Phase locking in integrate-and-fire models with refractory periods and modulation

It is known [8, 11, 16, 26] that phase locking can entrain frequency information when the leaky integrate-and-fire (IF) model of a neuron is forced by a periodic function. We show that this is still the case when the IF model is made more biologically realistic. We incorporate into our model spike dependent threshold modulation and refractory periods. Consecutive firing times from this model and their respective interspike intervals are related by an annulus map. We prove a general theorem concerning orientation reversing annulus twist homeomorphisms, which shows that our map admits a unique rotation number. This implies, in particular, that chaotic behaviour is not possible in our model and phase locking is predicted.This research was partially supported by NSF EIA-BITS grant 426411This research was partially supported by the Summer Undergraduate Research Program sponsored by IGERT grant NSF-DGE 9972824 and the Undergraduate Scholars Program at MSU-BozemanAcknowledgement The authors would like to thank Marcy Barge for discussions of prime ends and Sherry Heis for formatting the diagrams.     

Kinetic locking-on and auxiliary tactics for bioaffinity purification of NADP+-dependent dehydrogenases using N6-linked immobilized NADP+ derivatives: Studies with mammalian and microbial glutamate dehydrogenases

This study is concerned with the development and application of kinetic locking-on and auxiliary tactics for bioaffinity purification of NADP(+)-dependent dehydrogenases, specifically (1) the synthesis and characterization of highly substituted N(6)-linked immobilized NADP(+) derivatives using a rapid solid-phase modular approach; (2) the evaluation of the N(6)-linked immobilized NADP(+) derivatives for use with the kinetic locking-on strategy for bioaffinity purification of NADP(+)-dependent dehydrogenases: Model bioaffinity chromatographic studies with glutamate dehydrogenase from bovine liver (GDH with dual cofactor specificity, EC 1.4.1.3) and glutamate dehydrogenase from Candida utilis (GDH which is NADP(+)-specific, EC 1.4.1.4); (3) the selection of an effective "stripping ligand" for NADP(+)-dehydrogenase bioaffinity purifications using N(6)-linked immobilized NADP(+) derivatives in the locking-on mode; and (4) the application of the developed bioaffinity chromatographic system to the purification of C. utilis GDH from a crude cellular extract.Results confirm that the newly developed N(6)-linked immobilized NADP(+) derivatives are suitable for the one-step bioaffinity purification of NADP(+)-dependent GDH provided that they are used in the locking-on mode, steps are taken to inhibit alkaline phosphatase activity in crude cellular extracts, and 2',5'-ADP is used as the stripping ligand during chromatography. The general principles described here are supported by a specific sample enzyme purification; the purification of C. utilis GDH to electrophoretic homogeneity in a single bioaffinity chromatographic step (specific activity, 9.12 micromol/min/mg; purification factor, 83.7; yield 88%). The potential for development of analogous bioaffinity systems for other NADP(+)-dependent dehydrogenases is also discussed.     

Consequences of rigidity and conformational locking in a 4,4-dimethyl-1,3-dioxolane ring system during protection of internal diol

The presence of an isopropylidene ketal protection of an internal diol in 3,4-O-isopropylidene-D-arabino-1-C-phenyl hexanone locks it in a conformation that prevents its cyclization to a pyranose ring.     

Plant callose synthase complexes

Synthesis of callose (-1,3-glucan) in plants has been a topic of much debate over the past several decades. Callose synthase could not be purified to homogeneity and most partially purified cellulose synthase preparations yielded -1,3-glucan in vitro, leading to the interpretation that cellulose synthase might be able to synthesize callose. While a rapid progress has been made on the genes involved in cellulose synthesis in the past five years, identification of genes for callose synthases has proven difficult because cognate genes had not been identified in other organisms. An Arabidopsis gene encoding a putative cell plate-specific callose synthase catalytic subunit (CalS1) was recently cloned. CalS1 shares high sequence homology with the well-characterized yeast -1,3-glucan synthase and transgenic plant cells over-expressing CalS1 display higher callose synthase activity and accumulate more callose. The callose synthase complex exists in at least two distinct forms in different tissues and interacts with phragmoplastin, UDP-glucose transferase, Rop1 and, possibly, annexin. There are 12 CalS isozymes in Arabidopsis, and each may be tissue-specific and/or regulated under different physiological conditions responding to biotic and abiotic stresses.     

Effects of zinc on cell proliferation and proteoglycan characteristics of epiphyseal chondrocytes

