脂蛋白(a)与动脉粥样硬化及脑梗死的研究进展

脂蛋白(a)是由载脂蛋白(a)和低密度脂蛋白构成的。脂蛋白(a)不随血浆中同型半胱氨酸、载脂蛋白A、高密度脂蛋白的变化而变化,是一种相对独立的脂蛋白。脂蛋白(a)的合成过程主要是在肝脏中完成的,脂蛋白(a)可以抑制NO介导的血管舒张,破坏血管壁中促凝与抗凝因子的平衡,参与动脉粥样硬化斑块的形成。动脉粥样硬化是脑梗死最基本的病因之一,在临床工作中我们应当重视脂蛋白(a)与脑梗死的关系,我们可以通过测定血清中脂蛋白(a)的水平来预测脑梗死的患病风险,尤其能对病变损害程度重,病变累及范围广的脑梗死的发生提出预警。高水平的血浆脂蛋白(a)是脑梗死及动脉粥样硬化的独立危险因素,本文就脂蛋白(a)与动脉粥样硬化及脑梗死研究中的进展做一综述,为脑梗死的预防提供参考和研究依据。     

The column types of Neottia and Archineottia of the family Orchidaceae and their taxonomic and phylogenetic significance

The column is the most characteristic part of an orchid flower. It is considered to be formed by the union of stamens with a central style and stigma. In the Apostasieae, for example, the column is rather primitive in the stamens and style only partially united, whereas in the majority of higher orchids it becomes more advanced through a eomplete union of them into a single organ. Within the family, indeed, the column structure is greatly diversified and of great taxonomic significance. It is interesting to note that a great range of diversity of column structure is bund in Neottia (sensu lato), a small but widespread genus consisting of 14 species, about two thirds of which, however, are of local occurance and seem to be little known to many botanists. In some speeies of this genus we find a very primitive column structure which is quite unique in the family, while in the others it is much more complicated. In all, five types of their column structure can be distinguished as fol- lows: (1) column rather longer; anther erect with a short filament attached to the back of the column near the apex; stigma terminal; neither clinandrium nor rostellure; (f. 2, 4) (2) as the preceding, 'except for the stigma more or less curved foreward and filament longer; (f. 6, 8) (3) column rather longer with a clinandrium at its summit, upon which a sessile and incumbent anther sits; rostellum large, horizontally projecting out over the concave stigma situated in the front of the column; (f. 10, 13, 15, 17) (4) as the preceding, except, for the anther and rostellum almost erect, and the stigma more or less bilabiate; (f. 19,21) (5) column very short; anther and rostellum erect; stigma lamellate, erect; reflexed and almost clasping the rostellum. (f.,2g) In these .five types, with the exception of the first one in which the labellum (the median petal) is very similar to the lateral: petals, they all possess zygomorphic perianth with labellum bilobed or entire which is quite different from the two lateral petals. Here, we see a great change in the column structure from one form with stamen and style not fully united to another form in which they have been well fused. Speaking strictly, these are two sorts of entirely different column structure. The former one, represented by (1) and (2) as stated above, is, in fact, an incomplete or s very primitive column in having a terminal stigma and an erect stamen with its free filament attached to the back of the column; and the absence of clinandrium and rostellum. Furthermore, there exists on the back of the column a thick ridge with its upper end joined to the filament, with which it is of the same texture and appearance. In Neottia pantlingii (=Arohineottia pantlingii) the free filament is even rather longer than the ridge, (f. 6) while in the other three species (f. 2, 4, 8) they are shorter. It is in my opinion the lower part of the filament adnate to the compound style or column. This is another fact of interest perhaps not occuring in any other living orchids. On the other hand, the latter one, represented by (3), (4) and (5), is a more advanced column structure, in which a higher level of specialisation with well-developed clinandrium and rostellum is reached. The stigma becomes shallow depressed on the anterior side of the column, or sometimes in the form of somewhat a bilabiate lip projecting out before or under the long rostellum. This is apparently a complete column both in structure and function quite different from the former and, contrarily, much like that of Listera. Basing upon the facts just mentioned, we may subdivided Neottia (sensu lato) into two distinct genera, with two and three sections respectively. They are as follows: 1. Archineottia S. C. Chen, gen. nov. (1) Sect. Archineottia 1) A. gaudissartii (Hand.-Mzt.) S. C. Chen, comb. nov. (China) 2) A. microglottis (Duthie) S. C. Chen, comb. nov. (India) (2) Sect. Furciila S. C. Chen, sect. nov. 3) A. pantlingii (W. W. Smith) S. C. Chen, comb. nov. (Sikkim) 4) A. smithiana (Schltr.) S. C. Chen, comb. nov. (China) 2. Neottia Guett. (1) Sect. Listeroides S.C. Chen, sect. nov. 1) N. listeroides (L.) Rchb. f. (China, Sikkim, Kashmir) 2) N. camtschatea (L.) Rchb. f, (China, Soviet Union) 3) N. megalochila S. C. Chen, nom. nov. (China) 4) N. inayatii (I)uthie) Schltr. (Pakistan, Kashmir) 5) N. tenii Schltr; (China) (2) Sect. Neottia 6) N. papilligera Schltr. (Chinas: Japan, Korea, Soviet Union, Sikkim) 7) N. nidus-avis (L.) L. C. Rich. (Europe, Iran, Western Siberia) 8) N. brevilabris Tang et Wang: (China) (3) Sect. Hologlossa S. C. Chen, sect. nov. 9) N. acuminata Schltr. (China, Japan, Korea, Soviet Union, Sikkim) Inperfeetly known species: 10) N. ussuriensis (Kom. et Nevski) S6o (Soviet Union) Thus, the subtribe Neottiinae are composed of four genera, namely, Diplandrorchis, Archineottia, Neottia and Listera. The new genus Archineottia, as one of the most primitive genera in the family, is of great interest from a phylogenetic point of view. It shows dose similarity to Diplandrorchis and Neottia in habit, but sharply distinct from them in column structure. These genera, as indicated By some authors, also show affinity in some respects with the subtribe Limodorinae, especially to Tangtsinia and Sinorchis, the other two quite primitive genera in the family. There is, indeed, a great need of further study of these interesting or relic genera and this, I think, would go a long way towards solving the problems concerning the origin ofthe Orchidaceae.     

