Abstract

Background: Chronic lymphocytic leukemia (CLL) affects lymphoid cells and has a different chronic course. Some patients die due to the rapid progression of disease despite therapeutic measures. Therefore, it is necessary to identify, predict the disease, and seek new therapeutic strategies.

Introduction: Fractal geometry can be introduced as one of the most efficient methods to study the control of CLL in this type of cancer. The present research, presenting an appropriate model for investigating the possibility of CLL control using the fractal parameter.

Method: First, blood samples of the 30 healthy and 30 CLL samples with leukemia undergoing treatment were selected randomly. Second, the digital images were prepared using an optical microscope with a magnification of X100. Next, the fractal dimension of the lymphocyte nucleus of healthy and leukemia undergoing treatment was calculated using fractal software. Finally, the results were analyzed, and the fractal parameter of Neoplastic lymphocytes detection (λnld) was introduced and was calculated.

Result: The probability of CLL development increases with an increase in fractal parameter of Neoplastic lymphocytes detection (λnld). If the λnld value decreases during the CLL treatment, then the CLL was controlled. Full recovery occurs when λnld is smaller than the unit.

Conclusion: The average fractal dimension of the healthy lymphocytes and CLL nucleus and the fractal parameter of Neoplastic lymphocytes detection (λnld) in this research were 1.781992 ± 0.046178, 1.801322 ± 0.042357 and 0.21833 respectively. Because the λnld is smaller than the unit, the full recovery occurs for this therapeutic group