一类BAM随机神经网络的稳定性

对于一类双向联想记忆（BAM）随机神经网络。研究其全局稳定性和指数稳定性,利用Schwarz积分不等式和Ito积分性质,给出其稳定性判定的充分性条件．     

The synaptic vesicle proteome: a comparative study in membrane protein identification

A proteomic analysis of the synaptic vesicle was undertaken to obtain a better understanding of vesicle regulation. Synaptic vesicles primarily consist of integral membrane proteins that are not well resolved on traditional isoelectric focusing/two-dimensional gel electrophoresis (IEF/2-DE) gels and are resistant to in-gel digestion with trypsin thereby reducing the number of peptides available for mass spectrometric analysis. To address these limitations, two complementary 2-DE methods were investigated in the proteome analysis: (a) IEF/sodium dodecyl sulfate-polyacrylamide gel electrophoresis (IEF/SDS-PAGE) for resolution of soluble proteins and, (b) Benzyl hexadecyl ammonium chloride/SDS-PAGE (16-BAC/SDS-PAGE) for resolution of integral membrane proteins. The IEF/SDS-PAGE method provided superior resolution of soluble proteins, but could only resolve membrane proteins with a single transmembrane domain. The 16-BAC/SDS-PAGE method improved separation, resolution and identification of integral membrane proteins with up to 12 transmembrane domains. Trypsin digestion of the integral membrane proteins was poor and fewer peptides were identified from these proteins. Analysis of both the peptide mass fingerprint and the tandem mass spectra using electrospray ionization quadrupole-time of flight mass spectrometry led to the positive identification of integral membrane proteins. Using both 2-DE separation methods, a total of 36 proteins were identified including seven integral membrane proteins, 17 vesicle regulatory proteins and four proteins whose function in vesicles is not yet known.     

Vma21p is a yeast membrane protein retained in the endoplasmic reticulum by a di-lysine motif and is required for the assembly of the vacuolar H(+)-ATPase complex.

The yeast vacuolar proton-translocating ATPase (V-ATPase) is a multisubunit complex comprised of peripheral membrane subunits involved in ATP hydrolysis and integral membrane subunits involved in proton pumping. The yeast vma21 mutant was isolated from a screen to identify mutants defective in V-ATPase function. vma21 mutants fail to assemble the V-ATPase complex onto the vacuolar membrane: peripheral subunits accumulate in the cytosol and the 100-kDa integral membrane subunit is rapidly degraded. The product of the VMA21 gene (Vma21p) is an 8.5-kDa integral membrane protein that is not a subunit of the purified V-ATPase complex but instead resides in the endoplasmic reticulum. Vma21p contains a dilysine motif at the carboxy terminus, and mutation of these lysine residues abolishes retention in the endoplasmic reticulum and results in delivery of Vma21p to the vacuole, the default compartment for yeast membrane proteins. Our findings suggest that Vma21p is required for assembly of the integral membrane sector of the V-ATPase in the endoplasmic reticulum and that the unassembled 100-kDa integral membrane subunit present in delta vma21 cells is rapidly degraded by nonvacuolar proteases.     

一类与传染病模型有关的积分方程的定性性质

证明了一类与传染病模型有关的积分方程解的唯一性,整体存在性和当t→∞时收敛到零的若干充分条件.利用Banach不动点定理证明了存在性结果,利用一个新的积分不等式证明了收敛性结果.     

