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  • 1
    Electronic Resource
    Electronic Resource
    On the existence of positive solutions of semilinear elliptic equations with Dirichlet boundary conditions (1994)
    Springer
    Mathematische Annalen 298 (1994), S. 543-556 
    Details
    ISSN: 1432-1807
    Keywords: 35J65 ; 60J65 ; 53C21
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01459750
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  • 2
    Electronic Resource
    Electronic Resource
    Protein dynamics studied by NMR (1993)
    Springer
    European biophysics journal 21 (1993), S. 393-401 
    Details
    ISSN: 1432-1017
    Keywords: NMR ; β-sheets ; α-helices ; dynamics ; protein-actions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract The results of NMR studies using several nuclei indicate that proteins have considerable internal mobility. The most obvious is the mobility of side-chains. This mobility is general on the exterior surfaces but extends internally in a differential way. The functional value of surface mobility concerns both on and off rates of ligand binding (e.g. metal ions and parts of substrates) and protein/protein interactions. The mobility, which indicates that recognition is more in the hand-in-glove class than in the lock-in-key class, makes for a modified view of the specificity of protein interactions. Thus, fast on/off systems cannot be as selective as slower systems. Segmental mobility of proteins is considered in the context of protein secondary structure. The least mobile segments are the β-sheet and the tight β-turn. Mobility is always possible for, but not within, rod-like helices and in loose turns. Many examples are given and the importance of mobility in molecular machines is described. Finally, examples are given of virtually random-coil proteins, segments, and linker regions between domains and the functional value of such extremely dynamic regions of proteins is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00185866
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  • 3
    Electronic Resource
    Electronic Resource
    Cation distributions and the energy status of cells (1970)
    Springer
    Journal of bioenergetics and biomembranes 1 (1970), S. 215-225 
    Details
    ISSN: 1573-6881
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Physics
    Notes: Abstract Further evidence is presented as to the distribution of the four major cations in biological systems: sodium, potassium, calcium, and magnesium. A relationship between ATPase activity and the cation balances is examined, but as the ATPase activity is itself dependent upon ion gradients the steady state of a cell must be dependent upon the ATPase enzyme concentration, the ion concentrations which it helps to maintain, and the availability of ATP. The effect of the product of these three terms upon the stability of fibosomes and other structures is pursued and its ramifications in cell growth (protein synthesis) and electrical activity discussed. Consequential effects, which could be linked with differentiation and retention of information in such structures as the brain, are also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01515982
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  • 4
    Electronic Resource
    Electronic Resource
    Gelation in the cyclotrimerization of dicyanates considering substitution effects (1992)
    Springer
    Polymer bulletin 28 (1992), S. 219-225 
    Details
    ISSN: 1436-2449
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The cyclotrimerization of dicyanates to form polycyanurate networks has been analyzed using a pure kinetic model and a combined kinetic-recursive procedure. In both cases substitution effects were considered, i.e. the reactivity of OCN groups pertainning to clusters was assumed lower than the corresponding reactivity of the monomer groups. The gel conversion varied from 1/2 (no substitutions effects) to 2/3 (infinite substitution effects). The evolution of trimer concentration along the reaction constitutes a direct experimental evidence to decide whether the polymerization follows or not an ideal course, described by the mean-field theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00299659
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  • 5
    Electronic Resource
    Electronic Resource
    Molecular-mass distributions resulting from the homopolymerization of monoepoxides initiated by tertiary amines (1992)
    Springer
    Polymer bulletin 28 (1992), S. 459-465 
    Details
    ISSN: 1436-2449
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary A reaction scheme based on propagation and intramolecular chain transfer steps is proposed for the anionic homopolymerization of epoxides initiated by tertiary amines. Chain transfer regenerates a living chain and gives a dead chain with terminal vinilydene unsaturations and hydroxy groups. The possibility of generating phenols or substituted phenols is also considered. Molecular-mass distributions were predicted as a function of conversion by both kinetic and Monte Carlo methods. Predictions were compared with experimental results reported in the literature. The evolution of the number-average degree of polymerization could be reasonably predicted.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00297340
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  • 6
    Electronic Resource
    Electronic Resource
    Macro- and microgelation in the homopolymerization of diepoxides initiated by tertiary amines (1991)
    Springer
    Polymer bulletin 27 (1991), S. 9-15 
    Details
    ISSN: 1436-2449
