Multiple periodic solutions for a nonlinear suspension bridge equation

We investigate nonlinear oscillations in a fourth-order partialdifferential equation which models a suspension bridge. Previouswork establishes multiple periodic solutions when a parameterexceeds a certain eigenvalue. In this paper, we use Leray-Schauderdegree theory to prove that if the parameter is increased further,beyond a second eigenvalue, then additional solutions are created.     

Using measurements of anchoring energies of liquid crystals on surfaces to quantify proteins captured by immobilized ligands

We describe a simple optical method that employs measurement of the interaction energy of a liquid crystal (LC) with a surface (the so-called anchoring energy) to report proteins captured on surfaces through specific interactions with immobilized binding groups. To define the sensitivity and dynamic range of the response of the LC, we covalently immobilized a tyrosine-containing, 13-residue peptide sequence (Y1173) from the epidermal growth factor receptor/kinase (EGFR) at which autophosphorylation takes place and to which the adapter protein Shc binds. We determined that, on peptide-decorated (Y1173 or pY1173, where pY1173 is the corresponding phosphopeptide) surfaces incubated against anti-phosphotyrosine antibody, the anchoring energy of the LC decreased systematically from 4.4 to 1.4 microJ/m2 (with SEM=0.3 microJ/m2 for n=5) as the antibody concentration increased from 10 pM to 100 nM. Over the same range of antibody concentrations in solution and densities of immobilized peptides, independent ellipsometric measurements were not sufficiently sensitive to report the captured antibody (ellipsometric thicknesses were <0.1 nm). These results, when combined with control experiments reported in this article, provide the first demonstration of the use of anchoring energy measurements of LCs to report proteins captured by immobilized ligands on surfaces. The sensitivity and dynamic range of the methodology suggest that it may offer the basis of a simple yet broadly useful principle for reporting the interactions between proteins and other biomolecules that underlie complex and poorly understood chemical and biological events.     

Progranulin is expressed within motor neurons and promotes neuronal cell survival

Background

Progranulin is a secreted high molecular weight growth factor bearing seven and one half copies of the cysteine-rich granulin-epithelin motif. While inappropriate over-expression of the progranulin gene has been associated with many cancers, haploinsufficiency leads to atrophy of the frontotemporal lobes and development of a form of dementia (frontotemporal lobar degeneration with ubiquitin positive inclusions, FTLD-U) associated with the formation of ubiquitinated inclusions. Recent reports indicate that progranulin has neurotrophic effects, which, if confirmed would make progranulin the only neuroprotective growth factor that has been associated genetically with a neurological disease in humans. Preliminary studies indicated high progranulin gene expression in spinal cord motor neurons. However, it is uncertain what the role of Progranulin is in normal or diseased motor neuron function. We have investigated progranulin gene expression and subcellular localization in cultured mouse embryonic motor neurons and examined the effect of progranulin over-expression and knockdown in the NSC-34 immortalized motor neuron cell line upon proliferation and survival.

Results

In situ hybridisation and immunohistochemical techniques revealed that the progranulin gene is highly expressed by motor neurons within the mouse spinal cord and in primary cultures of dissociated mouse embryonic spinal cord-dorsal root ganglia. Confocal microscopy coupled to immunocytochemistry together with the use of a progranulin-green fluorescent protein fusion construct revealed progranulin to be located within compartments of the secretory pathway including the Golgi apparatus. Stable transfection of the human progranulin gene into the NSC-34 motor neuron cell line stimulates the appearance of dendritic structures and provides sufficient trophic stimulus to survive serum deprivation for long periods (up to two months). This is mediated at least in part through an anti-apoptotic mechanism. Control cells, while expressing basal levels of progranulin do not survive in serum free conditions. Knockdown of progranulin expression using shRNA technology further reduced cell survival.

Conclusion

Neurons are among the most long-lived cells in the body and are subject to low levels of toxic challenges throughout life. We have demonstrated that progranulin is abundantly expressed in motor neurons and is cytoprotective over prolonged periods when over-expressed in a neuronal cell line. This work highlights the importance of progranulin as neuroprotective growth factor and may represent a therapeutic target for neurodegenerative diseases including motor neuron disease.     

Using liquid crystals to report membrane proteins captured by affinity microcontact printing from cell lysates and membrane extracts

The chemical heterogeneity of proteins makes development of general and facile surface-based methods for protein analysis a substantial challenge, particularly when analyzing transmembrane proteins. Here, we report a simple surface-based procedure that permits detection of transmembrane proteins from crude cell lysates and cell membrane extracts. The method relies on the use of thermotropic liquid crystals to amplify and report the presence of the transmembrane proteins captured by an affinity ligand on the surface of an elastomeric stamp. A merit of this approach is that the proteins can be imaged on surfaces without requiring the use of matched pairs of antibodies, labels, or complex instrumentation. Detection of epidermal growth factor receptor, a transmembrane glycoprotein, is demonstrated.