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Acta Haematol. 2008;119(3):142-50. doi: 10.1159/000125551. Epub 2008 Apr 16.

Lymphoma and leukemia cells possess fractal dimensions that correlate with their biological features.

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  • 1Department of Internal Medicine A, Rabin Medical Center-Beilinson Hospital, Petah Tikva, Israel.

Abstract

BACKGROUND:

Living cells can be viewed as complex adaptive systems that exhibit non-linear dynamics and fractal features. We investigated the fractal qualities of normal and malignant hematological cells and their potential as a tool for characterizing cell phenotype and clinical behavior.

METHODS:

A mathematical algorithm and an optic tool for fractal analysis of nuclei were developed. A total of 4,713 lymphoid cells derived from 66 patients of five distinct diagnostic groups (normal and reactive lymphocytes, low-grade lymphomas and an aggressive lymphoma) were assessed for their fractal dimension. In addition, in 19 patients fractal analysis of leukemia cells was compared to clinical endpoints.

RESULTS:

After validating our method, hematological cells possessed fractal dimensions corresponding to their clinical entity. There was a highly significant overall difference in fractal dimensions between various types of hematological malignancies. A preliminary correlation was found between the fractal dimension and the clinical outcome of leukemia patients.

CONCLUSIONS:

Hematological cells possess fractal dimensions that correlate with their biological properties. Measurement of fractal dimension seems to be a sensitive method to assess the hematological cell phenotype and to define a clinical group. This tool may be potentially useful for the evaluation of clinical behavior of hematological diseases.

2008 S. Karger AG, Basel.

[PubMed - indexed for MEDLINE]
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