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  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Macmillan Magazines Ltd.
    Nature 387 (1997), S. 565-566 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] During his distinguished scientific career, John Cairns served as director of Cold Spring Harbor Laboratory on Long Island, New York, director of a laboratory of the Imperial Cancer Research Fund in London, and professor at Harvard School of Public Health in Cambridge, Massachusetts. He conducted ...
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 58 (1996), S. 1187-1207 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract How two species interact during and after colonization influences which of them will be present in each stage of succession. In the tolerance model of ecological succession in a patchy environment, empty patches can be colonized by any species, but the ability to tolerate reduced resource levels determines which species will exclude the other. Here, we analyze a meta-population model of the possible roles of competition in colonization and succession, using non-linear Markov chains as a mathematical framework. Different kinds of competition affect the final equilibrial, abundances of the species involved in qualitatively different ways. An explicit criterion is given to determine which interactions have stronger effects on the final equilibrial levels of the weaker, species. Precise conditions are stated for the co-existence of both species. Both species are more likely to co-exist in the presence of an intermediate disturbance frequency.
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  • 3
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract Given a stationary time seriesX and another stationary time seriesY (with a different power spectral density), we describe an algorithm for constructing a stationary time series Z that contains exactly the same values asX permuted in an order such that the power spectral density ofZ closely resembles that ofY. We call this methodspectral mimicry. We prove (under certain restrictions) that, if the univariate cumulative distribution function (CDF) ofX is identical to the CDF ofY, then the power spectral density ofZ equals the power spectral density ofY. We also show, for a class of examples, that when the CDFs ofX andY differ modestly, the power spectral density ofZ closely approximates the power spectral density ofY. The algorithm, developed to design an experiment in microbial population dynamics, has a variety of other applications.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 43 (1981), S. 717-717 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Circuits, systems and signal processing 16 (1997), S. 363-374 
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper we investigate new Fourier series with respect to orthonormal families of directed cycles $$\gamma $$ , which occur in the graph of a recurrent stochastic matrixP. Specifically, it is proved thatP may be approximated in a suitable Hilbert space by the Fourier series $$\sum {w_\gamma } \underline \gamma $$ . This approach provides a proof in terms of Hilbert space of the cycle decomposition formula for finite stochastic matricesP.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of molecular evolution 15 (1980), S. 37-57 
    ISSN: 1432-1432
    Keywords: Lognormal distribution ; Subunit size ; Mammalian protein ; Bacterial protein ; Sedimentation profile
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary The frequency distributions of size (molecular weight) and of numbers of subunits were determined from lists of over 500 mammalian and bacterial proteins. The size distribution of polypeptides is well fitted by a lognormal distribution with a median value of about 40,000 daltons and a deviation of 1.8. About 60% of all proteins exist in multimeric aggregates. Of the multimers 75% have either two or four subunits while less than 1% have an odd number of subunits that is greater than three. Over 90% of the time, a given multimer is composed of subunits of nearly equal size so that the size of a N-mer is lognormally distributed with a median value of N x 40,000 daltons and a deviation of 1.8. The distribution of polypeptide size and subunit number is similar for mammalian and bacterial proteins as well as for intracellular and extracellular proteins. The sedimentation profiles of mRNA from HeLa and CHO cells indicate that the lengths of mammalian mRNA are lognormally distributed with a median value of 1.4 kb and a deviation of 2.0. This implies that, on the average, a mRNA species is only about 25% larger than the mature polypeptide it codes for. Therefore, at most a small fraction of mammalian mRNA could code for large precursor polypeptides which are then cleaved into a number of mature polypeptides (like polio mRNA), or for 3′ coterminal mRNAs where the larger species contain the information for up to four proteins (like adenovirus mRNA). The sedimentation profile of nascent nuclear RNA from HeLa suggests that the length distribution of transcription units has 2 components: An exponential component that decays with a half-length of 10–15 kb, and a high frequency of very short molecules. However, other distributions (for example, the lognormal distribution) of transcription unit lengths could also be consistent with the data if one or more of the following occurred: Physiological cleavage of nascent chains, perturbation of non-rRNA transcription by actinomycin D, or degradation during isolation. The length distribution of HeLa nuclear RNA labeled for 60 min is similar to that of nascent nuclear RNA, indicating that a completed hnRNA chain is quickly transported or degraded after being cleaved.
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  • 7
    ISSN: 1432-0886
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract DNA fiber autoradiography was used to analyze the spatial and temporal organization of activated initiation sites for DNA replication in mouse L929 cells infected with reovirus type 3 (Dearing strain) and in uninfected control cells. Cells were labeled for 10 min with3H-thymidine at high specific activity followed by 3 h of low specific activity labeling. Reovirus infection causes no change in the rate of replication fork progression, but increases both the mean distance between activated initiation sites by ∼ 30% and the nonrandomness in the spatial distribution of the sites along the DNA fibers. Significant synchronization of initiation in adjacent activated sites was detected on DNA fibers from uninfected cells and from reovirusinfected cells. The mean relative initiation time for pairs of initiation events which had occurred prior to high specific activity labeling did not differ significantly between the infected and uninfected cells. The data are consistent with the interpretation that reovirus infection shuts off initiation sites in a coordinated fashion, possibly by preventing activation of entire clusters of potential initiation sites.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 32 (1994), S. 663-676 
    ISSN: 1432-1416
    Keywords: Disturbed competition ; Coexistence ; Metapopulations ; Diversity ; Global stability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We give the first mathematically rigorous proof that disturbances allow competing species to coexist. This work provides a mathematical framework to explain the existence of fugitive species and the role played by disturbances in increasing or decreasing the biodiversity of ecosystems. We study modifications of the metapopulation model for patchy environments proposed by Caswell and Cohen (1990, 1991). For the one- and two-species models we give necessary and sufficient conditions on the parameters for the existence of a non-trivial equilibrium solution, which is shown to be always globally stable.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Population and environment 10 (1988), S. 59-72 
    ISSN: 1573-7810
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Sociology
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Evolutionary ecology 6 (1992), S. 73-89 
    ISSN: 1573-8477
    Keywords: food chain ; consumer-resource interaction ; predator-prey interaction ; stratigraphy ; spectrum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Notes: Summary Four concepts are considered for the trophic level of a species in a community food web. The long-way-up-level (or LU-level) of species A is the length of the longest simple food chain from a basal species (one with no prey in the web) to A. (A simple chain is a chain that does not pass through any given species more than once.) The short-way-up-level (SU-level) of species A is the length of the shortest chain from a basal species to A. The long-way-down-level (LD-level) of species A is the length of the longest simple chain from species A to a top species (one with no consumers in the web). The short-way-down-level (SD-level) of species A is the length of the shortest chain from species A to a top species. The stratigraphy of a web is the analogue for species of the ‘pyramid of numbers’ for individuals: it is the frequency distribution of species according to level. The LU-, SU-, LD-, and SD-stratigraphies of the seven webs in the Briand-Cohen collection with 30 or more trophic species reveal no species with LU-level or LD-level more than 6, no species with SU-level more than 3, and no species with SD-level more than 2. In all seven webs, SD-levels are stochastically less than SU-levels: species tend to be closer to a top predator than to a basal species. Two stochastic models of food web structure (the cascade model and the homogeneous superlinear model) correctly predict that 95% or more of species should have LU-level and LD-level in the range 0–6. The models also correctly predict some details of the distribution of species in the SU- and SD-stratigraphies, particularly the fraction of species in level 1. The models do not, in general, correctly predict the distribution of species within the range 0–6 of LU-levels and LD-levels.
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