Kinematic geometry of mass-triangles and reduction of Schrödinger’s equation of three-body systems to partial differential equations solely defined on triangular parameters

Schrödinger’s equation of a three-body system is a linear partial differential equation (PDE) defined on the 9-dimensional configuration space, ℝ9, naturally equipped with Jacobi’s kinematic metric and with translational and rotational symmetries. The natural invariance of Schrödinger’s equation with respect to the translational symmetry enables us to reduce the configuration space to that of a 6-dimensional one, while that of the rotational symmetry provides the quantum mechanical version of angular momentum conservation. However, the problem of maximizing the use of rotational invariance so as to enable us to reduce Schrödinger’s equation to corresponding PDEs solely defined on triangular parameters—i.e., at the level of ℝ6/SO(3)—has never been adequately treated. This article describes the results on the orbital geometry and the harmonic analysis of (SO(3),ℝ6) which enable us to obtain such a reduction of Schrödinger’s equation of three-body systems to PDEs solely defined on triangular parameters.

Identification by mass spectrometry of the phosphorylated residue responsible for activation of the catalytic domain of myosin I heavy chain kinase, a member of the PAK/STE20 family

Myosin I heavy chain kinase from Acanthamoeba castellanii is activated in vitro by autophosphorylation (8–10 mol of P per mol). The catalytically active C-terminal domain produced by trypsin cleavage of the phosphorylated kinase contains 2–3 mol of P per mol. However, the catalytic domain expressed in a baculovirus–insect cell system is fully active as isolated without autophosphorylation in vitro. We now show that the expressed catalytic domain is inactivated by incubation with acid phosphatase and regains activity upon autophosphorylation. The state of phosphorylation of all of the hydroxyamino acids in the catalytic domain were determined by mass spectrometry of unfractionated protease digests. Ser-627 was phosphorylated in the active, expressed catalytic domain, lost its phosphate when the protein was incubated with phosphatase, and was rephosphorylated when the dephosphorylated protein was incubated with ATP. No other residue was significantly phosphorylated in any of the three samples. Thus, phosphorylation of Ser-627, which is in the same position as the Ser and Thr residues that are phosphorylated in many other kinases, is necessary and sufficient for full activity of the catalytic domain. Ser-627 is also phosphorylated when full-length, native kinase is activated by autophosphorylation.

The chemistry of the S-nitrosoglutathione/glutathione system

S-Nitrosothiols have generated considerable interest due to their ability to act as nitric oxide (NO) donors and due to their possible involvement in bioregulatory systems—e.g., NO transfer reactions. Elucidation of the reaction pathways involved in the modification of the thiol group by S-nitrosothiols is important for understanding the role of S-nitroso compounds in vivo. The modification of glutathione (GSH) in the presence of S-nitrosoglutathione (GSNO) was examined as a model reaction. Incubation of GSNO (1 mM) with GSH at various concentrations (1–10 mM) in phosphate buffer (pH 7.4) yielded oxidized glutathione, nitrite, nitrous oxide, and ammonia as end products. The product yields were dependent on the concentrations of GSH and oxygen. Transient signals corresponding to GSH conjugates, which increased by one mass unit when the reaction was carried out with 15N-labeled GSNO, were identified by electrospray ionization mass spectrometry. When morpholine was present in the reaction system, N-nitrosomorpholine was formed. Increasing concentrations of either phosphate or GSH led to lower yields of N-nitrosomorpholine. The inhibitory effect of phosphate may be due to reaction with the nitrosating agent, nitrous anhydride (N2O3), formed by oxidation of NO. This supports the release of NO during the reaction of GSNO with GSH. The products noted above account quantitatively for virtually all of the GSNO nitrogen consumed during the reaction, and it is now possible to construct a complete set of pathways for the complex transformations arising from GSNO + GSH.

Oligonucleotide-directed peptide synthesis in a ribosome- and ribozyme-free system

Peptide bond formation by the ribosome requires 23S rRNA and its interaction with the 3′-CCA end of tRNA. To investigate the possible evolutionary development of the peptidyl transfer reaction, we tried to obtain peptide bond formation without the ribosome or rRNA simply by using a piece of tRNA—an aminoacyl-minihelix—mixed with sequence-specific oligonucleotides that contained puromycin. Peptide bond formation was detected by gel electrophoresis, TLC analysis, and mass spectrometry. Peptide synthesis depended on sequence complementarity between the 3′-CCA sequence of the minihelix and the puromycin-bearing oligonucleotide. However, proximity of the reacting species was not by itself sufficient for peptide bond formation. In addition, imidazole as a catalyst was required. Its role may be similar to the recently proposed mechanism, wherein A2451 of 23S rRNA works as a general base. Thus, peptide bond formation can be achieved with a simple, minimized system that captures the essence of an interaction seen in the ribosome.

