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  • 1
    Electronic Resource
    Electronic Resource
    The Effect of Drug Schedule on Responsiveness to Chemotherapy (1987)
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 504 (1987), S. 0 
    Details
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1749-6632.1987.tb48738.x
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  • 2
    Electronic Resource
    Electronic Resource
    Drug resistance as a dynamic process in a model for multistep gene amplification under various levels of selection stringency (1992)
    Springer
    Cancer chemotherapy and pharmacology 30 (1992), S. 469-476 
    Details
    ISSN: 1432-0843
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary Resistance to antineoplastic drugs has been a major impediment to the successful treatment of cancer. Recent studies suggest that several mechanisms are responsible for the emergence of drug resistance but that high levels of resistance and poor prognosis are strongly associated with gene or oncogene amplification. In this report we describe a probabilistic model for gene amplification in a tumor that grows under various drug protocols. The model is new in that it treats drug resistance as a dynamic process and examines specific assumption about the underlying molecular events. Using this model, we specify the conditions for the emergence of drug-resistant mutants prior to selection as well as the relationship between the stringency of the selecting environments and the characteristics of the resultant cellular phenotype.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00685599
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  • 3
    Electronic Resource
    Electronic Resource
    Book reviews (1993)
    Springer
    Bulletin of mathematical biology 55 (1993), S. 1013-1024 
    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/BF02460697
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Pulse vaccination strategy in the SIR epidemic model (1998)
    Springer
    Bulletin of mathematical biology 60 (1998), S. 1123-1148 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Theoretical results show that the measles ‘pulse’ vaccination strategy can be distinguished from the conventional strategies in leading to disease eradication at relatively low values of vaccination. Using the SIR epidemic model we showed that under a planned pulse vaccination regime the system converges to a stable solution with the number of infectious individuals equal to zero. We showed that pulse vaccination leads to epidemics eradication if certain conditions regarding the magnitude of vaccination proportion and on the period of the pulses are adhered to. Our theoretical results are confirmed by numerical simulations. The introduction of seasonal variation into the basic SIR model leads to periodic and chaotic dynamics of epidemics. We showed that under seasonal variation, in spite of the complex dynamics of the system, pulse vaccination still leads to epidemic eradication. We derived the conditions for epidemic eradication under various constraints and showed their dependence on the parameters of the epidemic. We compared effectiveness and cost of constant, pulse and mixed vaccination policies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1006/S0092-8240(98)90005-2
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