A crystal theoretic method for finding rigged configurations from paths

The Kerov--Kirillov--Reshetikhin (KKR) bijection gives one to one correspondences between the set of highest paths and the set of rigged configurations. In this paper, we give a crystal theoretic reformulation of the KKR map from the paths to rigged configurations, using the combinatorial R and energy functions. This formalism provides tool for analysis of the periodic box-ball systems.Comment: 24 pages, version for publicatio

Expression and function of the Delta-1/Notch-2/Hes-1 pathway during experimental acute kidney injury

The Notch signaling pathway consists of several receptors and their ligands Delta and Jagged and is important for embryogenesis, cellular differentiation and proliferation. Activation of Notch receptors causes their cleavage yielding cytoplastic domains that translocate into the nucleus to induce target proteins such as the basic-loop-helix proteins Hes and Hey. Here we sought to clarify the significance of the Notch signaling pathway in acute kidney injury using a rat ischemia-reperfusion injury model and cultured NRK-52E cells. Analysis of the whole kidney after injury showed increased expression of Delta-1 and Hes-1 mRNA and protein along with processed Notch-2. Confocal microscopy, using specific antibodies, showed that Delta-1, cleaved Notch-2 and Hes-1 colocalized in the same segments of the injured renal proximal tubules. Recombinant Delta-1 significantly stimulated NRK-52E cell proliferation. Our study suggests that the Delta-1/Notch-2/Hes-1 signaling pathway may regulate the regeneration and proliferation of renal tubules during acute kidney injury

Spectrum in multi-species asymmetric simple exclusion process on a ring

The spectrum of Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is found to coincide with the one-species case. It implies that the system belongs to the Kardar-Parisi-Zhang or Edwards-Wilkinson universality classes depending on whether the hopping rate is asymmetric or symmetric, respectively. Our derivation exploits a poset structure of the particle sectors, leading to a new spectral duality and inclusion relations. The Bethe ansatz integrability is also demonstrated.Comment: 46 pages, 9 figure

Generalised Perk--Schultz models: solutions of the Yang-Baxter equation associated with quantised orthosymplectic superalgebras

The Perk--Schultz model may be expressed in terms of the solution of the Yang--Baxter equation associated with the fundamental representation of the untwisted affine extension of the general linear quantum superalgebra $U_q[sl(m|n)]$, with a multiparametric co-product action as given by Reshetikhin. Here we present analogous explicit expressions for solutions of the Yang-Baxter equation associated with the fundamental representations of the twisted and untwisted affine extensions of the orthosymplectic quantum superalgebras $U_q[osp(m|n)]$. In this manner we obtain generalisations of the Perk--Schultz model.Comment: 10 pages, 2 figure

Integrable multiparametric quantum spin chains

Using Reshetikhin's construction for multiparametric quantum algebras we obtain the associated multiparametric quantum spin chains. We show that under certain restrictions these models can be mapped to quantum spin chains with twisted boundary conditions. We illustrate how this general formalism applies to construct multiparametric versions of the supersymmetric t-J and U models.Comment: 17 pages, RevTe

Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

The box-ball system is an integrable cellular automaton on one dimensional lattice. It arises from either quantum or classical integrable systems by the procedures called crystallization and ultradiscretization, respectively. The double origin of the integrability has endowed the box-ball system with a variety of aspects related to Yang-Baxter integrable models in statistical mechanics, crystal base theory in quantum groups, combinatorial Bethe ansatz, geometric crystals, classical theory of solitons, tau functions, inverse scattering method, action-angle variables and invariant tori in completely integrable systems, spectral curves, tropical geometry and so forth. In this review article, we demonstrate these integrable structures of the box-ball system and its generalizations based on the developments in the last two decades.Comment: 73 page

Cosmic Flows on 100 Mpc/h Scales: Standardized Minimum Variance Bulk Flow, Shear and Octupole Moments