Spectral and kinetic studies on eosinophil peroxidase compounds I and II and their reaction with ascorbate and tyrosine.

Eosinophil peroxidase, the major granule protein in eosinophils, is the least studied human peroxidase. Here, we have performed spectral and kinetic measurements to study the nature of eosinophil peroxidase intermediates, compounds I and II, and their reduction by the endogenous one-electron donors ascorbate and tyrosine using the sequential-mixing stopped-flow technique. We demonstrate that the peroxidase cycle of eosinophil peroxidase involves a ferryl/porphyrin radical compound I and a ferryl compound II. In the absence of electron donors, compound I is shown to be transformed to a species with a compound II-like spectrum. In the presence of ascorbate or tyrosine compound I is reduced to compound II with a second-order rate constant of (1.0+/-0.2)x10(6) M(-1) s(-1) and (3.5+/-0.2)x10(5) M(-1) s(-1), respectively (pH 7.0, 15 degrees C). Compound II is then reduced by ascorbate and tyrosine to native enzyme with a second-order rate constant of (6.7+/-0.06)x10(3) M(-1) s(-1) and (2.7+/-0.06)x10(4) M(-1) s(-1), respectively. This study revealed that eosinophil peroxidase compounds I and II are able to react with tyrosine and ascorbate via one-electron oxidations and therefore generate monodehydroascorbate and tyrosyl radicals. The relatively fast rates of the compound I reduction demonstrate that these reactions may take place in vivo and are physiologically relevant.     

Poly(ADPR)polymerase expression and activity during proliferation and differentiation of rat astrocyte and neuronal cultures.

Poly(ADPR)polymerase (poly(ADPR)P) mRNA and enzymatic activity levels were investigated in primary cultures of rat astrocytes and neurons in the absence or presence of basic fibroblast growth factor (bFGF) and nerve growth factor (NGF), respectively. In cultured rat astrocytes, a biphasic increase in poly(ADPR)P mRNA, associated with enhanced nuclear poly(ADPR)P enzymatic activity, were observed. The first rise in poly(ADPR)P mRNA and enzymatic activity is at the beginning of cell proliferation and the second with the occurrence of cell differentiation. In the presence of bFGF (5 ng/ml) the mRNA peaks and the differentiation-associated poly(ADPR)P enzymatic activity undergoes a 2-fold increase. In neuronal cultures an initial high level of poly(ADPR)P mRNA is followed by a decrease while differentiation is progressively achieved. A limited increase of poly(ADPR)P activity is observed during this phase. In the presence of NGF (50 ng/ml), similar poly(ADPR)P mRNA expression and enzymatic activity patterns are observed. The results suggest that poly(ADPR)P is involved at the onset of nerve-cell proliferation and differentiation.     