Integration of microbial ecology and statistics: a test to compare gene libraries

Libraries of 16S rRNA genes provide insight into the membership of microbial communities. Statistical methods help to determine whether differences in library composition are artifacts of sampling or are due to underlying differences in the communities from which they are derived. To contribute to a growing statistical framework for comparing 16S rRNA libraries, we present a computer program, integral -LIBSHUFF, which calculates the integral form of the Cramér-von Mises statistic. This implementation builds upon the LIBSHUFF program, which uses an approximation of the statistic and makes a number of modifications that improve precision and accuracy. Once integral -LIBSHUFF calculates the P values, when pairwise comparisons are tested at the 0.05 level, the probability of falsely identifying a significant P value is 0.098 for a study with two libraries, 0.265 for three libraries, and 0.460 for four libraries. The potential negative effects of making the multiple pairwise comparisons necessitate correcting for the increased likelihood that differences between treatments are due to chance and do not reflect biological differences. Using integral -LIBSHUFF, we found that previously published 16S rRNA gene libraries constructed from Scottish and Wisconsin soils contained different bacterial lineages. We also analyzed the published libraries constructed for the zebrafish gut microflora and found statistically significant changes in the community during development of the host. These analyses illustrate the power of integral -LIBSHUFF to detect differences between communities, providing the basis for ecological inference about the association of soil productivity or host gene expression and microbial community composition.     

Time-dependent ligand current into a saturating cell performing chemoreception

We determine the ligand current into a single spherical cell whose receptors become permanently blocked after binding ligands. Initially the cell is placed in a medium which contains ligands at uniform concentration. The analytical solution for the ligand distribution is obtained in terms of an integral over the solution at the cell surface. For the solution at the cell surface a nonlinear integral equation is derived which is solved numerically. We determine the time-dependent ligand current into the cell and the average number of free receptors in the cell surface as a function of time.     

Iterative Integral Parameter Identification of a Respiratory Mechanics Model

ABSTRACT: BACKGROUND: Patient-specific respiratory mechanics models can support the evaluation of optimal lung protective ventilator settings during ventilation therapy. Clinical application requires that the individual's model parameter values must be identified with information available at the bedside. Multiple linear regression or gradient-based parameter identification methods are highly sensitive to noise and initial parameter estimates. Thus, they are difficult to apply at the bedside to support therapeutic decisions. METHODS: An iterative integral parameter identification method is applied to a second order respiratory mechanics model. The method is compared to the commonly used regression methods and error-mapping approaches using simulated and clinical data. The clinical potential of the method was evaluated on data from 13 Acute Respiratory Distress Syndrome (ARDS) patients. RESULTS: The iterative integral method converged to error minima 350 times faster than the Simplex Search Method using simulation data sets and 50 times faster using clinical data sets. Established regression methods reported erroneous results due to sensitivity to noise. In contrast, the iterative integral method was effective independent of initial parameter estimations, and converged successfully in each case tested. CONCLUSION: These investigations reveal that the iterative integral method is beneficial with respect to computing time, operator independence and robustness, and thus applicable at the bedside for this clinical application.     

Modeling of Coulomb collisions in a kinetic description of the electron cyclotron resonance plasma heating

The electron distribution function is modeled numerically with allowance for Coulomb collisions and quasilinear effects under cyclotron resonance conditions by solving a two-dimensional kinetic equation containing the quasilinear diffusion operator and the Coulomb collision operator in the Landau form. Two simplified model collision integrals that make it possible to describe electron heating by microwave radiation are considered. The first model collision operator is obtained by introducing the parametric time dependence of the temperature of the background Maxwellian electrons into the linear collision integral. It is shown that the heating of the bulk electrons can be described in a noncontradictory way if the temperature dynamics of the background electrons is calculated from the equation of energy balance, which is governed by the amount of the microwave power absorbed by the resonant electrons with the distribution function modified due to quasilinear effects. This conclusion is confirmed in a more rigorous fashion by comparing the solutions obtained using the first model Coulomb collision integral with those obtained using the second model integral, namely, the nonlinear operator derived by averaging the distribution function of the scattering electrons over pitch angles. The time-dependent linear collision integral is used to obtain analytic solutions describing quasi-steady electron heating with allowance for the quasilinear degradation of microwave power absorption.     

