In the last decade, the in vivo assessment of hippocampal subfields has received increasing attention because of the differential role of hippocampal subfields in several neuropsychiatric diseases (Geuze et al., 2005). Several manual segmentation protocols have been developed for 3–7 T MRI (Mueller et al., 2007; Van Leemput et al., 2008; La Joie et al., 2010; Wisse et al., 2012), some of which ...

INTRODUCTION Chronic exposure to stress has been shown to impact a wide range of health-related outcomes in older adults. Despite extensive animal literature revealing deleterious effects of biological markers of stress on the dentate gyrus subfield of the hippocampus, links between hippocampal subfields and psychological stress have not been studied in humans. This study examined the relations...

The effects of kainic acid (KA) on neurogenesis in the developing rat hippocampus were investigated. Neonatal [postnatal day (P) 7] rats received a single bilateral intracerebroventricular infusion of KA (50 nmol in 1.0 microl) or vehicle. At P14, P25, P40, and P60, the spatial and temporal relationships between the neurodegeneration and neurogenesis induced by KA were explored using terminal d...

CONTEXT Because schizophrenia and related disorders have a chronic time course and subtle histopathology, it is difficult to identify which brain regions are differentially targeted. OBJECTIVE To identify brain sites differentially targeted by schizophrenia, we applied a high-resolution variant of functional magnetic resonance imaging to clinically characterized patients and matched healthy c...

Definition. An algebraic integer is the root of a monic polynomial in Z[x]. An algebraic number is the root of any non-zero polynomial in Z[x]. We are interested in studying the structure of the ring of algebraic integers in an algebraic number field. A number field is a finite extension of Q. We’ll assume that the number fields we consider are all subfields of C. Definition. Suppose that K and...

In 2016, Albrecht, Bai and Ducas and independently Cheon, Jeong and Lee presented very similar attacks to break the NTRU cryptosystem with larger modulus than in the NTRUEncrypt standard. They allow to recover the secret key given the public key of Fully Homomorphic Encryption schemes based on NTRU ideas. Hopefully, these attacks do not endanger the security of the NTRUEncrypt, but shed new lig...

The rings considered in this article are commutative with identity $1neq 0$. By a proper ideal of a ring $R$,  we mean an ideal $I$ of $R$ such that $Ineq R$.  We say that a proper ideal $I$ of a ring $R$ is a  maximal non-prime ideal if $I$ is not a prime ideal of $R$ but any proper ideal $A$ of $R$ with $ Isubseteq A$ and $Ineq A$ is a prime ideal. That is, among all the proper ideals of $R$,...