Heat capacity and thermodynamic characteristics of denaturation and glass transition of hydrated and anhydrous proteins

Calorimetric measurements of absolute heat capacity have been performed for hydrated (11)S-globulin (0 < C(H(2)O) < 25%) and for lysozyme in a concentrated solution, both in the native and denatured states. The denaturation process is observed in hydrated and completely anhydrous proteins; it is accompanied by the appearance of heat capacity increment (Delta(N)(D)C(p)), as is the case for protein solutions. It has been shown that, depending on the temperature and water content, the hydrated denatured proteins can be in a highly elastic or glassy states. Glass transition is also observed in hydrated native proteins. It is found that the denaturation increment Delta(N)(D)C(p) in native protein, like the increment DeltaC(p) in denatured protein in glass transition at low water contents, is due to additional degrees of freedom of thermal motion in the protein globule. In contrast to the conventional notion, comparison of absolute C(p) values for hydrated denatured proteins with the C(p) values for denatured proteins in solution has indicated a dominant contribution of the globule thermal motion to the denaturation increment of protein heat capacity in solutions. The concentration dependence of denaturing heat absorption (temperature at its maximum, T(D), and thermal effect, DeltaQ(D)) and that of glass transition temperature, T(g), for (11)S-globulin have been studied in a wide range of water contents. General polymeric and specific protein features of these dependencies are discussed.     

Lipoprotein(a), atherosclerosis and thrombosis

Lipoprotein(a) denotes cholesterol-rich particles similar to low density lipoproteins but characterized by an extra large hydrophilic glycoprotein, Apo(a), added to low density lipoproteins. Apolipoprotein(a) is bound to ApoB-100 by a disulfide bridge. Eleven different Apo(a) isoforms of varying sizes coded for by alleles at the Apo(a) gene locus on chromosome 6 have been identified, ranging in Mr between roughly 400-800 kDa. The level of lipoprotein(a) is inversely correlated with isoform size. A strong independent association between high lipoprotein(a) levels and atherosclerotic disorders is documented. Lipoprotein(a) is selectively retained in the intima and engulfed by macrophages in unmodified form. Human Apo(a) is very similar to plasminogen, which suggests that lipoprotein(a) represents a link between atherosclerosis and thrombosis.     

Neuropharmacology and Stereochemistry of Dopamine Receptor Agonist and Antagonist Enantiomeric Pairs

Abstract

Neuropharmacological evaluation of the R and S isomers of 11-hydroxy-N-n-propylnoraporphine (11-OH-NPa) supports the impression that the 11-OH group in aporphines (analogous to the meta hydroxyl of dopamine, DA) is sufficient to confer high affinity and activity at DA receptors. As in the case of the catechol congeners, (R)-apomorphine (APO) and (R)-N-n-propylnorapomorphine (NPA), (R)-11-OH-NPa is a potent DA agonist while, like (S)-NPA, (S)-11-OH-NPa is a DA antagonist. Thus, (R) and (S)-11-OH-NPa are an additional pair of compounds in which one enantiomer is a DA agonist and the other an antagonist. Other analogous pairs are the enantiomers of 3-(3-hydroxy-N-n-propylnoraporphine (3-PPP), and cis-1-methyl-5-hydroxy-N-n-propylamino) tetralin (5-OH-MDAT). All contain a meta hydroxyphenyl, an N-n-propyl, and a phenethylamine moiety which can be superimposed in a consistent way to discriminate the DA agonists from the antagonists, with the key feature in this discrimination being the direction of the ammonium hydrogen. An energy penalty must be incurred by 3-PPP to assume the required conformations and it may account     

Analysis of the directed and nondirected movement of human granulocytes: influence of temperature and ECHO 9 virus on N- formylmethionylleucylphenylalanine-induced chemokinesis and chemotaxis

