability to comprehend and integrate different shapes, scales, and speeds of history is a precondition for ecologically sustainable and socially equitable responses to climate change.

My project examines the role that literary works might play in helping to create such an expanded sense of history. As I show how American writers after 1945 have treated the representation of time and history in relation to environmental questions, I distinguish between two textual subfields of environmental temporality. The first, which I argue is characteristic of mainstream environmentalism, is disjunctive, with abrupt environmental changes separating the past and the present. This subfield contains many canonical works of postwar American environmental writing, including Aldo Leopold’s A Sand County Almanac, Edward Abbey’s Desert Solitaire, Annie Dillard’s Pilgrim at Tinker Creek, and Kim Stanley Robinson’s Science in the Capital trilogy. From treatises on the ancient ecological histories of particular sites to meditations on the speed of climate change, these works evince a preoccupation with environmental time that has not been acknowledged within the spatially oriented field of environmental criticism. However, by positing radical breaks between environmental pasts and environmental futures, they ultimately enervate the political charge of history and elide the human dimensions of environmental change, in terms both of environmental injustice and of possible social responses.

By contrast, the second subfield, which I argue is characteristic of environmental justice, is continuous, showing how historical patterns persist even across social and ecological transformations. I trace this version of environmental thought through a multicultural corpus of novels consisting of Ralph Ellison’s Invisible Man, Ishmael Reed’s Mumbo Jumbo, Helena María Viramontes’ Under the Feet of Jesus, Linda Hogan’s Solar Storms, and Octavia Butler’s Parable of the Sower and Parable of the Talents. Some of these novels do not document specific instances of environmental degradation or environmental injustice and, as a result, have not been critically interpreted as relevant for environmental analysis; others are more explicit in their discussion of environmental issues and are recognized as part of the canon of American environmental literature. However, I demonstrate that, across all of these texts, counterhegemonic understandings of history inform resistance to environmental degradation and exploitation. These texts show that environmental problems cannot be fully understood, nor environmental futures addressed, without recognizing the way that social histories of inequality and environmental histories of extraction continue to structure politics and ecology in the present.

Ultimately, then, the project offers three conclusions. First, it suggests that the second version of environmental temporality holds more value than the first for environmental cultural studies, in that it more compellingly and accurately represents the social implications of environmental issues. Second, it shows that “environmental literature” is most usefully understood not as the literature that explicitly treats environmental issues, but rather as the literature that helps to produce the sense of time that contemporary environmental crises require. Third, it shows how literary works can not only illuminate the relationship between American ideas about nature and social justice, but also operate as a specifically literary form of eco-political activism.

