Using blinking fractals for mathematical modeling of processes of growth in biological systems

TL;DR

This paper introduces blinking fractals, a novel type of fractal, and demonstrates their application in modeling biological growth processes, including seasonal changes, using a recent numerical approach for infinite and infinitesimal quantities.

Contribution

The paper presents blinking fractals as a new modeling tool for biological growth, extending traditional fractal theories with a numerical approach for complex, dynamic systems.

Findings

Blinking fractals can model biological growth processes.

The approach enables quantitative analysis of biological systems.

Blinking fractals effectively incorporate seasonal variations.

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.