The directed movement of human polymorphonuclear leukocytes (PMN) in a plane (Zigmond chamber assay) is described by a statistical model. We demonstrate that (a) the movement of a single cell is a superposition of a directed and a random movement, and (b) the degree of orientation, P1, of moving cells in a chemotactic gradient can be determined either by the time average of a single cell or by the average of movement of multiple cells at a fixed time (Ergoden hypothesis). However, an homogeneous cell population is a necessary condition. P1, which is identical with the McCutcheon index, is derived from the measured angular distribution function of moving cells. The statistical model allows one to distinguish between chemotaxis and chemokinesis. Applying this model to the temperature-dependent changes of cell movement, we found that P1 = 0.82 (37 degrees C) decreased to P1 = 0.4 (22 degrees C). The average speed of moving cells exhibits a very strong temperature-dependent variation from 30 microns/min (37 degrees C) to 5 microns/min (22 degrees C), indicating a different temperature dependence of chemotaxis and chemokinesis. At a fixed temperature (37 degrees C) the stability of the chemotactic gradient can also be checked by the angular distribution function. In addition, this model was applied to investigate the enteric cytopathogenic human orphan, strain 9 (ECHO 9) virus-induced disturbances of cell movement. We found: (a) The average speed of cell movement is not affected by the virus. (b) The degree of orientation is not affected for virus doses below a critical virus dose, ao (virus/PMN = 0.8:1). (c) The degree of orientation above this critical value exhibits a time- and virus-dose- dependence. (d) At a fixed viral dose, the time-dependent decrease of P1 is described by an exponential law (virus/PMN = 5:1, the characteristic time is 110 min). (e) This characteristic time investigated as a function of viral dose results in a logarithmic law analogous with the Weber-Fechner law. These findings indicate that only chemotactic and not chemokinetic response is disturbed by ECHO 9 virus.     

Spectral and kinetic studies on the formation of eosinophil peroxidase compound I and its reaction with halides and thiocyanate

Compound I of peroxidases takes part in both the peroxidation and the halogenation reaction. This study for the first time presents transient kinetic measurements of the formation of compound I of human eosinophil peroxidase (EPO) and its reaction with halides and thiocyanate, using the sequential-mixing stopped-flow technique. Addition of 1 equiv of hydrogen peroxide to native EPO leads to complete formation of compound I. At pH 7 and 15 degrees C, the apparent second-order rate constant is (4.3 +/- 0.4) x 10(7) M(-1) s(-1). The rate for compound I formation by hypochlorous acid is (5.6 +/- 0.7) x 10(7) M(-1) s(-1). EPO compound I is unstable and decays to a stable intermediate with a compound II-like spectrum. At pH 7, the two-electron reduction of compound I to the native enzyme by thiocyanate has a second-order rate constant of (1.0 +/- 0. 5) x 10(8) M(-1) s(-1). Iodide [(9.3 +/- 0.7) x 10(7) M(-1) s(-1)] is shown to be a better electron donor than bromide [(1.9 +/- 0.1) x 10(7) M(-1) s(-1)], whereas chloride oxidation by EPO compound I is extremely slow [(3.1 +/- 0.3) x 10(3) M(-1) s(-1)]. The pH dependence studies suggest that a protonated form of compound I is more competent in oxidizing the anions. The results are discussed in comparison with those of the homologous peroxidases myeloperoxidase and lactoperoxidase and with respect to the role of EPO in host defense and tissue injury.     

Unfolding and inactivation of cutinases by AOT and guanidine hydrochloride

We present a comparative analysis of the unfolding and inactivation of three cutinases in the presence of guanidine hydrochloride (GdnHCl) and bis(2-ethylhexyl) sodium sulfosuccinate (AOT). Previous investigations have focused on the cutinase from Fusarium solani pisi (FsC). In addition to FsC, the present study includes the cutinase from Humicola insolens (HiC) and a mutant variant of HiC (muHiC) with increased activity and decreased surfactant sensitivity. Equilibrium and time-resolved denaturation by AOT were studied in aqueous solution and reverse micelles, and were compared with GdnHCl denaturation. The far-UV CD and fluorescence denaturation profiles obtained in the aqueous solutions of the two denaturants coincide for all three cutinases, indicating that unfolding is a co-operative two-state process under these conditions. In reverse micelles, the cutinases unfold with mono-exponential rates, again indicating a two-state process. The free energy of denaturation in water was calculated by linear extrapolation of equilibrium data, yielding very similar values for the three cutinases with averages of -11.6 kcal mol(-1) and -2.6 kcal mol(-1) for GdnHCl and AOT, respectively. Hence, the AOT denatured state (D(AOT)) is less destabilised than the GdnHCl denatured state (D(GdnHCl)), relative to the native state in water. Far-UV CD spectroscopy revealed that D(AOT) retains some secondary structure, while D(GdnHCl) is essentially unstructured. Similarly, fluorescence data suggest that D(AOT) is more compact than D(GdnHCl). Activity measurements reveal that both D(AOT) and D(GdnHCl) are practically inactive (catalytic activity <1% of that of the native enzyme). The fluorescence spectrum of D(AOT) in reverse micelles did not differ significantly from that observed in aqueous AOT. NMR studies of D(AOT) in reverse micelles indicated that the structure is characteristic of a molten globule, consistent with the CD and fluorescence data.     