Spic'ing into Existence: Epitaph, Epithet, and the Ethnopoetic Imagination

Quién Es, Quién Somos? Spic’ing into Existence claims a four-fold close-reading: first, analysis of texts: from theoretical meditations to (prison) memoir and film. Second, a half dozen central figures appear, largely Latinx and black American. They cut across a score of registers, socio-economics, ideological reservations, but all are, as Carl Carlton sang, poetry in motion. Writers, poets, theologians, pathologists, artists, comedians, actors, students whose vocation is invocation, the inner surge of their calling. Third, the manuscript draws from a series of historical moments—from radical liberation of the late 60s, to contemporary student activism. Finally, this body of work is movement, in all its social, gestural, and kinesthetic viscera. From this last heading, we peel away layers of what I call the ethnopoet, the fascia undoing that reveals its bio-political anatomy, dressing its bare life with kinship speech. First, the social revolutions of the Civil Rights, Black Power, abolitionism, the Black Panthers and Young Lords, boycotts and jarring artistic performances. These events are superficial not in vain sense, but key epicenters of underground murmurings, the workings of a cunning assailant. She robs not lavish estates, but another day to breathe. Gesturally, as perhaps the interlocutor, lies this author, interspersing his own diatribes to conjure her presence. The final branch is admittedly the most intangible. Kinesthetically, we map the nimbleness, footwork lígera of what I call the ethnopoet. Ethnopoet is no mere aggregate of ethnicity and poetry, but like chemical reaction, the descriptor for its behavior under certain pressures, temperatures, and elements. Elusive and resisting confinement, and therefore definition, the ethnopoet is a shapeshifting figure of how racialized bodies [people of color] respond to hegemonic powers. She is, at bottom, however, a native translator, the plural-lensed subject whose loyalty is only to the imagination of a different world, one whose survival is not contingent upon her exploitation. The native translator’s constant re-calibrations of oppressive power apparatuses seem taxing at best, and near-impossible, at worst. To effectively navigate through these polarized loci, she must identify ideologies that in turn seek “affective liberatory sances” in relation to the dominant social order (43). In a kind of performative contradiction, she must marshall the knowledge necessary to “break with ideology” while speaking within it. Chicana Studies scholar, Chela Sandoval, describes this dual movement as “meta-ideologizing”: the appropriation of hegemonic ideological forms in order to transform them (82). Nuestros padres se subieron encima de La Bestia, y por eso somos pasageros a ese tren. Y ya, dentro su pansa, tenemos que ser vigilantes cuando plantamos las bombas. In Methodology of the Oppressed, Sandoval schematizes this oppositional consciousness around five principle categories: “equal rights,” “revolutionary,” “supremacist,” “separatist,” and “differential.” Taken by themselves, the first four modes appear mutually exclusive, incapable of occupying the same plane, until a fifth pillar emerges. Cinematographic in nature, differential consciousness, as Sandoval defines it, is “a kinetic motion that maneuvers, poetically transfigures, and orchestrates while demanding alienation, perversion, and reformation in both spectators and practitioners” (44). For Sandoval, then, differential consciousness is a methodology that privileges an incredible sense mobility, one reaching artistic sensibilities. Our fourth and final analytic of movement serves an apt example of this dual meaning. Lexically speaking, ‘movement’ may be regarded as a political mobilization of aggrieved populations (through sustained efforts), or the process of moving objects (people or otherwise) from one location to another. Praxis-wise, it is both action and ideal, content and form. Thus, an ethnic poetics must be regarded less as a series of stanzas, shortened lyric, or even arrangement of language, but as a lens through which peripheralized peoples kaleidecope ideological positions in an “original, eccentric, and queer sight” (43). Taking note of the advantages of postponing identifications, the thesis stands its ground on the term ethnopoet. Its abstraction is not dewey-eyed philosophy, but an anticipation of poetic justice, of what’s to come from callused hands. This thesis is divided into 7.5 chapters. The first maps out the ethnopoet’s cartographies of struggle. By revisiting that alleged Tío Tomas, Richard Rodriguez, we unearth the tensions that negatively, deny citizenship to one silo, but on the flipside, engender manifold ways of seeing, hearing, and moving . The second, through George Jackson’s prison memoirs, pans out from this ethnography of power, groping for an apparatus that feigns an impervious prestige: ‘the aesthetic regime of coercion.’ In half-way cut, the thesis sidesteps to spic into existence, formally announcing, through Aime Cesaire, myself, and Pedro Pietri, the poeticization of trauma. Such uplift denies New Age transcendence of self, but a rehearsal of our entrapment in these mortal envelopes. Thirdly, conscious of the bleeding ethnic body, we cut open the incipient corpse to observe her pathologist. Her native autopsies offer the ethnic body’s posthumous recognition, the ethnopoetics ability to speak for and through the dead. Chapter five examines prolific black artists—Beyonce and Kendrick Lamar—to elide the circumvention of their consumption via invoking radical black hi/her-stories, ones fragmenting the black body. Sixth, the paper compares the Black Power Salute of the 1968 Mexico City Olympics to Duke’s Mi Gente Boycott of their Latino Student Recruitment Weekend. Both wielded “silent gestures,” that shrewdly interfered with white noise of numbed negligence. Finally, ‘taking the mask off’ that are her functionalities, the CODA expounds on ethnopoet’s interiority, particularly after the rapid re-calibration of her politics. Through a rerun of El Chavo del Ocho, one of Mexican television’s most cherished shows, we tune into the heart-breaking indigence of barrio residents, only to marvel at the power of humor to, as Friday’s John Witherspoon put it, “fight another day.” This thesis is the tip of my tongue. Y por una vez, déjala que cante.

