Improvement in visual search with practice: mapping learning-related changes in neurocognitive stages of processing.

Practice can improve performance on visual search tasks; the neural mechanisms underlying such improvements, however, are not clear. Response time typically shortens with practice, but which components of the stimulus-response processing chain facilitate this behavioral change? Improved search performance could result from enhancements in various cognitive processing stages, including (1) sensory processing, (2) attentional allocation, (3) target discrimination, (4) motor-response preparation, and/or (5) response execution. We measured event-related potentials (ERPs) as human participants completed a five-day visual-search protocol in which they reported the orientation of a color popout target within an array of ellipses. We assessed changes in behavioral performance and in ERP components associated with various stages of processing. After practice, response time decreased in all participants (while accuracy remained consistent), and electrophysiological measures revealed modulation of several ERP components. First, amplitudes of the early sensory-evoked N1 component at 150 ms increased bilaterally, indicating enhanced visual sensory processing of the array. Second, the negative-polarity posterior-contralateral component (N2pc, 170-250 ms) was earlier and larger, demonstrating enhanced attentional orienting. Third, the amplitude of the sustained posterior contralateral negativity component (SPCN, 300-400 ms) decreased, indicating facilitated target discrimination. Finally, faster motor-response preparation and execution were observed after practice, as indicated by latency changes in both the stimulus-locked and response-locked lateralized readiness potentials (LRPs). These electrophysiological results delineate the functional plasticity in key mechanisms underlying visual search with high temporal resolution and illustrate how practice influences various cognitive and neural processing stages leading to enhanced behavioral performance.

Mapping the structure of perceptual and visual-motor abilities in healthy young adults.

The ability to quickly detect and respond to visual stimuli in the environment is critical to many human activities. While such perceptual and visual-motor skills are important in a myriad of contexts, considerable variability exists between individuals in these abilities. To better understand the sources of this variability, we assessed perceptual and visual-motor skills in a large sample of 230 healthy individuals via the Nike SPARQ Sensory Station, and compared variability in their behavioral performance to demographic, state, sleep and consumption characteristics. Dimension reduction and regression analyses indicated three underlying factors: Visual-Motor Control, Visual Sensitivity, and Eye Quickness, which accounted for roughly half of the overall population variance in performance on this battery. Inter-individual variability in Visual-Motor Control was correlated with gender and circadian patters such that performance on this factor was better for males and for those who had been awake for a longer period of time before assessment. The current findings indicate that abilities involving coordinated hand movements in response to stimuli are subject to greater individual variability, while visual sensitivity and occulomotor control are largely stable across individuals.

A subcortical source of visual input to the frontal eye field

Many neurons in the frontal eye field (FEF) exhibit visual responses and are thought to play important roles in visuosaccadic behavior. The FEF, however, is far removed from striate cortex. Where do the FEF's visual signals come from? Usually they are reasonably assumed to enter the FEF through afferents from extrastriate cortex. Here we show that, surprisingly, visual signals also enter the FEF through a subcortical route: a disynaptic, ascending pathway originating in the intermediate layers of the superior colliculus (SC). We recorded from identified neurons at all three stages of this pathway (n=30-40 in each sample): FEF recipient neurons, orthodromically activated from the SC; mediodorsal thalamus (MD) relay neurons, antidromically activated from FEF and orthodromically activated from SC; and SC source neurons, antidromically activated from MD. We studied the neurons while monkeys performed delayed saccade tasks designed to temporally resolve visual responses from presaccadic discharges. We found, first, that most neurons at every stage in the pathway had visual responses, presaccadic bursts, or both. Second, we found marked similarities between the SC source neurons and MD relay neurons: in both samples, about 15% of the neurons had only a visual response, 10% had only a presaccadic burst, and 75% had both. In contrast, FEF recipient neurons tended to be more visual in nature: 50% had only a visual response, none had only a presaccadic burst, and 50% had both a visual response and a presaccadic burst. This suggests that in addition to their subcortical inputs, these FEF neurons also receive other visual inputs, e.g. from extrastriate cortex. We conclude that visual activity in the FEF results not only from cortical afferents but also from subcortical inputs. Intriguingly, this implies that some of the visual signals in FEF are pre-processed by the SC.