Starvation-specific formation of a peripheral exopolysaccharide by a marine Pseudomonas sp., strain S9

The marine bacterium Pseudomonas sp. strain S9 produces exopolysaccharides (EPS) during both growth and total energy source and nutrient starvation. Transmission electron microscopy of immunogold-labeled cells demonstrated that the EPS is closely associated with the cell surface during growth (integral EPS), while both the integral form and a loosely associated extracellular (peripheral) form were observed during starvation. Formation and release of the latter rendered the starvation medium viscous. In addition, after 3 h of starvation in static conditions, less than 5% of the cells were motile, compared with 100% at the onset of starvation and approximately 80% subsequent to release of the peripheral EPS at 27 h of starvation. Inhibition of protein synthesis with chloramphenicol added before 3 h of starvation caused no increase in viscosity. However, addition of chloramphenicol at 3 h did not prevent the subsequent increase in viscosity displayed by S9 cells. The amount of integral EPS increased for both nontreated and chloramphenicol-treated S9 cells during the first hour of starvation, with a subsequent equal decrease. The chloramphenicol-treated cells, as well as cells of a transposon-generated mutant strain deficient in peripheral EPS formation, remained adhesive to a hydrophobic inanimate surface during the initial 5 h of starvation, whereas nontreated wild-type cells had progressively decreased adhesion capacity. During the initial 5 h of starvation, most of the nontreated cells but only a small fraction of the chloramphenicol-treated and mutant cells detached from the hydrophobic substratum.(ABSTRACT TRUNCATED AT 250 WORDS)     

Peptidylglycine alpha-amidating monooxygenase: a multifunctional protein with catalytic, processing, and routing domains.

Peptide alpha-amidation is a widespread, often essential posttranslational modification shared by many bioactive peptides and accomplished by the products of a single gene encoding a multifunctional protein, peptidylglycine alpha-amidating monooxygenase (PAM). PAM has two catalytic domains that work sequentially to produce the final alpha-amidated product peptide. Tissue-specific alternative splicing can generate forms of PAM retaining or lacking a domain required for the posttranslational separation of the two catalytic activities by endoproteases found in neuroendocrine tissue. Tissue-specific alternative splicing also governs the presence of a transmembrane domain and generation of integral membrane or soluble forms of PAM. The COOH-terminal domain of the integral membrane PAM proteins contains routing information essential for the retrieval of PAM from the surface of endocrine and nonendocrine cells. Tissue-specific endoproteolytic processing can generate soluble PAM proteins from integral membrane precursors. Soluble PAM proteins are rapidly secreted from stably transfected nonneuroendocrine cells but are stored in the regulated secretory granules characteristic of neurons and endocrine cells.     

Expression of a peptide processing enzyme in cultured cells: truncation mutants reveal a routing domain.

Peptidylglycine alpha-amidating monooxygenase (PAM) is a bifunctional enzyme responsible for the alpha-amidation of peptides in secretory granules of neuroendocrine cells. The single gene encoding PAM undergoes tissue-specific alternative splicing and endoproteolytic processing to generate bifunctional membrane proteins with a single transmembrane domain as well as soluble proteins that are mono- or bifunctional. In order to examine the endoproteolytic processing and subcellular localization of the various forms of PAM in cells lacking regulated secretory granules, we established stably transfected hEK-293 cell lines expressing naturally occurring and mutant forms of PAM. As expected, newly synthesized soluble PAM proteins were rapidly secreted into the medium. Integral membrane protein forms of PAM were largely localized in the perinuclear region with punctate staining visible throughout the cell and 2-5% of the enzyme activity detectable on the cell surface. Bifunctional PAM proteins were slowly released into the medium after expression of integral membrane protein forms of PAM. Deletion of 77 amino acids from the COOH-terminus of the integral membrane forms of PAM resulted in a membrane-bound protein which retained both enzymatic activities but accumulated on the cell surface. Rapid internalization of full-length PAM proteins was observed by incubating live cells with antiserum to PAM; deletion of the COOH-terminal domain eliminated the ability of cells to internalize PAM. Thus the cytoplasmic domain of integral membrane PAM contains a routing determinant recognized by cells lacking the regulated secretory pathway.     

