31 research outputs found
Micro-Raman and GC/MS analysis to characterize the wall painting technique of Dicho Zograph in churches from Republic of Macedonia
Algebraic boundary of matrices of nonnegative rank at most three
The Zariski closure of the boundary of the set of matrices of nonnegative rank at most 3 is reducible. We give a minimal generating set for the ideal of each irreducible component. In fact, this generating set is a Grobner basis with respect to the graded reverse lexicographic order. This solves a conjecture by Robeva, Sturmfels and the last author
Algebraic boundary of matrices of nonnegative rank at most three
The Zariski closure of the boundary of the set of matrices of nonnegative rank at most 3 is reducible. We give a minimal generating set for the ideal of each irreducible component. In fact, this generating set is a Grobner basis with respect to the graded reverse lexicographic order. This solves a conjecture by Robeva, Sturmfels and the last author
Duality of graphical models and tensor networks
In this article we show the duality between tensor networks and undirected graphical models with discrete variables. We study tensor networks on hypergraphs, which we call tensor hypernetworks. We show that the tensor hypernetwork on a hypergraph exactly corresponds to the graphical model given by the dual hypergraph. We translate various notions under duality. For example, marginalization in a graphical model is dual to contraction in the tensor network. Algorithms also translate under duality. We show that belief propagation corresponds to a known algorithm for tensor network contraction. This article is a reminder that the research areas of graphical models and tensor networks can benefit from interaction
Singular vectors of orthogonally decomposable tensors
Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable tensors. For such a tensor, we give a description of its singular vector tuples as a variety in a product of projective spaces
Algebraic boundary of matrices of nonnegative rank at most three
Understanding the boundary of the set of matrices of nonnegative rank at most r is important for applications in nonconvex optimization. The Zariski closure of the boundary of the set of matrices of nonnegative rank at most 3 is reducible. We give a minimal generating set for the ideal of each irreducible component. In fact, this generating set is a Gröbner basis with respect to the graded reverse lexicographic order. This solves a conjecture by Robeva, Sturmfels and the last author
Absolute oral bioavailability and disposition of deferasirox in healthy human subjects.
Deferasirox is a novel iron chelator formulated as tablets for dispersion (suspension) for once-a-day oral administration. The current study evaluated the absolute bioavailability of a single 375-mg oral dose of deferasirox administered in the form of tablets compared with a 130-mg intravenous infusion of deferasirox. Since this was a first-in-man study using the deferasirox intravenous (IV) formulation, the safety and tolerability of the IV formulation was evaluated in a pilot phase with a lower dose (65 mg) in 3 subjects prior to the main phase. The main study phase consisted of 17 healthy male volunteers. Plasma concentrations of deferasirox were measured following each treatment, and pharmacokinetic parameters including absolute oral bioavailability were determined. Absolute oral bioavailability of the deferasirox tablets was 70% (90% confidence interval, 62%-80%). Deferasirox was characterized as having a low plasma clearance of 3.53 (+/- 0.87) L/h. A small volume of distribution of deferasirox at steady state (V(ss)) of 14.37 (+/-2.69 L) was determined, indicating a low tissue distribution
Caring for individuals with a difference of sex development (DSD): a Consensus Statement.
The term differences of sex development (DSDs; also known as disorders of sex development) refers to a heterogeneous group of congenital conditions affecting human sex determination and differentiation. Several reports highlighting suboptimal physical and psychosexual outcomes in individuals who have a DSD led to a radical revision of nomenclature and management a decade ago. Whereas the resulting recommendations for holistic, multidisciplinary care seem to have been implemented rapidly in specialized paediatric services around the world, adolescents often experience difficulties in finding access to expert adult care and gradually or abruptly cease medical follow-up. Many adults with a DSD have health-related questions that remain unanswered owing to a lack of evidence pertaining to the natural evolution of the various conditions in later life stages. This Consensus Statement, developed by a European multidisciplinary group of experts, including patient representatives, summarizes evidence-based and experience-based recommendations for lifelong care and data collection in individuals with a DSD across ages and highlights clinical research priorities. By doing so, we hope to contribute to improving understanding and management of these conditions by involved medical professionals. In addition, we hope to give impetus to multicentre studies that will shed light on outcomes and comorbidities of DSD conditions across the lifespan
Absence of an effect of a single-dose deferasirox on the steady-state pharmacokinetics of digoxin.
Deferasirox (Exjade, ICL670) is a potent iron chelator, recently approved as first-line therapy for the treatment of blood-transfusion-related iron overload. Iron deposition in the heart may lead to cardiac dysfunction in patients with iron overload. Thus, the combination of cardiac glycosides and deferasirox is likely to be used in clinical practice
New Strategies in Quantitative Structure-Activity Relationships. Applications to Adenosine Receptor Ligands
Over the last years, an increasing number of applications of QSAR (Quantitative Structure-Activity Relationships) appeared in the literature, not only in lead finding and lead optimization, but also in other fields related to drug discovery, such as ADMET predictions. Neverthless, many questions are still open and they supplied the starting point of this research. Attention was focused on characteristics usually intended as “pitfalls” of QSAR itself. In this work, each step of the QSAR model development process was handled with a rational and rigorous approach, and the classic QSAR strategies were implemented with new protocol
