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## Revista U.D.C.A Actualidad & Divulgación Científica

*versão impressa* ISSN 0123-4226

#### Resumo

RODRIGUEZ, Javier et al. **SIMULATIONS OF CERVICAL CELLS FROM NORMAL TO ATYPICAL SQUAMOUS CELLS OF UNDETERMINED SIGNIFICANCE (ASCUS) WITH FRACTAL GEOMETRY**.* rev.udcaactual.divulg.cient.* [online]. 2013, vol.16, n.2, pp.303-311.
ISSN 0123-4226.

Conventional systems for evaluation of cervical cytology have reproducibility problems in relying on qualitative observations. Thus a methodology was developed to diagnose cervical cells from fractal geometry. From the fractal dimensions of objects defined in the cell, it was found differences between normality and disease. Also has been shown that the classification ASCUS (Atypical Squamous Cells of Undetermined Significance) could be clarified by demonstrating its mathematical behavior similar to normal or disease. Besides, it was developed a generalization of such methodology showing all possible prototypes from normal cells to carcinoma. From the generalization developed and starting with three normal cells, in this work is made a simulation of possible cellular alterations from normality to ASCUS state whose mathematical values can be normal or LSIL (Low-grade Squamous Intraepithelial Lesion). For this, three possible geometric variations for each cell in the space of box counting was simulated, fractal dimension was calculated for nucleus, cytoplasm and whole, maintaining the values of variability and cellular AMI (Intrinsic Mathematical Harmony). Simulations of possible trajectories from normal to ASCUS were obtained, both with normal characteristics or L-SIL characteristics, with quantitative, objective and reproducible measures. It showed a fractal organization of the cell architecture called ASCUS, which allows the development of non-causal trajectories of cellular alteration useful in daily clinical practice.

**Palavras-chave
:
**Fractal dimension; Cervical Cancer; Cytology; simulation; ASCUS.