Unifying Time to Contact Estimation and Collision Avoidance across Species

The -function and the -function are phenomenological models that are widely used in the context of timing interceptive actions and collision avoidance, respectively. Both models were previously considered to be unrelated to each other: is a decreasing function that provides an estimation of time-to-contact (ttc) in the early phase of an object approach; in contrast, has a maximum before ttc. Furthermore, it is not clear how both functions could be implemented at the neuronal level in a biophysically plausible fashion. Here we propose a new framework the corrected modified Tau function capable of predicting both -type ("") and -type ("") responses. The outstanding property of our new framework is its resilience to noise. We show that can be derived from a firing rate equation, and, as , serves to describe the response curves of collision sensitive neurons. Furthermore, we show that predicts the psychophysical performance of subjects determining ttc. Our new framework is thus validated successfully against published and novel experimental data. Within the framework, links between -type and -type neurons are established. Therefore, it could possibly serve as a model for explaining the co-occurrence of such neurons in the brain.

Unifying Time to Contact Estimation and Collision Avoidance across Species

The -function and the -function are phenomenological models that are widely used in the context of timing interceptive actions and collision avoidance, respectively. Both models were previously considered to be unrelated to each other: is a decreasing function that provides an estimation of time-to-contact (ttc) in the early phase of an object approach; in contrast, has a maximum before ttc. Furthermore, it is not clear how both functions could be implemented at the neuronal level in a biophysically plausible fashion. Here we propose a new framework- the corrected modified Tau function- capable of predicting both -type ("") and -type ("") responses. The outstanding property of our new framework is its resilience to noise. We show that can be derived from a firing rate equation, and, as , serves to describe the response curves of collision sensitive neurons. Furthermore, we show that predicts the psychophysical performance of subjects determining ttc. Our new framework is thus validated successfully against published and novel experimental data. Within the framework, links between -type and -type neurons are established. Therefore, it could possibly serve as a model for explaining the co-occurrence of such neurons in the brain.

Single period Markowitz portfolio selection, performance gauging and duality: a variation on Luenberger's shortage function

Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.

Embedding theorems of function classes, IV

Vegeu el resum a l'inici del document del fitxer adjunt

Embedding theorems of function classes, II

Vegeu el resum a l'inici del document del fitxer adjunt.

The period function of the generalized Lotka-Volterra centers

"Vegeu el resum a l'inici del document del fitxer adjunt"

Embedding theorems of function classes, I

"Vegeu el resum a l'inici del document del fitxer adjunt."

The third order Melnikov function of a quadratic center under quadratic perturbation

We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at most to three limit cycles.

Estudi de les alteracions en la capacitat neuroprotectora dels astròcits reactius en l'envelliment

En el periodo 2005-2008 hemos publicado tres artículos sobre las alteraciones de los astrocitos reactivos en el cerebro durante el envejecimiento. En el primer estudio, evaluamos la capacidad neuroprotectora de los astrocitos en un modelo experimental in vitro de envejecimiento. Los cambios en el estrés oxidativo, la captación del glutamato y la expresión proteica fueron evaluados en los astrocitos corticales de rata cultivados durante 10 y 90 días in vitro (DIV). Los astrocitos envejecidos tenían una capacidad reducida de mantener la supervivencia neuronal. Estos resultados indican que los astrocitos pueden perder parcialmente su capacidad neuroprotectora durante el envejecimiento. En el segundo estudio el factor neurotrófico derivado de la línea glial (GDNF) fue probado para observar sus efectos neurotróficos contra la atrofia neuronal que causa déficits cognitivos en la vejez. Las ratas envejecidas Fisher 344 con deficiencias en el laberinto de Morris recibieron inyecciones intrahippocampales de un vector lentiviral que codifica GDNF humano en los astrocitos o del mismo vector que codifica la proteína fluorescente verde humana como control. El GDNF secretado por los astrocitos mejoró la función de la neurona como se muestra por aumentos locales en la síntesis de los neurotransmisores acetilcolina, dopamina y serotonina. El aprendizaje espacial y la prueba de memoria demostraron un aumento significativo en las capacidades cognitivas debido a la exposición de GDNF, mientras que las ratas control mantuvieron sus resultados al nivel del azar. Estos resultados confirman el amplio espectro de la acción neurotrófica del GDNF y abre nuevas posibilidades de terapia génica para reducir la neurodegeneración asociada al envejecimiento. En el último estudio, examinamos cambios en la fosforilación de tau, el estrés oxidativo y la captación de glutamato en los cultivos primarios de astrocitos corticales de ratones neonatos de senescencia acelerada (SAMP8) y ratones resistentes a la senescencia (SAMR1). Nuestros resultados indican que las alteraciones en cultivos del astrocitos de los ratones SAMP8 son similares a las detectadas en cerebros enteros de los ratones SAMP8 de 1-5 meses de edad. Por otra parte, nuestros resultados sugieren que esta preparación in vitro es adecuada para estudiar en este modelo murino el envejecimiento temprano y sus procesos moleculares y celulares.

A new look at the Heston characteristic function

A new expression for the characteristic function of log-spot in Heston model is presented. This expression more clearly exhibits its properties as an analytic characteristic function and allows us to compute the exact domain of the moment generating function. This result is then applied to the volatility smile at extreme strikes and to the control of the moments of spot. We also give a factorization of the moment generating function as product of Bessel type factors, and an approximating sequence to the law of log-spot is deduced.

Aspects of Iwasawa theory over function fields

"Vegeu el resum a l'inici del document del fitxer adjunt."

Cirp function and characterisation in RNA and microRNAs

In order to search for novel genes involved in cell proliferation, the hypothesis was that by infecting primary cells with a cDNA library of immortal cells would render immortalizing genes. Consequently it has been discovered CIRP (Cold inducible RNA-binding protein). Mammalian cells exposed to mild hypothermia show a general inhibition of protein synthesis and a concomitant increase in the expression of a small number of cold-shock mRNAs and proteins. Rbm3, another RNA binding protein belonging to the same family, has been postulated to facilitate protein synthesis at mild cold shock. To investigate if the same occurs for CIRP, CIRP was overexpressed in primary cells and protein sintesis was measured. Interestingly, CIRP increased protein synthesis, however, such increase did not involve an increase in the polysome fraction or affected the ribosome profile. In addition, the effect caused by CIRP inhibition or knockdown was also analyzed. Different siRNAs against CIRP were tested. Once checked their efficiency by decreasing CIRP at mRNA and protein levels, proliferation was tested by BrdU, cell number (DAPI) and proliferation curves were performed. Interestingly, CIRP provoke a decreased proliferation in primary cells: MEFs, HMEC; and cancer cells: TERA2 and HeLa. In conclusion, we describe for the first time that CIRP bypasses replicative senescence when over-expressed at physiological temperature (37ºC) by increasing a general protein synthesis. This effect is achieved through ERK1/2 activation in MEFs.The decrease in growth rate found in mammalian cells treated with mild cold stress is not entirely attributable to arrested metabolism. This decrease may also involve an active process in which CIRP and other stress-responsive proteins play a fundamental role in stimulating proliferation. Although most cell proteins are down-regulated or inhibited with cold stress, CIRP is activated to maintain cells in an active proliferative status and its overexpression at 37°C might be potentially oncogenic.