The frontal eye field sends predictively remapped visual signals to the superior colliculus

We perceive a stable visual world even though saccades often move our retinas. One way the brain may achieve a stable visual percept is through predictive remapping of visual receptive fields: just before a saccade, the receptive field of many neurons moves from its current location ("current receptive field") to the location it is expected to occupy after the saccade ("future receptive field"). Goldberg and colleagues found such remapping in cortical areas, e.g. in the frontal eye field (FEF), as well as in the intermediate layers of the superior colliculus (SC). In the present study we investigated the source of the SC's remapped visual signals. Do some of them come from the FEF? We identified FEF neurons that project to the SC using antidromic stimulation. For neurons with a visual response, we tested whether the receptive field shifted just prior to making a saccade. Saccadic amplitudes were chosen to be as small as possible while clearly separating the current and future receptive fields; they ranged from 5-30 deg. in amplitude and were directed contraversively. The saccadic target was a small red spot. We probed visual responsiveness at the current and future receptive field locations using a white spot flashed at various times before or after the saccade. Predictive remapping was indicated by a visual response to a probe flashed in the future receptive field just before the saccade began. We found that many FEF neurons projecting to the SC exhibited predictive remapping. Moreover, the remapping was as fast and strong as any previously reported for FEF or SC. It is clear, therefore, that remapped visual signals are sent from FEF to SC, providing direct evidence that the FEF is one source of the SC's remapped visual signals. Because remapping requires information about an imminent saccade, we hypothesize that remapping in FEF depends on corollary discharge signals such as those ascending from the SC through MD thalamus (Sommer and Wurtz 2002).

Influence of the thalamus on spatial visual processing in frontal cortex.

Each of our movements activates our own sensory receptors, and therefore keeping track of self-movement is a necessary part of analysing sensory input. One way in which the brain keeps track of self-movement is by monitoring an internal copy, or corollary discharge, of motor commands. This concept could explain why we perceive a stable visual world despite our frequent quick, or saccadic, eye movements: corollary discharge about each saccade would permit the visual system to ignore saccade-induced visual changes. The critical missing link has been the connection between corollary discharge and visual processing. Here we show that such a link is formed by a corollary discharge from the thalamus that targets the frontal cortex. In the thalamus, neurons in the mediodorsal nucleus relay a corollary discharge of saccades from the midbrain superior colliculus to the cortical frontal eye field. In the frontal eye field, neurons use corollary discharge to shift their visual receptive fields spatially before saccades. We tested the hypothesis that these two components-a pathway for corollary discharge and neurons with shifting receptive fields-form a circuit in which the corollary discharge drives the shift. First we showed that the known spatial and temporal properties of the corollary discharge predict the dynamic changes in spatial visual processing of cortical neurons when saccades are made. Then we moved from this correlation to causation by isolating single cortical neurons and showing that their spatial visual processing is impaired when corollary discharge from the thalamus is interrupted. Thus the visual processing of frontal neurons is spatiotemporally matched with, and functionally dependent on, corollary discharge input from the thalamus. These experiments establish the first link between corollary discharge and visual processing, delineate a brain circuit that is well suited for mediating visual stability, and provide a framework for studying corollary discharge in other sensory systems.

Visual imagery in autobiographical memory: The role of repeated retrieval in shifting perspective.

