The Hubbard model within the equations of motion approach

The Hubbard model has a special role in Condensed Matter Theory as it is considered as the simplest Hamiltonian model one can write in order to describe anomalous physical properties of some class of real materials. Unfortunately, this model is not exactly solved except for some limits and therefore one should resort to analytical methods, like the Equations of Motion Approach, or to numerical techniques in order to attain a description of its relevant features in the whole range of physical parameters (interaction, filling and temperature). In this manuscript, the Composite Operator Method, which exploits the above mentioned analytical technique, is presented and systematically applied in order to get information about the behavior of all relevant properties of the model (local, thermodynamic, single- and two- particle ones) in comparison with many other analytical techniques, the above cited known limits and numerical simulations. Within this approach, the Hubbard model is shown to be also capable to describe some anomalous behaviors of the cuprate superconductors.Comment: 232 pages, more than 300 figures, more than 500 reference

BCL11B Regulates Epithelial Proliferation and Asymmetric Development of the Mouse Mandibular Incisor

Mouse incisors grow continuously throughout life with enamel deposition uniquely on the outer, or labial, side of the tooth. Asymmetric enamel deposition is due to the presence of enamel-secreting ameloblasts exclusively within the labial epithelium of the incisor. We have previously shown that mice lacking the transcription factor BCL11B/CTIP2 (BCL11B hereafter) exhibit severely disrupted ameloblast formation in the developing incisor. We now report that BCL11B is a key factor controlling epithelial proliferation and overall developmental asymmetry of the mouse incisor: BCL11B is necessary for proliferation of the labial epithelium and development of the epithelial stem cell niche, which gives rise to ameloblasts; conversely, BCL11B suppresses epithelial proliferation, and development of stem cells and ameloblasts on the inner, or lingual, side of the incisor. This bidirectional action of BCL11B in the incisor epithelia appears responsible for the asymmetry of ameloblast localization in developing incisor. Underlying these spatio-specific functions of BCL11B in incisor development is the regulation of a large gene network comprised of genes encoding several members of the FGF and TGFβ superfamilies, Sprouty proteins, and Sonic hedgehog. Our data integrate BCL11B into these pathways during incisor development and reveal the molecular mechanisms that underlie phenotypes of both Bcl11b−/− and Sprouty mutant mice

Soft Substrates Promote Homogeneous Self-Renewal of Embryonic Stem Cells via Downregulating Cell-Matrix Tractions

Maintaining undifferentiated mouse embryonic stem cell (mESC) culture has been a major challenge as mESCs cultured in Leukemia Inhibitory Factor (LIF) conditions exhibit spontaneous differentiation, fluctuating expression of pluripotency genes, and genes of specialized cells. Here we show that, in sharp contrast to the mESCs seeded on the conventional rigid substrates, the mESCs cultured on the soft substrates that match the intrinsic stiffness of the mESCs and in the absence of exogenous LIF for 5 days, surprisingly still generated homogeneous undifferentiated colonies, maintained high levels of Oct3/4, Nanog, and Alkaline Phosphatase (AP) activities, and formed embryoid bodies and teratomas efficiently. A different line of mESCs, cultured on the soft substrates without exogenous LIF, maintained the capacity of generating homogeneous undifferentiated colonies with relatively high levels of Oct3/4 and AP activities, up to at least 15 passages, suggesting that this soft substrate approach applies to long term culture of different mESC lines. mESC colonies on these soft substrates without LIF generated low cell-matrix tractions and low stiffness. Both tractions and stiffness of the colonies increased with substrate stiffness, accompanied by downregulation of Oct3/4 expression. Our findings demonstrate that mESC self-renewal and pluripotency can be maintained homogeneously on soft substrates via the biophysical mechanism of facilitating generation of low cell-matrix tractions

Application of polymeric nanoparticles in food sector

Nanotechnology presents opportunities to create new and better products. Nano technology has huge impact in many applications including food industry. Product of nanotechnology, such as polymeric nanoparticle, can be utilized to improve food quality by extending food shelf life, increase food safety, lower the cost and enhance the nutritional benefits. This chapter provides an overview of the properties of polymeric nanoparticle, preparation techniques, as well as the role polymeric nano-particles in the food industr

Trace element (Mg, Sr, Ba and U) incorporation in culture high Mg-calcite benthic foraminifera under controlled pCO2: a multi-elemental perspective

Trace elements ratio in foraminifer shells has been widely used to reconstruct environmental conditions, as temperature, salinity, carbonate chemistry (CO32-, pCO2, pH), etc. These reconstructions are based on emperical data of specific trace element to environmenal parameter. However uncertainties on the incorporation mechanims on these trace elements in formainifera shells exist. Experimental dataset on the incorporation processes of trace elements in foraminifers focus on the incorporation of Mg and Sr [1,2] although other trace element ratios (Ba/Ca, U/Ca, B/Ca, etc.) are often described in foraminifer shells. Most of the studies focus on one or two trace elements separately and only a limited number of studies try to asses simoultanously the incorporation processes of several trace elements in foraminifer shells. Here, we investigated the influence of variable pCO2 level on the incorporation of Mg/Ca, Sr/Ca, Ba/Ca and U/Ca into the tests of two different species of algal symbiont-bearing, reef dwelling foraminifers. The measurements of Mg/Ca, Sr/Ca, Ba/Ca and U/Ca are reported for the two benthic foraminifer species Baculogypsina sphaerulata and Amphisorus hemprichii at five pCO2 (260, 360, 580, 770 and 970 µatm). Despite their different calcification process, the two foraminifera species have the same Mg/Ca and Ba/Ca whereas they have distinct Sr/Ca (~20% difference) and U/Ca (~75% difference). The difference in pCO2 during the culture of the foraminifera have no significant influence on the incorporation of Mg/Ca, Sr/Ca and U/Ca in both Baculogypsina sphaerulata and Amphisorus hemprichii species. However, Ba/Ca in both species responds negatively to increase pCO2