A Note on the Phase Retrieval of Holomorphic Functions

We prove that if f and g are holomorphic functions on an open connected domain, with the same moduli on two intersecting segments, then f = g up to the multiplication of a unimodular constant, provided the segments make an angle that is an irrational multiple of $\pi$. We also prove that if f and g are functions in the Nevanlinna class, and if |f | = |g| on the unit circle and on a circle inside the unit disc, then f = g up to the multiplication of a unimodular constant

Prediction of non-genotoxic carcinogenicity based on genetic profiles of short term exposure assays

Non-genotoxic carcinogens are substances that induce tumorigenesis by non-mutagenic mechanisms and long term rodent bioassays are required to identify them. Recent studies have shown that transcription profiling can be applied to develop early identifiers for long term phenotypes. In this study, we used rat liver expression profiles from the NTP (National Toxicology Program, Research Triangle Park, USA) DrugMatrix Database to construct a gene classifier that can distinguish between non-genotoxic carcinogens and other chemicals. The model was based on short term exposure assays (3 days) and the training was limited to oxidative stressors, peroxisome proliferators and hormone modulators. Validation of the predictor was performed on independent toxicogenomic data (TG-GATEs, Toxicogenomics Project-Genomics Assisted Toxicity Evaluation System, Osaka, Japan). To build our model we performed Random Forests together with a recursive elimination algorithm (VarSelRF). Gene set enrichment analysis was employed for functional interpretation. A total of 770 microarrays comprising 96 different compounds were analyzed and a predictor of 54 genes was built. Prediction accuracy was 0.85 in the training set, 0.87 in the test set and increased with increasing concentration in the validation set: 0.6 at low dose, 0.7 at medium doses and 0.81 at high doses. Pathway analysis revealed gene prominence of cellular respiration, energy production and lipoprotein metabolism. The biggest target of toxicogenomics is accurately predict the toxicity of unknown drugs. In this analysis, we presented a classifier that can predict non-genotoxic carcinogenicity by using short term exposure assays. In this approach, dose level is critical when evaluating chemicals at early time points.Fil: Perez, Luis Orlando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Centro Nacional Patagónico. Instituto Patagónico para el Estudio de los Ecosistemas Continentales; ArgentinaFil: González José, Rolando. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Centro Nacional Patagónico. Instituto Patagónico para el Estudio de los Ecosistemas Continentales; ArgentinaFil: Peral Garcia, Pilar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico CONICET- La Plata. Instituto de Genética Veterinaria ; Argentin

On the gene expression landscape of cancer

A principal component analysis of the TCGA data for 15 cancer localizations unveils the following qualitative facts about tumors: 1) The state of a tissue in gene expression space may be described by a few variables. In particular, there is a single variable describing the progression from a normal tissue to a tumor. 2) Each cancer localization is characterized by a gene expression profile, in which genes have specific weights in the definition of the cancer state. There are no less than 2500 differentially-expressed genes, which lead to power-like tails in the expression distribution functions. 3) Tumors in different localizations share hundreds or even thousands of differentially expressed genes. There are 6 genes common to the 15 studied tumor localizations. 4) The tumor region is a kind of attractor. Tumors in advanced stages converge to this region independently of patient age or genetic variability. 5) There is a landscape of cancer in gene expression space with an approximate border separating normal tissues from tumors

Las Casas' Articulation of the Indians' Moral Agency: Looking Back at Las Casas Through Fichte

This article deals with Bartolome´ de Las Casas’ contribution to the notion of universal human rights. Though much study has been devoted to Las Casas’ work, what remains understudied is the Spanish philosopher’s conception of religion, which in many ways resembles what Kant called “the religion of reason.” For Las Casas, then, Christianity was conceived more as a rational system of ethics than as a compendium of Biblical and scholastic dogmas. Like the later Enlightenment philosopher Johann Gottlieb Fichte, Las Casas believed that all humans belonged to the same universal community of rational beings. By examining Las Casas together with Fichte, this article sheds further light on Las Casas’ anticipatory notions of moral agency, formal freedom, rational religion, and the rights of a free people against the use of coercion—regardless of their race, religion, or culture. They are the ideas underpinning his notion of universal human rights (Paulist and Thomist in nature), and his ethics of the Other, who “is just like me”: a rational, feeling human being, deserving of equal justice and rights

Francisco Sanches

Francisco Sanches (1551–1623) was an important figure in the history of philosophical scepticism, and most specifically in the later sixteenth and early seventeenth century. Sanches gained notoriety through his controversial text, That Nothing is Known. His skeptical ideas concerning what could be known of the phenomenal world, influenced the work of other philosophers like René Descartes. In fact, in the last twenty-five to thirty years, his work has at last been acknowledged as having served as a background source of Descartes’ refutation of scepticism. Sanches was not only a philosopher; he was also a physician, and a professor of medicine – a fact that doubtlessly tempered his scepticism. In recent years, there has been a growing interest in Sanches, as he has come to be seen as a significant philosopher in the history of scepticism, along with Montaigne, Descartes, and Hume. Some contemporary thinkers have gone as far as comparing his notion of language and metaphysics to that of someone like Wittgenstein

Cervantes’s “Republic”: On Representation, Imitation, and Unreason

ABSTRACT This essay deals with the relation between representation, imitation, and the affects in Don Quixote. In so doing, it focuses on Cervantes’s Platonist poetics and his own views of imitation and the books of knighthood. Although most readers, translators, and critics have until now deemed Cervantes’s use of the word “republic” in Don Quixote unimportant, the word “república” or republic is in fact the entry point to Cervantes’ Platonist critique of the novels of knighthood, and his notions of writing, imitation, and the emotions