  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.