Starvation-specific formation of a peripheral exopolysaccharide by a marine Pseudomonas sp., strain S9.

The marine bacterium Pseudomonas sp. strain S9 produces exopolysaccharides (EPS) during both growth and total energy source and nutrient starvation. Transmission electron microscopy of immunogold-labeled cells demonstrated that the EPS is closely associated with the cell surface during growth (integral EPS), while both the integral form and a loosely associated extracellular (peripheral) form were observed during starvation. Formation and release of the latter rendered the starvation medium viscous. In addition, after 3 h of starvation in static conditions, less than 5% of the cells were motile, compared with 100% at the onset of starvation and approximately 80% subsequent to release of the peripheral EPS at 27 h of starvation. Inhibition of protein synthesis with chloramphenicol added before 3 h of starvation caused no increase in viscosity. However, addition of chloramphenicol at 3 h did not prevent the subsequent increase in viscosity displayed by S9 cells. The amount of integral EPS increased for both nontreated and chloramphenicol-treated S9 cells during the first hour of starvation, with a subsequent equal decrease. The chloramphenicol-treated cells, as well as cells of a transposon-generated mutant strain deficient in peripheral EPS formation, remained adhesive to a hydrophobic inanimate surface during the initial 5 h of starvation, whereas nontreated wild-type cells had progressively decreased adhesion capacity. During the initial 5 h of starvation, most of the nontreated cells but only a small fraction of the chloramphenicol-treated and mutant cells detached from the hydrophobic substratum.(ABSTRACT TRUNCATED AT 250 WORDS)     

Integral energy as a measure of soil-water availability

The available water capacity is the most commonly used parameter to quantify the amount of water readily available to plants. However, it does not directly describe the energy requirements of the plant to remove a unit amount of water from the soil at various moisture contents within the available range. We present the integral energy concept as an attempt to quantify this. It is calculated from the integral of a soil's water-retention curve. We demonstrate the calculation for different types of soil. The integral energy provides useful information regarding the amount of energy, and hence the availability of water to plants. The value appears to be more correlated with basic soil physical properties, such as clay and sand content, compared with the conventional available water capacity.     

Continuous measurements of a binding reaction using a capacitive biosensor

A capacitive biosensor with polyclonal antibodies raised against human serum albumin (HSA) immobilized on a gold transducer has been developed for continuous measurement of HSA in the muM-range. A mathematical model has been refined to describe integral HSA-binding curves assuming that (i) binding is essentially irreversible under the conditions used, (ii) the signal is scaled as the number of non-occupied binding sites and (iii) the rate of disappearance of available binding sites is scaled as the number of available binding sites and analyte concentration in solution. Deconvolution of the curves using the mathematical model indicates clearly that it is possible to retrieve concentration profiles (isocratic, linearly or exponentially increasing gradients) of the analyte in the continuous sample flow from the normalized integral binding (NIB) curves. The data presented constitutes the theoretical background and the first step towards the development of an analytical system allowing on-line detection of the concentration profile of the analyte from NIB-curves. Since the system can be used for extended time periods between regeneration steps, a low frequency of regeneration steps can be expected.     

COOH-terminal signals mediate the trafficking of a peptide processing enzyme in endocrine cells

