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  • 1
    Electronic Resource
    Electronic Resource
    The drift of a one-dimensional self-repellent random walk with bounded increments (1994)
    Springer
    Probability theory and related fields 100 (1994), S. 513-544 
    Details
    ISSN: 1432-2064
    Keywords: 60K35 ; 58E30 ; 60F10 ; 60J15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Consider a one-dimensional walk (S k ) k having steps of bounded size, and weight the probability of the path with some factor 1−α∈(0,1) for every single self-intersection up to timen. We prove thatS n /S S converges towards some deterministic number called the effective drift of the self-repellent walk. Furthermore, this drift is shown to tend to the basic drift as α tends to 0 and, as α tends to 1, to the self-avoiding walk's drift which is introduced in [10]. The main tool of the present paper is a representation of the sequence of the local times as a functional of a certain Markov process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01268992
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    The drift of a one-dimensional self-avoiding random walk (1993)
    Springer
    Probability theory and related fields 96 (1993), S. 521-543 
    Details
    ISSN: 1432-2064
    Keywords: 60K35 ; 58E30 ; 60F10 ; 60J15
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary We prove that a self-avoiding random walk on the integers with bounded increments grows linearly. We characterize its drift in terms of the Frobenius eigenvalue of a certain one parameter family of primitive matrices. As an important tool, we express the local times as a two-block functional of a certain Markov chain, which is of independent interest.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01200208
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A novel pathway of peptide biosynthesis found in methanogenic Archaea (1994)
    Springer
    Archives of microbiology 162 (1994), S. 430-432 
    Details
    ISSN: 1432-072X
    Keywords: Key words     Methanogens ; Archaea ; Methanobacterium thermoautotrophicum ; Cell walls ; Peptide biosynthesis ; Pseudomurein
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract      The peptide subunits of the pseudomurein, the cell-wall peptidoglycan of some methanogens, are usually composed of glutamic acid, alanine and lysine. In order to get a more detailed picture of the biosynthetic pathway of the peptide subunit, we performed in vitro assays. Starting from glutamic acid a pentapeptide was obtained in seven steps: Nα-UDP-Gluγ→Ala→εLys→Ala ↑γ Glu The pentapeptide structure was identical to that of the peptide subunit of the intact pseudomurein except one additional alanine residue, which is split off during further processing. The pentapeptide synthesis starts with glutamic acid, which is phosphorylated at the Nα-amino group. Nα-phosphoryl-glutamic acid is transferred to a nucleotide-carrier, forming Nα-UDP-glutamic acid. The further pentapeptide biosynthesis is achieved via a di-, tri- and tetrapeptide by stepwise addition of the corresponding amino acids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002030050161
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Isolation of lipid activated pseudomurein precursors from Methanobacterium thermoautotrophicum (1990)
    Springer
    Archives of microbiology 153 (1990), S. 444-447 
    Details
    ISSN: 1432-072X
    Keywords: Methanogens ; Archaebacteria ; Methanobacterium thermoautotrophicum ; Cell walls ; Murein ; Pseudomurein ; Biosynthesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract From cell extracts of the pseudomurein possessing methanogen Methanobacterium thermoautotrophicum two putative pseudomurein precursors were isolated and characterized: (1) an undecaprenyl pyrophosphate activated disaccharide pentapeptide composed of N-acetylglucosamine, N-acetyltalosaminuronic acid, alanine, glutamic acid and lysine in a molar ratio of 1:1:2:2:1 and (2) the corresponding undecaprenyl pyrophosphate activated tetrapeptide lacking one alanine residue. The isolation of these precursors show that the biosynthesis of the eubacterial murein and the methano-bacterial pseudomurein differs not only in the cytoplasmic step, as recently described, but also in the lipid stage.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00248425
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    A novel pathway of peptide biosynthesis found in methanogenic Archaea (1994)
    Springer
    Archives of microbiology 162 (1994), S. 430-432 
    Details
    ISSN: 1432-072X
    Keywords: Methanogens ; Archaea ; Methanobacterium thermoautrophicum ; Cell walls ; Peptide biosynthesis ; Pseudomurein
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Abstract The peptide subunits of the pseudomurein, the cell-wall peptidoglycan of some methanogens, are usually composed of glutamic acid, alanine and lysine. In order to get a more detailed picture of the biosynthetic pathway of the peptide subunit, we performed in vitro assays. Starting from glutamic acid a pentapeptide was obtained in seven steps: $$\begin{gathered} N^\alpha - UDP - Glu^\gamma \to Ala \to ^\varepsilon Lys \to Ala \hfill \\ \uparrow ^\gamma \hfill \\ Glu \hfill \\ \end{gathered} $$ The pentapeptide structure was identical to that of the peptide subunit of the intact pseudomurein except one additional alanine residue, which is split off during further processing. The pentapeptide synthesis starts with glutamic acid, which is phosphorylated at the Nα-amino group. Nα-phosphoryl-glutamic acid is transferred to a nucleotide-carrier, forming Nα-UDP-glutamic acid. The further tetrapeptide by stepwise addition of the corresponding amino acids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00282108
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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