Fractal and multifractal analysis methods are employed to find scale invariance, irregularity and self‐similarity of computerized images and signals. Mathematical modeling solutions in cancer cases enable the comprehension of the biological complexity of cancer, optimization of treatment and development of approaches personalized for each patient. Diagnosis of cancer relies on the degree of accuracy, which depends on the development of parameter identifications against the measured data concerning observed phenomena as the parameters in biomedical models. Symmetry and symmetry-breaking notions of biology and physics may be applied to cancer whose features are examined in relation to symmetry breaking, among which tumor heterogeneity, fractal geometric and information structure, along with functional interaction networks can be addressed. To this end, this study has focused on the mathematical examination of the significant role of multifractal analysis methods in their application to medical images. 2D multifractal pumping method is applied to colon cancer MRI data. For these purposes, local regularity calculation (use of multifractal), Hölder exponent calculation, denoising and transformation with inverse wavelet have been performed analyzing all the pixels from the MRI images. All the pixels, namely matrices, have been calculated on the MRI images of colon cancer patients through computerized applications. The calculations and analyses have shown that computerized applications with technological foundation can facilitate diagnosis, treatment and management for patients with cancer and / or other complex dynamic diseases.