Análisis del cuerpo y la educación como objetos de la violencia simbólica : Un enfoque posible desde la mirada de Pierre Bourdieu

El artículo se propone analizar los conceptos cuerpo y educación, propuestos por Pierre Bourdieu, en diversas obras de su autoría. Centrando la mirada en los conceptos mencionados como recursos de dominación en manos de los Estados Modernos, el texto busca desarrollar la hipótesis reproductivista que asocia dichos términos al establecimiento y afianzamiento de un orden social determinado. Asumiendo una metodología histórica-hermenéutica basada en la revisión de fuentes primarias y secundarias, el objetivo del presente artículo radica en el rastreo de dichos conceptos a través de sus principales libros traducidos al castellano. Entre éstos se encuentran la compilación de artículos Capital cultural, escuela y espacio social; El sentido práctico y Meditaciones Pascalianas como escritos fundamentales a la hora de interpretar los conceptos de cuerpo y educación asociados a los recursos modernos de dominación. Al mismo tiempo, la propuesta de análisis incluye un diálogo con perspectivas relativamente contemporáneas a la obra de Bourdieu; entre estos se encuentran Foucault y Althusser, como autores cuyas propuestas teóricas pueden entreverarse con el enfoque de Bourdieu, enriqueciendo los debates teóricos hacia el interior del artículo.

Análisis del cuerpo y la educación como objetos de la violencia simbólica : Un enfoque posible desde la mirada de Pierre Bourdieu

El artículo se propone analizar los conceptos cuerpo y educación, propuestos por Pierre Bourdieu, en diversas obras de su autoría. Centrando la mirada en los conceptos mencionados como recursos de dominación en manos de los Estados Modernos, el texto busca desarrollar la hipótesis reproductivista que asocia dichos términos al establecimiento y afianzamiento de un orden social determinado. Asumiendo una metodología histórica-hermenéutica basada en la revisión de fuentes primarias y secundarias, el objetivo del presente artículo radica en el rastreo de dichos conceptos a través de sus principales libros traducidos al castellano. Entre éstos se encuentran la compilación de artículos Capital cultural, escuela y espacio social; El sentido práctico y Meditaciones Pascalianas como escritos fundamentales a la hora de interpretar los conceptos de cuerpo y educación asociados a los recursos modernos de dominación. Al mismo tiempo, la propuesta de análisis incluye un diálogo con perspectivas relativamente contemporáneas a la obra de Bourdieu; entre estos se encuentran Foucault y Althusser, como autores cuyas propuestas teóricas pueden entreverarse con el enfoque de Bourdieu, enriqueciendo los debates teóricos hacia el interior del artículo.

Near real time surface ocean velocity, Tyrrhenian Sea and Ligurian Sea in September 2016

The data set consists of maps of total velocity of the surface current in the North-Western Tyrrhenian Sea and Ligurian Sea averaged over a time interval of 1 hour around the cardinal hour. Surface ocean velocities estimated by HF Radar are representative of the upper 0.3-2.5 meters of the ocean. Total velocities are derived using least square fit that maps radial velocities measured from individual sites onto a cartesian grid. The final product is a map of the horizontal components of the ocean currents on a regular grid in the area of overlap of two or more radar stations.

Near real time surface ocean velocity in the Bay of Biscay - Basque Country from Mai to September 2016

The data set consists of maps of total velocity of the surface current in the Southeastern Bay of Biscay averaged over a time interval of 1 hour around the cardinal hour. Surface ocean velocities estimated by this HF Radar(4.65 MHz) are representative of the upper 2-3 meters of the ocean. The main objective of near real time processing is to produce the best product from available data at the time of processing. Total velocities are derived using least square fit that maps radial velocities measured from individual sites onto a cartesian grid. The final product is a map of the horizontal components of the ocean currents on a regular grid in the area of overlap of two or more radar stations.