Zinc has been postulated as an important nutritional factor involved in growth promotion; however, the cellular mechanisms involved in the effects of zinc on linear growth remain to be elucidated. This study was conducted to evaluate the effects of zinc on the proliferation rate of epiphyseal growth plate chondrocytes and on the structural characteristics of the proteoglycans synthesized by these cells. For these purposes, hypertrophic and proliferating chondrocytes were isolated from the tibiae of 1- and 5-week-old chickens, respectively. Chondrocytes were cultured under serum-free conditions and primary cultures were used. The results showed that zinc stimulated proliferation by 40-50% above the baseline in the case of proliferating chondrocytes, but it had no effect on hypertrophic chondrocytes. Zinc had neither any effects on mean charge density of proteoglycans synthesized by hypertrophic chondrocytes nor in their hydrodynamic size. In contrast, zinc induced an increase in mean charge density and a decrease of hydrodynamic size of proteoglycans synthesized by proliferating chondrocytes. In both cell types zinc had no effect on the composition and hydrodynamic size of the glycosaminoglycan chains. The increased ability of proliferating chondrocytes cultured in the presence of zinc to synthesize 3'-phosphoadenosine 5'-phosphosulfate (PAPS) could be explained by the induction of enzymes participating in the sulfation pathway of proteoglycans. Therefore, the increase in mean charge density of proteoglycans observed in this study may be explained by an increase of the degree of sulfation of proteoglycan molecules. We speculate that the effect of zinc on linear growth may be explained at a cellular level by: a) an increase in proliferation rates of proliferating chondrocytes, and b) increased synthesis of highly charged proteoglycan molecules which decreases mineralization.     

Endogenous morphine modulates acute thermonociception in mice

The endogenous synthesis of morphine has been clearly demonstrated throughout the phylogenesis of the nervous system of mammals and lower animals. Endogenous morphine, serving as either a neurotransmitter or neurohormone, has been demonstrated in the nervous system of both vertebrates and invertebrates. As one of the effects of exogenous morphine is the modulation of pain perception, we investigated the effects that the depletion of endogenous morphine had on nociceptive transmission. The immunoneutralization of endogenous morphine from brain extracellular spaces was obtained through the intracerebroventricular administration of affinity purified anti-morphine IgG to mice, which then underwent the hot plate test. Endogenous morphine immunoneutralization decreased thermal response latency and attenuated the anti-nociceptive effect of the mu selective agonist DAMGO in hot plate test suggesting that endogenous morphine is involved in pain modulation.     

Sustainable, High-Yielding Outdoor Mass Cultures of Chaetoceros muelleri var. subsalsum and Isochrysis galbana in Vertical Plate Reactors

Continuous cultures of Chaetoceros muelleri and Isochrysis galbana were grown outdoors in flat plate-glass reactors in which light-path length (LPL) varied from 5 to 30 cm. High daily productivity (13 to 16 g cell mass per square meter of irradiated reactor surface) for long periods of time was obtained in reactors in which the optical path as well as cell density were optimized. 'Twenty centimeters was the optimal LPL, yielding the highest areal productivity of cell mass (g m^–2d^–1), eicosapentaenoic acid, and docosahexaenoic acid, which was identical with that previously found for polysaccharide production of Porphyridium and not far from the optimal LPL affecting maximal productivity in Nannochloropsis species. Relating the energy impinging on a given reactor surface area to the appropriate number of cells showed that the most efficient light dose per cell, obtained with the 20-cm LPL reactor, was approximately 2.5 times lower than the light dose available per cell in the 5-cm LPL reactor, in which a significant decline in areal cell density accompanied the lowest areal output of cell mass. The most effective harvesting regimen was in the range of 10% to 15% of culture volume harvested daily and replaced with fresh growth medium, resulting in a sustainable culture density of 24 × 10⁶ and 28 × 10⁶ cells/ml of C. muelleri and I. galbana, respectively.     

The dynamin-like protein ADL1C is essential for plasma membrane maintenance during pollen maturation

Dynamin-related GTPases regulate a wide variety of dynamic membrane processes in eukaryotes. Here, we investigated the function of ADL1C, a member of the Arabidopsis 68 kDa dynamin-like protein family. Analysis of heterozygous adl1C-1 indicates that the mutation specifically affects post-meiotic male gametogenesis. Fifty percent of the mature pollen from heterozygous adl1C-1 androecia are shriveled and fail to germinate in vitro. During microspore maturation, adl1C-1 pollen grains display defects in the plasma membrane and intine morphology, suggesting that ADL1C is essential for the formation and maintenance of the pollen cell surface and viability during desiccation. Consistent with a role in cell-surface dynamics, immunofluorescence microscopy indicates that ADL1C is localized to the cell plate of dividing somatic cells and to the tip of expanding root hairs. We propose that ADL1C functions in plasma membrane dynamics, and we discuss the role of the ADL1 family in plant growth and development.     

CRIM1, a novel gene encoding a cysteine-rich repeat protein, is developmentally regulated and implicated in vertebrate CNS development and organogenesis

Development of the vertebrate central nervous system is thought to be controlled by intricate cell-cell interactions and spatio-temporally regulated gene expressions. The details of these processes are still not fully understood. We have isolated a novel vertebrate gene, CRIM1/Crim1, in human and mouse. Human CRIM1 maps to chromosome 2p21 close to the Spastic Paraplegia 4 locus. Crim1 is expressed in the notochord, somites, floor plate, early motor neurons and interneuron subpopulations within the developing spinal cord. CRIM1 appears to be evolutionarily conserved and encodes a putative transmembrane protein containing an IGF-binding protein motif and multiple cysteine-rich repeats similar to those in the BMP-associating chordin and sog proteins. Our results suggest a role for CRIM1/Crim1 in CNS development possibly via growth factor binding.