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  • 1
    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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  • 2
    Electronic Resource
    Electronic Resource
    Nichtkatalytische Gas-Feststoff-Reaktion. Chromoxid-Katalysator bei der Methanol-Synthese (1977)
    Springer
    Colloid & polymer science 255 (1977), S. 612-612 
    Details
    ISSN: 1435-1536
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01549793
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  • 3
    Electronic Resource
    Electronic Resource
    Reflecting Brownian motions: Quasimartingales and strong Caccioppoli sets (1993)
    Springer
    Potential analysis 2 (1993), S. 219-243 
    Details
    ISSN: 1572-929X
    Keywords: Primary 60J65 ; secondary 60J60, 60J55, 49Q15, 31C25 ; Brownian motion ; reflecting symmetric diffusion ; Dirichlet form ; Caccioppoli set ; set of finite perimeter ; quasimartingale ; Skorokhod decomposition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A notion ofstrong Caccioppoli set is defined for bounded Euclidean domains. It is shown that stationary (normally) reflecting Brownian motion on the closure of a bounded Euclidean domain is a quasimartingale on each compact time interval if and only if the domain is a strong Caccioppoli set. A similar result is shown to hold for symmetric reflecting diffusion processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01048506
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  • 4
    Electronic Resource
    Electronic Resource
    A physico-chemical approach to morphogenesis: the roles of inorganic ions and crystals (1988)
    Springer
    Cellular and molecular life sciences 44 (1988), S. 638-650 
    Details
    ISSN: 1420-9071
    Keywords: Morphogenesis and inorganic crystals ; crystal morphology ; amorphous solids ; membrane enzymes ; tubulins ; filamentous structures ; equilibrium growth ; crystals ; acantharia ; radiolaria ; desmids ; loxodes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary We consider morphogenesis with special references to the development of mineral frameworks, organic filamentous structures and the location of enzymes, including ion-pumps, in membranes. Starting from a description of the morphology of inorganic crystals we analyse so-called equilibrium growth, i.e. growth at constant shape, both outside and inside biological systems. It is shown that an initial small spherical cell in which linear, ordered, inorganic or organic features are built will become distorted. The distortion is due to stresses which affect membrane curvature and consequently rearrange enzymes in membranes. The cell system can rapidly attain a steady-state of development, (‘equilibrium’) growth, of fixed morphology. After a considerable growth period the cell may cease to grow or the steady state may be broken and a transition can then occur to a quite new morphology. Examples are taken mostly from unicellular organisms but the ideas apply to multi-cellular systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01941024
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  • 5
    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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  • 6
    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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  • 7
    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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  • 8
    Electronic Resource
    Electronic Resource
    The natural selection of the chemical elements (1997)
    Springer
    Cellular and molecular life sciences 53 (1997), S. 816-829 
    Details
    ISSN: 1420-9071
    Keywords: Key words. Elements; environment; evolution; natural selection; prokaryotes; eukaryotes; multicellular organisms.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract. Evolution is treated here in a novel way. DNA or any other code is considered to be conservative and therefore, once life began, it would prevent change. Change was imposed upon the DNA code as a stress resulting in vulnerability to 'advantageous' DNA damage and mutation. In this respect it is the stress, the changing environment, that opened up a possibility of evolution once an early life form had optimised itself in primitive circumstances. Here I examine the initial slow-coming-to-terms with the environment of primitive life, and then its evolution as the environment forced the DNA into novel development by introducing chemical elements in new forms. The situation today is no different. Environmental change is hostile to present day life and will lead to further evolution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s000180050102
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  • 9
    Electronic Resource
    Electronic Resource
    A boundary property of semimartingale reflecting Brownian motions (1988)
    Springer
    Probability theory and related fields 77 (1988), S. 87-97 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We consider a class of reflecting Brownian motions on the non-negative orthant inR K . In the interior of the orthant, such a process behaves like Brownian motion with a constant covariance matrix and drift vector. At each of the (K-1)-dimensional faces that form the boundary of the orthant, the process reflects instantaneously in a direction that is constant over the face. We give a necessary condition for the process to have a certain semimartingale decomposition, and then show that the boundary processes appearing in this decomposition do not charge the set of times that the process is at the intersection of two or more faces. This boundary property plays an essential role in the derivation (performed in a separate work) of an analytical characterization of the stationary distributions of such semimartingale reflecting Brownian motions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01848132
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  • 10
    Electronic Resource
    Electronic Resource
    Reflected brownian motion in a wedge: Semimartingale property (1985)
    Springer
    Probability theory and related fields 69 (1985), S. 161-176 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, the object of study is reflected Brownian motion in a two-dimensional wedge with constant direction of reflection on each side of the wedge. The basic question considered here is “When is this process a semimartingale?”. It is first shown that a related process, defined by specifying the corner of the wedge to be an absorbing state, rather than an instantaneous one, is a semimartingale. Conditions for the existence and uniqueness of the process for which the corner is an instantaneous state were given by Vardhan and Williams (“Brownian motion in a wedge with oblique reflection”, Comm. Pure Appl. Math., to appear). Under these conditions, it is shown that starting away from the corner, the process is a semimartingale if and only if there is a convex combination of the directions of reflection that points into the wedge. This equivalence is also shown to hold starting from the corner, except in one unresolved case for which the wedge angle exceeds π and the directions of reflection are exactly opposed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02450279
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