Abstract

RODRIGUEZ, Javier et al. SIMULATION OF DISTURBANCE PATHS OF CERVIX UTERI CELLS FROM NORMAL STATE TO LOW GRADE SQUAMOUS INTRAEPITHELIAL LESION. rev.udcaactual.divulg.cient. [online]. 2014, vol.17, n.1, pp.5-12. ISSN 0123-4226.

A mathematical diagnosis of cells from cervicovaginal cytology was previously developed establishing objective and reproducible characterizations for different stages of cellular disturbance from normality to carcinoma. In this paper we start from this methodology to establish possible routes of preneoplastic alteration from normal to L-SIL. Ten digital images of squamous cells of cervix uterine with normal diagnosis were studied. The images were analyzed through a software with which fractal dimension of defined mathematical objects was calculated. Fractal variability and Cellular Intrinsic Mathematical Harmony (IMH) values were calculated for each sample. From these values, simulations of disturbances paths of each normal cell towards to L-SIL cell were realized, doing three possible variations of spaces of cellular occupation in Box-counting space. A possible disturbance path towards to L-SIL state for each normal cell was established. Each path is defined by three variation possibilities of spaces of occupation of defined objects. Each possibility can exhibit mathematical characteristics of intermediate states of disturbance. Fractal dimension values of the three defined objects in normal cells: cytoplasm, nucleus and totality were between 1.0512 y 1.9944. Variability and IMH values were between 0 and 6. A fractal organization of cervix cellular structure was evidenced allowing to establish simulation of disturbance. This finding can represent a useful tool in clinical practice.

Keywords : Fractal dimension; Cervical Cancer; Cytology; simulation; L-SIL.

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