Peptidylglycine alpha-amidating monooxygenase (PAM) catalyzes the COOH- terminal amidation of bioactive peptides through a two step reaction catalyzed by separate enzymes contained within the PAM precursor. To characterize the trafficking of integral membrane PAM proteins in neuroendocrine cells, we have generated stable AtT-20 cell lines expressing full length and COOH-terminally truncated integral membrane PAM proteins. Full length integral membrane PAM was present on the cell surface in low but detectable amounts and PAM proteins which reached the cell surface were rapidly internalized but not immediately degraded in lysosomes. Internalized PAM complexed with PAM antibody was found in a subcellular compartment which overlapped with internalized transferrin and with structures binding WGA. Thus the punctate juxtanuclear staining of full length PAM represents PAM in endosomes. Endoproteolytic processing of full length PAM-1 and PAM-2 resulted in the secretion of soluble PAM proteins; the secretion of these soluble PAM proteins was stimulus dependent. Although some of the truncated PAM protein was also processed and stored in AtT-20 cells, much of the expressed protein was redistributed to the plasma membrane. Soluble proteins not observed in large amounts in cells expressing full length PAM were released from the surface of cells expressing truncated PAM and little internalization of truncated integral membrane PAM was observed. Thus, the COOH-terminal domain of PAM contains information important for its trafficking within the regulated secretory pathway as well as information necessary for its retrieval from the cell surface.     

The jackknife estimate of a Kaplan--Meier integral

We derive an explicit formula for the jackknife estimate ofa Kaplan-Meier integral. From this the asymptotic analysis ofthe jackknifed Kaplan-Meier process becomes straightforward.In a small simulation study it is demonstrated that jackknifingmay lead to a considerable reduction of the bias.     

Edge Wave Propagating along a Thin Plasma Layer

A wave propagating along the edge of a thin semi-infinite plasma layer is investigated. The edge wave is described by a set of integral equations that are solved explicitly, yielding the wave dispersion and field distribution.     

Use of amphipathic polymers to deliver a membrane protein to lipid bilayers

Data are presented which suggest that a class of amphiphilic polymers known as 'amphipols' may serve as a vehicle for delivering complex integral membrane proteins into membranes. The integral membrane protein diacylglycerol kinase (DAGK) was maintained in soluble form by either of two different amphipols. Small aliquots of these solutions were added to pre-formed lipid vesicles and the appearance of DAGK catalytic activity was monitored as an indicator of the progress of productive protein insertion into the bilayers. For one of the two amphipols tested, DAGK was observed to productively transfer from its amphipol complex into vesicles with moderate efficiency. Results were not completely clear for the other amphipol.     

Advances in neuromembrane proteomics: efforts towards a comprehensive analysis of membrane proteins in the brain.

Proteomic investigation of normal and diseased brain states has the potential to reveal novel molecular therapeutic and diagnostic targets for a multitude of pathological central nervous system conditions. Due to their unique properties, integral membrane proteins are likely to play a central role in the aetiology of these disorders. These properties, however, have prevented comprehensive analysis of this important class of proteins. Recent advances in sample preparation and proteomic quantification platforms, specifically focused on recovery and enrichment of integral membrane proteins, are discussed.     

Modelling of the control of heart rate by breathing using a kernel method

The process of the breathing (input) to the heart rate (output) of man is considered for system identification by the input-output relationship, using a mathematical model expressed as integral equations. The integral equation is considered and fixed so that the identification method reduces to the determination of the values within the integral, called kernels, resulting in an integral equation whose input-output behaviour is nearly identical to that of the system. This paper uses an algorithm of kernel identification of the Volterra series which greatly reduces the computational burden and eliminates the restriction of using white Gaussian input as a test signal. A second-order model is the most appropriate for a good estimate of the system dynamics. The model contains the linear part (first-order kernel) and quadratic part (second-order kernel) in parallel, and so allows for the possibility of separation between the linear and non-linear elements of the process. The response of the linear term exhibits the oscillatory input and underdamped nature of the system. The application of breathing as input to the system produces an oscillatory term which may be attributed to the nature of sinus node of the heart being sensitive to the modulating signal the breathing wave. The negative-on diagonal seems to cause the dynamic asymmetry of the total response of the system which opposes the oscillatory nature of the first kernel related to the restraining force present in the respiratory heart rate system. The presence of the positive-off diagonal of the second-order kernel of respiratory control of heart rate is an indication of an escape-like phenomenon in the system.