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Spectral analysis of the space distribution of elements in proliferating cell populations


, : Spectral analysis of the space distribution of elements in proliferating cell populations. Bollettino Societa Italiana Biologia Sperimentale 63(3): 201-208

The computer simulation of a proliferating cell population is started with one element that divides into two elements, which in turn divide to form four elements and so fourth, till the total number of elements is over 2000. The life-span of each element is divided into two phases: a resting phase (whose duration is variable and randomly determined) and a division phase of fixed duration. The elements of the population are arranged in a row since after each division the two newly-formed elements occupy the position of the parent element and that immediately to the right, all the subsequent elements being shifted by one position to the right. At the end of the simulated development the resting elements are coded by 0's and the elements in progress of division are coded by 1's. The power spectrum of that numerical series exhibits a progressive decay of the powers from lower to higher frequencies, like in a first-order Markow process with a positive coefficient.

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