Metaphysics of love in the religious philosophy of Pável Florensky

This article focuses on the analysis of the concept of love in the religious philosophy of Pavel Florensky, who shares the ontological approach to the consideration of love with other representatives of Russian religious philosophy (N. berdyaev and S. bulgakov). We pay more careful attention to the understanding of love-άγαπαν by Florensky. We have drawn the conclusion that, in the philosophy of P. Florensky, Love, closely connected with truth and beauty, is considered an ontological basis existence of personality. We develop the ideas of Pavel Florensky, and accordingly assume that it is possible to synthesise love-agape and love-eros around the idea of sacrificial love. Agapelogical and erotical ‘bezels’ of one jewel of love is aspects of united love, which is given by God. this gift of God, the gift of united love, is kept by humans through prayer and deeds of love.

La dimensión mítica de los personajes vanguardistas. Una reflexión en torno a la teoría de Ortega y Gasset

En el realismo de finales del XIX se consolida el desarrollo de los personajes novelescos, pero muy poco tiempo después se produce un giro en la narrativa hacia la abstracción que induce a Ortega y Gasset a reflexionar sobre cuáles son las características que definen un personaje literario. En Meditaciones del Quijote (1914), La deshumanización del arte e Ideas sobre la novela (ambos de 1925) hace un análisis histórico que concluye ofreciendo un diagnóstico de la literatura contemporánea. Muchos de los narradores vanguardistas, formados a su sombra, tienen en cuenta sus escritos y experimentan con sus propuestas. En este proceso el mito juega un papel principal, como sustancia de lo poético y como sustrato cultural de muchos de los protagonistas de la novela experimental de los años 20.

Justificación y error en Descartes: un argumento pragmatista en la validación cartesiana del criterio de claridad y distinción

La percepción clara y distinta es el elemento sobre el que se asienta la certeza metafísica de Descartes. Con todo, el planteamiento de los argumentos escépticos referidos a la duda metódica cartesiana ha evidenciado la necesidad de hallar una justificación al propio criterio de la percepción clara y distinta. Frente a los intentos basados en la indubitabilidad de la percepción o en la garantía surgida de la bondad divina, se defenderá una justificación alternativa pragmatista.

In my ‘Mind’s Eye’: introspectionism, detectivism, and the basis of authoritative self-knowledge

It is widely accepted that knowledge of certain of one’s own mental states is authoritative in being epistemically more secure than knowledge of the mental states of others, and theories of self-knowledge have largely appealed to one or the other of two sources to explain this special epistemic status. The first, ‘detectivist’, position, appeals to an inner perception-like basis, whereas the second, ‘constitutivist’, one, appeals to the view that the special security awarded to certain self-knowledge is a conceptual matter. I argue that there is a fundamental class of cases of authoritative self-knowledge, ones in which subjects are consciously thinking about their current, conscious intentional states, that is best accounted for in terms of a theory that is,
broadly speaking, introspectionist and detectivist. The position developed has an intuitive plausibility that has inspired many who work in the Cartesian tradition, and the potential to yield a single treatment of the basis of authoritative self-knowledge for both intentional states and sensation states.

In My 'Mind's Eye': Introspectionism, Detectivism, and the Basis of Authoritative Self-Knowledge

It is widely accepted that knowledge of certain of one’s own mental states is authoritative in being epistemically more secure than knowledge of the mental states of others, and theories of self-knowledge have largely appealed to one or the other of two sources to explain this special epistemic status. The first, ‘detectivist’, position, appeals to an inner perception-like basis, whereas the second, ‘constitutivist’, one, appeals to the view that the special security awarded to certain self-knowledge is a conceptual matter. I argue that there is a fundamental class of cases of authoritative self-knowledge, ones in which subjects are consciously thinking about their current, conscious intentional states, that is best accounted for in terms of a theory that is, broadly speaking, introspectionist and detectivist. The position developed has an intuitive plausibility that has inspired many who work in the Cartesian tradition, and the potential to yield a single treatment of the basis of authoritative self-knowledge for both intentional states and sensation states.

