Critical behavior of su(1|1) supersymmetric spin chains with long-range interactions

We introduce a general class of su(1|1) supersymmetric spin chains with long-range interactions which includes as particular cases the su(1|1) Inozemtsev (elliptic) and Haldane-Shastry chains, as well as the XX model. We show that this class of models can be fermionized with the help of the algebraic properties of the su(1|1) permutation operator and take advantage of this fact to analyze their quantum criticality when a chemical potential term is present in the Hamiltonian. We first study the low-energy excitations and the low-temperature behavior of the free energy, which coincides with that of a (1+1)-dimensional conformal field theory (CFT) with central charge c=1 when the chemical potential lies in the critical interval (0,E(π)), E(p) being the dispersion relation. We also analyze the von Neumann and Rényi ground state entanglement entropies, showing that they exhibit the logarithmic scaling with the size of the block of spins characteristic of a one-boson (1+1)-dimensional CFT. Our results thus show that the models under study are quantum critical when the chemical potential belongs to the critical interval, with central charge c=1. From the analysis of the fermion density at zero temperature, we also conclude that there is a quantum phase transition at both ends of the critical interval. This is further confirmed by the behavior of the fermion density at finite temperature, which is studied analytically (at low temperature), as well as numerically for the su(1|1) elliptic chain.

Molécula HLA-G y su importancia en la inmunorregulación de la unidad feto-materna. Aplicaciones en inmunoterapia celular

OBJETIVOS El objetivo principal de esta tesis doctoral consiste en determinar la presencia de la proteína HLA-G en la superficie celular de células madre CD34/CD133, células dendríticas mieloides y plasmacitoides, células dendríticas derivadas de células CD34/CD133 y derivadas de monocitos de sangre de cordón umbilical y sangre periférica materna, por técnicas de citometría de flujo y la expresión de la proteína HLA-G soluble en plasma de sangre de cordón umbilical por técnicas de ELISA. MATERIALES Y METODOS Se obtuvo un total de 35 unidades de sangre de cordón umbilical y 35 muestras de sangre periférica de gestantes a término que acudieron al Servicio de Ginecología y Obstetricia del Hospital Clínico Universitario San Carlos con cesáreas programadas, según aprobación de Comité Ético. Se realizaron técnicas de cultivo celular, citometría de flujo, Elisa y anticuerpos monoclonales, según protocolo, para la obtención de las células madre CD34+, células dendríticas mieloides y plasmacitoides del cordón umbilical y células dendríticas derivadas de células madre CD34+, y determinación de la molécula HLA-G, isoformas, nuevos alelos y polimorfismos...

Estudio genético HLA en poblaciones iraníes: epidemiología, antropología y farmacogenética

The HLA system is the most polymorphic genetic system described in humans. It consists of several closely linked loci encoding cell surface glycoproteins whose best known function is activating immune system response through antigenic presentation. New loci and new alleles have been described since the discovery of this genetic system and the presently available DNA typing and sequencing of these new alleles have increased the variety of HLA allelism. Due to the fact that HLA gene frequencies have a large degree of variability and a remarkable geographical correlation, HLA genes are an important and useful tool to infer genetic background and ethnical composition of modern human populations and also for tracing migration of ancient ones. In addition, certain combinations of contiguous alleles due to the strong linkage disequilibrium between HLA neighbouring loci show a characteristic frequency or are distinctive in many present day populations. Thus, HLA genetic system is a unique tool for studying the origin of relatively isolated groups, like Turkmen, Azeri and Kurd people, the populations under study, living in North Iran, in the surrounding area of Caspian Sea. Finally, HLA polymorphism is crucial for the compatibility between donor and receptor in organ transplantation and several HLA alleles have been linked to diseases and to response to drug treatments, which accomplishes relationships of certain variants with different pathologies treatment including AIDS. This is important in personalized treatments design. Turkmen could be descendants of Oghuz tribes from Seljuq branch coming from Transoxiana region (Central Asia) contemporarily to the foundation of the Seljuk Empire in 10th century AD. Conversely, this people could belong to another group within the Oghuz, arriving to Iran five centuries later. Migrations of this people were initially developed peacefully, being vassals of the Safavid Empire, and later by violent raids. They speak a language belonging to the Turkish-Oghuz group. In Iran, Turkmen live in Golestan province, mainly in Türkmensähra (“Turkmen plain”) area and amount 1.5 million people (2% of Iranian population). Most of this people are Sunni Muslims...

Synchronization of Heteroclinic Circuits Through Learning in Chains of Neural Motifs

The synchronization of oscillatory activity in networks of neural networks is usually implemented through coupling the state variables describing neuronal dynamics. In this study we discuss another but complementary mechanism based on a learning process with memory. A driver network motif, acting as a teacher, exhibits winner-less competition (WLC) dynamics, while a driven motif, a learner, tunes its internal couplings according to the oscillations observed in the teacher. We show that under appropriate training the learner motif can dynamically copy the coupling pattern of the teacher and thus synchronize oscillations with the teacher. Then, we demonstrate that the replication of the WLC dynamics occurs for intermediate memory lengths only. In a unidirectional chain of N motifs coupled through teacher-learner paradigm the time interval required for pattern replication grows linearly with the chain size, hence the learning process does not blow up and at the end we observe phase synchronized oscillations along the chain. We also show that in a learning chain closed into a ring the network motifs come to a consensus, i.e. to a state with the same connectivity pattern corresponding to the mean initial pattern averaged over all network motifs.