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  • Springer  (55,483)
  • Institute of Physics  (10,106)
  • 1985-1989  (65,589)
  • 1988  (65,589)
  • 11
    Electronic Resource
    Electronic Resource
    Interactions leading to persistence in predator-prey systems with group defence (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 517-530 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In previous work (Freedman and Wolkowicz, 1986;Bull. math. Biol. 48, 493–508) it was shown that in a predator-prey system where the prey population exhibits group defence, it is possible that enrichment of the environment could lead to extinction of the predator population. In this paper a third population is introduced and criteria are derived under which persistence of all populations will occur. In particular, criteria for a superpredator and for a competitor to stabilize the system in the sense of persistence are analyzed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458850
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  • 12
    Electronic Resource
    Electronic Resource
    The unstirred layer during osmotic flow into a tubule (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 531-545 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The interaction between osmotic inflow through the wall of a narrow tubule and bulk flow in the tubule is described. Solution are found by a finite difference method, and two approximate analytic solutions are given. Results given here enable more accurate estimates of osmotic permeability to be obtained for the tubule wall. The theory predicts the behaviour of unstirred layers as experimental parameters are varied and enables tubule experiments to be designed so as to reduce unwanted unstirred layer effects.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458851
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  • 13
    Electronic Resource
    Electronic Resource
    Book reviews (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 567-576 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458854
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  • 14
    Electronic Resource
    Electronic Resource
    Software survey section (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. I 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458856
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  • 15
    Electronic Resource
    Electronic Resource
    Stationary mutant distributions and evolutionary optimization (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 635-660 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Molecular evolution is modelled by erroneous replication of binary sequences. We show how the selection of two species of equal or almost equal selective value is influenced by its nearest neighbours in sequence space. In the case of perfect neutrality and sufficiently small error rates we find that the Hamming distance between the species determines selection. As the error rate increases the fitness parameters of neighbouring species become more and more important. In the case of almost neutral sequences we observe a critical replication accuracy at which a drastic change in the “quasispecies”, in the stationary mutant distribution occurs. Thus, in frequently mutating populations fitness turns out to be an ensemble property rather than an attribute of the individual. In addition we investigate the time dependence of the mean excess production as a function of initial conditions. Although it is optimized under most conditions, cases can be found which are characterized by decrease or non-monotonous change in mean excess productions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460094
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  • 16
    Electronic Resource
    Electronic Resource
    Time-dependent subpopulation induction in heterogeneous tumors (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 681-696 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Time-dependent induction of clonal heterogeneity in the neoplastic micro-environment is analysed within the context of a competitive ecology. A model that describes a constant source for clonal emergence was analysed by Michelsonet al. (1987) as an extension of a model proposed by Jansson and Revesz (1974). The extended model has been termed the JRE Model. This paper extends these analyses to time-dependent emergence rates which may represent induction in the presence of a cytotoxic agent. If the analysis is constrained to the tumor micro-environment, and if the emergent subpopulation is drug resistant, then the model may describe the induction and emergence of drug resistant subclones in a growing neoplasm. Asymptotic closed form solutions are derived for a class of emergence rate functions which decay asymptotically to a constant mutation rate. This underlying mutation rate may represent spontaneous mutation to the resistant phenotype, and has been analysed stochastically (Coldmanet al., 1985). The asymptotic solutions to the time-dependent model approach the steady state solution for the JRE Model which represents the dynamics observed in the presence of a constant, spontaneous mutation rate. The clinical and biological implications of these results are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460096
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  • 17
    Electronic Resource
    Electronic Resource
    Book reviews (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 697-700 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460097
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  • 18
    Electronic Resource
    Electronic Resource
    The Society for Mathematical Biology is pleased to announce an Annual Best Paper Award of $1000 (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 701-701 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460098
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  • 19
    Electronic Resource
    Electronic Resource
    Editorial: Software survey section (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. I 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460099
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  • 20
    Electronic Resource
    Electronic Resource
    The decimation-in-frequency algorithms for a family of discrete sine and cosine transforms (1988)
    Springer
    Circuits, systems and signal processing 7 (1988), S. 3-19 
    Details
    ISSN: 1531-5878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract In this paper we present results in the development of decimation-in-frequency algorithms for a family of discrete sine and cosine transforms. They are closely related to the decimation-in-time algorithms developed by Yip and Rao [1]. The complexity of the algorithms was examined through the number of multiplications and additions as well as the number of different constants required in the transforms. It was found that the decimation-in-frequency approach provides a viable alternative to other fast algorithms for the discrete sine and cosine transforms. In particular, the recursive and modular structure of the algorithms lends itself readily to possible hardware realization.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01600005
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