Heating the Early Universe : Numerical Methods and Their Analysis

During the epoch when the first collapsed structures formed (6<z<50) our Universe went through an extended period of changes. Some of the radiation from the first stars and accreting black holes in those structures escaped and changed the state of the Intergalactic Medium (IGM). The era of this global phase change in which the state of the IGM was transformed from cold and neutral to warm and ionized, is called the Epoch of Reionization.In this thesis we focus on numerical methods to calculate the effects of this escaping radiation. We start by considering the performance of the cosmological radiative transfer code C2-Ray. We find that although this code efficiently and accurately solves for the changes in the ionized fractions, it can yield inaccurate results for the temperature changes. We introduce two new elements to improve the code. The first element, an adaptive time step algorithm, quickly determines an optimal time step by only considering the computational cells relevant for this determination. The second element, asynchronous evolution, allows different cells to evolve with different time steps. An important constituent of methods to calculate the effects of ionizing radiation is the transport of photons through the computational domain or ``ray-tracing''. We devise a novel ray tracing method called PYRAMID which uses a new geometry - the pyramidal geometry. This geometry shares properties with both the standard Cartesian and spherical geometries. This makes it on the one hand easy to use in conjunction with a Cartesian grid and on the other hand ideally suited to trace radiation from a radially emitting source. A time-dependent photoionization calculation not only requires tracing the path of photons but also solving the coupled set of photoionization and thermal equations. Several different solvers for these equations are in use in cosmological radiative transfer codes. We conduct a detailed and quantitative comparison of four different standard solvers in which we evaluate how their accuracy depends on the choice of the time step. This comparison shows that their performance can be characterized by two simple parameters and that the C2-Ray generally performs best.

Integrating Mindfulness into Positive Psychology: a Randomised Controlled Trial of an Online Positive Mindfulness Program

The purpose of the present study was to test the efficacy of an 8-week online intervention-based Positive Mindfulness Program (PMP) that integrated mindfulness with a series of positive psychology variables, with a view to improving wellbeing scores measured in these variables. The positive mindfulness cycle, based on positive intentions and savouring, provides the theoretical foundation for the PMP. The study was based on a randomised wait-list controlled trial; and 168 participants (128 females, mean age = 40.82) completed the intervention which included daily videos, meditations, and activities. The variables tested included wellbeing measures, such as gratitude, self-compassion, self-efficacy, meaning, and autonomy. Pre- and post- intervention data, including one month after the end of the intervention, were collected from both experimental and control groups. The post-test measurements of the experimental participants showed a significant improvement in all the dependent variables compared with the pre-test ones and were also significantly higher than those of the control group. One month after the intervention, the experimental group participants retained their improvement in 10 out of the 11 measurements. These positive results indicate that PMP may be effective in enhancing wellbeing and other positive variables in adult, non-clinical populations.

Michel Maffesoli y la razón sensible: una argumentación postmoderna

Se establecen algunas coordenadas de análisis para inscribir la obra de Michel Maffesoli, reconocido sociólogo francés, en el contexto de la reflexión postmoderna. Maffesoli, desde sus primeras obras, se ha interesado por construir una perspectiva en las ciencias sociales que vaya más allá del modernismo cartesiano y positivista. Su propuesta metodológica incorpora temáticas afines al pensamiento postmoderno, en particular, lo correspondiente a un nuevo concepto de razón y de conocimiento. Abstract There are some guidelines for inscribe the Michels Maffesioli writings in the postmodern context ; since his first works he has shown a great interest for build a theoretical perspective for social sciences that go beyond from the modernism and positivism cartesian thought. His method proposal incorporates close thematic areas with the posmodern thought, especially the themes related with a new concept of reason and knowledge.