Abstract
Objective
To characterize the different stages of evolution from normality to neoplasia, in gastric mucosal cells in the context of fractal geometry.
Patients and Methods
46 photographs of normal gastric cells and with different neoplastic lesions were selected. The fractal dimension of the cytoplasm and nucleus was calculated, as well as its spatial occupation,replica watches and sensitivity, specificity and Kappa coefficient.
Results
The difference between the cytoplasm border and the nucleus showed values between 128 and 470 for normality, between 91 and 219 for well-differentiated intestinal adenocarcinoma, between 68 and 229 for moderately differentiated adenocarcinoma, between 67 and 231 for the poorly differentiated and between 10 and 360 for the diffuse variant with signet ring cells. Specificity and sensitivity were 100% taking as a gold standard the conventional histopathological characterization.
Conclusions
the clinical applicability of the calculation of the fractal dimension allows cellular characterization in a quantitative, objective and reproducible manner; showing to be useful for the prediction of evolution to the stages of malignancy.

Key words: Nonlinear Dynamics, Fractals, Stomach Neoplasms, Diagnosis, Adenocarcinoma.

(Citation: Gastric & Breast Cancer 2020; 15(1): 16-24)

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