Recent memories are generally recalled from a first-person perspective whereas older memories are often recalled from a third-person perspective. We investigated how repeated retrieval affects the availability of visual information, and whether it could explain the observed shift in perspective with time. In Experiment 1, participants performed mini-events and nominated memories of recent autobiographical events in response to cue words. Next, they described their memory for each event and rated its phenomenological characteristics. Over the following three weeks, they repeatedly retrieved half of the mini-event and cue-word memories. No instructions were given about how to retrieve the memories. In Experiment 2, participants were asked to adopt either a first- or third-person perspective during retrieval. One month later, participants retrieved all of the memories and again provided phenomenology ratings. When first-person visual details from the event were repeatedly retrieved, this information was retained better and the shift in perspective was slowed.

Neural network evidence for the coupling of presaccadic visual remapping to predictive eye position updating

As we look around a scene, we perceive it as continuous and stable even though each saccadic eye movement changes the visual input to the retinas. How the brain achieves this perceptual stabilization is unknown, but a major hypothesis is that it relies on presaccadic remapping, a process in which neurons shift their visual sensitivity to a new location in the scene just before each saccade. This hypothesis is difficult to test in vivo because complete, selective inactivation of remapping is currently intractable. We tested it in silico with a hierarchical, sheet-based neural network model of the visual and oculomotor system. The model generated saccadic commands to move a video camera abruptly. Visual input from the camera and internal copies of the saccadic movement commands, or corollary discharge, converged at a map-level simulation of the frontal eye field (FEF), a primate brain area known to receive such inputs. FEF output was combined with eye position signals to yield a suitable coordinate frame for guiding arm movements of a robot. Our operational definition of perceptual stability was "useful stability,” quantified as continuously accurate pointing to a visual object despite camera saccades. During training, the emergence of useful stability was correlated tightly with the emergence of presaccadic remapping in the FEF. Remapping depended on corollary discharge but its timing was synchronized to the updating of eye position. When coupled to predictive eye position signals, remapping served to stabilize the target representation for continuously accurate pointing. Graded inactivations of pathways in the model replicated, and helped to interpret, previous in vivo experiments. The results support the hypothesis that visual stability requires presaccadic remapping, provide explanations for the function and timing of remapping, and offer testable hypotheses for in vivo studies. We conclude that remapping allows for seamless coordinate frame transformations and quick actions despite visual afferent lags. With visual remapping in place for behavior, it may be exploited for perceptual continuity.

Transformaciones productivas de la ganadería vacuna a patir de la expansión agrícola : su impacto en la demanda de mano de obra y la explotación familiar

En la llanura pampeana, los últimos años han estado marcados por una constante expansión de la producción, asociada a la difusión de una agricultura de alto rendimiento. La actividad ganadera ha sido relocalizada y relegada a los peores terrenos en función de liberar tierras a la producción de granos. No obstante, resiste, manteniendo los niveles de stock a partir de rediseñar procesos e intensificar algunas etapas productivas. El presente trabajo analiza y evalúa las variaciones en la ganadería vacuna pampeana, a partir de las transformaciones en la agricultura y su impacto en la ocupación de mano de obra y el empleo rural. El estudio se realizó en el partido de Azul, Argentina, representativo de áreas mixtas pampeanas. La metodología empleada contempló una triangulación metodológica mediante la conjunción de análisis de datos de fuentes secundarias, básicamente cuantitativos, con instancias cualitativas, tales como entrevistas a informantes calificados y estudios de caso. Se verificó un proceso de intensificación productiva que si bien ha permitido sostener la actividad en menos superficie, no ha expandido el empleo y en términos cualitativos ha aumentado la presión sobre los trabajadores ya existentes. La mano de obra requerida es permanente en relación a la naturaleza de la actividad, pero no demanda nuevas capacidades y resulta más simple en términos de manejo de procesos. Los engordes concentrados, si bien plantean cierta temporalidad en la cantidad de animales terminados durante el año, prefieren personal permanente con flexibilidad y capacidad de rotación en las labores, antes que transitorios. En relación a las formas familiares, los que persisten, también han transformado sus sistemas productivos, demostrando su capacidad de adaptación. Han diseñado sistemas estables y con buena rentabilidad, pero sin lograr expandir la base laboral, ya sea de origen familiar o asalariada.