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary The homopolymerization of an epoxy resin based on diglycidylether of bisphenol A (DGEBA), initiated by benzyldimethylamine (BDMA), was analyzed in the 80°C–140°C temperature range. An heterogeneous network characterized by regions of different glass transition temperature, was obtained. Microgels appeared early in the polymerization while an increase in the reactivity of the second epoxy group of a DGEBA molecule after reaction of the first one, was inferred from size exclusion chromatograms (SEC), obtained at different overall conversions. Both experimental findings were qualitatively explained through an intramolecular chain transfer step that regenerates the initiator in the proximity of pendant epoxy groups. The increase in the polymerization temperature produced an increase in the macroscopic gel conversion and a decrease in the glass transition temperature of regions of high crosslink density. This was ascribed to the increase in the ratio of intramolecular chain transfer over propagation rates, leading to shorter primary chains.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00296318
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  • 7
    Electronic Resource
    Electronic Resource
    Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant (1993)
    Springer
    Probability theory and related fields 96 (1993), S. 283-317 
    Details
    ISSN: 1432-2064
    Keywords: 60J60 ; 60J65 ; 60G44 ; 60K25 ; 58G32
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This work is concerned with the existence and uniqueness of a class of semimartingale reflecting Brownian motions which live in the non-negative orthant of ℝ d . Loosely speaking, such a process has a semimartingale decomposition such that in the interior of the orthant the process behaves like a Brownian motion with a constant drift and covariance matrix, and at each of the (d-1)-dimensional faces that form the boundary of the orthant, the bounded variation part of the process increases in a given direction (constant for any particular face) so as to confine the process to the orthant. For historical reasons, this “pushing” at the boundary is called instantaneous reflection. In 1988, Reiman and Williams proved that a necessary condition for the existence of such a semimartingale reflecting Brownian motion (SRBM) is that the reflection matrix formed by the directions of reflection be completely-L. In this work we prove that condition is sufficient for the existence of an SRBM and that the SRBM is unique in law. It follows from the uniqueness that an SRBM defines a strong Markov process. Our results have potential application to the study of diffusions arising as approximations tomulti-class queueing networks.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01292674
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  • 8
    Electronic Resource
    Electronic Resource
    Reflected Brownian motion with skew symmetric data in a polyhedral domain (1987)
    Springer
    Probability theory and related fields 75 (1987), S. 459-485 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper is concerned with the characterization and invariant measures of certain reflected Brownian motions (RBM's) in polyhedral domains. The kind of RBM studied here behaves like d-dimensional Brownian motion with constant drift μ in the interior of a simple polyhedron and is instantaneously reflected at the boundary in directions that depend on the face that is hit. Under the assumption that the directions of reflection satisfy a certain skew symmetry condition first introduced in Harrison-Williams [9], it is shown that such an RBM can be characterized in terms of a family of submartingales and that it reaches non-smooth parts of the boundary with probability zero. In [9], a purely analytic problem associated with such an RBM was solved. Here the exponential form solution obtained in [9] is shown to be the density of an invariant measure for the RBM. Furthermore, if the density is integrable over the polyhedral state space, then it yields the unique stationary distribution for the RBM. In the proofs of these results, a key role is played by a dual process for the RBM and by results in [9] for reflected Brownian motions on smooth approximating domains.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00320328
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  • 9
    Electronic Resource
    Electronic Resource
    Cytochrome P-450 suggestions as to the structure and mechanism of action (1970)
    Springer
    Naturwissenschaften 57 (1970), S. 69-72 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00590682
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  • 10
    Electronic Resource
    Electronic Resource
    On the existence of positive solutions for semilinear elliptic equations with Neumann boundary conditions (1995)
    Springer
    Probability theory and related fields 101 (1995), S. 251-276 
    Details
    ISSN: 1432-2064
    Keywords: 35J65 ; 60J65 ; 53C21
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We give sufficient conditions for the existence of positive solutions to some semilinear elliptic equations in unbounded Lipschitz domainsD ⊂ ℝ d (d≥3), having compact boundary, with nonlinear Neumann boundary conditions on the boundary ofD. For this we use an implicit probabilistic representation, Schauder's fixed point theorem, and a recently proved Sobolev inequality forW 1,2(D). Special cases include equations arising from the study of pattern formation in various models in mathematical biology and from problems in geometry concerning the conformal deformation of metrics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01375828
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