Analyticity and criticality results for the eigenvalues of the biharmonic operator

We consider the eigenvalues of the biharmonic operator subject to several homogeneous boundary conditions (Dirichlet, Neumann, Navier, Steklov). We show that simple eigenvalues and elementary symmetric functions of multiple eigenvalues are real analytic, and provide Hadamard-type formulas for the corresponding shape derivatives. After recalling the known results in shape optimization, we prove that balls are always critical domains under volume constraint.Comment: To appear on the proceedings of the conference "Geometric Properties for Parabolic and Elliptic PDE's - 4th Italian-Japanese Workshop" held in Palinuro (Italy), May 25-29, 201

Developmental perspectives on interpersonal affective touch

In the last decade, philosophy, neuroscience and psychology alike have paid increasing attention to the study of interpersonal affective touch, which refers to the emotional and motivational facets of tactile sensation. Some aspects of affective touch have been linked to a neurophysiologically specialised system, namely the C tactile (CT) system. While the role of this sys-tem for affiliation, social bonding and communication of emotions have been widely investigated, only recently researchers have started to focus on the potential role of interpersonal affective touch in acquiring awareness of the body as our own, i.e. as belonging to our psychological ‘self’. We review and discuss recent developmental and adult findings, pointing to the central role of interpersonal affective touch in body awareness and social cognition in health and disorders. We propose that interpersonal affective touch, as an interoceptive modality invested of a social nature, can uniquely contribute to the ongoing debate in philosophy about the primacy of the relational nature of the minimal self

Neural dynamics of learning sound-action associations

A motor component is pre-requisite to any communicative act as one must inherently move to communicate. To learn to make a communicative act, the brain must be able to dynamically associate arbitrary percepts to the neural substrate underlying the pre-requisite motor activity. We aimed to investigate whether brain regions involved in complex gestures (ventral pre-motor cortex, Brodmann Area 44) were involved in mediating association between novel abstract auditory stimuli and novel gestural movements. In a functional resonance imaging (fMRI) study we asked participants to learn associations between previously unrelated novel sounds and meaningless gestures inside the scanner. We use functional connectivity analysis to eliminate the often present confound of ‘strategic covert naming’ when dealing with BA44 and to rule out effects of non-specific reductions in signal. Brodmann Area 44, a region incorporating Broca's region showed strong, bilateral, negative correlation of BOLD (blood oxygen level dependent) response with learning of sound-action associations during data acquisition. Left-inferior-parietal-lobule (l-IPL) and bilateral loci in and around visual area V5, right-orbital-frontal-gyrus, right-hippocampus, left-para-hippocampus, right-head-of-caudate, right-insula and left-lingual-gyrus also showed decreases in BOLD response with learning. Concurrent with these decreases in BOLD response, an increasing connectivity between areas of the imaged network as well as the right-middle-frontal-gyrus with rising learning performance was revealed by a psychophysiological interaction (PPI) analysis. The increasing connectivity therefore occurs within an increasingly energy efficient network as learning proceeds. Strongest learning related connectivity between regions was found when analysing BA44 and l-IPL seeds. The results clearly show that BA44 and l-IPL is dynamically involved in linking gesture and sound and therefore provides evidence that one of the mechanisms required for the evolution of human communication is found within these motor regions

The transport of alanine, serine, and cysteine in cultured human fibroblasts.

The transport of L-alanine, L-serine, and L-cysteine has been studied in skin-derived diploid human fibroblasts in culture. Competition analysis, mathematical discrimination by nonlinear regression, and conditions varying the relative contribution of the various mediations have been used to characterize the systems engaged in the inward transport of these amino acids. All the adopted criteria yielded results showing that L-alanine, L-serine, and L-cysteine enter the cell by two Na+-dependent systems, System A and System ASC, and by a Na+-independent route, whose major component has been identified as System L. The apparent affinity of L-alanine, L-serine, and L-cysteine for the putative carrier was higher for System ASC than for System A. The transport Vmax for System A increased in response to cell starvation; after 12 h, its values were similar or higher than those exhibited by System ASC. At amino acid concentrations approaching those present in human plasma, System ASC appeared to be the primary mediation for the inward transport of L-alanine, L-serine, and L-cysteine in human fibroblasts. The contribution of System A was negligible in nonstarved cells and became appreciable under conditions of cell starvation. The Na+-independent System L made no substantial contribution to the uptake of L-alanine and L-serine and accounted for approximately one-fourth of the total uptake of L-cysteine

The transport of neutral amino acid s in cultured human fibroblasts

The transport of neutral amino acids and their interactions for uptake have been studied in skin-derived-diploid human fibroblasts cultured at confluency. Properly timed preincubations in a medium defined in composition and requirements have been adopted to control size of internal amino acid pools and regulatory interferences affecting amino acid transport. L-Proline, L-alanine, and L-leucine were used as natural amino acid substrates. Amino acid uptake and exchange with preaccumulated molecules have been measured under conditions approaching initial entry rates in the absence and in the presence of Na+ and of transport-specific model substrates. Cultured human fibroblasts were found to contain three neutral amino acid transport systems: A, ASC, and L. L-Proline was taken up preferentially by System A. System ASC appeared to mediate the largest fraction of L-Leucine entered the cells mainly by the Na+-independent System L. Preaccumulation of the cells with Site A-reactive amino acids caused trans-inhibition of the activity of System A. The activity of System L was strongly trans-stimulated in cells preloaded with Site L-reactive amino acids. The inward transport of L-alanine was trans-inhibited by internal Site A-reactive amino acids and trans-stimulated by preaccumulated L-alanine exchanging with the external amino acid through the operation of System ASC

Adaptive regulation of amino acid transport in cultured avian fibroblasts. Influence of the amino acid composition of the culture media

The regulation of amino acid transport across the cell membrane by adaptive mechanisms has been studied in cultured chick embryo fibroblasts. Time-dependent changes of transport activity by the A system (a Na+-dependent agency with affinity for a discrete group of neutral amino acids), as a function of the composition in amino acids of the culture medium, have been evaluated by measurements of 14C-labelled l-proline uptake under conditions approaching initial entry rates. Reults and conclusions based on the adopted experimental procedures include the following: 1.(1) Transport of l-proline in cultured avian fibroblasts is an inverse function of the concentration of amino acid substrates of system A in the medium used for cell culturing before uptake assay. 2.(2) Cells grown in media containing amino acids that are substrates for system A (repressive conditions) exhibit a marked increase of l-proline uptake upon incubation in media devoid of these amino acids (derepressive conditions). 3.(3) Cells grown in media containing amino acids which are not typical substrates of system A (derepresive conditions) undergo a definite decrease of l-proline uptake upon incubation in media supplemented with amino acid substrates of this agency (repressive conditions). 4.(4) The adaptive increases in the transport of l-proline observed when ‘repressed’ cells are incubated under depressive conditions, are abolished in the presence of cycloheximide. 5.(5) The results presented suggest that adaptive regulation of amino acid transport by system A is an intrinsic property of the cells and has a normal function in vivo. Its occurrence under culture conditions demands that one must consider the actual composition of amino acids in the growth medium when investigating amino acid transport in cultured cells