Transformaciones productivas de la ganadería vacuna a patir de la expansión agrícola : su impacto en la demanda de mano de obra y la explotación familiar

En la llanura pampeana, los últimos años han estado marcados por una constante expansión de la producción, asociada a la difusión de una agricultura de alto rendimiento. La actividad ganadera ha sido relocalizada y relegada a los peores terrenos en función de liberar tierras a la producción de granos. No obstante, resiste, manteniendo los niveles de stock a partir de rediseñar procesos e intensificar algunas etapas productivas. El presente trabajo analiza y evalúa las variaciones en la ganadería vacuna pampeana, a partir de las transformaciones en la agricultura y su impacto en la ocupación de mano de obra y el empleo rural. El estudio se realizó en el partido de Azul, Argentina, representativo de áreas mixtas pampeanas. La metodología empleada contempló una triangulación metodológica mediante la conjunción de análisis de datos de fuentes secundarias, básicamente cuantitativos, con instancias cualitativas, tales como entrevistas a informantes calificados y estudios de caso. Se verificó un proceso de intensificación productiva que si bien ha permitido sostener la actividad en menos superficie, no ha expandido el empleo y en términos cualitativos ha aumentado la presión sobre los trabajadores ya existentes. La mano de obra requerida es permanente en relación a la naturaleza de la actividad, pero no demanda nuevas capacidades y resulta más simple en términos de manejo de procesos. Los engordes concentrados, si bien plantean cierta temporalidad en la cantidad de animales terminados durante el año, prefieren personal permanente con flexibilidad y capacidad de rotación en las labores, antes que transitorios. En relación a las formas familiares, los que persisten, también han transformado sus sistemas productivos, demostrando su capacidad de adaptación. Han diseñado sistemas estables y con buena rentabilidad, pero sin lograr expandir la base laboral, ya sea de origen familiar o asalariada.

Adaptación e implementación de recursos didácticos para la enseñanza de ecuaciones de primer y segundo grado a niños con discapacidad visual en un aula inclusiva

Los procedimientos, gráficos, operaciones y procesos en las matemáticas hacen necesaria la implementación de recursos didácticos que permitan facilitar el aprendizaje de los contenidos de ella. Por esto son indispensables en la enseñanza de las matemáticas como instrumentos de apoyo que favorecen el proceso de matematización y representación de ideas matemáticas. Esto es una gran dificultad para el niño con discapacidad visual ya que en la educación matemática hacen falta materiales didácticos adaptados lo cuales mejoren el ritmo de trabajo y rendimiento a la hora de aprender haciendo uso de una Didáctica Especial de la Matemática para ciegos que permita una adecuación de materiales pedagógicos e instrumental de trabajo para esta población.

Este libro es una obra de arte

El título corresponde a una cita de M. Morse que elogiaba de esa forma la aparición del libro el año 1941. En la contraportada de la edición española se recogen unas palabras de A. Einstein acerca de esta obra: «Una acertada exposición de los conceptos y métodos funda- mentales de la matemática. Constituye una introducción que puede leer sin dificultad el profano, en tanto que al iniciado en matemáticas le ofrece un panorama general de sus métodos y principios básicos». No son las únicas personalidades que hablan de ¿Qué es la matemática? en términos elogiosos. El Courant/Robbíns, como se le suele nombrar coloquialmente, se ha convertido en poco tiempo en un clásico entre las obras de introducción al pensamiento y métodos de las matemáticas.

La obra matemática de Luís A. Santaló

Me resulta muy agradable poder comentar la obra matemática de un gran amigo, Luis A. Santaló, con quien me encontré por primera vez siendo los dos estudiantes en Madrid, y con el que siempre he mantenido una entrañable amistad.

Trembling the plane of immanence: media arts philosophy and the re-vision of art (or what’s acoustics got to do with the visual?)

Invited lecture at the Royal Academy of Art.