New chamber for holding and sketching copepods and other small zoological specimens

The chamber is a simple device which makes it possible to hold copepods of length range between 1 and 15 mm or other bilateral animals of similar size for visual examination, sketching or dissection. The chamber consists of four parts: a base (a standard slide); the chamber proper which is a cylindrical cavity 16 mm in diameter cut into a rectangular (or square), transparent, 3 mm thick perspex (plexiglass) plate whose maximum width is the same as the width of the base; one or more lengths of thin synthetic (nylon) threads; and a standard coverglass. The perspex plate (the chamber proper) is attached to the base (slide) using a thin coat of plasticine (or any suitable dense lubricant) applied to the bottom surface of the plate. One or several nylon threads are set in the plasticine coat and cross the plate and its cavity. The ends of threads are outside the plate; one end of each thread is fixed, and one is left free. The chamber is filled with a suitable liquid medium, the specimen is placed in the desired position beneath the thread(s) and its position is fixed by pulling the free end of thread(s) so that the thread(s) press slightly against the specimen, holding it to the surface of the slide. The chamber then is covered with the coverglass.     

Classification and analysis of regulatory pathways using graph property, biochemical and physicochemical property, and functional property

Given a regulatory pathway system consisting of a set of proteins, can we predict which pathway class it belongs to? Such a problem is closely related to the biological function of the pathway in cells and hence is quite fundamental and essential in systems biology and proteomics. This is also an extremely difficult and challenging problem due to its complexity. To address this problem, a novel approach was developed that can be used to predict query pathways among the following six functional categories: (i) “Metabolism”, (ii) “Genetic Information Processing”, (iii) “Environmental Information Processing”, (iv) “Cellular Processes”, (v) “Organismal Systems”, and (vi) “Human Diseases”. The prediction method was established trough the following procedures: (i) according to the general form of pseudo amino acid composition (PseAAC), each of the pathways concerned is formulated as a 5570-D (dimensional) vector; (ii) each of components in the 5570-D vector was derived by a series of feature extractions from the pathway system according to its graphic property, biochemical and physicochemical property, as well as functional property; (iii) the minimum redundancy maximum relevance (mRMR) method was adopted to operate the prediction. A cross-validation by the jackknife test on a benchmark dataset consisting of 146 regulatory pathways indicated that an overall success rate of 78.8% was achieved by our method in identifying query pathways among the above six classes, indicating the outcome is quite promising and encouraging. To the best of our knowledge, the current study represents the first effort in attempting to identity the type of a pathway system or its biological function. It is anticipated that our report may stimulate a series of follow-up investigations in this new and challenging area.     

The pyrophosphatase activity of pig kidney alkaline phosphatase and its inhibition by magnesium ions and excess of pyrophosphate

1. Pig kidney enzyme resembles other non-specific alkaline phosphatases in its ability to hydrolyse inorganic pyrophosphate (PP(i)). 2. Studies of enzyme velocity as a function of PP(i) concentration show that Michaelis-Menten kinetics are obeyed when a constant PP(i)/Mg(2+) concentration ratio is maintained, but velocity-substrate concentration curves are sigmoid when the concentration of PP(i) is increased but that of Mg(2+) is kept constant. The enzyme is inhibited when the total PP(i) concentration is greater than the total concentration of Mg(2+). Pyrophosphatase activity is activated by Mg(2+), but if the concentration of the metal ion is increased to a value in excess of the total PP(i) concentration Mg(2+) is then strongly inhibitory. 4. It appears that the enzyme is most active towards the complex ion MgPP(i) (2-). The enzyme probably hydrolyses PP(i) (4-) also, but this is a poorer substrate and its competition with MgPP(i) (2-) leads to inhibition. At high Mg(2+) concentrations Mg(2)PP(i) is formed. This complex appears to be a potent inhibitor. 5. Sigmoid plots of v against s and of v against i result from interactions occurring between Mg(2+) and PP(i) (4-) leading to MgPP(i) (2-) and Mg(2)PP(i), and are not indicative of allosteric behaviour.     

