Med. Weter. 80 (5), 195-199, 2024

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Janusz A. Madej
Cancers as structures corresponding to "infinite" ("immortal") fractals
It has been shown that the proliferation of cancer cells probably corresponds, as the cell proliferates, to “infinite” branching fractal (fractus – broken) structures. A cancer has an infinite number of such structures, compared to the finite number in blood vessels in a healthy body, but only until the macroorganism or the cancer itself dies. It can also be assumed that there is an “infinite fractality” of cancer cells in vitro because of the constant conditions of their culture and the absence of need for neoangiogenesis. Primary tumors and their metastases have a fractal outline (correlative CD) that is infinite, unpredictable, constantly growing, and non-stochastic, resulting from their development, progression, and “immortality”. Their fractality is non-linear, i.e. it speeds up, slows down, or may temporarily be stopped for many years. Determining the fractal size of a tumor can probably be used to assess the degree of its malignancy and thus improve therapy.
Keywords: fractals, blood vessels, cancer