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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 10 (1980), S. 257-269 
    ISSN: 1432-1416
    Keywords: Blue-green algae ; Light trap ; Mathematical model ; Phobic response ; Phormidium uncinatum ; Photoaccumulation ; Photomovement ; Phototaxis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model has been developed to evaluate the contribution of phototactic responses in light-induced accumulations. A set of differential equations describes the organism density inside and outside of the light trap as well as on its border. The model predicts that organisms first occupy the rim of the light trap and then gradually fill the interior. This has been substantiated experimentally. Computer simulations of light-induced accumulations in a light trap agree with the measured values. The distance from the trap within which organisms respond phototactically depends on the organism density, which determines the amount of stray light, and on the zero threshold for both phototaxis and photophobic response.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 5 (1978), S. 293-304 
    ISSN: 1432-1416
    Keywords: Continuity equations ; Light trap method ; Mathematical model ; Photophobic reaction ; Population method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Summary Accumulations of the filamentous Cyanophyceae Phormidium uncinatum in light traps result from repeated photophobic reactions at the light-dark border. The time course of accumulations shows an initial linear part and reaches a saturation level after longer periods of time. A mathematical model is proposed based on a limited number of fundamental assumptions, which can be justified by the experimental data. A set of differential equations, which can be solved in a closed form, describe the current density j of the net influx of trichomes into the light trap. Absorption by the accumulating organisms diminishes the initial light intensity I 0 to a limiting intensity I 1 below which no more organisms react phobically. I 1 depends on the initial light intensity I 0. Furthermore the absorbance of a single layer of organisms has been calculated from the experimental data.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 1982-02-01
    Print ISSN: 0095-8956
    Electronic ISSN: 1096-0902
    Topics: Mathematics
    Published by Elsevier
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