Domains of a Transit Sequence Required for in Vivo Import in Arabidopsis Chloroplasts1

Nuclear-encoded precursors of chloroplast proteins are synthesized with an amino-terminal cleavable transit sequence, which contains the information for chloroplastic targeting. To determine which regions of the transit sequence are most important for its function, the chloroplast uptake and processing of a full-length ferredoxin precursor and four mutants with deletions in adjacent regions of the transit sequence were analyzed. Arabidopsis was used as an experimental system for both in vitro and in vivo import. The full-length wild-type precursor translocated efficiently into isolated Arabidopsis chloroplasts, and upon expression in transgenic Arabidopsis plants only mature-sized protein was detected, which was localized inside the chloroplast. None of the deletion mutants was imported in vitro. By analyzing transgenic plants, more subtle effects on import were observed. The most N-terminal deletion resulted in a fully defective transit sequence. Two deletions in the middle region of the transit sequence allowed translocation into the chloroplast, although with reduced efficiencies. One deletion in this region strongly reduced mature protein accumulation in older plants. The most C-terminal deletion was translocated but resulted in defective processing. These results allow the dissection of the transit sequence into separate functional regions and give an in vivo basis for a domain-like structure of the ferredoxin transit sequence.

Molecular cloning of violaxanthin de-epoxidase from romaine lettuce and expression in Escherichia coli.

Plants need to avoid or dissipate excess light energy to protect photosystem II (PSII) from photoinhibitory damage. Higher plants have a conserved system that dissipates excess energy as heat in the light-harvesting complexes of PSII that depends on the transthylakoid delta pH and violaxanthin de-epoxidase (VDE) activity. To our knowledge, we report the first cloning of a cDNA encoding VDE and expression of functional enzyme in Escherichia coli. VDE is nuclear encoded and has a transit peptide with characteristic features of other lumen-localized proteins. The cDNA encodes a putative polypeptide of 473 aa with a calculated molecular mass of 54,447 Da. Cleavage of the transit peptide results in a mature putative polypeptide of 348 aa with a calculated molecular mass of 39,929 Da, close to the apparent mass of the purified enzyme (43 kDa). The protein has three interesting domains including (i) a cysteine-rich region, (ii) a lipocalin signature, and (iii) a highly charged region. The E. coli expressed enzyme de-epoxidizes violaxanthin sequentially to antheraxanthin and zeaxanthin, and is inhibited by dithiothreitol, similar to VDE purified from chloroplasts. This confirms that the cDNA encodes an authentic VDE of a higher plant and is unequivocal evidence that the same enzyme catalyzes the two-step mono de-epoxidation reaction. The cloning of VDE opens new opportunities for examining the function and evolution of the xanthophyll cycle, and possibly enhancing light-stress tolerance of plants.

Neurocytopathic effects of beta-amyloid-stimulated monocytes: a potential mechanism for central nervous system damage in Alzheimer disease.

Growing evidence indicates that cells of the mononuclear phagocyte lineage, which includes peripheral blood monocytes (PBM) and tissue macrophages, participate in a variety of neurodestructive events and may play a pivotal role in neurodegenerative conditions such as Alzheimer disease. The present study sought to determine whether exposure of PBM to beta-amyloid peptide (A beta), the major protein of the amyloid fibrils that accumulate in the brain in Alzheimer disease, could induce cytopathic activity in these cells upon their subsequent incubation with neural tissue. PBM were incubated with A beta for 3 days, centrifuged and washed to remove traces of cell-free A beta, and then applied to organotypic cultures of rat brain for varying periods of time. By using a cell-viability assay to quantitate neurocytopathic effect, an increase in the ratio of dead to live cells was detected in cultures containing A beta-stimulated PBM versus control PBM (stimulated with either bovine serum albumin or reverse A beta peptide) as early as 3 days after coculture. The ratio of dead to live cells increased further by 10 days of coculture. By 30 days of coculture, the dead to live cell ratio remained elevated, and the intensity of neurocytopathic effect was such that large areas of brain mass dissociated from the cultures. These results indicate that stimulation of PBM with A beta significantly heightens their neurocytopathic activity and highlight the possibility that inflammatory reactions in the brain play a role in the neurodegeneration that accompanies Alzheimer disease.

Characterization of the gene cluster of high-molecular-mass nitrile hydratase (H-NHase) induced by its reaction product in Rhodococcus rhodochrous J1.

The 4.6-kb region 5'-upstream from the gene encoding a cobalt-containing and amide-induced high molecular mass-nitrile hydratase (H-NHase) from Rhodococcus rhodochrous J1 was found to be required for the expression of the H-NHase gene with a host-vector system in a Rhodococcus strain. Sequence analysis has revealed that there are at least five open reading frames (H-ORF1 approximately 5) in addition to H-NHase alpha- and beta-subunit genes. Deletion of H-ORF1 and H-ORF2 resulted in decrease of NHase activity, suggesting a positive regulatory role of both ORFs in the expression of the H-NHase gene. H-ORF1 showed significant similarity to a regulatory protein, AmiC, which is involved in regulation of amidase expression by binding an inducer amide in Pseudomonas aeruginosa. H-ORF4, which has been found to be uninvolved in regulation of H-NHase expression by enzyme assay for its deletion transformant and Northern blot analysis for R. rhodochrous J1, showed high similarity to transposases from insertion sequences of several bacteria. Determination of H-NHase activity and H-NHase mRNA levels in R. rhodochrous J1 has indicated that the expression of the H-NHase gene is regulated by an amide at the transcriptional level. These findings suggest the participation of H-ORF4 (IS1164) in the organization of the H-NHase gene cluster and the involvement of H-ORF1 in unusual induction mechanism, in which H-NHase is formed by amides (the products in the NHase reaction), but not by nitriles (the substrates).