The low order moments, such as the bulk flow and shear, of the large scale peculiar velocity field are sensitive probes of the matter density fluctuations on very large scales. In practice, however, peculiar velocity surveys are usually sparse and noisy, which can lead to the aliasing of small scale power into what is meant to be a probe of the largest scales. Previously, we developed an optimal ``minimum variance'' (MV) weighting scheme, designed to overcome this problem by minimizing the difference between the measured bulk flow (BF) and that which would be measured by an ideal survey. Here we extend this MV analysis to include the shear and octupole moments, which are designed to have almost no correlations between them so that they are virtually orthogonal. We apply this MV analysis to a compilation of all major peculiar velocity surveys, consisting of 4536 measurements. Our estimate of the BF on scales of ~ 100 Mpc/h has a magnitude of |v|= 416 +/- 78 km/s towards Galactic l = 282 degree +/- 11 degree and b = 6 degree +/- 6 degree. This result is in disagreement with LCDM with WMAP5 cosmological parameters at a high confidence level, but is in good agreement with our previous MV result without an orthogonality constraint, showing that the shear and octupole moments did not contaminate the previous BF measurement. The shear and octupole moments are consistent with WMAP5 power spectrum, although the measurement noise is larger for these moments than for the BF. The relatively low shear moments suggest that the sources responsible for the BF are at large distances.Comment: 13 Pages, 7 figures, 4 tables. Some changes to reflect the published versio

Maternal diabetes in early pregnancy, and psychotic experiences and depressive symptoms in 10-year-old offspring: A population-based birth cohort study

Epidemiological studies have suggested that maternal diabetes in pregnancy increases the risk of schizophrenia in offspring. A recent cohort study observed that maternal diabetes in early pregnancy is also associated with psychotic experiences in the general adolescent population. However, it remains unclear whether maternal diabetes in early pregnancy is specifically associated with psychotic experiences, or is generally associated with broader mental health problems, including depressive symptoms in adolescence. The present study investigated the longitudinal associations between maternal diabetes in early pregnancy, and psychotic experiences and depressive symptoms in 10-year-old offspring. Our data were derived from the Tokyo Early Adolescence Survey, a population-based survey of early adolescents (N = 4478) and their primary caregivers. Diabetes in early pregnancy was determined by records in the mother's Maternal and Child Health Handbook, documented during the pregnancy. Psychotic experiences and depressive symptoms were established through self-report by the offspring at 10 years of age. Diabetes in early pregnancy was associated with an increased risk of hallucination in the offspring (auditory hallucination [odds ratio {OR} 4.33, 95% confidence interval {CI} 1.12-16.75]; visual hallucination [OR 6.58, 95% CI 1.69-25.66]), even after adjusting for depressive symptoms and other covariates. However, the association between maternal diabetes and delusional thoughts was not significant and diabetes in early pregnancy was not associated with adolescent depressive symptoms. Our investigation suggests that maternal diabetes in early pregnancy may specifically affect the risk of hallucinatory experiences in adolescent offspring

C-jun Inhibits Mammary Apoptosis In Vivo

c-Jun mediates ROS production and apoptosis

Neural Correlates of True Memory, False Memory, and Deception

We used functional magnetic resonance imaging (fMRI) to determine whether neural activity can differentiate between true memory, false memory, and deception. Subjects heard a series of semantically related words and were later asked to make a recognition judgment of old words, semantically related nonstudied words (lures for false recognition), and unrelated new words. They were also asked to make a deceptive response to half of the old and unrelated new words. There were 3 main findings. First, consistent with the notion that executive function supports deception, 2 types of deception (pretending to know and pretending not to know) recruited prefrontal activity. Second, consistent with the sensory reactivation hypothesis, the difference between true recognition and false recognition was found in the left temporoparietal regions probably engaged in the encoding of auditorily presented words. Third, the left prefrontal cortex was activated during pretending to know relative to correct rejection and false recognition, whereas the right anterior hippocampus was activated during false recognition relative to correct rejection and pretending to know. These findings indicate that fMRI can detect the difference in brain activity between deception and false memory despite the fact that subjects respond with “I know” to novel events in both processes