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  • 1
    Electronic Resource
    Electronic Resource
    Conflict between Positive and Negative Feedback as an Explanation for the Initiation of Aggregation in Slime Mould Amoebae (1970)
    [s.l.] : Nature Publishing Group
    Nature 227 (1970), S. 1365-1366 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Slime mould amoebae are attracted to a certain substance which they secrete themselves. (It is called acrasin, and has been identified in one species as cyclic-AMP2.) The amoebae also secrete an enzyme (acrasinase) which catalyses the breakdown of acrasin. We shall use these facts to explain the ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/2271365a0
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  • 2
    Electronic Resource
    Electronic Resource
    Hypothesis for origin of planktonic patchiness (1976)
    [s.l.] : Nature Publishing Group
    Nature 259 (1976), S. 659-659 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The results that we describe depend on two hypothesised properties of the full equations: an autocatalytic effect in phytoplankton density which is attributed to a reduced efficiency of herbivory as phytoplankton density increases (a Moiling8 Type 2 functional response), and differential dispersal ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/259659a0
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  • 3
    Electronic Resource
    Electronic Resource
    Editorial: Viewpoint (1989)
    Springer
    Bulletin of mathematical biology 51 (1989), S. 415-415 
    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/BF02460080
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  • 4
    Electronic Resource
    Electronic Resource
    Extending the quasi-steady state approximation by changing variables (1996)
    Springer
    Bulletin of mathematical biology 58 (1996), S. 43-63 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The parameter domain for which the quasi-steady state assumption is valid can be considerably extended merely by a simple change of variable. This is demonstrated for a variety of biologically significant examples taken from enzyme kinetics, immunology and ecology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458281
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  • 5
    Electronic Resource
    Electronic Resource
    Modeling immunotherapy for allergy (1996)
    Springer
    Bulletin of mathematical biology 58 (1996), S. 1099-1121 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Type I hypersensitivity, which functions to protect the organism from parasites, is caused by binding of antigen to IgE antibodies pre-attached to the cell surface of tissue mast cells and their circulating counterparts, the basophils. In “allergy,” type I hypersensitivity is inappropriately induced by protein-based foreign substances (such as pollen) or protein components of insect stings, which in the normal course of events would be cleared from the organism without causing any damage. Paradoxically, a successful clinical treatment of allergy involves repeated immunization of allergic persons with low doses of the allergen—immunotherapy. Investigation of the available experimental evidence leads to the conclusion that the phenomena of immunotherapy are best addressed in terms of the interplay among the mechanism(s) of immune memory—Th1/Th2 cross-regulation—and the physical compart-mentalization of the immune system. These conclusions are illustrated with a numerical simulation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458385
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  • 6
    Electronic Resource
    Electronic Resource
    On the validity of the steady state assumption of enzyme kinetics (1988)
    Springer
    Bulletin of mathematical biology 50 (1988), S. 579-593 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract By estimating relevant time scales, a simple new condition can be found that ensures the validity of the steady state assumption for a standard enzyme-substrate reaction. The generality of the approach is demonstrated by applying it to the determination of validity criteria for the steady state assumption applied to an enzyme-substrate-inhibitor system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460092
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  • 7
    Electronic Resource
    Electronic Resource
    Editorial: Software survey section (1987)
    Springer
    Bulletin of mathematical biology 49 (1987), 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/BF02459702
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  • 8
    Electronic Resource
    Electronic Resource
    Book reviews (1991)
    Springer
    Bulletin of mathematical biology 53 (1991), S. 487-503 
    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/BF02460730
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  • 9
    Electronic Resource
    Electronic Resource
    Editorial (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/BF02459973
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  • 10
    Electronic Resource
    Electronic Resource
    Reverse engineering: A model for T-cell vaccination (1994)
    Springer
    Bulletin of mathematical biology 56 (1994), S. 687-721 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A class of minimal models is constructed that can exhibit several salient phenomena associated with T-cell inoculations that prevent and cure autoimmune disease. The models consist of differential equations for the magnitude of two populations, the effectorsE (which cause the disease), and an interacting regulator populationR. In these models, normality, vaccination and disease are identified with stable steady-states of the differential equations. Thereby accommodated by the models are a variety of findings such as the induction of vaccination or disease, depending on the size of the effector inoculant. Features such as spontaneous acquisition of disease and spontaneous cure require that the models be expanded to permit slow variation of their coefficients and hence slow shifts in the number of steady-states. Other extensions of the basic models permit them to be relevant to vaccination by killed cells or by antigen, or to the interaction of a larger number of cell types. The discussion includes an indication of how the highly simplified approach taken here can serve as a first step in a modeling program that takes increasing cognizance of relevant aspects of known immunological physiology. Even at its present stage, the theory leads to several suggestions for experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460717
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