Chemistry and insulin-like properties of vanadium(IV) and vanadium(V) compounds

The chemistry of vanadium compounds that can be taken orally is very timely since a vanadium(IV) compound, KP-102, is currently in clinical trials in humans, and the fact that human studies with inorganic salts have recently been reported. VO(acac)2 and VO(Et-acac)2 (where acac is acetylacetonato and Et-acac is 3-ethyl-2,4-pentanedionato) have long-term in vivo insulin mimetic effects in streptozotocin induced diabetic Wistar rats. Structural characterization of VO(acac)2 and two derivatives, VO(Me-acac)2 and VO(Et-acac)2, in the solid state and solution have begun to delineate the size limits of the insulin-like active species. Oral ammonium dipicolinatooxovanadium(V) is a clinically useful hypoglycemic agent in cats with naturally occurring diabetes mellitus. This compound is particularly interesting since it represents the first time that a well-characterized organic vanadium compound with the vanadium in oxidation state five has been found to be an orally effective hypoglycemic agent in animals.     

Model complexes with naturally occurring ligands (salicylglycine and imidazol) and the biometals copper and cobalt

Two new complexes [Cu(Imz)(4)Cl(2)][Cu(Imz)(4)Cl] (2)(2-OH-Hip)(2) (1) and [Co(2-OH-Hip)(Imz)(3)].H(2)O (2) (with Imz=Imidazol and 2-OH-Hip=2-hydroxyhippuric acid) were prepared and characterized. The molecular structures and the solution and solid state behavior of the complexes were investigated. Complex 1 crystallizes in the monoclinic space group P2(1)/c with a=16.880(1), b=8.046(1), c=24.683(1) A, beta=107.88(1) degrees, and Z=2, while complex 2 crystallizes in the orthorhombic space group Pbca with a=11.712(2), b=15.741(4), c=22.254(4) A, and Z=8. The [Cu(Imz)(4)Cl(2)][Cu(Imz)(4)Cl](2)(2-OH-Hip)(2) solid consists in two distinct monomeric Cu(II) complexes: one of them is neutral octahedral [Cu(Imz)(4)Cl(2)] and the other, charged square basis pyramida [Cu(Imz)(4)Cl](+). The 2-hydroxyhippuric acid, which here acts as a counter ion, is deprotonated at its carboxylic group. Cobalt(III) ion in [Co(2-OH-Hip)(Imz)(3)].H(2)O is at the center of an octahedral environment, coordinated to three Imidazol ligands and to a triply deprotonated 2-hydroxyhippuric acid molecule acting as a tridentate ligand. Aqueous solution equilibrium of the quaternary system Cu(2+)/2-OH-Hip/Imz/H(+) was studied by potentiometric titrations.     

Models and estimators linking individual-based and sample-based rarefaction,extrapolation and comparison of assemblages

