Large deviations for heavy-tailed random elements in convex cones

We prove large deviation results for sums of heavy-tailed random elements in rather general convex cones being semigroups equipped with a rescaling operation by positive real numbers. In difference to previous results for the cone of convex sets, our technique does not use the embedding of cones in linear spaces. Examples include the cone of convex sets with the Minkowski addition, positive half-line with maximum operation and the family of square integrable functions with arithmetic addition and argument rescaling.

Local variability of serotinous cones in a Canary Island pine (Pinus canariensis) stand

The endemic Canary Island pine (Pinus canariensis) has an effective strategy to counteract fire disturbance in the short term. It has a mixed strategy that combines the presence of serotinous cones and thick barks with the ability to re-sprout from the trunk after a fire, a rare trait in pine species. High frequency of fires in the Canary Islands is related to human action, as natural fires by lightning or vulcan activity have very low frequency; hence, the how and whys of the presence of serotinous cones in the species is still a topic of debate. Previous studies showed that the frequency of serotinous cones varies from stand to stand. Here, we analyzed the presence of serotinous cones at a local scale. We selected a Canary Island pine stand in the transition zone between dry and humid forests in the south of Tenerife. Branches were pruned from 20 trees in order to evaluate the presence of serotinous vs. non-serotinous cones by direct verticile counting on the branches. The opening temperature of serotinous cones was assessed in the laboratory. Percentages of serotinous vs. non-serotinous cones varied from 0 to 93 %, showing high variability between trees. Opening temperatures were very high (above 65 ºC) as compared to other Mediterranean pine species with serotinous cones

Polymerizing Microtubules Activate Site-directed F-Actin Assembly in Nerve Growth Cones

We identify an actin-based protrusive structure in growth cones termed “intrapodium.” Unlike filopodia, intrapodia are initiated exclusively within lamellipodia and elongate in a continuous (nonsaltatory) manner parallel to the plane of the dorsal plasma membrane causing a ridge-like protrusion. Intrapodia resemble the actin-rich structures induced by intracellular pathogens (e.g., Listeria) or by extracellular beads. Cytochalasin B inhibits intrapodial elongation and removal of cytochalasin B produced a burst of intrapodial activity. Electron microscopic studies revealed that lamellipodial intrapodia contain both short and long actin filaments oriented with their barbed ends toward the membrane surface or advancing end. Our data suggest an interaction between microtubule endings and intrapodia formation. Disruption of microtubules by acute nocodazole treatment decreased intrapodia frequency, and washout of nocodazole or addition of the microtubule-stabilizing drug Taxol caused a burst of intrapodia formation. Furthermore, individual microtubule ends were found near intrapodia initiation sites. Thus, microtubule ends or associated structures may regulate these actin-dependent structures. We propose that intrapodia are the consequence of an early step in a cascade of events that leads to the development of F-actin-associated plasma membrane specializations.

Particles move along actin filament bundles in nerve growth cones.

Organelle movement along actin filaments has been demonstrated in dissociated squid axoplasm [Kurznetsov, S. A., Langford, G.M. & Weiss, D. G. (1992) Nature (London) 356, 722-725 and Bearer, E.L., DeGiorgis, J.A., Bodner, R.A., Kao, A.W. & Reese, T.S. (1993) Proc. Natl. Acad. Sci. USA 90, 11252-11256] but has not been shown to occur in intact neurons. Here we demonstrate that intracellular transport occurs along actin filament bundles in intact neuronal growth cones. We used video-enhanced differential interference contrast microscopy to observe intracellular transport in superior cervical ganglion neurons cultured under conditions that enhance the visibility of actin bundles within growth cone lamellipodia. Intracellular particles, ranging in size from < 0.5-1.5 microns, moved along linear structures (termed transport bundles) at an average maximum rate of 0.48 micron/sec. After particle movement had been viewed, cultures were preserved by rapid perfusion with chemical fixative. To determine whether particle transport occurred along actin, we then used fluorescence microscopy to correlate this movement with actin and microtubule distributions in the same growth cones. The observed transport bundles colocalized with actin but not with microtubules. The rates of particle movement and the association of moving particles with actin filament bundles suggest that myosins may participate in the transport of organelles (or other materials) in intact neurons.

Differentiation of short-wavelength-sensitive cones by NADPH diaphorase histochemistry.

NADPH diaphorase (NADPH dehydrogenase; EC 1.6.99.1) histochemistry labels neurons that synthesize the neurotransmitter nitric oxide (NO). In retina, it has been demonstrated that NO can affect the metabolism of cGMP in rod photoreceptors. To investigate potential involvement of NO in cone photoreceptor activity, we utilized NADPH diaphorase histochemistry to study the cone-dominated retina of the tree shrew (Tupaia belangeri). Unexpectedly, our results revealed different NADPH diaphorase activity in the cellular subcompartments of the spectral classes of cone photoreceptors. Although all cones showed intense labeling of inner segment ellipsoids, the short-wavelength-sensitive (SWS or "blue-sensitive") cones and the rods displayed intense staining of the myoid inner segment subcompartment as well. Furthermore, only SWS cones and rods displayed surface labeling of their nuclei. These findings indicate a manner in which SWS cones differ biochemically from other cone types and in which they are more similar to rods. Such differences may underlie some of the unusual functional properties of the SWS cone system, which have been attributed to postreceptoral processes.

Insulin-like growth factor I receptors of fetal brain are enriched in nerve growth cones and contain a beta-subunit variant.

Nerve growth cones isolated from fetal rat brain are highly enriched in a 97-kDa glycoprotein, termed beta gc, that comigrates with the beta subunit of the IGF-I receptor upon two-dimensional PAGE and is disulfide-linked to this receptor's alpha subunit. Antibodies prepared to a conserved domain shared by the insulin and IGF-I receptor beta subunits (AbP2) or to beta gc were used to study receptor distribution further. Subcellular fractionation of the fetal brain segregated most AbP2 immunoreactivity away from growth cones, whereas most beta gc immunoreactivity copurified with growth cones. Experiments involving ligand-activated receptor autophosphorylation confirmed the concentration of IGF-I but not of insulin receptors in growth cone fractions. These results indicate the enrichment of IGF-I receptors in (presumably axonal) growth cones of the differentiating neuron. Furthermore, the segregation of beta gc from AbP2 immunoreactivity suggests that such neurons express an immunochemically distinct variant of the IGF-I receptor beta subunit at the growth cone.

Dried flowers with a fresh look; how to preserve the color and the beauty of your garden flowers and keep foliages, ferns, berries, cones and wood in fine condition for a long time,

Mode of access: Internet.

An investigation of laminar heat transfer to slender cones in the hypersonic shock tunnel

"Contract no. AF-33(616)-6025. Project no. 7064. Task no. 70169. Aeronautical Research Laboratory, Air Force Research Division, Air Research and Development Command, United States Air Force, Wright-Patterson Air Force Base."

Two geometrical memoirs on the general properties of cones of the second degree, and on the spherical conics,

Available on demand as hard copy or computer file from Cornell University Library.

Researches on curves of the second order, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis; also several of the geometrical conclusions of M. Charles are analytically resolved, together with many properties entirely original.

Available on demand as hard copy or computer file from Cornell University Library.

Two geometrical memoirs on the general properties of cones of the second degree, and on the spherical conics /

Mode of access: Internet.