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Using Blinking Fractals for Mathematical Modeling of Processes of Growth in Biological Systems
Volume 22, Issue 4 (2011), pp. 559–576
Yaroslav D. Sergeyev  

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https://doi.org/10.15388/Informatica.2011.342
Pub. online: 1 January 2011      Type: Research Article     

Received
1 March 2011
Accepted
1 October 2011
Published
1 January 2011

Abstract

Many biological processes and objects can be described by fractals. The paper uses a new type of objects – blinking fractals – that are not covered by traditional theories considering dynamics of self-similarity processes. It is shown that both traditional and blinking fractals can be successfully studied by a recent approach allowing one to work numerically with infinite and infinitesimal numbers. It is shown that blinking fractals can be applied for modeling complex processes of growth of biological systems including their season changes. The new approach allows one to give various quantitative characteristics of the obtained blinking fractals models of biological systems.

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Keywords
process of growth mathematical modeling in biology traditional and blinking fractals infinite and infinitesimal numbers

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INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
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