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We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.
In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem (D q y)(x) = −f(x, y(x)), 0 < x < 1, y(0) = 0 = y(1), by applying a fixed point theorem in cones.
Neuropeptide Y (NPY) has been implicated in the modulation of important features of neuronal physiology, including calcium homeostasis, neurotransmitter release and excitability. Moreover, NPY has been involved as an important modulator of hippocampal and thalamic circuits, receiving particular attention as an endogenous antiepileptic peptide and as a… (More)
The aim of the present review is to discuss the evidence supporting the hypothesis that inflammation and neurogenesis play an important role in temporal lobe epilepsy (TLE) and to examine whether possible strategies that involve the pharmacological manipulation of inflammation/neurogenesis can lead to the development of novel approaches for the treatment of… (More)
In the present work we investigated the neuroprotective role of neuropeptide Y (NPY) after an excitotoxic insult in rat organotypic hippocampal slice cultures. Exposure of 2 week-old rat hippocampal slice cultures to 12muM kainate (KA) for 24h induced neuronal death in dentate gyrus (DG) granular cell layer, CA1 and CA3 pyramidal cell layers, as quantified… (More)
Chlamydia trachomatis is a widespread obligate intracellular pathogen genetically non-tractable for which transcriptomics is a fundamental tool to better understand its biology. However, the suitability of endogenous controls for normalization of transcriptomic data in this bacterium still needs validation. We aimed to assess the stability of 10 genes for… (More)
INTRODUCTION Transthoracic echocardiography is the method of choice for the diagnosis of cardiac myxomas, but the transesophageal approach provides a better definition of the location and characteristics of the tumor. The authors review their thirteen years' experience on the echocardiographic diagnosis of this pathology. METHODS From 1994 to 2007, 41… (More)
The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen’s inequality on time scales via… (More)
The analysis of transcriptional temporal noise could be an interesting means to study gene expression dynamics and stochasticity in eukaryotes. To study the statistical distributions of temporal noise in the eukaryotic model system Saccharomyces cerevisiae, we analyzed microarray data corresponding to one cell cycle for 6200 genes. We found that the… (More)