Aims In ecology and conservation biology, the number of species counted in a biodiversity study is a key metric but is usually a biased underestimate of total species richness because many rare species are not detected. Moreover, comparing species richness among sites or samples is a statistical challenge because the observed number of species is sensitive to the number of individuals counted or the area sampled. For individual-based data, we treat a single, empirical sample of species abundances from an investigator-defined species assemblage or community as a reference point for two estimation objectives under two sampling models: estimating the expected number of species (and its unconditional variance) in a random sample of (i) a smaller number of individuals (multinomial model) or a smaller area sampled (Poisson model) and (ii) a larger number of individuals or a larger area sampled. For sample-based incidence (presence–absence) data, under a Bernoulli product model, we treat a single set of species incidence frequencies as the reference point to estimate richness for smaller and larger numbers of sampling units.Methods The first objective is a problem in interpolation that we address with classical rarefaction (multinomial model) and Coleman rarefaction (Poisson model) for individual-based data and with sample-based rarefaction (Bernoulli product model) for incidence frequencies. The second is a problem in extrapolation that we address with sampling-theoretic predictors for the number of species in a larger sample (multinomial model), a larger area (Poisson model) or a larger number of sampling units (Bernoulli product model), based on an estimate of asymptotic species richness. Although published methods exist for many of these objectives, we bring them together here with some new estimators under a unified statistical and notational framework. This novel integration of mathematically distinct approaches allowed us to link interpolated (rarefaction) curves and extrapolated curves to plot a unified species accumulation curve for empirical examples. We provide new, unconditional variance estimators for classical, individual-based rarefaction and for Coleman rarefaction, long missing from the toolkit of biodiversity measurement. We illustrate these methods with datasets for tropical beetles, tropical trees and tropical ants.Important findings Surprisingly, for all datasets we examined, the interpolation (rarefaction) curve and the extrapolation curve meet smoothly at the reference sample, yielding a single curve. Moreover, curves representing 95% confidence intervals for interpolated and extrapolated richness estimates also meet smoothly, allowing rigorous statistical comparison of samples not only for rarefaction but also for extrapolated richness values. The confidence intervals widen as the extrapolation moves further beyond the reference sample, but the method gives reasonable results for extrapolations up to about double or triple the original abundance or area of the reference sample. We found that the multinomial and Poisson models produced indistinguishable results, in units of estimated species, for all estimators and datasets. For sample-based abundance data, which allows the comparison of all three models, the Bernoulli product model generally yields lower richness estimates for rarefied data than either the multinomial or the Poisson models because of the ubiquity of non-random spatial distributions in nature.     

Bifurcation of orbits and synchrony in inferior olive neurons

Inferior olive neurons (IONs) have rich dynamics and can exhibit stable, unstable, periodic, and even chaotic trajectories. This paper presents an analysis of bifurcation of periodic orbits of an ION when its two key parameters (a, μ) are varied in a two-dimensional plane. The parameter a describes the shape of the parabolic nonlinearity in the model and μ is the extracellular stimulus. The four-dimensional ION model considered here is a cascade connection of two subsystems (S(a) and S(b)). The parameter plane (a - μ) is delineated into several subregions. The ION has distinct orbit structure and stability property in each subregion. It is shown that the subsystem S(a) or S(b) undergoes supercritical Poincare-Andronov-Hopf (PAH) bifurcation at a critical value μ(c)(a) of the extracellular stimulus and periodic orbits of the neuron are born. Based on the center manifold theory, the existence of periodic orbits in the asymptotically stable S(a), when the subsystem S(b) undergoes PAH bifurcation, is established. In such a case, both subsystems exhibit periodic orbits. Interestingly when S(b) is under PAH bifurcation and S(a) is unstable, the trajectory of S(a) exhibits periodic bursting, interrupted by periods of quiescence. The bifurcation analysis is followed by the design of (i) a linear first-order filter and (ii) a nonlinear control system for the synchronization of IONs. The first controller uses a single output of each ION, but the nonlinear control system uses two state variables for feedback. The open-loop and closed-loop responses are presented which show bifurcation of orbits and synchronization of oscillating neurons.     

Microsomal and photochemical oxidation and reduction of 1-piperidinoanthraquinone

In microsomes of control Wistar rats, the NADPH-dependent reduction of 1-piperidinoanthraquinone (1-PA) to the corresponding hydroquinone, in the absence of oxygen, has been observed. Two facts ((i) inhibition of the formation of 1-piperidinoanthrahydroquinone (1-PAH) by metyrapone and antibodies to cytochrome P-450, and (ii) increase in the rate of 1-PAH formation upon induction of rats by phenobarbital) indicate that cytochrome P-450 participates in the reduction of 1-PA. Since 1-PA is a substrate of cytochrome P-450 and is oxidized in microsomes to (N-anthraquinonyl-1)-δ-aminovaleric acid (AAV), model experiments have been conducted to examine whether the reduced forms of 1-PA are involved in its oxidation. During photochemical generation of 1-PAH and its subsequent oxidation (N-anthraquinonyl-1)-β-aminovaleric aldehyde (AAVal) is formed. However, this product is formed without participation of activated forms of the substrate and oxygen. AAVal) is formed. However, photochemical systems, apparently, is a precursor of AAV in microsomal oxidation of 1-PA. AAVal is a substrate of cytochrome P-450 (the Type I of binding) and is oxidized quantitatively in microsomal systems to yield AAV. The data obtained enable us to propose a possible mechanism of enzyme oxidation of 1-PA.